Let q be the number of 25 cent coins.
Let d be the number of 10 cent coins.
0.25q+0.10d= 3.95...(1)
q-d=6...(2)
(2)-> q-d= 6
q-d+d= 6+d
q= 6+d...(2a)
(2a)-> (1) 0.25q+0.10d=3.95
0.25(6+d)=0.10d= 3.95
1.95+0.25d+0.10d= 3.95
0.35d= 3.95-1.5
0.35d/0.35= 2.45/0.35
d= 7...(3)
(3)->(2) q-d= 6
q-7= 6
q=6+7
q= 13
There are 13 quarters and 7 dimes.
Answer:
1131.0 m³
Step-by-step explanation:
Using the formula for the volume of a cylinder, fill in the appropriate values and do the arithmetic.
V = πr²h
Since this formula needs the radius of the cylinder and you are given the diameter, you must divide the diameter by 2 to get the radius:
r = d/2 = (12 m)/2 = 6 m
Then the volume is ...
V = π(6 m)²(10 m) = 360π m³ ≈ 1131.0 m³ . . . . . rounded to tenths
Answer:
1031.25 =x
Step-by-step explanation:
50/24 = x /495
We can use cross products to solve
50 *495 = 24*x
24750 = 24x
Divide each side by 24
24750/24 =24x/24
1031.25 =x
Triangle= 180 degrees
Angle = 37.5 degrees
Supplement angle = 105 degrees
If you multiply the angle (37.5) by 2 and then add 30, it gives you 105. Then add 37.5 twice to make up the other two angles of the triangle and it gives you 180 total degrees as a triangle should.
The answer is the square root of (12^2 + 5^2), which is 13. You're correct
