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elena-14-01-66 [18.8K]
3 years ago
14

Ms. Carey is planning to host a neighborhood picnic. To make sure she had enough ingredients, she was making a table of possible

combinations of dried fruit to peanuts for her terrific trail mix. The table shows the original recipe’s ratio of dried fruit to peanuts.
Dried Fruit

(oz)

Peanuts

(oz)

3



27

45



80
Mathematics
1 answer:
Anna71 [15]3 years ago
3 0

Answer:

558

Step-by-step explanation:

I can't say :>

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If 2/3 of amount x is 60, then what is 4/5 of x
frozen [14]
I think it's 72 then?
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3 years ago
4w+5z=30 solve for w
zepelin [54]

Answer:

w=\frac{30-5z}{4}

Step-by-step explanation:

4w+5z=30\\\\4w+5z-5z=30-5z\\\\4w=30-5z\\\\\frac{4w=30-5z}{4}\\\\\boxed{w=\frac{30-5z}{4}}

Hope this helps.

3 0
3 years ago
Work out the volume of the shape​
pashok25 [27]

Answer:

\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

V_c=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3

The formula of a volume of a sphere:

V_s=\dfrac{4}{3}\pi R^3

R - radius

Therefore the formula of a volume of a half-sphere:

V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3

We have R = 7cm. Substitute:

V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3

The volume of the given shape:

V=V_c+V_{hs}

Substitute:

V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3

7 0
3 years ago
Find the volume of the cone
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The volume is 800pi cubic feet

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3 years ago
Which equation represents this statement? Fourteen less than three times a number is fifty-two. A) 3x −14 = 52 B) 3x + 14 = 52 C
zalisa [80]

Answer:

A

Step-by-step explanation:

This sentences implies that to a number multiplied by 3 ( three times a number) 14 needs to be subtracted.

5 0
3 years ago
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