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2 years ago

a recipe which yields 5 serving calls for 2 cups of milk. how many cups of milk are needed to make 9 servings?

Mathematics

1 answer:

riadik2000 [5.3K]2 years ago

3 0

Answer:

3.6 cups of milk

Step-by-step explanation:

Create a proportion where x is the number of cups of milk needed for 9 servings:

$\frac{5}{2}$ = $\frac{9}{x}$

Cross multiply and solve for x:

5x = 18

x = 3.6

So, 3.6 cups of milk are needed to make 9 servings.

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2 years ago

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>

<u />

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>

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

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10 months ago

Read 2 more answers

Describe how to write 3x+2y=12 in function notation. Assume that y represents the dependant variable.

kotegsom [21]

Im not so sure but, 3x2=6; 2x3=6; 6+6=12

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3 years ago

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Answer:

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Step-by-step explanation:

First we find the critical points:

x(x - 1)(x - 5) = 0

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Construct a Table of values:

x <0 0 >0 <0 0

x - 1 <0 -1 >0 <0 0

x - 5 < 0 0 > 0 <0 0

x(x-1)(x-5) < 0 0 >0 <0 0

So the answers are x =< 0 or 1 =< x <= 5.

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3 years ago

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JulijaS [17]

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2 years ago