Solve each of the following by using a proportion. 1. one out of every five people who buy ice cream buys vanilla ice cream. if a store sells 125 ice cream cones in one day, about how many will be vanilla? 2. taxes on a house assessed at $64,000 are $1500 a year, if the assessment is raised to $85,000 and the tax rate did not change, how much would the taxxes be? 3. i have a map where indy and ft. wayne are 3 centimeters apart. kokomo and indy are 1.5 cm apart on the map. if i know that indy and ft. wayne are really 120 miles apart, how far would indy and kokomo be in real life? 4. a clock can make 1 full rotation with its hand in 1 minute. how many rotations would it make in 1 hour? 5. let us imagine that your math 123 book cost $45 to print. how much does it cost per page? (hint: you will need information about your book to calculate this! )

1) 25 ice cream cones

2) $1992.18 in taxes.

3) 60 miles apart.

4) 60 rotations

5)45/p where p is the number of pages.

Step-by-step explanation:

1) One out of every five people who buy ice cream buys vanilla ice cream. If a store sells 125 ice cream cones in one day, about how many will be vanilla?

We need to solve this problem using a proportion and solving for x:

25 ice cream cones will be vanilla.

2. Taxes on a house assessed at $64,000 are $1500 a year, If the assessment is raised to $85,000 and the tax rate did not change, how much would the taxes be?

Taxes would be $1992.18

3. I have a map where Indy and Ft. Wayne are 3 centimeters apart. Kokomo and Indy are 1.5 cm apart on the map. If I know that Indy and Ft. Wayne are really 120 miles apart, how far would Indy and Kokomo be in real life?

To solve this, first we have to remember that 1 mile equals 160934 cms. Therefore, 120 miles would be 19312080 cms.

Indy and Kokomo are 9656040 cms apart, this equals 9656040/160934 = 60 miles apart.

4. A clock can make 1 full rotation with its hand in 1 minute. How many rotations would it make in 1 hour?

1 hour has 60 minutes, therefore the proportion would be:

It makes 60 rotations in 1 hour.

5. Let us imagine that your MATH 123 book cost $45 to print. How much does it cost per page?

I don't know how many pages your book has, let's call p the number of pages it has.

.

It would cost 45/p where p is the total of pages of your book.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.