Answer:
1) 2 hours
2) 96 miles
Step-by-step explanation:
1) Eliot and William went hiking. They went at the same speed. Let x mph be their speed.
<u>Elliot:</u>
Distance = 8 miles
Speed = x mph
Time
hours
<u>William:</u>
Distance = 12 miles
Speed = x mph
Time
hours
It took Eliot
less than William, then
![\dfrac{8}{x}+\dfrac{2}{3}=\dfrac{12}{x}\\ \\\dfrac{2}{3}=\dfrac{12}{x}-\dfrac{8}{x}\\ \\\dfrac{2}{3}=\dfrac{4}{x}\\ \\2x=3\cdot 4\ \ [\text{Cross multiply}]\\ \\2x=12\\ \\x=6\ mph](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7Bx%7D%2B%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B12%7D%7Bx%7D%5C%5C%20%5C%5C%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B12%7D%7Bx%7D-%5Cdfrac%7B8%7D%7Bx%7D%5C%5C%20%5C%5C%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B4%7D%7Bx%7D%5C%5C%20%5C%5C2x%3D3%5Ccdot%204%5C%20%5C%20%5B%5Ctext%7BCross%20multiply%7D%5D%5C%5C%20%5C%5C2x%3D12%5C%5C%20%5C%5Cx%3D6%5C%20mph)
So, William's hike was

hours long.
2) <u>Initially:</u>
Distance = 120 miles
Speed = 55 mph
Time
hours
<u>Final:</u>
Speed = 44 mph
Time
hours
Distance 
Answer:
814 in ^2
Step-by-step explanation:
2(wl x hl x hw)
hope this helps
Answer:
B
Step-by-step explanation:
To multiply scientific notation, multiply each part of the number.
(9 x 10)^2(2 x 10)^10 = (9*2) * (10^ 2 + 10) = 18 * 10 ^ 12
Since scientific notation can only have a digit in the ones place from 1-9. 18*10^12 becomes 1.8*10^13.
The solution is B.
Substitute value of y from equation (1) in equation (2),
5x-4(5-3x) = -3
5x-20+12x = -3
17x=17
x = 1
Substitute it in equation (1),
y = 5-3(1)
y = 5-3 = 2
So, the values (x,y) = (1,2)