A^6 because you would subtract the exponents 8 and 2
Answer:
Step-by-step explanation:
<u>Given:</u>
- Speed of the wind = 3 mph
- Speed in calm weather = x
- Speed with the wind = x + 3
- Speed against the wind = x - 3
<u>We know that:</u>
- distance = time*speed or
- time = distance / speed
<u>We have equal time in both cases so comparing d/s ratios:</u>
<u>Solve for x:</u>
- 56(x - 3) = 30(x + 3)
- 56x - 168 = 30x + 90
- 56x - 30x = 90 + 168
- 26x = 258
- x = 258/26
- x ≈ 9.92
<u>The speed with the wind is:</u>
Answer:
There are 18 dimes and 12 quarters
Step-by-step explanation:
Remember that
1 Dime =$0.10
1 Quarter=$0.25
Let
x-----> the number of dimes
y-----> the number of quarters
we know that
x+y=30
x=30-y ------> equation A
0.10x+0.25y=4.80
Multiply by 100 both sides
10x+25y=480 ------> equation B
Substitute equation A in equation B and solve for y
10(30-y)+25y=480
300-10y+25y=480
15y=180
y=12 quarters
Find the value of x
x=30-y=30-12=18 dimes
therefore
There are 18 dimes and 12 quarters
