Let the slower cars speed equal X.
The faster cars speed would be X+5 ( 5 mph faster).
They traveled for 3 hours
Multiply the time of travel by speed to equal the number of miles traveled.
So you have:
3X + 3(X+5) = 267 miles
Simplify the left side:
3X + 3X+15 = 267
Combine like terms:
6x + 15 = 267
Subtract 15 from each side"
6x = 252
Divide each side by 6:
x = 252 / 6
X = 42
The slower car was traveling at 42 mph and the faster car was traveling at 47 mph.
Answer:
Step-by-step explanation:
Let O=number of oranges and A=number of apples.
O+A=20
O=20-A
1.25A+0.95O=22.60, using O found above makes this become
1.25A+0.95(20-A)=22.60
1.25A+19-0.95A=22.60
0.3A+19=22.60
0.3A=3.6
A=12, since O=20-A
O=20-12
O=8
So she bought 8 oranges and 12 apples. The question really only asks for the number of apples bought.
12 apples were bought.
Answer:
x = -62.5
Step-by-step explanation:
y = kx
-4 = k(25)
k = -4/25
y = (-4/25)x
10 = (-4/25)x
x = 10 × 25/-4
x = -62.5
Answer:
{1, 5, 25, 125, 625}
Step-by-step explanation:
The smallest positive integers that meet the requirement will be ...
5^0 = 1
5^1 = 5
5^2 = 25
5^3 = 125
5^4 = 625
As a set, these numbers are {1, 5, 25, 125, 625}.
(150 miles/week) x (1 gallon / 25 miles) x (3 $/gallon)
= (150 x 1 x 3) / (25) (miles-gallon-$ / week-miles-gallon)
= 18 $/week .