On a map, Clemonsville and Durant are 120 miles apart. How fast is a car traveling if it takes 3 hours to get from Clemonsville to Durant?

A. 30mph
B. 36 mph
C. 40 mph
D. 45 mph

Answer:

3 tens and 1 ones

Step-by-step explanation:

3 tens would be

3 x 10

which is 30

and 1 one is 1

30 + 1 = 31

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Answer:

Your answer is 8,077

Step-by-step explanation:

What you do is you take 8.077 and times it by 1,000.

8.077*1,000=8,077 as your answer.

Answer:

It equals 0, I hope this helps yoU!

Answer:

The perimeter of rectangle is [tex]18\ cm[/tex]

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

[tex]x=y+5[/tex] ----> equation A

[tex]120=xy+2x^{2}+2y^{2}[/tex] ---> equation B (area of the constructed figure)

substitute the equation A in equation B

[tex]120=(y+5)y+2(y+5)^{2}+2y^{2}[/tex]

[tex]120=(y+5)y+2(y+5)^{2}+2y^{2}\\ 120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\ 120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\120=5y^{2}+25y+50\\5y^{2}+25y-70=0[/tex]

using a graphing calculator -----> solve the quadratic equation

The solution is

[tex]y=2\ cm[/tex]

Find the value of x

[tex]x=y+5 ----> x=2+5=7\ cm[/tex]

Find the perimeter of rectangle

[tex]P=2(x+y)=2(7+2)=18\ cm[/tex]

Answer:

2

Step-by-step explanation:

Hopefully this helps.

Use y = mx + b.

m represents the slope of the line.

the slope equals rise over run.

in other words, count the number of vertical and horizontal units from one point to another point on the line.

if you have the y-intercept and a point, you can also solve for m.

b represents the y-intercept.

find the point on the graph where x = 0.

b is the value of y.

for example, if the y-intercept was (0,4) then b would equal 4.

x and y represent a point on the graph.

pick any point on the graph and plug it in.

for example, if the point (1,2) is on the graph then x = 1 and y = 2.

Answer:

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]AB^2+BC^2=AC^2[/tex]

We have

[tex]AB=8\ cm,\ BC=x\ cm,\ AC=\sqrt{89}\ cm[/tex]

Substitute:

[tex]8^2+x^2=(\sqrt{89})^2\qquad\text{use}\ (\sqrt{a})^2=a\ \text{for}\ a\geq0\\\\64+x^2=89\qquad\text{subtract 64 from both sides}\\\\x^2=25\to x=\sqrt{25}\\\\x=5\ cm[/tex]

See the attached picture:

Answer:

[tex]13.19\ m[/tex]

Step-by-step explanation:

step 1

Divide the total height by the number of step leading

[tex]\frac{24}{91}=0.2637\frac{m}{step}[/tex]

step 2

Multiply [tex]0.2637\frac{m}{step}[/tex] by 50 step

[tex]0.2637(50)=13.19\ m[/tex]

If you were standing on the 50th step of the pyramid, you would be approximately 13.185 meters above the ground, calculated by finding the height per step and multiplying by the number of steps climbed.

The task is to calculate how high above the ground you would be if you were standing on the 50th step of a pyramid that has a temple approximately 24 meters above the ground with a total of 91 steps leading up to the temple. To solve this, we will assume that the height the steps cover (24 meters) is evenly distributed across the number of steps (91). So, each step represents 24 meters divided by 91 steps in height.

First, let's calculate the height of each step:

Height per step = Total height / Number of steps

Height per step = 24 meters / 91 steps ≈ 0.2637 meters per step

Next, we need to calculate the height at the 50th step:

Height at 50th step = Height per step * Number of steps climbed

Height at 50th step = 0.2637 meters per step * 50 steps ≈ 13.185 meters

Therefore, if you were standing on the 50th step, you would be approximately 13.185 meters above the ground.

on edge it's C. If Terrence samples 800 more people, his margin of error will be the same as Deena’s.

Answer:

Step-by-step explanation:

Margin of error is calculated as

Critical value multiplied by Std error of sample

= Critical value multiplied by square root of (variance/sample size)

Hence Margin of error

=[tex]z/t*(\frac{\sigma}{\sqrt{n} } )[/tex]

Thus square root of n is inversely proportion to margin of error.

Thus we have margin of error of Terrena would be square root of 3 times that of Deena

Thus option a, b and d are wrong

C is right because when sample sizes equal, the margin of error also would be equal.

Answer:

C. 19 cars; 19 motorcycles

Step-by-step explanation:

Let c represent the number of cars and m represent the number of motorcycles that participated this year.

This year a total of 38 vehicles participated. So, we can write the equation as:

c + m = 38                                                (Equation 1)

Each car has 4 tires, so number of tires in c cars will be 4c.

Each motorcycle has 2 tires, so number of tires in m motorcycles will be 2m.

In total there were 114 tires, so we can set up the equation as:

4c + 2m = 114                                          (Equation 2)

From equation 1, m = 38 - c. Using this value in Equation 2, we get:

4c + 2(38 - c) = 114

4c + 76 - 2c = 114

2c = 114 - 76

2c = 38

c = 19

Using this value in equation 1, we get:

19 + m = 38

m = 19

Thus, 19 cars and 19 motorcycles participated in the ride.

Answer:

22 cars; 32 motorcycles

Step-by-step explanation:

I Did It On Study Island

The fourth option is correct.

See the attached image. The red cylinder represents a washer formed by the described revolution. Its volume is

[tex]\pi((\text{outer radius})^2-(\text{inner radius})^2)(\text{height})[/tex]

so when we integrate, we take

[tex]\displaystyle\pi\int_0^1((e^x+2)^2-3^2)\,\mathrm dx[/tex]

1.when you change the first equation to the form it is the same as the second which means infinite solutions

y-3x=5 --->y=3x+5 then set them equal to find many possible solutions

2.this is no solution because the slopes are the same when you combine these equation the 2's cancel out and you ar left with y=12x which cannot be solved

3.when everything is different there is one solution

Answer:

Linear

Step-by-step explanation:

It is linear because it is a straight line.

Answer:

Linear

Step-by-step explanation:

The function is linear because it is a straight line.

Answer:

The function is [tex]f(x) = 27(\frac{1}{3})^x[/tex]

Step-by-step explanation:

Compare the y values. Notice that the y values are all multiples of 3 and they decrease by dividing by 3 each time. This suggests the base is 1/3.

Now check when x = 0. This is the initial value since the zero exponent gives an output of 1. So the only way for (0,27) to be a point is for 27 to e multiplied as the initial value. The function is [tex]f(x) = 27(\frac{1}{3})^x[/tex]

Answer:  " 29 minutes. "

_____________________________________________

Step-by-step explanation:

_____________________________________________

      54 minutes (minus) 25 minutes =

     54

-   25

_____________________________________________

    29 minutes.

_____________________________________________

Answer 29 minutes

step by step solution:

patient seen at = 1:54

patient check in at = 1:25

waiting time= 1:54 - 1:25= 0: 29

Answer:

D  550 ft²

Step-by-step explanation:

5.5 x 5 = 27.5

4 x 5 = 20

A = LW

27.5 x 20 = 550

Scaling is the process in which the dimension of an object is multiplied or increased by the same ratio.  The actual area of the rectangular patio is 550 feet².

Scaling is the process in which the dimension of an object is multiplied or increased by the same ratio.

As it is given that the ratio by which the patio is scaled is 1 inch = 5 feet. Therefore, a single inch on the drawing is 5 feet in the real world.

Now, the dimensions of the patio on the scale drawing are 5.5 inches by inches, therefore, each of the dimensions will be scaled.

[tex]\text{Length of the Patio}= 5.5\rm \times 5 = 27.5\ feet[/tex]

[tex]\text{Width of the Patio} = 4 \times 5 = 20\rm\ feet[/tex]

Further, the area of the rectangle is the product of its length and its breadth, therefore, the area of the rectangular patio is

[tex]\text{Area of the Patio} = Length \times Breadth\\[/tex]

                           [tex]= 27.5 \times 20\\\\= 550\rm\ feet^2[/tex]

Hence, the actual area of the rectangular patio is 550 feet².

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Answer: 12 Dozens of Muffins

Step-by-step explanation:

An easy way to do this is to work backwards. 20(Total number of muffins) - 8(Muffins made in the second day) = 12(Muffins made in the first day) that means that she made 12 dozens, or a dozen dozens!

Answer:

3200

Step-by-step explanation:

multiply the mass value by 1000

Answer:

3,200 WILL BE YOUR ANSWER

Step-by-step explanation:

I HOPE 6THAT HELPS

Answer:  a) 21

Step-by-step explanation:

   2A - 3B  ; A = 6, B = -3

   2(6) - 3(-3)

=   12   -   -9

=   12   +   9

=        21

Answer:

8 oz bottle

Step-by-step explanation:

1.36/8 = .17

3.20/16 = .20

Answer:

Product A

Step-by-step explanation:

You're going to use the sell price divided by bottle size.

Product A, $1.36/8, $0.17  per oz.

Product B, $3.2/16, $0.2 per oz.

therefore A is cheaper

Answer:

A

Step-by-step explanation:

The area of a square is A = s². So the area of this square is A = (2x+2)² = 4x² + 8x + 4.

The perimeter of the triangle is 4/3x + 4/3x+4/3x = 12/3x = 4x.

The difference between the two values is subtraction. Subtract the expressions and simplify.

4x² + 8x + 4 -4x = 4x² + 4x + 4

This expression is also equal to 3. Set it equal to 3 and solve for x.

4x² + 4x + 4 = 3

4x² + 4x + 1 = 0

Substitute a = 4, b = 4 and c = 1 into the quadratic formula.

The quadratic formula is [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex].

Substitute and you'll have:

[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} =\frac{-4+/-\sqrt{4^2-4(4)(1)} }{2(4)}=\frac{-4+/-\sqrt{16-16} }{8)}[/tex]

[tex]\frac{-4+/-\sqrt{0} }{8} = \frac{-4}{8}=\frac{-1}{2}[/tex]

Answer:

hi there

your answer to this is:

by using the equation πr² . the R is  the Radius  of the circle. then  multpitly   by it the base of the circle.  

I hope this helps you out

Have a great Morning

FaithRawlins14

Final answer:

The term 'circle' does not represent a 3D object with volume. For calculating volume, one must consider 3D shapes like cylinders or spheres which do have volume; their volumes are calculated using the formulas V = πr²h for cylinders, and V = 4/3 πr³ for spheres, respectively.

Explanation:

It seems there is a confusion in the question as a 'circle' is a 2D shape and does not have volume. However, if we are referring to a cylinder which has a circular base, then the volume can be calculated. To find the volume of a cylinder, we use the formula V = πr²h, where V represents volume, π is approximately 3.142, r is the radius of the circular base, and h is the height of the cylinder.

In the case of a sphere, a 3D object that could be mistaken as a 'circle' in conversations, the volume formula is given by V = 4/3 π r³. This is derived from geometric principles, ensuring the units match, and considering the sphere's volume in relation to a cube that would contain it. Applying this to an example, the volume of a sphere with a radius of 4.30 inches can be converted to cubic centimeters, and would be calculated using the volume formula for a sphere.

Answer:

B

Explanation:

Solve for n:

Subtract 8 on both sides.

5n + 8 = 30

       -8    -8

Divide by 5 on both sides.

5n = 22

---     ----

5        5

Getting a solution of 4 2/5.

n = 4 2/5

Check:

5(4 2/5) + 8 = 30

22 + 8 = 30

30 = 30

Answer: About 43

Step-by-step explanation:

in each 75 there is 6 mistakes so 75-6=69

then if you divide 3000 by 69 you get 43 im pretty sure

To predict the number of defective products out of 3000, Ronen can use proportions. He found 6 defects in a sample of 75 products, which scales up to approximately 240 defects in 3000 products.

Ronen found that 6 out of 75 products had defects in a random sample. To predict how many out of 3000 products would have defects, we can set up a proportion because we are assuming that the sample proportion will be representative of the larger population. Here's the step-by-step explanation:

This calculates to 240. Therefore, Ronen can predict that approximately 240 out of 3000 products will have defects.

Kelly's estimated monthly payroll tax is $475.94, which is found by adding together all of her weekly taxes and then multiplying by the average number of weeks in a month.

To estimate the amount of payroll tax Kelly pays each month, we first need to find out how much she pays weekly and then multiply it by the number of weeks in a month on average.

Firstly, we add together all of the weekly taxes she pays, which includes federal income tax ($68.45), state income tax ($22.81), and other taxes ($18.75). The sum equals $110.01.

Then, to convert this weekly tax to a monthly estimation, we multiply by an average of 4.33 weeks in a month (since not every month is precisely 4 weeks). Therefore, $110.01 * 4.33 is approximately $475.94.

Therefore, the best estimation for the monthly payroll tax that Kelly pays is $475.94.

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[tex] \sin(60°) = \frac{x}{14} \Leftrightarrow x = 14 \sin(60°) = \frac{14 \sqrt{3} }{2} = 7 \sqrt{3} \\ \cos(60°) = \frac{y}{14} \Leftrightarrow y = 14\cos(60°) = \frac{14}{2} = 7[/tex]

To factor the expression x³ - y³ into factors of the lowest possible order, we can use the formula for factoring a difference of cubes: a³ - b³ = (a - b)(a² + ab + b²). In this case, we have x³ - y³, so our factors are (x - y)(x² + xy + y²). These are the factors using complex coefficients.

To factor the expression x³ - y³ into factors of the lowest possible order, we can use the formula for factoring a difference of cubes: a³ - b³ = (a - b)(a² + ab + b²). In this case, we have x³ - y³, so our factors are (x - y)(x² + xy + y²).

These are the factors using complex coefficients. To find the factors using real coefficients, we can use the fact that a complex conjugate pair of roots will always have real coefficients. Therefore, the factors using real coefficients will be (x - y)(x² + xy + y²).

Answer:

28 units

Step-by-step explanation:

The volume of the rectangular prism is 28 cubic units.

To find the volume of a rectangular prism, we use the formula:

Volume = Base Area * Height

The Base Area is 21/2 (21/2 = 10.5) and the Height is 8/3, we can calculate the volume as follows:

Volume = 10.5 * (8/3)

To multiply fractions, we simply multiply the numerators together and the denominators together:

Volume = (10.5 * 8) / 3

Volume = 84 / 3

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 3:

Volume = 28

So, the volume of the rectangular prism is 28 cubic units.

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There are 100 decameters (dam) in a kilometer (km).

4.5km x 100dam = 450 decameters

Answer: 450 decameters

The range is the difference between the largest number and the smallest number.

The largest number given is 21, the smallest number given is 12.

21 - 12 = 9

The range is 9.

Answer: 9

Step-by-step explanation:

Range = subtract the highest number by the lowest number

Put the numbers in order from least to greatest.

12, 14, 15, 16, 17, 17, 21

21 - 12 = 9