QUESTION 1) Which situation can be represented by the equation −4(5)=−20?

a) Jasmine exercised for 4 hours after school each day last week.

b) The cost of a summer pool pass increased $4 each of the last 5 years.

c) Jasmine earned $4 for each of 5 classes in which she received an A.

d) The temperature dropped 4 degrees each hour for 5 consecutive days.

QUESTION 2) A recipe for 1 pumpkin pie calls for 1¼ cups of sugar. Alana has only ½ cup of sugar and needs to make 4 pumpkin pies. How many more cups of sugar will Alana need to make all 4 pies ?

A) Alana needs 2 more cups of sugar

B) Alana needs 4 ½ more cups of sugar

C) Alana needs 5 more cup of sugar

Question 1) D The temperature dropped 4 degrees each hour for 5 consecutive days.

Question 2) B Alana needs 4 1/2 more cups of sugar.

Step-by-step explanation:

Question 1) Since the 4 is negative, this means that something needs to be decreasing. The temperature is the only example in which this is the case.

Question 2) If one pumpkin pie calls for 1 1/4 cups of sugar, four pumpkin pies calls for 5 cups of sugar: 4*1 1/4. Since Alana already has 1/2 cup of sugar, 5-1/2=4 1/2.

x= 149. 24+7=31. 180-31=149

your welcome

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: