Answer:
18√7x⁶
Step-by-step explanation:
Given the expression 7√28x⁶+4√7x⁶, we are to fund the sum in its simplest form as shown;
7√28x⁶+4√7x⁶
= 7√(7*4)x⁶+4√7x⁶
= 7*2√7x⁶+4√7x⁶
= 14√7x⁶+4√7x⁶
Factor out the like term
= 2√7x⁶(7+2)
= 2√7x⁶(9)
= 18√7x⁶
Hence the sum is equivalent to 18√7x⁶
Answer:
Step-by-step explanation:
y - 3 = -2/3(x - 3)
y - 3 = -2/3x + 2
y = -2/3x + 5
Answer:
74.6018 Miles per hour
Step-by-step explanation:
Step 1: How many seconds are in an hour? There are 60 seconds in a minute and 60 minutes in an hour, so there are 60*60 = 3600 seconds in an hour.
Step 2: How many feet are in a mile? There are 5280 feet in a mile.
Step 3: To convert feet per second to miles per hour, first multiply by 3600, then divide by 5280. The fraction 3600/5280 reduces to 15/22.
To convert feet per second to miles per hour, multiply by 15/22.
So: 109.416 feet/second * (15/22) = 74.6018 miles/hour
Answer:
- It has taken Jake about 40 minutes to finish his Spanish homework.
Step-by-step explanation:
<u>We know that:</u>
- Homework = 4 hours = Spanish + Math + Science + History
- Spanish = 4 hours x 1/6
- Math = 4 hours x 1/4
- Science = 4 hours x 1/4
- History = 4 hours x 1/3
<u>Work:</u>
- Spanish = 4 hours x 1/6
- => 2 hours x 1/3
- => 2/3 hour
- => 2/3 x 60 minutes
- => 40 minutes
Hence, it has taken Jake about 40 minutes to finish his Spanish homework.