The value of the coin times the number of coins all added up equals the total value of the piggy bank
so
0.05n + 0.10d = 5.60
then they have given us "number of nickels is 8 less than 3 times the dimes"
this translates to
n = 3d - 8
we plug this into our first equation and we get
0.05(3d - 8) + 0.10d = 5.60
now we solve for d
first we can distribute the 0.05
0.15d - 0.40 + 0.10d = 5.60
then we can add the 0.15d and 0.10d together
and get
0.25d - 0.40 = 5.60
then we can add 0.40 to both sides
0.25d = 6.00
then divide both sides by 0.25
d = 6.00 / 0.25 = 24
so we have 24 dimes
then to find nickels, we plug in 24 for d into
n = 3d - 8
and get
n = 3(24) - 8
n = 72 - 8
n = 64
therefore we have
64 nickels
and
24 dimes
There are a few ways to go about doing this, but the easiest is portably to break it up into three shapes: two identical triangles, and a rectangle. The area of one triangle is:
1/2 (10x8) = 40, so the area of two triangles is 80.
The area of the square is 20 x 8, which is 160.
The total area is the sum of the two:
80 + 160 = 240, and this is your total area.
Answer:
-48.6
Step-by-step explanation:
Answer:
=8
Step-by-step explanation:
2²×2⁴÷2³
=2^2x2^{4-3}
=2^{2+4-3}
=2^3
=8
I hope this helps!
