Solve 7x + 4y = 8 for x
(5x^2+xy-3y^2)+(-9x^2+3xy+5y^2)
Let's simplify the expression:
\(\begin{gathered} (5x^2+xy-3y^2)+(-9x^2+3xy+5y^2)=5x^2+xy-3y^2-9x^2+3xy+5y^2 \\ =-4x^2+4xy+2y^2 \end{gathered}\)Therefore, the simplified expression is:
\(-4x^2+4xy-2y^2\)
Missy is wrapping a gift for her sister's birthday in a box with the dimensions shown.
17.5 in.
4 in.
10 in.
What is the minimum amount of wrapping paper she will need to completely cover the box?
Missy will need a minimum of 570 square inches of wrapping paper to completely cover the box.
To calculate the minimum amount of wrapping paper needed to cover the box, we need to find the surface area of the box.
A rectangular box has six sides: a top, a bottom, two sides, and two ends.
The top and bottom sides have the same dimensions, which are 17.5 inches by 10 inches. So each of these sides has an area of 17.5 in × 10 in = 175 square inches.
The two side surfaces also have the same dimensions, which are 17.5 inches by 4 inches.
Each of these sides has an area of 17.5 in × 4 in = 70 square inches.
The two end surfaces have the same dimensions, which are 10 inches by 4 inches. Each of these sides has an area of 10 in × 4 in = 40 square inches.
To find the total surface area of the box, we add up the areas of all six sides:
175 in² (top) + 175 in² (bottom) + 70 in² (side 1) + 70 in² (side 2) + 40 in² (end 1) + 40 in² (end 2)
Total surface area = 570 in².
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please help the Marshmello
So the value of X is 2.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
\(x = 2\)
First answer is correct
Step-by-step explanation:
\(9 = 1 + 8x - 8 \\ 9 - 1 + 8 = 8x \\ 16 = 8x \\ \frac{16}{8} = \frac{8x}{8} \\ x = 2\)
hope this helps
brainliest appreciated
good luck! have a nice day!
pls help asap i will give brainliest 16 POINTS!!!!
i need help pleasse
Bookwork code: N84
Look at the poster below showing the price of pencils in a stationery shop.
Annabel wants to buy exactly 76 pencils. What is the lowest amount she can
pay?
Give your answer in pounds (£).
spar
..
Pencils for sale!
30p each
Pack of 10
pencils for £2
Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20
How is the lowest amount determined?The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.
Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.
If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).
If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].
Pencils for sale
30p each
Pack of 10 pencils for £2
Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.
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Which of the numbers below are common
multiples of 2 and 5? Select all that apply.
A) 15
B) 20
C) 30
D) 35
E) 50
Answer:
20, 30, 50, they all go into 2 and they also go into 6, two doesn't divide equally into 5.
help me out with this question please...this is a practice question
Answer:
hope this helped, can i have brainliest please? :))
Step-by-step explanation:
mean - 6.5 mean=average, to find the average, you add up all of the number then divide by the quantity of numbers there are.
median - 6 and 7 so 6.5 median= number in the middle
You pick a marble, roll a die, and pick a card. How many outcomes are possible?
The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
How to determine How many outcomes are possibleTo determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.
1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.
2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.
3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.
To find the total number of possible outcomes, we multiply the number of outcomes for each event together:
Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)
Total number of outcomes = n × 6 × 52
Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
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Given ΔMNO, find the measure of ∠MNO.
Triangle MNO with segment LM forming a straight angle with segment MO and segment OP forming a straight angle with segment MO, the measure of angle NOP is 104 degrees, and segment MN and NO are marked congruent.
28 degrees
38 degrees
52 degrees
76 degrees
I know the answer is 28 degrees , I just am not sure how to work out this problem .
Answer:10907
Step-by-step explanation 10907
Answer:
The answer is 28
Step-by-step explanation:
Hope this helps,
have a great day
Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 14,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 16,141 hours. Round your answer to four decimal places.
Answer:
6
Step-by-step explanation:
iuiiiiuiuiuuuiuuuuuuuiuuuuii
Sally made a profit of $2500 after selling stocks for $19000 after 2.5 years. What was her average annual percentage gain?
13.25%
6.06%
3.78%
Sally's average annual percentage gain is approximately 5.26%.
To calculate Sally's average annual percentage gain, we can use the formula:
Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100
Profit = $2500
Initial Investment = $19000
Time = 2.5 years
Substituting the values into the formula:
Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100
= (0.1316) * (0.4) * 100
= 5.26
Therefore, Sally's average annual percentage gain is approximately 5.26%.
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Find the area of the blue-shaded region. Please help I need it asap. The answer is 20.0m squared I cannot figure out the work for it
The area of the blue-shaded region is 19.95 m²
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,
Using the Pythagoras theorem,
15.5² = 14²+w² [width]
w² = 240.25-196
w² = 44.25
w = 6.65
Therefore, the width of the rectangle is 6.65 m
That mean, the height of the parallelogram is 6.65 m,
The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,
Area of the remaining region = 14×6.65-11×6.65
= 6.65(14-11) = 6.65×3
= 19.95 m²
Hence, the area of the blue-shaded region is 19.95 m²
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(-3-√80)/6
please simplify
For the following event, state whether you think the difference between what occurred and what you would expect by chance is statistically significant. Explain.
An airline with a 95% on-time departure rate has 16 out of 300 flights with late departures.
The difference between the observed and expected number of late departures is statistically significant, we need to perform a binomial test by calculating the probability of observing 16 or more late departures out of 300 flights assuming the null hypothesis is true. If the resulting p-value is less than 0.05, we can conclude that the difference is statistically significant.
Based on the given information, an airline with a 95% on-time departure rate has 16 out of 300 flights with late departures. The question asks whether the difference between what occurred (16 late departures) and what you would expect by chance is statistically significant.
To determine if the difference is statistically significant, we need to conduct a hypothesis test. In this case, we can use a binomial test since we are dealing with two possible outcomes: on-time departure or late departure.
The null hypothesis (H0) assumes that the observed number of late departures is equal to what would be expected by chance. The alternative hypothesis (Ha) assumes that there is a significant difference between the observed and expected values.
In this case, the expected number of late departures can be calculated by multiplying the total number of flights (300) by the expected on-time departure rate (95%). This gives us an expected value of 300 * 0.05 = 15.
To perform the binomial test, we can calculate the probability of observing 16 or more late departures out of 300 flights, assuming the null hypothesis is true. This probability can be calculated using the binomial probability formula or by using statistical software.
If the resulting probability (also known as the p-value) is less than the significance level (usually 0.05), we can reject the null hypothesis and conclude that the difference between what occurred and what would be expected by chance is statistically significant. Otherwise, if the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the difference is not statistically significant.
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Evaluate the expression for the given value of the variable.
3x + 4 when x = 2
5y - 3.6 when y = 4
7z4+ 1.05 when z = 1.2
20 - b3.2when b = 5.2
Answer:
I NOT 100% SURE BUT I THINK ITS .B)
Step-by-step explanation:
5.NF.2. Word Problems
Keith picked 2 {5}/{6} buckets of apples and Sandy picked 4{1}/{3} buckets. How many money buckets of apples did sandy pick?
Jayson has 2{1}/{2} months' worth of pay saved in his account. He has 1{1}/{4} months' worth of pay saved in cash. Altogether, how much money has Jayson saved?
(a) Sandy picked \(1\frac{1}{2}\) more buckets than Keith .
(b) Jason have saved money for total of \(3\frac{3}{4}\) months .
In the question ,,
Part(a) ,
it is given that
number of buckets of apples Keith picked is = \(2\frac{5}{6}\) buckets ,
number of buckets of apples Sandy picked is = \(4\frac{1}{3}\) buckets
number of more buckets picked by Sandy is = (buckets picked by Sandy) - (buckets picked by Keith) .
= \(4\frac{1}{3}\) - \(2\frac{5}{6}\)
= 13/3 - 17/6 = 3/2 = \(1\frac{1}{2}\) buckets .
Part(b)
number of months that Jason saved money in account = \(2\frac{1}{2}\) months
number of months that Jason saved money in cash = \(1\frac{1}{4}\) months
total number of months for which money is saved is = \(2\frac{1}{2}\) + \(1\frac{1}{4}\)
Simplifying further ,
we get,
= 5/2 + 5/4
= 15/4
= \(3\frac{3}{4}\) months .
Therefore , (a) Sandy picked \(1\frac{1}{2}\) more buckets and (b) Jason saved money for \(3\frac{3}{4}\) months .
The given question is incomplete , the complete question is
(a) Keith picked \(2\frac{5}{6}\) buckets of apples and Sandy picked \(4\frac{1}{3}\) buckets. How many more buckets of apples did sandy pick ?
(b) Jayson has \(2\frac{1}{2}\) months worth of pay saved in his account. He has \(1\frac{1}{4}\) months worth of pay saved in cash. Altogether, how many months of money has Jayson saved ?
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(3, 4, 5, ...} is finite or infinite
The given set is (3, 4, 5, ...} is infinite set.
A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.
The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.
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5t+7+8b
I need also help on -2(x+3)=_-6
The solution to the equation -2(x + 3) = -6 is x = 0.
To simplify the expression 5t + 7 + 8b, we can combine like terms.
There are two like terms in the expression: 5t and 8b.
Combining the like terms gives us:
5t + 8b + 7
Therefore, the simplified form of the expression 5t + 7 + 8b is 5t + 8b + 7.
Regarding the equation -2(x + 3) = -6:
To solve this equation, we can follow these steps:
Distribute the -2 to the terms inside the parentheses:
-2 * x + (-2) * 3 = -6
This simplifies to:
-2x - 6 = -6
Move the constant term to the right side by adding 6 to both sides of the equation:
-2x = 0
Divide both sides of the equation by -2 to isolate the variable x:
x = 0 / -2
Simplifying the right side of the equation gives us:
x = 0
The solution to the equation -2(x + 3) = -6 is x = 0.
The simplified expression 5t + 7 + 8b remains as 5t + 8b + 7, and the solution to the equation -2(x + 3) = -6 is x = 0.
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Move the numbers to the blanks to order them from least to greatest value.
0.4
9/8
I-21
1/2
-0.89
Answer: -0.89 1-21 0.4 1/2 9/8
Step-by-step explanation:
Answer:
1-21, -0.89, 1/2, 0.4, 9/8
Step-by-step explanation:
The depth of a local lake averages 38 ft, which is represented as |−38|. In February, it measured 6 ft deep, or |−6|, and in July, it was 25 ft deep, or |−25|. What is the difference between the depths in February and July?
A32 feet
B 31 feet
C 19 feet
D 13 feet
The difference between the depths in February and July is 31 feet.
How to measure depth?The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:
Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.
Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.
Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.
Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.
Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.
Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.
The difference between the depths in February and July is:
|−6| − |−25| = 6 − (−25) = 6 + 25 = 31
Therefore, the correct choice is B) 31 feet.
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Answer ASAP and whoever gets it right can have brainliest
beinggreat78, you're looking for this
Answer:
30 ants are in the ant farm.
---------------------------------------
If there are 40 ants on the second part of the scale,
multiply 5 by 8 to get 40 because there are 5 ants for each row, and 8 rows total
and there are 10 ants visible on the first side of the scale, the second part of the scale would have the majority and there would be a big inbalance. To fix that, we could say there are 30 ants in the ant farm, because there are 10 ants on the scale. \(10 + 30 = 40\), so that would make the scale balanced.
What are the outputs of the function below?
-6, -3, 1, 5
-6, -3, 4, 6
-8, 2, 4, 6
-8, 2, 1, 5
Answer:
\(5 { \times 54}^{2} \)
Let u = ⟨–2, –3⟩ and v = ⟨3, –1⟩. Which graph shows u – v?
A) The first graph
It is indeed correct on Edge
The graph shows (u - v) for the given vectors u and v will be the one with vectors at (-5, -2).
What is vector ?A vector is an object that has both a magnitude and a direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.
We have,
u = (-2, -3) and v = (3, -1)
So,
To subtract two vectors, subtract the corresponding components.
i.e. The difference of u and v vector = ( u₁ - v₁, u₂ - v₂)
i.e.
u = (-2, -3) and v = (3, -1)
i.e.
u₁ = -2,
u₂ = -3,
v₁ = 3,
v₂ = -1
Now,
(u - v) = ( u₁ - v₁, u₂ - v₂)
i.e.
(u - v) = [( -2 - 3 ), ( -3 - (-1) )]
On solving,
We get,
(u - v) = (-5, -2)
Hence, we can say that the graph shows (u - v) for the given vectors u and v will be the one with vectors at (-5, -2).
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Compare the triangles and determine whether they can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL. If the triangles cannot be proven congruent choose "cannot be determined."
Answer:
I can't see the picture.
Step-by-step explanation:
If the dimensions of the gym were 24 ft. by 45 ft., how much distance did he save on one lap?
Answer:
18
Step-by-step explanation:
One trip around the gym would be 138 ft.
If we cut the diagonal, we use the Pythagorean theorem to find the distance of the hypotenuse, which is 51 ft.
One trip with the shortcut is 119 ft. (24 + 45 + 51 = 119).
Subtract 119 ft. from 138 feet and you have 18 ft. shorter route than walking the entire perimeter.
What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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On average, Nathaniel drinks
4/5 of a 10-ounce glass of water in
2 2/5
hours. How many glasses of water does he drink in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Nathaniel drinks 3 glasses of water in one hour.
To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.
In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.
Let's convert the mixed number of hours to an improper fraction:
\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)
\(=\frac{12}{5}\)
Now, we can set up a proportion to find his drinking rate per hour.
We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.
Let's assign "x" as the number of glasses he drinks in one hour.
The proportion is then
\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)
Cross-multiplying gives us
\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)
Simplifying, we get
\(\frac{12}{5} =\frac{4}{5}\times x\)
Dividing both sides by \(\frac{4}{5}\), we find x:
\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)
\(x=\frac{12}{4}\)
\(x = 3.\)
Therefore, Nathaniel drinks 3 glasses of water in one hour.
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Hurry PLZ!! What is the equation for the line in slope-intercept form? Enter your answer in the box.
Step-by-step explanation:
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b. or we get the point of the line directly on the y-axis.
we see several marked points.
e.g.
(-4, 4) (0, -4)
x changes by +4 (from -4 to 0)
y changes by -8 (from 4 to -4)
the slope (a) is -8/+4 = -2
the y-intercept is given by the point (0, -4), because this is where x=0.
so, it is -4
and the line equation is
y = -2x - 4