Answer:
52 quarters, 42 dimes
Step-by-step explanation:
Let's call the number of quarters q, and the number of dimes d.
q+d=94
0.25q+0.1d=17.20
Subtract q from both sides of the first equation to isolate d:
d=94-q
0.25q+0.1(94-q)=17.20
0.25q+9.4-0.1q=17.20
0.15q=7.8
q=52
d=94-q=42
Hope this helps!
If you would like to know which of the following steps should be performed to eliminate variable d first, you can find this using the following steps:
equation a: 2c = d - 8 /*(-3)
equation b: c = 3d + 8
__________________
-6c = -3d + 24
c = 3d + 8
__________________
-6c + c = -3d + 24 + 3d + 8
-5c = 32
5c = -32
c = -32/5
<span>The correct result would </span>be: <span>multiply equation a by −3.</span>
Answer:
(√9)^2x-1/2 = 1/81
3^2x-1/2 = 1/(3)⁴. (as √9 = 3)
3^2x-1/2 = 3^-⁴. (as 1/a^m = a^-m)
as base are equal exponents are equal
so 3 gets cancelled out
2x-1/2 = -4
(4x-1)/2 = -4
4x-1 = -8
x = -7/4
hope this helps
Step-by-step explanation:
Answer:
2x - y = -10
Step-by-step explanation:
Standard form: x + y = n
y - 4 = 2x + 6
y = 2x + 6 + 4
y = 2x + 10
2x - y = -10