2. Mercury High School is requiring students to purchase parking permits this year in order to

use campus parking lots. It costs the school a one-time fee of $500 to have the logo

designed. It also costs $2 per permit to print and cut out each one. They expect the average

cost of each permit to be $6.

a. Write a rational equation that describes the situation above.

b. How many parking permits does Mercury High School need to sell in order for the

average cost of a student's parking permit to be $6? Solve your equation from part (a)

to answer the question. Justify your solution as it relates to the context.

Answer:

=30x

=10x

Step-by-step explanation:

7x + 23 = 30x

21x - 11 = 10x

Answer and Step-by-step explanation:

We have to use the image to help us answer this question.

We see that there are 8 big fish in the tank, and 10 small fish in the tank.

So, for the first part, it would be:

There are 8 big fish for every 10 small fish.

For when there are 4 big fish, we need to divide 10 by 2, since 8 divided by 2 is 4.

10 ÷ 2 = 5

So,

There are 4 big fish for every 5 small fish.

I hope this helps!!

#teamtrees #PAW (Plant And Water)

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:standard-form/v/converting-from-slope-intercept-to-standard-form

This can help!

Answer:

y=2/5x+5

Step-by-step explanation:

Distribute 2/5 to the x and 10

At this point, y-1=2/5x+4

Add the 1

y=2/5x+5

Answer:

This isn't the best worded question but from what I understand a larger sample size decreases the margin of error. If he would like a more accurate answer a larger sample size of the viewers will give more accurate answers.

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

8 yellow / 8 total = 8/8 = 1

Answer:

$80.50

Step-by-step explanation:

To find the retail price:

Answer:

stop rushing me aaaaaaaaaahhhhhhhh

Step-by-step explanation:

Answer:

does this help

Step-by-step explanation:

What is the maximum angle of a pendulum?

Paul Appell pointed out a physical interpretation of the imaginary period: if θ0 is the maximum angle of one pendulum and 180° − θ0 is the maximum angle of another, then the real period of each is the magnitude of the imaginary period of the other.

Answer:

111.2 Fahrenheit for the bottom one and 22.8 Celsius for the top one.

Step-by-step explanation:

Following the formulas for the numbers we can get this

Answer:

22.7 degree c

111.2 degree f

Step-by-step explanation:

Answer:

- 2

Step-by-step explanation:

Given that :

Population mean, μ = 11

Population standard deviation, σ = 2

Sample mean, xbar = 9

Sample size, n = 16

The sampling error could be explained as the variation or difference which exists in statistical measure of the population and sample as the sample data does not totally or wholly represent the population data. This difference in sample and population mean is called sampling error.

Hence, the sampling error in the above scenario can be obtained thus :

Sampling error = (xbar - μ)

Sampling error = 9 - 11 = - 2

Answer:

(c)

Step-by-step explanation:

Given

See attachment for A and B

Required

Compare A and B

First, we get the initial population of A and B.

The initial population is at when [tex]t =0[/tex]

From the table of bacteria A, we have:

[tex]Initial = 100[/tex] when [tex]t = 0[/tex]

From the graph of bacteria B, we have:

[tex]Initial = 75[/tex] when [tex]t = 0[/tex]

Since the initial of bacteria B is less than that of bacteria A, then (a) is incorrect.

Next, calculate the slope of A and B i.e. the rate

Slope (m) is calculated as:

[tex]m = \frac{y_2 - y_1}{t_2 - t_1}[/tex]

Where

y = Number of bacteria

t = time

For bacteria A:

[tex](t_1,y_1) = (0,100)[/tex]

[tex](t_2,y_2) = (2,140)[/tex]

So, the slope is:

[tex]m_A = \frac{140 - 100}{2 - 0}[/tex]

[tex]m_A = \frac{40}{2}[/tex]

[tex]m_A = 20[/tex]

For bacteria B:

[tex](t_1,y_1) = (0,75)[/tex]

[tex](t_2,y_2) = (1,100)[/tex]

So, the slope is:

[tex]m_B = \frac{100- 75}{1 - 0}[/tex]

[tex]m_B = \frac{25}{1 }[/tex]

[tex]m_B = 25[/tex]

Since [tex]m_B > m_A[/tex], then the rate of bacteria B is greater than that of bacteria A.

Hence, (d) cannot be true

Next, we determine the equation of both bacteria

This is calculated using:

[tex]y = m(t - t_1) + y_1[/tex]

For bacteria A, we have:

[tex]y = m_A(t - t_1) + y_1[/tex]

Where:

[tex](t_1,y_1) = (0,100)[/tex]

[tex]m_A = 20[/tex]

So:

[tex]y = 20(t - 0) +100[/tex]

[tex]y = 20(t) +100[/tex]

[tex]y = 20t +100[/tex]

For bacteria B, we have:

[tex]y = m_B(t - t_1) + y_1[/tex]

Where:

[tex](t_1,y_1) = (0,75)[/tex]

[tex]m_B = 25[/tex]

So:

[tex]y = 25(t - 0) + 75[/tex]

[tex]y = 25(t) + 75[/tex]

[tex]y = 25t + 75[/tex]

At 3 hours, the population of bacteria A is:

[tex]y = 20t +100[/tex]

[tex]y = 20* 3 + 100[/tex]

[tex]y = 60 + 100[/tex]

[tex]y = 160[/tex]

At 3 hours, the population of bacteria B is:

[tex]y = 25t + 75[/tex]

[tex]y=25 * 3 + 75[/tex]

[tex]y=75 + 75[/tex]

[tex]y=150[/tex]

After 3 hours, bacteria B is 150 while A is 160.

This implies that (c) is correct because the population of B is less than that of A, at 3 hour

Lastly, to check if they will ever have equal population or not, we simply equate both equations.

So, we have:

[tex]y = y[/tex]

[tex]25t + 75 =20t + 100[/tex]

Collect like terms

[tex]25t - 20t = 100 - 75[/tex]

[tex]5t = 25[/tex]

Solve for t

[tex]t = 25/5[/tex]

[tex]t = 5[/tex]

They will have equal population at 5 hours.

Hence, b is incorrect

From the above computation, only (c) is correct

Answer:

A

Step-by-step explanation:

A. $329.04

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Answer:

THE MEASUREMENT ON THE THIRD ANGLE IS 180!!

Step-by-step explanation:

The angles surrounding the point p are 90 degrees

Then using the angle given, find the missing angles.

JPH = 90

HJP = 49

90+49 = 139

180 - 139 = 41

Therefore JHP = 41

HLP = HJP = 49

HLP = 49

KLP = 72

KLP + HLP = 72 + 49 = 121

Therefore, HLK = 121

LP = JP = 16

JP = 16

HL = HJ = 13

HL = 13

Hope this helps! =)

Answer:

The first step is to subtract 4 to both sides. Next we must multiply both sides by 2. The answer is - 20

Answer:

im tryna figure it out to dawg

Step-by-step explanation:

Answer:

length = 15   width = 8  

Area 15x8 = 120

Step-by-step explanation:

L = length

W= width

L = W + 7 (width plus7)

Area = W x L

Area =W (W+7)    

Do the distribution:

120 = W ² +  7W

Subtract 120 on both sides

    W + 7W -120 = 0

           Factor it

    (W + 15)(W - 8) = 0

    W = -15 or W = 8

              8 is used  for W

              L = W + 7

         L =  8+7=15  

Length = 15

Width =8.

Answer:

The expression equivalent to 3( x - 9) Is

3(x) - 3(9)

3x-27

3(x)-3(9)= 3x-27

Answer:

The answer is A! I got it right on pluto

Answer:

$1.45

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Money already had = $.84

Brother gave = $.61

So, total money Jacqueline has = Money already had + Brother gave money

= $.84 + $.61

= $1.45

Explanation : Total money Jacqueline has will be the total of the sum of the money she already had and the money her brother gave him.

Answer:

y=3x-2

Step-by-step explanation:

We know the equation ends in -2 because when x is zero, y is -2

To find the rest of the equation take any other point and take away the -2 from y

Then divide the y by the x to see how may times larger (or smaller) the y is then the x

(I chose -14)

-12÷-4=3

y=3x

the put the -2 back at the end because otherwise, your -14 would be a -12 and that is not a point on the table

Answer:

31 inches squared

Step-by-step explanation:

Area of shaded part = area of square - area of circle

area of square = length²

12² = 144

Area of a circle = πr²

r = radius = 12/2 = 6

(3.14) x 6² = 113.04

Area of shaded part = 144 - 113.04 = 30.96

rounding off to the nearest whole number gives 31

Answer:

31 squared inches

Step-by-step explanation:

cuz i did the test

MoNkEe :)

Answer:

D

Step-by-step explanation:

Answer:

1) at the highest Point

KE= 0  PE=2116.8 N

2) 3 m above the ground

PE= 529.2 N KE=1587.6 N

3) at the ground

KE= 2116.8 N and PE=0

Step-by-step explanation:

The potential energy is given by

PE= mgh   where m is the mass , g is the acceleration due to gravity which is equal to 9.8 m/s² and h is the height.

The kinetic energy is given by KE= 1/2 mv² where m is the mass of the body and v is the velocity.

1) at the highest Point

Now at the highest point the  velocity is zero

KE= 1/2 mv²

KE= 0

PE = mgh

PE= 18 *9.8* 12= 2116.8 N

Total Energy = KE + PE= 0 + 2116.8 N= 2116.8 N

2) 3 m above the ground

At 3 m above the ground

PE= mgh

PE= 18 *9.8* 3= 529.2 N

According to law of conservation of energy the total energy ( sum of KE and PE)  remains the same at every point.

Total Energy = KE + PE

2116.8 N-529.2N= 1587.6N

KE=1587.6 N

3) at the ground

at the ground the height will be zero

PE= mgh

PE= 18 *9.8* 0= 0 N

According to law of conservation of energy the total energy ( sum of KE and PE)  remains the same at every point.

Total Energy = KE + PE

2116.8 N=2116.8 N + 0

KE= 2116.8 N

or

KE= 1/2 mv²

KE = 1/2* 18 *(15.36)²= 2116.8

Answer:

A

Step-by-step explanation:

The slope in a slope-intercept equation is the coefficient of x.

In A, the slope is a 4/3, which is positive

In B, the slope is a -5, which is negative

Answer:

The area between the curves is 4 square units.

Step-by-step explanation:

We want to find the area bounded by:

y = x

x = 0

in the interval x = 1, x = 3

This is simply equal to the integral of the function f(x) = x between x = 1 and x = 3

Written as:

[tex]\int\limits^3_1 {x} \, dx[/tex]

And the integral of x is equal to x^2/2

Then:

[tex]\int\limits^3_1 {x} \, dx = (\frac{3^2}{2} - \frac{1^2}{2}) = (\frac{9}{2} - \frac{1}{2} ) = \frac{8}{2} = 4[/tex]

The area between the curves is 4 square units.

Answer:

1,652,43

Step-by-step explanation:

Answer:

1. 3mg

2. 3050g

3. 0.025g

4. 5700mg

5. 0.294g

6. 32mg

7. 13700mg

8. 2.441kg

9. 8.24g

10. 0.075kg

11. 430g

12. 0.721g

Step-by-step explanation:

This should be right :)