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koban [17]
3 years ago
15

9 − 5 = 1 /4 (16x + 60) show your work solve for x

Mathematics
1 answer:
leva [86]3 years ago
6 0

Distribute 1/4 to all terms within the parenthesis

9 - 5 = 4

1/4(16x + 60) = (16x + 60)/4 = 4x + 15

4 = 4x + 15

Isolate the x. Note the equal sign. What you do to one side, you do to the other.

Subtract 15 from both sides

4 = 4x + 15

4 (-15) = 4x + 15 (-15)

4 - 15 = 4x

-11 = 4x

Isolate the x. Divide 4 from both sides

(-11)/4 = (4x)/4

x = -11/4

hope this helps

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<h2><u>Answer</u><u> </u><u>:</u></h2>

\bigstar\boxed{\large\bf{\leadsto 6\:floors}}

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

\begin{gathered}\rm{ \underline{ \underline{ \red{Given}}}}\begin{cases}\sf{height\:of\:one\:floor\:of\:dollhouse =12.4\:in} & \\ \\\sf{Height\:of\: dollhouse=75\:in}&\end{cases}\\\\\end{gathered}

<h2><u>To </u><u>find </u><u>:</u></h2>

  • Total number of Floors in dool house

<u>➜</u><u> </u><u>Therefore</u><u> </u><u>,</u><u> </u><u>Total</u><u> </u><u>number</u><u> </u><u>of </u><u>floors</u><u> </u><u>can </u><u>be </u><u>find </u><u>out</u><u> </u><u>by </u><u>dividing</u><u> </u><u>the </u><u>total</u><u> </u><u>height</u><u> </u><u>of </u><u>dollhouse</u><u> </u><u>by </u><u>the </u><u>length</u><u> </u><u>of </u><u>one </u><u>floor</u>

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{=\cancel{ \dfrac{75}{12.5}}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\bf{= 6}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

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the answer is option e. *answer needs to be 20 characters long this should do :)

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