Question:- Alana biked 12 miles in 48 minutes. What is Alana's speed in miles per minute?
Answer:-
Set up a proportion.
12/48 = 1/x
Cross multiply.
12*x = 12x
48*1 = 48
12x = 48
12x/12 = 48/12
x= 48/12
x= 4
Now, we have our final answer. x = 4
Final answer:- Alana bikes 4 miles per minute.
Answer:
11 hours babysitting
7 hours music lesson
Step-by-step explanation:
(11*5) + (7*12) = 139
You can solve this by using the system of equations.
Jan - 4.95 = 2H + 3C
Wayne - 5.45 = 3H + 2C
Use elimination.
-3(2H + 3C = 4.95)
2(3H + 2C = 5.45)
Solve. And you'll get:
-6H + (-9C) = -14.85
6H + 4C = 10.9
Cross out -6H and 6H because they cancel out. And you're left with:
-9C = -14.85
4C = 10.9
Add -9C with 4C, and -14.85 with 10.9.
-5C = -3.95
Divide each side with -5.
C = $0.79
Now to figure out what H is, just substitute the C in one of the equations with 0.79.
5.45 = 3H + 2(0.79)
5.45 = 3H + 1.58
-1.58 -1.58
3.87 = 3H
3.87/3 = 3/3(H)
1.29 = H
Finished!
Answer:
I do not understand she question do you mean the sum of their income is 2640
if so, then the answer is 440 to be x income
Step-by-step explanation:
x income = 20% or 1/5 of y income
y income = 5 of x income
we know that the sum of their income = 2640
which means that
x + y = 2640 =
1/5y + y = 2640
6y/5 = 2640
cross multiply to give us
6y = 5(2640)
6y = 13200
divide through by 6 to give us,
6y/6 = 13200/6
y = 2200
since we know that x income is 20% y income,
therefore, x income =
20/100 * 2200
= 440
therefore,
x income = 440
y income = 2200
