We will represent everything in cents
nickles are worth 5 cents and dimes are 10 cents
n=number of nickles
d=number of dimes
60 total coins
n+d=60
total is 430 cents
5n+10d=430
divide both sides by 5
n+2d=86
we gots
n+d=60 and
n+2d=86
eliminate
multiply first equation by -1 and add to 2nd equation
-n-d=-60
<u>n+2d=86 +</u>
0n+1d=26
d=26
so
n+d=60
n+26=60
n=34
34 nickles and 26 dimes
Answer:
237 students graduated
Step-by-step explanation:
Subtract 172 from 409, obtaining 237.
237 students graduated
Squares are:
1. Equal on all 4 sides
2. All Have the same angle measure of 90 degrees
Cylinder Volume = <span><span>¼ • </span><span>π • d² • height</span></span>
<span>
12,464.27 = .25 * PI * 23^2 * height
height = </span><span>12,464.27 /</span><span> .25 * PI * 23^2 </span>
height = 12,464.27 /<span> .25 * PI * 529
</span>height = 12,464.27 / <span><span><span>415.4756284373
</span>
</span>
</span>
<span>
</span><span>height = 30 mm
The vertical cross-section would be 23 mm * 30 mm =
690 SQUARE millimeters (NOT cubed as the answer says).
answer is C
</span>
Using cross multiplication
(x-4)(x+2)=0
x-4=0
x+2=0
Thus x=4,-2
