Arestaurant freezes a cherry and lime juice mixture to create slushes. cherry juice costs $5 per quart, and lime juice costs $3 per quart. each day, the restaurant spends a total of $36 on 8 quarts of juice. the restaurant manager organizes the information in the table below.

a table titled cherry-lime slushies showing amount in quarts, cost and total. the first row shows cherry juice, with c, 5 and 5 c. the second row shows, lime juice, with 9 minus c, 3, and 3 left-parenthesis 8 minus c right-parenthesis. the third row shows mixture, and has, 8, blank, and 36.

which equation can be used to determine the amount of cherry juice in each mixture?

5c + 3(8 – c) = 36
5c + 3(8 – c) = 8
c + (8 – c) = 8
c + 5 = 5c

5c + 3(8 - c) = 36

Step-by-step explanation:

A restaurant freezes a cherry and lime juice mixture to create slashes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice.  

Therefore, if there are c quart of cherry juice, then the number of lime juice is (8 - c) quart as the total number of quarts is 8.

Now, the total cost is $36 and therefore, we can write the equation to find the number of quarts of cherry juice is  

5c + 3(8 - c) = 36 (Answer)

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|