There were 3,905 more hits on the school's website in january than february. february had 9,854 hits. how many hits did the school's website have during both months? (answered) b. exactly how many hits did the website have during january and february? c. is your answer reasonable? compare your estimate from (a) to your answer from (b). write a sentence to explain your reasoning.

Let

x> number of hits during January

y> number of hits during February

z> total hits during January and February

Part a) About how many hits did the school's website have during both months?

Round the numbers to the nearest thousand

3,905 hits=4,000 hits

9,854 hits=10,000 hits

we know that

z=x+y > equation 1

x=4,000+y > equation 2

y=10,000 > equation 3

substitute equation 3 in equation 2

x=4,000+10,000=14,000 hits

Find the value of z

z=14,000+10,000=24,000 hits

Therefore

The answer Part a) is

They had about 24,000 hits during January and February

Part b) Exactly how many hits did the website have during January and February?

we know that

z=x+y > equation 1

x=3,985+y > equation 2

y=9,854 > equation 3

substitute equation 3 in equation 2

x=3,985+9,854=13,759 hits

Find the value of z

z=13,759+9,854=23,613 hits

Therefore

The answer Part b) is

They had exactly 23,613 hits during January and February

Part c) Is your answer reasonable? Compare your estimate from (a) to your answer from (b)

The estimate of 24,000 hits is reasonable, because the exact answer of 23,613 hits  rounded to the nearest thousand is equal to 24,000 hits

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:

ou would have 12 of each