x/5 - 4 = 1 solve. show work using inverse operations
Answers
Answer:
25
Step-by-step explanation:
x/5-4=1
x/5=1+4
x/5=5
x=5×5
x=25
Related Questions
Find the domain and range of f^-1 given f(x)=1/4-9x 
Answers
The average expenditure for hip replacement is $12,485 for country A and 14,438 for country B. the P value(two tailed) is 0.063. What do the data determine in this scenario? a. if average expenditure in country A can predict expenditure in country B b. if there is a relationship in average expenditure between the two countries c. if there is difference in average expenditure between the two countries d. if the average expenditure in country A and country B are normally distributed A sample of rural residents was surveyed to determine the number of times for residents saw a primary care provider in one year. On average, the participants saw their provider 3.3 times per year. ( 95% confidence interval 0.1 to 6.1 ) why was this of statistical use for this sample? a. It was a count variable b. It was a categorical variable c. It is a binary variable d. It is a ratio variable Administrators at a rural hospital want to determine causes for their financial distress. In doing so, they have identified that the average operating margin for a rural hospital is −1.32% (stander deviation is ±0.89% ) Why is the average operating margin appropriate to use in this situation? a. It is a measure of the fifth percentile b. it identifies the range of the data c. it identifies the outliers in the data d. it is a measure of central tendency Ebola is transmitted through human contact. although relief agencies sent medical team to provide treatment the impacted communities prefer to maintain isolation against outsiders. the distrust of outsiders 'cause a hesitancy to accept treatment. which consideration factor will ultimately contribute to the spread of Ebola? a. the influence of non-indigenous people b. the population density of the affected area c. dry and air climates which suits the virus d. the cultural influence of the community Last year a developing country had 1500 reported cases of malaria. during that time there were 400 deaths reported from the disease: 300 of the disease were people over age 18 , in 100 deaths were people underage 18 . What is the case fatality rate? 100∗100/400=25 400∗10/1500=2.67 100∗10/400=2.5 400∗100/1500=26.67
Answers
The case fatality rate is 400 * 100 / 1500 = 26.67 (option d).
For the first scenario, the data determine that there is a difference in average expenditure between the two countries (option c). The P-value of 0.063 suggests that there is a moderate level of statistical significance, indicating that the difference in average expenditure is likely not due to random chance.
In the second scenario, the fact that the 95% confidence interval for the average number of times participants saw their provider per year (3.3) ranges from 0.1 to 6.1 is of statistical use because it provides a range estimate within which the true population means is likely to fall. This interval helps account for the uncertainty associated with the sample estimate and provides a measure of the precision of the estimate (option a).
For the third scenario, the average operating margin is appropriate to use because it is a measure of central tendency that represents the typical financial performance of rural hospitals. The standard deviation provides information about the variability of the operating margins (option d).
In the fourth scenario, the consideration factor that will ultimately contribute to the spread of Ebola is the population density of the affected area (option b). While factors like the influence of non-indigenous people and climatic conditions may play a role, population density is a key determinant in the transmission and spread of infectious diseases.
For the fifth scenario, the case fatality rate is calculated by dividing the number of deaths from the disease (400) by the total reported cases (1500) and multiplying by 100. Therefore, the correct calculation is 400 * 100 / 1500 = 26.67 (option d). This indicates that the case fatality rate is approximately 26.67%.
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There are 45 people coming to a picnic at which hot dogs will be served. Hot dogs come in packages of 8 that cost $2.50 each, and hot dog rolls come in packages of 10 that cost $2.00 each. If enough hot dogs and hot dog rolls will be purchased so that each person can have at least one hot dog in a roll, what is the minimum that can be spent on hot dogs and hot dog rolls?
Answers
To ensure that each person at the picnic has at least one hot dog in a roll, a minimum amount of $8.00 needs to be spent on hot dogs and hot dog rolls.
This can be achieved by purchasing one package of hot dogs and one package of hot dog rolls, totaling $4.50. Since each package contains more than the required number of items, no additional purchases are necessary.
Given that there are 45 people coming to the picnic and each person needs to have at least one hot dog in a roll, we need to calculate the minimum cost for purchasing the required number of hot dogs and hot dog rolls.
Hot dogs come in packages of 8, so we need at least 45/8 = 5.625 packages of hot dogs. Since we cannot purchase a fraction of a package, we round up to the next whole number, which is 6. Therefore, we need to purchase 6 packages of hot dogs.
Similarly, hot dog rolls come in packages of 10, so we need at least 45/10 = 4.5 packages of hot dog rolls. Again, rounding up to the next whole number, we need to purchase 5 packages of hot dog rolls.
Now, let's calculate the cost. Each package of hot dogs costs $2.50, so 6 packages will cost 6 * $2.50 = $15.00. Each package of hot dog rolls costs $2.00, so 5 packages will cost 5 * $2.00 = $10.00.
Therefore, the minimum amount that can be spent on hot dogs and hot dog rolls is $15.00 + $10.00 = $25.00. However, since each package contains more than the required number of items (we only need 6 hot dogs and 5 hot dog rolls), we can save some money by purchasing only one package of hot dogs and one package of hot dog rolls. This will amount to $2.50 + $2.00 = $4.50, which is the minimum cost required to ensure each person has at least one hot dog in a roll.
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Can someone help me please
Answers
Answer:
A,D
Step-by-step explanation:
irrational is a number that never repeats and just goes on and on and these 2 numbers are the only ones
hopes this helps please mark brainliest
why couldn't Pythagoras use the pythagorean theorem as we know it?
Answers
Pythagoras was an ancient Greek mathematician who founded the Pythagorean school of thought. The Pythagorean theorem is a fundamental concept in mathematics that is attributed to Pythagoras and his followers.
It states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. While this theorem is considered a cornerstone of mathematics today, it is important to understand that Pythagoras did not have access to the advanced mathematical tools and methods that we have today.
He had to rely on geometric constructions and reasoning to prove his theorem. Furthermore, Pythagoras believed that all numbers could be expressed as ratios of whole numbers, which is not always true in reality. Despite these limitations, the Pythagorean theorem has stood the test of time and continues to be a crucial tool in mathematics and other fields.
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BC←→ is tangent to circle D at point C. The measure of ∠BDC is 35º. What is the measure of ∠DBC? 35º 55º 90º 180º circle d with radius d c. a line is tangent to the circle touching it at point c. points a, b, c lay on the line in that order. segments are drawn from each point to the center.
Answers
Answer: The measure of angle DBC is 125 degrees.
Step-by-step explanation:
Since BC is tangent to circle D at point C, we know that angle BDC is a right angle (90 degrees). Therefore, angle BCD is the complement of angle BDC and has measure 90 - 35 = 55 degrees.
Since segment BD connects the center of the circle to point B, it is a radius of the circle. Similarly, segment CD connects the center of the circle to point C and is also a radius of the circle. Therefore, angles CBD and ACD are both right angles (90 degrees).
Angle DBC is opposite to angle BCD, so it has the same measure of 55 degrees. Angle ACD is opposite to angle DBC, so it also has measure 55 degrees.
Finally, angle DBC and angle ABC form a linear pair and add up to 180 degrees. Therefore, angle DBC has measure 180 - 55 = 125 degrees.
Therefore, the measure of angle DBC is 125 degrees.
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The sum of the squares of two nonnegative numbers is 327. The product of the two numbers is 101. What is the sum of the two numbers?
Answers
The sum of the two number is 23.
Let's call the two numbers x and y. We know that:
x^2 + y^2 = 327
xy = 101
We want to find x + y.
We can start by squaring the equation x + y:
(x + y)^2 = x^2 + 2xy + y^2
Substituting in the values we know:
(x + y)^2 = x^2 + y^2 + 2xy
(x + y)^2 = 327 + 2(101)
(x + y)^2 = 529
Taking the square root of both sides:
x + y = ±23
Since both x and y are non-negative, we know that x + y must be positive. Therefore:
x + y = 23
So the sum of the two numbers is 23.
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2. 5 x 10^22. 5 × 10 2 and 3. 7 x 10^53. 7 × 10 5
Answers
The first number, 5 x \(10^22,\) can be written as 5 followed by 22 zeros:
5,000,000,000,000,000,000,000
To simplify means to make something easier to understand or do by reducing complexity, removing unnecessary details, or using simpler language or concepts.
The second number , 5 × 10², can be written as 5 followed by 2 zeros: 500
The third number, 3.7 x 10⁵³, can be written as 3.7 followed by 53 zeros:
370,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
or in scientific notation as 3.7 x 10⁵³
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Simplify
2. 5 x 10^22. 5 × 10 2 and 3. 7 x 10^53. 7 × 10 5
Hi! how are you? Please answer the question pls! ill make sure to give brainliest too! :D
Answers
Answer:
16 cm squared
Step-by-step explanation:
8cm x 2cm would equal 16 cm squared
my day was okay. Had school, played some games, did hw, normal stuff. :D
Anywho im going to do my tutor hw and maybe help some other people. Bye!
Answer:
14 cm^2
Step-by-step explanation:
First of all we have to find the total area
total area = lenght x width = 8 x 2 = 16 cm^2
the shaded area is a right triangle
the area of a right triangle is
A = (leg 1 x leg2)/2 = (2 x 2)/2 = 2 cm^2
now we have to subtract it from the total area
16-2 = 14 cm^2
(1) Evaluate the following;
(a) 25% of 80
(b) 80% of 125
(c) 60% of 120
(d) 45% of 15
(e) 50% of 60
(2) A shopkeeper keeps a record of the number of the items he sells in one day. Of the 150 items he sold, 46% were newspapers, 24% were pens, 12% were books, whilst the remaining 18% were other items. Calculate the number of each item he sold.
Answers
Answer:
a c d
Step-by-step explanation: took the test
To find the precent of something you multiply it by 1/100th of what precentage youre trying to find. That's a really weird way of explaining it... It's easier to show with examples.
Some numbers you probably know off the top of your head (whats 100% of 5 or 50% of 20?) But you can also move the decimal place over twice. 100 becomes 1.00 and 1x5 is 5. Same with 50%, it turns into 0.50 or 0.5. and 0.5x20 is 10...
0.25 x 80 is 20 so 25% of 80 is 20
0.8 x 125 is 100 so 80% of 125 is 100
0.6 x 120 is 72 so 60% of 120 is 72
0.45 x 15 is 6.75 so 45% of 15 is 6.75
0.5 times 60 is 30 so 50% of 60 is 30
and for the shopkeeper
0.46 x 150 is 69 so he sold 69 newspapers (nice)
0.24 x 150 is 36 so he sold 36 pens
0.12 x 150 is 18 so he sold 18 books
and 0.18 x 150 is 27 so he sold 27 "other items"
we can check this by adding together the items sold
69+36+18+27=150
(this only works if they gave us 100% of the items sold)
what is the probability of having a 5-card hand that is a flush or royal flush (all 5 cards are the same suit but different values)?
Answers
The probability of having a 5-card hand that is a flush or royal flush is 0.00196
What is Probability?Probability: Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
Flush, straight flush, and royal flush probabilities are calculated as follows: 5148/2598960≅0.00198
A flush's likelihood (while eliminating straight and royal flushes) is 5108/2598960, ≅0.00196.
Finding the fraction with the number of ways to have a flush as the numerator and the number of possible five-card hands as the denominator will allow us to determine the likelihood.
Combinations will be used to find each of these numbers (we don't care about the draw order; only about what shows up in our hand). Combinations' general formula is Cn,k=n!/(k)!(n-k)! with k=picks and n=population
Let's first determine the denominator by selecting 5 cards at random from a deck of 52 cards: C52,5=52!/(5)!(525)!
=52!/(5!)(47!)
Let's assess it!
52×51×50^10×49×48^2×47!/5×4×3×2×47!=52×51×10×49×2=2,598,960
Let's now determine the numerator.
In order to examine each hand with five cards of the same suit, we will compute all hands that feature a flush (including straight flushes, royal flushes, and flushes) (with a suit having 13 cards in total). We can say that we understand this by:
C13,5
Remember that there are 4 suites in which this might occur, but we only want 1, so multiply by C4,1. Putting it all together, we obtain:
C4,1×C13,5=4!/(1!)(4−1)!×13!/(5!)(13−5)!=4!13!/3!5!8!
Let's assess this.
4!×13×12×11×10×9^3×8!/3×2×5×4!×8!=13×12×11×3=5148
(Remember that we just calculated all hands, including straight flushes and royal flushes, that have a flush component to them!
The probability of getting a hand with a flush is:
5148/2598960≅.00198
We may exclude straight and royal flush possibilities from the 5148 flush hands by excluding those hands (which are hands with 5 consecutive value cards in the same suit, such as 3, 4, 5, 6, and 7 of hearts). Since there are four suits and 10 potential ways to get a straight (A-5, 2-6, 3-7,..., 10-A), we can subtract 4 from 5148 to get 5108 hands, which gives us the result 5108/2598960=0.00196.
The probability of having a 5-card hand that is a flush or royal flush is 0.00196
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a sample of 50 drills had a mean lifetime of 12.68 holes drilled when drilling a low-carbon steel. assume the population standard deviation is 6.83. what sample size (i.e., how many) would you need to have so that a 95% confidence interval will have a margin of error of 1.0?
Answers
Using the z-distribution, it is found that the 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).
We are given the standard deviation for the population, hence, the z-distribution is used. The parameters for the interval is:
Sample mean of \(x = 12.7\)
Population standard deviation of \(\sigma = 6.37\)
Sample size of .n = 50
The margin of error is:
\(M = z \frac{\sigma }{\sqrt{n} }\)
In which z is the critical value.
We have to find the critical value, which is z with a p-value of \(\frac{1+\alpha }{2}\) , in which \(\alpha\) is the confidence level.
In this problem, , thus, z with a p-value of , which means that it is z = 1.96.
Then:
\(M= 1.96\frac{6.37}{\sqrt{50} } = 1.77\)
The confidence interval is the sample mean plus/minutes the margin of error, hence:
x- M = 12.17 - 1.77 =10.4
x+M = 12.17 + 1.77 = 13.94
The 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).
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What are the four steps for multiply rational expressions as seen in the lesson
Answers
when firing a handgun, how far should you hold it from your body? nine inches one foot eighteen inches at arm's length
Answers
When firing a handgun , you should hold the handgun (d) at arm's length , from the body .
When firing a handgun, it is recommended to hold it at arm's length, from your body. This allows for proper control and aim of the firearm, as well as providing a buffer between you and the potential dangers of the discharge.
Holding the handgun too close to your body can also interfere with accuracy and control, as your arms may obstruct the movement of the gun. It's important to follow manufacturer guidelines and seek proper training and follow all safety procedures when handling handgun to ensure responsible and safe use.
The given question is incomplete , the complete question is
When firing a handgun, how far should you hold it from your body?
(a) 9 inches
(b) one foot
(c) eighteen inches
(d) at arm's length
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Below is a net for a rectangular pyramid.
A rectangle is in the middle of the shape. Each side of a rectangle has a triangle sharing its base. The parallel triangles are congruent. The rectangle’s length is 15 in and the width is 4 in. The triangles on the sides have a base of 15 inches and a height of 10 inches. The triangles on the top and bottom have a base of 4 inches and a height of 10 inches.
What is the lateral surface area of the pyramid?
Answers
Answer:
B
Step-by-step explanation:
Answer:
A. It's 1/2
Step-by-step explanation:
At Ashley Furniture Store, there is a marble table that you want to
purchase for your mother. The length of the table is (-8x+2) and the width
of your rug is (3x-4). What is the total area of the table? Solve the
problem using the best method. Write the answer as a trinomial.
Answers
Step-by-step explanation:
in my opinion
total area = the width × the length
= (3x-4)(-8x+2)
= -24x²+6x+32x -8
= -24x² + 38x -8
According to a study, it takes an average of 330 minutes for taxpayers to prepare, copy, and electronically file an income tax return. The distribution of times follows the normal distribution and the standard deviation is 80 minutes. A random sample of 40 taxpayers is picked. Use Appendix B1 for the z-values.
a. What is the standard error of the mean in this example? (Round the final answer to 3 decimal places.) Error of the mean
b. What is the likelihood the sample mean is greater than 320 minutes? (Round the final answer to 4 decimal places.) Sample mean c. What is the likelihood the sample mean is between 320 and 350 minutes? (Round the final answer to 4 decimal places.) Sample mean d. What is the likelihood the sample mean is greater than 350 minutes? (Round the final answer to 4 decimal places.) Sample mean e. Is any assumption or assumptions do you need to make about the shape of the population? (Click to select)
Answers
a. The standard error of the mean can be calculated using the formula:
Standard Error of the Mean = standard deviation / square root of sample size.
In this example, the standard deviation is given as 80 minutes and the sample size is 40. Plugging these values into the formula:
Standard Error of the Mean = 80 / √40 ≈ 12.727
Therefore, the standard error of the mean in this example is approximately 12.727 minutes.
b. To find the likelihood that the sample mean is greater than 320 minutes, we need to calculate the z-score for this value and then find the corresponding probability from the z-table.
The formula for z-score is:
z = (x - μ) / (σ / √n)
In this case, x is the sample mean of 320 minutes, μ is the population mean (330 minutes), σ is the standard deviation (80 minutes), and n is the sample size (40).
Plugging in these values:
z = (320 - 330) / (80 / √40) ≈ -0.447
Now, referring to Appendix B1 for the z-values, we can find the corresponding probability. The z-value of -0.447 corresponds to a probability of approximately 0.3264.
Therefore, the likelihood that the sample mean is greater than 320 minutes is approximately 0.3264.
c. To find the likelihood that the sample mean is between 320 and 350 minutes, we need to calculate the z-scores for these values and then find the corresponding probabilities from the z-table.
Using the same formula as in part b, we can calculate the z-scores:
For 320 minutes:
z = (320 - 330) / (80 / √40) ≈ -0.447
For 350 minutes:
z = (350 - 330) / (80 / √40) ≈ 1.118
Referring to Appendix B1, the z-value of -0.447 corresponds to a probability of approximately 0.3264, and the z-value of 1.118 corresponds to a probability of approximately 0.8686.
To find the likelihood between these two values, we subtract the probability corresponding to the lower z-value from the probability corresponding to the higher z-value:
0.8686 - 0.3264 ≈ 0.5422
Therefore, the likelihood that the sample mean is between 320 and 350 minutes is approximately 0.5422.
d. To find the likelihood that the sample mean is greater than 350 minutes, we can use the z-score formula:
z = (x - μ) / (σ / √n)
Plugging in the values:
z = (350 - 330) / (80 / √40) ≈ 1.118
Referring to Appendix B1, the z-value of 1.118 corresponds to a probability of approximately 0.8686.
Therefore, the likelihood that the sample mean is greater than 350 minutes is approximately 0.8686.
e. In this example, we assume that the distribution of times for taxpayers to prepare, copy, and electronically file an income tax return follows a normal distribution. This assumption is based on the given statement that the distribution of times follows the normal distribution.
By assuming a normal distribution, we can use z-scores and the z-table to calculate probabilities and make inferences about the sample mean. However, it is important to note that this assumption may not hold true in all cases, and other statistical methods may need to be used if the data does not follow a normal distribution.
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which cannot be probabilities:
square root of 2, 0, -53, .08, 5/3, 3/5, 1.31
Answers
The numbers that cannot be probabilities are: square root of 2, -53, 5/3, and 1.31.
Probability is a measure of the likelihood of a particular event occurring in a random experiment. It is a value between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain to occur.
In statistics, probability is used to make predictions or draw inferences about a population based on a sample of data. For example, if we were to flip a coin, the probability of getting heads is 0.5, or 50%. In general probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes, which is the mathematical framework behind the random experiments.
From the set of numbers, 0, 0.08, and 3/5 are all possible values of probability.
Therefore, square root of 2, -53, 5/3, and 1.31 cannot be probabilities.
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What is the equivalent resistance? (in
Ω)(10 Points)
will give brainliest
Answers
Answer:
the answer Is 100........
What is the equation of the given line in standard form? use integer coefficients. y=-1.7x 8.5
Answers
The given equation, y = -1.7x + 8.5, is not in standard form with integer coefficients. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers and A is positive.
To convert the given equation to standard form, we need to eliminate the decimal coefficient. We can do this by multiplying both sides of the equation by 10 to clear the decimal: 10y = -17x + 85 Next, we want the coefficient of x to be positive, so we can multiply both sides of the equation by -1: -10y = 17x - 85
Now, we can rearrange the terms to match the standard form: 17x - 10y = 85 So, the equation of the given line in standard form with integer coefficients is 17x - 10y = 85. To convert the given equation to standard form, we need to eliminate the decimal coefficient.
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Use Tools Find an object that you think has a mass greater
than 1 kilogram. Use a pan balance with kilogram and gram
weights to measure the mass of the object. Explain how you
measured the mass.
Answers
If the combined weight is 1.5 kilograms and the weight of the gram weights is 0.5 kilograms, then the mass of the object is 1 kilogram.
What is mass?Mass is describes the amount of matter it contains. It is usually measured in kilograms or pounds. Mass is distinct from weight, which measures the force of gravity on an object.
To measure the mass of an object that I think has a mass greater than 1 kilogram, I will use a pan balance and kilogram and gram weights.
First, I will set the pan balance to 0 by adjusting the counterweight.
Then, I will place the object on one of the pans and add weights to the other pan until the balance is equal.
I will first use 1 kilogram weights and then add smaller gram weights until the pan balance is equal.
Once the pan balance is equal, the combined weight of the object and the weights will be the mass of the object.
I can then calculate the mass in kilograms by subtracting the weight of the gram weights from the total mass.
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The volume of a rectangular prism with length l, width w, and height h is lwh. Brody just got a new case shaped like a rectangular prism to display his insect collection! The display case is 15 inches long, 9 inches wide, and 2 inches high.
What is the volume of the display case?
Answers
The volume of Brody's display case is 270 cubic inches.
Brody's display case is shaped like a rectangular prism with a length of 15 inches, a width of 9 inches, and a height of 2 inches.
A rectangular prism is a three-dimensional shape that has six faces that are all rectangles. It is also sometimes called a rectangular cuboid.
The volume of a rectangular prism is the amount of space inside the prism and is given by the formula:
Volume = length x width x height
where "length" refers to the longest side of the prism, "width" refers to the second longest side of the prism, and "height" refers to the shortest side of the prism.
To find the volume of a rectangular prism, you simply need to multiply the length, width, and height of the prism together. The resulting value will have cubic units, such as cubic inches, cubic centimeters, or cubic feet, depending on the units used for the length, width, and height.
To find the volume of the display case, we simply need to multiply its length, width, and height together. Using the values you provided:
Volume = length x width x height
Volume = 15 inches x 9 inches x 2 inches
Volume = 270 cubic inches
Therefore, the volume of Brody's display case is 270 cubic inches.
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To check a solution, you can ____________the solutions into the equations and verify that both equations are true.
Answers
Answer: To check a solution, you can substitute the solutions into the equations and verify that both equations are true.
Step-by-step explanation:
Paul left his house at 9:45 a.m. and returned home at 6:55 p.m. the same day. How long was Paul away from home?
Answers
Answer:
9 hours and 10 minutes
3
Find the area of the figures shown below and drop the correct result into the appropriate blank.
DRAG & DROP THE ANSWER
14 cm
55 cm
8 cm
36 m²
=
58 cm
5 cm
38 cm
58 cm
8 cm
6
39 m
7
8 m
40 m
=
4 m
38 cm
70 cm
10 m
Answers
Answer:
Step-by-step explanation:
Poste uma foto do problema plss
what is x + 5x -6 < 12?
Answers
Answer:
x<3
Step-by-step explanation:
;)
4 - 4y + y - 3 What are the like terms, terms, coefficients, and constants in this expression?
Answers
Answer:
terms: 4, 4y, y, -3
like terms: 4y, y
coefficients: 4, 1
constants: 4, 3
The terms are 4, 4y, y, -3 and like terms are ( 4y, y), coefficients are (4, 1) and the constants are ( 4, 3).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is 4 - 4y + y - 3. The required answers are given as,
Terms 4, 4y, y, -3
Like terms: 4y, y
Coefficients: 4, 1
Constants: 4, 3
Therefore, the terms are 4, 4y, y, -3 and like terms are ( 4y, y), coefficients are (4, 1) and the constants are ( 4, 3).
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4х + Зу = -24
What are the x and y points for this equation
Answers
Y-intercept: (0,-8)
Jeffrey drew the square field shown below, and then increased the length by 5 and decreased the width by 5. Help him write an expression to represent the area of the new field (the sides of the square are 20m feet).
A.400m^(2)-200m+25
B.40m_(m)^(2)+25
C.40m^(2)-25
D.400m^(2)+200m+25
Answers
The expression that represents the area of the new field is 400m²-200m+25 (option a)
To begin, let's start by finding the area of the original square field. The formula for the area of a square is the length of one side squared. In this case, the length of one side is 20 meters, so the area is:
Area = (20m)² = 400m²
Now, we need to find the area of the new field, which has one side that is 5 meters longer and one side that is 5 meters shorter than the original square. We can express the new length as (20m + 5m) = 25m, and the new width as (20m - 5m) = 15m.
The area of the new field can be expressed as the product of the new length and the new width:
New area = (25m)(15m)
To simplify this expression, we can use the distributive property of multiplication:
New area = 25m * 15m = (20m + 5m)(20m - 5m)
Expanding the expression using the FOIL method, we get:
New area = (20m)² - (5m)² = 400m² - 25m²
Simplifying this expression further, we get:
New area = 400m² - 25m² = 40m² (10 - m²/16)
Since we don't have any answer options that match this expression exactly, we need to simplify it further. Using the difference of squares, we can write:
New area = 40m² (5 + m/4)(5 - m/4)
Multiplying out the terms inside the parentheses, we get:
New area = 40m² (25 - m²/16)
Distributing the 40m², we get:
New area = 1000m² - 25m⁴/4
Finally, simplifying the expression, we get:
New area = 400m² - 25m + 25
To know more about expression here
https://brainly.com/question/14083225
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Brody rearranged the entertainment room at his house. Before the move, he had his game console plugged into an electrical cord that was 60 inches long. After he moved everything, he had to add an additional cord that was 2 feet long.
How many feet of electrical cord did he use altogether?
Answers
Answer:
7 feet
Step-by-step explanation:
60 inches is 5 feet add the 2 feet