-4
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-7
-8
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-10
-11
etcetera
Answer:
Width: 32 inches.
Length: 64 inches.
Step-by-step explanation:
Let's say that the width of the rectangle is x inches, so the length is 2x inches.
If 2x + 4 and x - 1, the perimeter is 198 inches. That means that two times the width plus two times the length is 198 inches.
2(2x + 4) + 2(x - 1) = 198
4x + 8 + 2x - 2 = 198
6x + 6 = 198
x + 1 = 33
x = 32.
That means that the width of the original rectangle is 32 inches, and the length is 32 * 2 = 64 inches.
Hope this helps!
Answer: 3
Step-by-step explanation: PEMDAS
First you multiple 1 and 4 then add 1 and subtract it by 2/
Answer:
The cashier has 23 dimes and 16 quarters.
Step-by-step explanation:
Let the amount of dimes = d.
And the amount of quarters = q.
We can write 2 equations with the given information.
d = q + 7 --- the amount of dimes is 7 more than the amount of quarters
0.1d + 0.25q = 6.3 --- a dime is 0.1 dollars and a quarter is 0.25 dollars
0.1(q + 7) + 0.25q = 6.3 --- we can substitute q + 7 for d because they have the same value and we need to have only 1 variable to solve
0.1q + 0.7 + 0.25q = 6.3 --- distribute multipliers outside the parenthesis
0.35q + 0.7 = 6.3 --- combine like terms
0.35q = 5.6 --- subtract 0.7 from both sides
q = 16 --- divide both sides by 0.35
The cashier has 16 quarters. We can use this to solve for dimes.
d = q + 7
d = 16 + 7
d = 23
The cashier has 23 dimes and 16 quarters.
0.1d + 0.25q = 6.3
0.1(23) + 0.25(16) = 6.3
2.3 + 4 = 6.3
6.3 = 6.3
The answer is correct.