Let
be the function that gives the average cost per book
c(x)
in dollars, when using an online store to print
copies of a self-published paperback book. Use the graph of
120 + 4x
c(x) =
to answer the following questions.
1. What is the approximate cost per book when 125 books are printed?
2. The author plans to charges $9 per book. About how many should be printed?

Answer:3

Step-by-step explanation:

Answer:

heres most of my answers execpt the last one cause i didnt do it yet....

Step-by-step explanation:

Step 1: Finding the part-to-part and part-to-whole ratios  

To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.  

a. What is the ratio of water to drink mix? (2 points)  

   8:3  

b. What is the ratio of drink mix to water? (2 points)  

   3:8  

c. What is the ratio of drink mix to mixed energy drink? (2 points)  

       3:8  

d. What is the ratio of water to mixed energy drink? (2 points)  

   8:8  

Step 2: Testing Jerome’s brother’s approach  

Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.  

a. Complete the table below. (2 points)  

 Original Ratio  +1  +2  +3  +4  

Drink mix (cups)  3  4  5  6    7  

Water (cups)  8  9  10  11  12  

b) Is Jerome’s brother correct? Explain why or why not, using examples from the ratio table to support your argument. (4 points)  

Jerome’s brother is wrong because in Jerome’s original mix his ratio is 8:3 and Jerome’s brother is saying to add 1 cup of water to the mix that would usually take 2.6666….and that would just make the drink powdery and not taste very well.  

Step 3: Testing Jerome’s sister’s pproach  

Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.  

a. Complete the table below. (2 points)  

 Original Ratio  ×1  ×2  ×3  ×4  

Drink mix (cups)  3     3   6  9          12  

Water (cups)  8    8  16  24    

       32

Is Jerome’s sister correct? Explain why or why not, using examples from the ratio table to support your argument. (4 points)  

Jerome’s sister is correct because in Jerome’s original ratio he has 8:3 and his sister is saying to multiply the ratio of water to drink mix and still increase the amount of energy drink.  

Page Break  

Step 4: Calculating the right recipe for Jerome  

Twenty-two people are running in tomorrow’s road race and Jerome thinks they will each want two cups of energy drink.  

a. How many cups of energy drink does Jerome need to make?  

(1 point)  

44 cups of water  

How much water and how much drink mix should Jerome use to make enough energy drink for all the runners? Create a table to show your work and explain your results in writing. (4 points)  

                       4 8 12 16 20 24

Cups of mix 3 6 9 12 15 18

cups of water 8 16 24 32 40 48

                         X1   X2  X3   X4  X5    X6

Hope this helps :3

Answer:

p3+13=37

We move all terms to the left:

p3+13-(37)=0

We add all the numbers together, and all the variables

p^3-24=0

Answer:

The relationships which are true are

C>B and A>B

Step-by-step explanation:

With the given statements about the value of A, B and C it shows that C is indeed bigger than B and A is also bigger then B. The sign must open its mouth on the side which is bigger. :)

Answer:

3/4 i believe

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

ac is 12, bc is 9. simplify and you get to 4/3

Answer:

c^2 = a^2 + b^2

Step-by-step explanation:

for a right angle triangle ( has a 90 degree angle)

the formula is

c^2 = a^2 + b^2

c is the hypotenuse

a is the adjacent

b is the opposite

Answer:

You add them together to get 75 degrees then you take 180-75 to get 105 so you will subtract the sum of the two given angles from 180°. So your answer is 105 degrees.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

5*8= 40, 40 slices

1/4 of 40 is 10,

40-10= 30, Lee eats 1/4 of the pizzas (10 pizzas)

SO, there are 30 pizza slices left.

Answer:

30

Step-by-step explanation:

if there is 5 pizza and 8 peices, you would do 5x8. You get 40. Lee ate 30 percent of it meaning this

Answer:

1 9/16

Step-by-step explanation:

f(x)=x^2+2x+1

Let x = 1/4

f(1/4)=(1/4)^2+2*1/4+1

      = 1/16+ 1/2 +1

      = 1/16 + 8/16 + 1

      =1 9/16

Answer:

68 is a composite number. 68 = 1 x 68, 2 x 34, or 4 x 17. Factors of 68: 1, 2, 4, 17, 34, 68. Prime factorization: 68 = 2 x 2 x 17, which can also be written 2² x

Answer:

2.2

Step-by-step explanation:

41/9 is 2.15789473684

since you need it to the nearest tenth, just get rid of the other numbers past the five, you will then have 2.15

since you are looking for the nearest tenth, you need to look at the 2nd number after the decimal place to determine whether it rounds up or down. ( a helpful rule is 5 or above, give it a shove. 4 or below, leave it alone. because the 2nd digit is 5 you need to give the 1 a shove and turn it into a 2. Since you gave the 5 a shove, you need to get rid of that 2nd digit in your answer.

FINAL ANSWER: 2.2

Answer:

41.20 or 41.2

Step-by-step explanation:

when you round it to the tenths place you get 20 instead of 19 so therefore it is 41.20 or 41.2

Answer:

0.2

Step-by-step explanation:

The total universe consists of 3 + 2 + 5 = 10 paper clips.

2 of them are red.

The probability of drawing one is 2/10 = 0.2 or 1 chance in 5.

Answer:

Step-by-step explanation:

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\(6,2)=(x_1,y_1)\\(0,-6)=(x_2,y_2)\\\\d=\sqrt{\left(0-6\right)^2+\left(-6-2\right)^2}\\\\d=\sqrt{6^2+8^2}\\\\d=\sqrt{36+64}\\\\d=\sqrt{100}\\\\d=\sqrt{10^2}\\\\d =10[/tex]

Step-by-step explanation:

Hey there!

Given points are; (6,2) and (0,-6)

Use distance between two points.

[tex]d = \sqrt{ {x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

Put all values.

[tex]d = \sqrt{( {0 - 6)}^{2} + ( { - 6 - 2)}^{2} } [/tex]

Simplify it to get answer.

[tex]d = \sqrt{ {( - 6)}^{2} + {( - 8)}^{2} } [/tex]

[tex]d = \sqrt{36 + 64} [/tex]

[tex]d = \sqrt{100} [/tex]

[tex]d = 10[/tex]

Therefore the distance between two points is 10 units.

Hope it helps...

Answer:

[tex]y = \frac{5x}{2} + 15[/tex]  

I hope this helps!

1/2 is basicaly 30 mins so it would be 6/4

The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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Answer:

AngleVUR and AngleQRU

Step-by-step explanation:

We have a transversal here, so this means that all matching sides are congruent (the same).

Alternate interior angles are 2 angles that are inside the transversal (transversal is the line that cuts 2 lines, making the matching angles congruent) but are on opposite sides. AngleVUR and AngleQRU are the only pair that meets this condition. the image may help expand your understanding

Answer:

8 dollars..? oop pls tell me if im wrong-

Answer:

80 cents

Step-by-step explanation:

to get to 100 from 20, you multiply by 5

so multiply top and bottom by 5

16 times 5 is 80

20 times 5 is 100

80/100 equals 80 cents

Hope this helps :-)

Answer:

Difference quotient: [tex]\frac{f(x+h)-f(x)}{h}[/tex] = 2

Step-by-step explanation:

The difference quotient is the word that we use when trying to calculate the average rate of change of the function over a specific interval, which in this case, is h.

The formula for calculating the difference quotient is:

In order to determine the difference quotient of the function [tex]f(x)=2x-5[/tex] we need to first evaluate [tex]f(x+h)[/tex] of this function.

We can do so by substituting x + h for x into the function.

Distribute 2 inside the parentheses.

Now that we have found f(x + h), we can use the formula for the difference quotient and substitute f(x + h) and f(x) into it:

Distribute the negative sign inside the parentheses.

Combine like terms in the numerator. The 2x and 5's cancel out. We are left with:

The h's cancel out, and this simplifies to:

The difference quotient of f(x) is 2.

Answer:

[tex]c^{2}+6\\ 4^{2} =16\\16+6= 22[/tex]

Step-by-step explanation:

Answer:

8%=1 hour

?=48 hours

48×8

384

1000-384

616 bacteria

Answer:

21

Step-by-step explanation:

Identify the value of each variable in the formula. Be sure to put the percent in decimal form. Be sure the units match—the rate is per hour and the time is in hours.

AA0rt=?=1000=−0.08/hour=48hours

Substitute the values in the formula.

AA=A0ert=1,000e−0.08⋅48

Compute the amount.

A≈21.49

Round to the nearest whole number.

A≈21

Answer:

z=2, y=-4, x=8

Step-by-step explanation:

since we know z is 2, we can plug it back into the equation to find y:

y+2*2=0

first, simplify:

y+4=0

then, subtract 4 from both sides:

y=-4

now we know what both z and y are, we can put the values back into the equation to find x:

x+2(-4)+3*2=6

first, simplify:

x-8+6=6

x-2=6

then, add 2 to both sides:

x=8

so the values are:

z=2, y=-4, x=8

The best class width would be 0.7.

To determine the best class width for 6 classes, we need to find the range of the data and divide it by the number of classes.

The minimum data value is 2.1, and the maximum data value is 6.2. Therefore, the range of the data is:

Range = Maximum Data Value - Minimum Data Value

= 6.2 - 2.1

= 4.1

To find the best class width, we divide the range by the number of classes. In this case, we want 6 classes:

Class Width = Range / Number of Classes

= 4.1 / 6

≈ 0.6833

Since the data is given with one decimal place, we round the class width to the larger tenths place. Therefore, the best class width would be 0.7.

Using a class width of 0.7, we can create 6 classes that cover the range of the data. Each class will have a width of 0.7, and the intervals for the classes can be determined by adding the class width successively to the minimum data value.

It's important to note that choosing an appropriate class width depends on the nature of the data and the purpose of the analysis. Adjustments to the class width may be necessary based on the specific characteristics of the dataset.

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Answer:

x=5

Step-by-step explanation:

22x+3(x-8)=101

22x+3x-24=101

25x-24=101

25x=125

x=5

Answer:

2/3

Step-by-step explanation:

The probability that either event A or B will occur is 43/60

Using the parameters given

n(A) = 29

n(B) = 14

Total number of events = 29+17+14 = 60

The probability of each event :

P(A) = 29/60

P(B) = 14/60

P(A or B ) = P(A) + P(B)

P(A or B ) = 29/60 + 14/60

P(A or B ) = 43/60

Therefore, the probability of A or B is 43/60

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Given parameters:

Distance covered  = 925 miles

Quantity of gas used  = 37 gallons

Cost of gas per gallon  = $5.909

Unknown:

Amount spend on gas = ?

The amount spent on gas would:

   Cost of gas  = cost of gas per gallon x quantity of gas used

Input the parameters and solve;

   Cost of gas  = $5.909 / gallon x 37 gallons  = $218.6

Amount spent on fuel during her trip was $218.6

Answer:

2.4 hours to run 12 miles.

Step-by-step explanation:

[tex]\frac{7.5}{1.5} = \frac{12}{t} = 2.4[/tex]

the proportion is 5:1

for every hour, jose runs 5 miles

Answer:

1/10

Step-by-step explanation:

3/5=6/10

7/10-6/10=1/10