Answer for number 4 is
hour.
Step-by-step explanation:
Maximum hour spent for all homework (English homework + math homework) is 2 hours.
Let us assume the hours spent for English homework be 'e'.
It is given that:
(Hours spent for math homework) = 2 × (Hours spent for English homework)
Hours spent for math homework = 2 × e = 2e
Total hours spent = (Hours spent for math homework) + (Hours spent for English homework)
Total hours spent = 2e + e = 3e
2 = 3e
3e = 2
∴ e = 
Therefore number of hours spent on English homework is equal to
hours.
Answer:
Second choice:


Fifth choice:


Step-by-step explanation:
Let's look at choice 1.


I'm going to subtract 1 on both sides for the first equation giving me
. I will replace the
in the second equation with this substitution from equation 1.

Expand using the distributive property and the identity
:




So this not the desired result.
Let's look at choice 2.


Solve the first equation for
by dividing both sides by 2:
.
Let's plug this into equation 2:



This is the desired result.
Choice 3:


Solve the first equation for
by adding 3 on both sides:
.
Plug into second equation:

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:



Not the desired result.
Choice 4:


I'm going to solve the bottom equation for
since I don't want to deal with square roots.
Add 3 on both sides:

Divide both sides by 2:

Plug into equation 1:

This is not the desired result because the
variable will be squared now instead of the
variable.
Choice 5:


Solve the first equation for
by subtracting 1 on both sides:
.
Plug into equation 2:

Distribute and use the binomial square identity used earlier:



.
This is the desired result.
Answer:
3 dollars
Step-by-step explanation:
15 x .2
Because you convert the percentage to a decimal
Divide 5821 by 71
Round the number to the nearest hundred
5821 ÷ 71 → 5800 ÷ 70
Calculate mentally.
58 ÷ 7=8.2
Estimated quotient = 8