Let dimes = d and quarters =q
D + q = 50
D= 50-q
0.10d + 0.25Q = 7.70
Replace d with 50-q:
0.10(50-q) + 0.25q = 7.70
Simplify:
5 -0.10q + 0.25q = 7.70
5 + 0.15q = 7.70
Subtract 5 from both sides:
0.15q = 2.70
Divide both sides by 0.15:
Q = 2.70 / 0.15
Q = 18
D = 50-18 = 32
There are 32 dimes and 18 quarters
1. 4x - y = 8
4x = y + 8
Y = 4x - 8
2. 2x + 3y = 4
3y = -2x + 4
Y = -2/3x + 4/3
Answer:
l = 6 inches
Step-by-step explanation:
We have,
The volume of a rectangular prism with a square base is .
Height of the prism is 5 in
It is required to find the length of the edge of the square base. Let it is l.
The formula of the volume of the rectangular prism is given by :
A is area of base of prism
It has a square base, l =b
So, the length of the edge of the square base is 6 inches.
So, the first 10 suits came with a commission of 5%, so for each suit it was:
250*5%
this is
but this counts for 10 suits, so together his commssion was 10*12.5=125 dollars
and the "extra" 3 suits came with a comittion of 5+3 percent, so 8 percent, which is
for each suit, and 60 in total.
his total comission was 125+60=185 dollars.
These problems are based on the Pythagorean Theorem. The Pythagorean Theorem is a^2 + b^2 = c^2. If the two sides are equal, the triangle is a right triangle. If c^2 is less, the triangle is acute. If c^2 is more, the triangle is obtuse.
Obtuse: c^2 > a^2 + b^2
Acute: c^2 < a^2 + b^2
Right: c^2 = a^2 + b^2
#7 --- Obtuse
21^2 ___ 8^2 + 15^2
441 ___ 64 + 225
441 > 289
#8 --- Right
20^2 ___ 12^2 + 16^2
400 ___ 144 + 256
400 = 400
#9 --- Acute
6^2 ___ 4^2 + 5^2
36 ___ 16 + 25
36 < 41
Hope this helps!