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Montano1993 [528]
4 years ago
13

What is the answer and how to work this problem? -3(x+5)=12

Mathematics
2 answers:
Arturiano [62]4 years ago
8 0

- 3x  -  3(5) = 12
- 3x - 15 = 12
- 3x = 12 + 15
- 3x = 27
x =  - 9
lidiya [134]4 years ago
4 0
Ok so first u distribute -3 to the (x+5).
which would get you -3x-15=12.
than you add 15 to both sides, so 12+15= 27.
so know we have -3x=27.
than you divide -3 to both side, so you get 27÷-3=-9, which makes x=-9
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Leno4ka [110]

Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}

<h3><u>Volume of a pyramid</u></h3>

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Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

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Therefore:

\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}

<h3><u>Volume of the garden shed</u></h3>

\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}

6 0
1 year ago
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The product of two consecutive integers is equal to 14 more than 4 times the sum. This can be simplified to x²-7x-18=0. What are
WITCHER [35]

Answer:

-1 and -2, or 9 and 10

Step-by-step explanation:

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Factor using AC method:

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x is the smaller integer, so the larger integers are -1 and 10.  Check each pair of solutions.

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2 = 2

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(9) (10) = 14 + 4 (9 + 10)

90 = 14 + 4 (19)

90 = 90

Both solutions work.

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