Answer:
A = 219
C = 362
Step-by-step explanation:
Given,
581 = C + A
and
$1090.50 = 1.5C + 2.5A
solve 1st for A
A =581 - C
substute into 2nd
1090.50 = 1.5C + 2.5(581 - C)
solve for C
1090.50 = 1.5C + 1452.50 - 2.5C
1090.50 = -C + 1452.50
1090.50 - 1452.50 = -C
-362 = -C
C = 362
then
581 = C + A
581 = 362 + A
219 = A
A = 219
Answer:
3 in
Step-by-step explanation:
Apparently, we are to assume that the height and width are proportional:
height/width = (6 in)/(8 in) = (new height)/(4 in)
Multiplying by 4 in will tell us the new height:
new height = (4 in)(6/8) = 3 in
The reduced frame will be 3 inches tall.
Answer:
6 quarters, 3 dimes, and 12 nickles
Step-by-step explanation:
Let's say Q is the number of quarters, D is the number of dimes, and N is the number of nickles.
From the information in the problem, we can write three equations:
25Q + 10D + 5N = 240
N = 2Q
Q = 2D
Solve the system of equations using substitution.
25(2D) + 10D + 5(2Q) = 240
50D + 10D + 10Q = 240
60D + 10(2D) = 240
60D + 20D = 240
80D = 240
D = 3
Q = 6
N = 12
There are 6 quarters, 3 dimes, and 12 nickles.
Answer:
29.9
Step-by-step explanation:
Divide the earnings by the time.
179.4/6 = 29.9
418.6/14 = 29.9
867.1/29 = 29.9
