Answer:
Step-by-step explanation:
Let's use the following variables to represent the unknowns in the problem:
x = the number of dogs Mr. Miller has
y = the total number of dogs Reston walked over the weekend
From the problem, we can set up the following system of equations:
x dogs on Saturday + 4 dogs on Sunday = y total dogs walked
3 dollars per dog * y total dogs walked = 18 dollars earned
Simplifying the second equation, we get:
3y = 18
y = 6
So Reston walked a total of 6 dogs over the weekend. Substituting this into the first equation, we get:
x + 4 = 6
x = 2
Therefore, Mr. Miller has 2 dogs.
The group in the problem is the sum of the number of dogs Reston walked on Saturday and Sunday. Reston's weekend earnings is equal to this sum times $3.
Working backwards first, we found the total number of dogs walked (6), which is the sum of the number of dogs walked on Saturday and Sunday. Then, we found the number of dogs Mr. Miller has (2) by using the fact that he is the owner of the dogs Reston walked on Saturday.
PLEASE HELP
Can someone please help me get the answers to these I’ll give brainlest
Answer:
we can't see the pic clearly so maybe try to fix it
(2.3 x10⁴)(1.5 x 10³)
Answer:
I don't know if u want it in standard form or scientific, so i put both
3.47*10^7
Step-by-step explanation:
Hey! I'm doing this in school too :p
give me brainliest please!!
Josephine earns a salary of $560.00 per week, plus a commission of 10% on all sales. Last week, she sold $843 worth of goods. How much was she paid?
The amount that Josephine will be paid is $644.30.
How much was Josephine paid?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred.
In this situation, Josephine earns a salary of $560.00 per week, plus a commission of 10% on all sales and she sold $843 worth of goods.
The amount she'll be paid will be:
= $560 + (10% × $843)
= $560 + $84.3
= $644.30
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If a child weighs 83 pounds, how many ounces does she weigh? 664 oz. 664 oz. 830 oz. 830 oz. 966 oz. 966 oz. 1328 oz.
Answer:
The answer is 1,328
Step-by-step explanation:
The number of ounces that she weighs will be 1328 ounces. Then the correct option is D.
What is conversion?Conversion means converting the same thing into different units.
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
If a child weighs 83 pounds. We know that in one pound, there are 16 ounces.
Then the number of ounces that she weighs will be
⇒ 83 x 16
⇒ 1328 ounces
Then the number of ounces that she weighs will be 1328 ounces. Then the correct option is D.
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Consider the following. {(-1, 2), (8,4)} (a) Show that the set of vectors in R^n is orthogonal. (-1,2). (8,4)
We can infer that the set of vectors represented by (-1, 2), (8, 4) is orthogonal in Rⁿ since their dot product is equal to zero.
We must determine whether the dot product of any two vectors in the set is equal to zero in order to demonstrate the orthogonality of the set of vectors in Rⁿ.
Let's determine the dot product of the vectors provided:
(-1, 2) ⋅ (8, 4) = (-1)(8) + (2)(4)
(-1, 2) ⋅ (8, 4) = -8 + 8
(-1, 2) ⋅ (8, 4) = 0
We can infer that the set of vectors (-1, 2), (8, 4) is orthogonal in Rⁿ because the dot product of (-1, 2) and (8, 4) equals zero.
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Systolic blood pressure for a group of women is normally distributed, with a mean of 121 and a standard deviation of 9. Find the probability that a woman selected at random has the following blood pressures. (Round your answers to four decimal places.) (a) greater than 136 (b) less than 114 (c) between 114 and 128
the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.
What is a Z-table?A z-table also known as the standard normal distribution table, helps us to know the percentage of values that are below (or to the left of the Distribution) a z-score in the standard normal distribution.
Given the mean is 121 while the standard deviation of the women is 9. Therefore, Using the z-table, the probability can be found.
(a) The probability that a woman selected at random has blood pressures greater than 136.
\(P(x > 136) = 1 - P(x < 136)\\\\P(x > 136) = 1 - P(z < \dfrac{x-\mu}{\sigma})\)
\(=1 - P(z < \dfrac{136-121}{9})\\\\=1 - P(z < 1.667)\\\\=1-0.9515\\\\=0.0485\)
(b) The probability that a woman selected at random has a blood pressure less than 114.
\(P(x < 114)= P(z < \dfrac{114-121}{9})\\\\\)
\(= P(z < -0.77)\\\\= 0.2206\)
(c) The probability that a woman selected at random has a blood pressure between 114 and 128.
\(P(114 < x < 128)= P(\dfrac{114-121}{9} < z < \dfrac{128-121}{9})\\\\\)
\(= P(-0.77 < z < 0.77)\\\\= P(z < 0.77)-P(z < -0.77)\\\\= 0.7794 - 0.2206\\\\=0.5588\)
Hence, the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.
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3y2 + 4ab + 7y2 + ab
Answer:
10 y^2 + 5ab
Step-by-step explanation:
3y^2 + 4ab + 7y^2 + ab
Combine like terms
3y^2 + 7y^2 + 4ab +ab
10 y^2 + 5ab
At a sale , dresses were sold for 35% of their original price. If the dresses originally cost 40$ each how much did a dress cost on sale
Answer:
$14
Step-by-step explanation:
35% is the same as multiplying by .35
40 * .35 = 14
solve linear system on Matlab
Linear Systems Solve the 3 linear equations with three unknowns (x1, x2, x3): 3x₁ + 2x₂x3 = 10 -x₁ + 3x₂ +2x3 = 5 x1 - x₂ -x3 = -1
Therefore, the solution to the system of linear equations is: x₁ = -5, x₂ = 11, x₃ = -18.
To solve the system of linear equations:
3x₁ + 2x₂x₃ = 10
-x₁ + 3x₂ + 2x₃ = 5
x₁ - x₂ - x₃ = -1
We can use various methods such as substitution, elimination, or matrix methods. Here, we'll use the elimination method.
Step 1: Multiply the second equation by 3 and add it to the first equation:
3x₁ + 2x₂x₃ = 10
-(3x₁ - 9x₂ - 6x₃ = 15)
-7x₂ - 4x₃ = -5 (Equation A)
Step 2: Multiply the third equation by 3 and add it to the first equation:
3x₁ + 2x₂x₃ = 10
(3x₁ - 3x₂ - 3x₃ = -3)
-x₂ - x₃ = 7 (Equation B)
Step 3: Add Equation A and Equation B:
-7x₂ - 4x₃ = -5
+(-x₂ - x₃ = 7)
-8x₂ - 5x₃ = 2 (Equation C)
Step 4: Multiply Equation B by 8 and subtract it from Equation C:
-8x₂ - 5x₃ = 2
+8x₂ + 8x₃ = -56
3x₃ = -54
Step 5: Solve for x₃:
x₃ = -54/3
x₃ = -18
Step 6: Substitute the value of x₃ back into Equation B to solve for x₂:
-x₂ - x₃ = 7
-x₂ - (-18) = 7
-x₂ + 18 = 7
-x₂ = 7 - 18
-x₂ = -11
x₂ = 11
Step 7: Substitute the values of x₂ and x₃ into Equation A to solve for x₁:
-7x₂ - 4x₃ = -5
-7(11) - 4(-18) = -5
-77 + 72 = -5
-5 = -5
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What is p^m multiplied by p^n equal to?
Step-by-step explanation:
p^m × p^n .....since the base is the same, add the powers
p^(m + n)
p^m + n
Solve each equation.
6|2 x+5|=6 x+24
The equation 6|2x + 5| = 6x + 24 has two solutions: x = -1 and x = -3.
To solve the equation 6|2x + 5| = 6x + 24, we need to isolate the variable x. Here's a step-by-step explanation:
1. Remove the absolute value bars by considering both the positive and negative cases:
a) For 2x + 5 ≥ 0 (positive case):
Simplify the equation to get 6(2x + 5) = 6x + 24.
b) For 2x + 5 < 0 (negative case):
Multiply the entire equation by -1 to flip the inequality sign and change the direction: 6(-2x - 5) = 6x + 24.
2. Solve for x in each case:
a) Positive case:
Simplify the equation to get 12x + 30 = 6x + 24.
Combine like terms: 12x - 6x = 24 - 30.
Simplify further: 6x = -6.
Divide both sides by 6: x = -1.
b) Negative case:
Simplify the equation to get -12x - 30 = 6x + 24.
Combine like terms: -12x - 6x = 24 + 30.
Simplify further: -18x = 54.
Divide both sides by -18: x = -3.
3. Check if the obtained values satisfy the original equation:
Substitute x = -1 into the original equation: 6|2(-1) + 5| = 6(-1) + 24.
Simplify both sides: 6|-2 + 5| = -6 + 24.
Further simplify: 6|3| = 18.
Since both sides are equal, x = -1 is a valid solution.
Substitute x = -3 into the original equation: 6|2(-3) + 5| = 6(-3) + 24.
Simplify both sides: 6|-6 + 5| = -18 + 24.
Further simplify: 6|-1| = 6.
Again, both sides are equal, so x = -3 is also a valid solution.
Therefore, the equation 6|2x + 5| = 6x + 24 has two solutions: x = -1 and x = -3.
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Emily bought 63 yards of fabric to make curtains.
How many inches of fabric did Emily buy?
Emily bought _________ inches of fabric.
Answer:
2268 inches of fabric
Step-by-step explanation:
There are 36 inches in 1 yard. Therefore, we multiply 36 by 63 to get an answer of 2268.
Therefore, Emily bought 2268 inches of fabric
Answer:
2268 inches of fabric
Step-by-step explanation:
There are 3 feet in a yard
63*3 = 189 feet
To convert feet to inches, multiple by 12
189*12 = 2268
How do I answer this?
Answer:
Step-by-step explanation:
(16). \(\frac{127.5-110}{15-10}\) = 3.5 m/min.
(17). \(\frac{30-87.5}{30-25}\) = - 11.5 m/min.
813
V384
83
Can someone please help me!!!
Answer:
To find the perimeter of this triangle, we add up all the sides together.
(8 · √3) + (8 · √3) + √384
But before we add them, let's simplify them.
(8 · 1.7) + (8 · 1.7) + 19.6
13.6 + 13.6 + 19.6
27.2 + 19.6
= 46.8, is the perimeter of this triangle.
Now to find the area, we use the formula:
(formula for area of a triangle)
A = BH · 1/2
Where 'B' represents the base, 'H' stands for the height, and 1/2 means that you divide the product of the base and height by 2.
What we know:
Base = 8 · √3 which equals 13.6.Height = 8 · √3 which equals 13.6.Plug in the values into our formula:-
A = BH · 1/2
A = 13.6(13.6) · 1/2
A = 184.96 · 1/2
A = 184.96/2
A = 92.48, is the area for this triangle.
One pipe can fill a tank in four hours; another pipe can fill the same tank in three hours. How long would it take to fill the tank if both pipes filled it at the same time? [?] hours Enter the number that belongs in the green box. Enter
9514 1404 393
Answer:
\(\dfrac{12}{7}\)
Step-by-step explanation:
The first pipe fills 1/4 of the tank in 1 hour. The second pipe fills 1/3 of the tank in 1 hour. So, in 1 hour, the amount of the tank that is filled is ...
\(\dfrac{1}{4}+\dfrac{1}{3}=\dfrac{3}{12}+\dfrac{4}{12}=\dfrac{7}{12}\quad\text{of the tank in 1 hour}\)
This number is the fill rate in tanks per hour. We want the reciprocal of that, the fill time in hours per tank. The reciprocal of 7/12 is 12/7.
It will take 12/7 hours to fill the tank.
_____
Comment on the answer
It looks like you may be asked to fill two "green boxes" to provide the complete answer. The box shown as green in this question is the numerator of the fraction, so should be filled with 12. (We expect that the denominator entry will be made available as soon as you enter the numerator. Your experience with this web site will tell you if that is true.)
what is the common ratio of the geometric sequence -2, 8, -32, 128
Answer:
r = - 4
Step-by-step explanation:
The common ratio r of the geometric sequence is
r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{8}{-2}\) = - 4
help me please! thanks:)
Answer:
Question 1. 1st option
Question 2. 3rd option
Question 3. 3rd option
28. Construct a rectangle ABCD in which AB = 4 cm, BC = 3.5 cm. Construct a triangle whose area is equal to that of rectangle ABCD
Answer:
Triangle b = 4, h = 7
Step-by-step explanation:
Rectangle area = L*W
Triangle area = (B*H)/2
Rectangle/2 = Triangle
If you want triangle to = rectangle, then rectangle*2/2
Rectangle = 4*3.5 = 14
Triangle = 4*7 = 28/2 = 14
Maleeha buys 3 identical packs of pens at the Office superstore for $8.55. The next day, she sees an advertisement for the same pens Plenty O' Paper. The ad says the pens are $2.79 per pack. Which is the better deal?
a population of cattle is increasing at a rate of 400 80t per year, where t is measured in years. by how much does the population increase between the 5th and the 9th years? total increase =
Therefore, the population increases by 3516 cattle between the 5th and 9th years.
To find the population increase between the 5th and 9th years, we need to calculate the integral of the given rate function (400 + 80t) with respect to t from 5 to 9.
Step 1: Find the integral of the rate function.
∫(400 + 80t) dt = 400t + 40t^2 + C
Step 2: Calculate the population increase at t = 5 and t = 9.
For t = 5: 400(5) + 40(5^2) = 2000 + 1000 = 3000
For t = 9: 400(9) + 40(9^2) = 3600 + 2916 = 6516
Step 3: Find the difference between these two values.
Total increase = 6516 - 3000 = 3516
Therefore, the population increases by 3516 cattle between the 5th and 9th years.
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passing through the mid -point of the line segment joining (2,-6) and (-4,2) and perpendicular to the line y=-x+2
To find the equation of the line passing through the mid-point of the line segment joining (2, -6) and (-4, 2) and perpendicular to the line y = -x + 2, we need to follow the steps mentioned below.
What are the steps?Step 1: Find the mid-point of the line segment joining (2, -6) and (-4, 2).The mid-point of a line segment with endpoints (x1, y1) and (x2, y2) is given by[(x1 + x2)/2, (y1 + y2)/2].
So, the mid-point of the line segment joining (2, -6) and (-4, 2) is[((2 + (-4))/2), ((-6 + 2)/2)] = (-1, -2)
Step 2: Find the slope of the line perpendicular to y = -x + 2.
The slope of the line y = -x + 2 is -1, which is the slope of the line perpendicular to it.
Step 3: Find the equation of the line passing through the point (-1, -2) and having slope -1.
The equation of a line passing through the point (x1, y1) and having slope m is given byy - y1 = m(x - x1).
So, substituting the values of (x1, y1) and m in the above equation, we get the equation of the line passing through the point (-1, -2) and having slope -1 as:
\(y - (-2) = -1(x - (-1))⇒ y + 2\)
\(= -x - 1⇒ y\)
\(= -x - 3\)
Hence, the equation of the line passing through the mid-point of the line segment joining (2, -6) and (-4, 2) and perpendicular to the line y = -x + 2 is
y = -x - 3.
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For a population with µ = 80 and σ = 10, what is the X value corresponding to z = –2.00?
The X value corresponding to z = -2.00 is 60. The X value corresponding to z = -2.00 is 60. This means that the observation with a z-score of -2.00 is 60 units below the population mean of 80.
To find the X value corresponding to z = -2.00, we can use the formula:
z = (X - µ) / σ
Substituting the given values, we get:
-2.00 = (X - 80) / 10
Solving for X, we get:
X = (-2.00 x 10) + 80
X = 60
The z-score measures the number of standard deviations an observation is from the mean. In this case, the given z-score of -2.00 indicates that the observation is 2 standard deviations below the mean.
To find the corresponding X value, we use the formula:
z = (X - µ) / σ
Where z is the standard normal distribution value, X is the corresponding raw score, µ is the mean of the population, and σ is the standard deviation of the population.
Substituting the given values, we get:
-2.00 = (X - 80) / 10
Solving for X, we get:
X = (-2.00 x 10) + 80
X = 60
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In a long run, what does new technology do to the LRATC?
In the long run, new technology can have a significant impact on the long-run average total cost (LRATC) of a company.
The LRATC curve represents the lowest possible average cost at which a company can produce a particular level of output in the long run. New technology can reduce the costs of production by improving efficiency, reducing waste, and increasing productivity, leading to lower LRATC. This can lead to a shift in the LRATC curve downward, indicating that the company can now produce the same output at a lower cost than before. This can make the company more competitive and increase its profitability.
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☆pls help no one has helped me and I'm so confused!
Answer:
Step-by-step explanation:
a). \(\frac{5\pm\sqrt{-4}}{3}\) = \(\frac{5}{3}\pm \frac{\sqrt{-4}}{3}\)
= \(\frac{5}{3}\pm\frac{2\sqrt{(-1)} }{3}\)
= \(\frac{5}{3}\pm\frac{2i}{3}\) [Since, i = \(\sqrt{(-1)}\)]
b). \(\frac{10\pm\sqrt{-16}}{2}\) = \(\frac{10}{2}\pm \frac{\sqrt{-16}}{2}\)
= \(5\pm \frac{4\sqrt{-1}}{2}\)
= 5 ± 2i [Since, i = \(\sqrt{(-1)}\)]
c). \(\frac{-3\pm \sqrt{-144}}{6}\) = \(-\frac{3}{6}\pm \frac{\sqrt{-144}}{6}\)
= \(-\frac{3}{6}\pm \frac{12\sqrt{-1}}{6}\)
= \(-\frac{1}{2}\pm 2\sqrt{-1}\)
= \(-\frac{1}{2}\pm 2i\) [Since, i = \(\sqrt{(-1)}\)]
I need help with this 9/2 divided by 2/9
Answer:
20.25
Step-by-step explanation:
decimal form- 20.25
fraction form- 81/4 simplified-20 1/4
How to solve 6(2b-4) when the value of b is 5
Answer:
=36
Step-by-step explanation:
2b is the same as 2×5
so 2b=10
put it back into the brackets
6(10-4)
6×10=60
6×-4=-24
=60-24
=36
A sales person had $240,00 in sales last year, which is 60% of the sales she has this year. Which equation could be used to determine X, the salespersons total amount of sales in dollars for this year
Answer: 240,000= .6x and/or 400,000
Step-by-step explanation:
If 240,000 is 60% of our answer, we can write the equation as...
240,000= .6x
In order to find the answer, (I am unsure if you need it) we would divide both sides by .6.
This would leave us with 400,000.
5x + 4 = -11 What could you do to further isolate the variable?
5x+4=-11
so subtract 4 from both sides
your left with
5x=-15
Divide 5 from both sides
x=-3
4. The following regular polygon has 15 sides. This distance from its center to any given vertex is 12 inches.
Which of the following is the best approximation for its perimeter?
(1) 68 inches
(3) 84 inches
(2) 75 inches
(4) 180 inches
Answer
Consider the time taken to completion time (in months) for the construction of a particular model of homes: 4.1 3.2 2.8 2.6 3.7 3.1 9.4 2.5 3.5 3.8 Find the mean, median mode, first quartile and third quartile. Find the outlier?
To find the mean, we add up all the values and divide by the number of values:
Mean = (4.1 + 3.2 + 2.8 + 2.6 + 3.7 + 3.1 + 9.4 + 2.5 + 3.5 + 3.8) / 10
Mean = 36.7 / 10
Mean = 3.67
To find the median, we need to put the values in order:
2.5, 2.6, 2.8, 3.1, 3.2, 3.5, 3.7, 3.8, 4.1, 9.4
The middle number is the median, which is 3.35 in this case.
To find the mode, we look for the value that appears most often. In this case, there is no mode as no value appears more than once.
To find the first quartile (Q1), we need to find the value that separates the bottom 25% of the data from the top 75%. We can do this by finding the median of the lower half of the data:
2.5, 2.6, 2.8, 3.1, 3.2
The median of this lower half is 2.8, so Q1 = 2.8.
To find the third quartile (Q3), we need to find the value that separates the bottom 75% of the data from the top 25%. We can do this by finding the median of the upper half of the data:
3.7, 3.8, 4.1, 9.4
The median of this upper half is 3.95, so Q3 = 3.95.
To find the outlier, we can use the rule that any value more than 1.5 times the interquartile range (IQR) away from the nearest quartile is considered an outlier. The IQR is the difference between Q3 and Q1:
IQR = Q3 - Q1
IQR = 3.95 - 2.8
IQR = 1.15
1.5 times the IQR is 1.5 * 1.15 = 1.725.
The only value that is more than 1.725 away from either Q1 or Q3 is 9.4. Therefore, 9.4 is the outlier in this data set.
Answer
To find the perimeter of a regular polygon with n sides, we can use the formula:
Perimeter = n * s
where s is the length of each side. To find s, we can use trigonometry to find the length of one of the sides and then multiply by the number of sides.
In a regular polygon with n sides, the interior angle at each vertex is given by:
Interior angle = (n - 2) * 180 degrees / n
In a 15-sided polygon, the interior angle at each vertex is:
(15 - 2) * 180 degrees / 15 = 156 degrees
If we draw a line from the center of the polygon to a vertex, we form a right triangle with the side of the polygon as the hypotenuse, the distance from the center to the vertex as one leg, and half of the side length as the other leg. Using trigonometry, we can find the length of half of the side:
sin(78 degrees) = 12 / (1/2 * s)
s = 2 * 12 / sin(78 degrees)
s ≈ 2.17 inches
Finally, we can find the perimeter of the polygon:
Perimeter = 15 * s
Perimeter ≈ 32.55 inches
Rounding this to the nearest whole number, we get that the best approximation for the perimeter is 33 inches. Therefore, the closest option is (1) 68 inches.
helppppp what is the angle of
Answer: A) obtuse
Step-by-step explanation:
In geometry, there are four main types of angles:
Acute angle-an angle between 0 and 90 degrees. Right angle-an 90 degree angle. Obtuse angle-an angle between 90 and 180 degreesStraight angle-an angle equal to 180