Matt's Ice Cream Shoppe has 7 cups of sprinkles to use on sundaes for the rest of the day. If each sundae is served with

Mathematics

2 answers:

otez555 [7]3 years ago

7 0

Easy just multiply 7 by 8 and you get 56

Keith_Richards [23]3 years ago

3 0

If They have 7 cups of sprinkles then you would need 1/8 of a cup for each Sundae, you would have to multiply 8 by 7 to find your answer.

Answer: Matt's Ice Cream Shoppe can serve 56 Sundaes

Hope this helps
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5 / 3 x + 1 / 3x equals 13 + 1 / 3 x + 8 / 3 x

NNADVOKAT [17]

Answer: x = - 12/9 ( the equation is negative)

Step-by-step explanation:

\frac{5}{3}x+\frac{1}{3}=13+\frac{1}{3}x+\frac{8}{3}x

\frac{5}{3}x=3x+\frac{38}{3}

\frac{5}{3}x-3x=3x+\frac{38}{3}-3x

-\frac{4}{3}x=\frac{38}{3}

3\left(-\frac{4}{3}x\right)=\frac{38\cdot \:3}{3}

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8 0

3 years ago

Read 2 more answers

Find the volume of the garden shed

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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From inspection of the given diagram, the slant height of the pyramid is 3.5 m.

Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

$\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}$

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>

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