Hi there!
To create an expression that uses the distribution property which can be simplified into 40 + 4x, we can find a factor between 40 and 4:
Since both 40 and 4 is divisible by 4,
40 / 4 = 10
4 / 4 = 1
We can put the 4 on the outside of the parenthesis, and put the quotients inside the parenthesis. And since the expression is in addition, we should include the addition symbol as the operation inside the parenthesis.
4(10 + x)
would be your answer.
Hope this helps!
Answer:
21 cupcakes
Step-by-step explanation:
6 = $7
18 = 6 x 3
18 = 7 x 3
18 = $21
D + q = 110......d = 110 - q
0.10d + 0.25q = 20.30
0.10(110 - q) + 0.25q = 20.30
11 - 0.10q + 0.25q = 20.30
-0.10q + 0.25q = 20.30 - 11
0.15q = 9.30
q = 9.30/0.15
q = 62 <==== there are 62 quarters
d = 110 - q
d = 110 - 62
d = 48 <==== there are 48 dimes
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Add '-1' to each side of the equation.
1 + -1 + 3d = 10 + -1
Combine like terms: 1 + -1 = 0
0 + 3d = 10 + -1
3d = 10 + -1
Combine like terms: 10 + -1 = 9
3d = 9
Divide each side by '3'.
d = 3
Simplifying
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30/78 simplified is 15/39
