We assume the question is intended to say there are a total of 20 quarters, nickels, and dimes, the value of which is $2.05. The number of dimes is 3 times the number of quarters.
Let q, n, d represent the numbers of quarters, nickels, and dimes, respectively. Then you have three equations in the unknowns:
q +n +d = 20
25q +5n +10d = 205
-3q +d = 0
A calculator can give the solution to this matrix equation in short order. It is
q = 3
n = 8
d = 9
There are 3 quarters, 8 nickels, and 9 dimes.
_____
If you use the third equation to write an expression for d, you can substitute that into the other two equations.
q +n +3q = 20
25q +5n +10(3q) = 205
Simplifying, these are
4q +n = 20
11q +n = 41
Subtracting the first from the second, we find
7q = 21
q = 3
From there, it is easy to find d=9, n=8.
Answer:
2
Step-by-step explanation:
rise/run=y2-y1/x2-x1
3-1=2
1-0=1
2/1=2
The volume of the cone is 2880 m3.
The scale factor is 1/4.
The volume of the cone has the formula (1/3)π r² h.
A scale factor of 1/4 will reduce the dimensions by 1/4 which will result to a total volume reduction of (1/4)³ = 1/64
The new volume will be 45 m3
-3 is the answer you find slope by using Y2-Y1/X2-X1
9514 1404 393
Answer:
6 cm
Step-by-step explanation:
The area of the parallelogram is the same, either way you figure it.
A = bh
A = CD(length ⊥ to CD)
A = (9 cm)(8 cm) = 72 cm²
__
A = AD(length ⊥ AD)
72 cm² = (12 cm)(length ⊥ AD)
(length ⊥ AD) = (72 cm²)/(12 cm) = 6 cm
The perpendicular distance of AD from BC is 6 cm.
