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vampirchik [111]
3 years ago
12

Two boys want to balance a seesaw perfectly. One boy weighs 240 pounds and is sitting four feet from the fulcrum. The other boy

weighs 160 pounds. Where should the lighter boy sit to balance the seesaw?
Mathematics
1 answer:
kumpel [21]3 years ago
6 0

Answer:

Step-by-step explanation:

Two boys want to balance a seesaw perfectly. One boy weighs 240 pounds and is sitting four feet from the fulcrum. The other boy weighs 160 pounds. Where should the lighter boy sit to balance the seesaw?

We solve using the formula

Distance on the fulcrum × Weight of the boy

= 4 × 240 = x × 160

4 × 240 = 160x

x = 4 × 240/169

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Step-by-step explanation:

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we conclude that:

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Step-by-step explanation:

A dilation is a transformation which generates an image that is the same shape as the original object but in a different size.

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For example, if we multiply the measure of the coordinates of the vertex A(2, 2) of a triangle by a scale factor of 2, the image A' is stretched as the scale factor > 1.

Dilation with scale factor 2, multiply by 2.

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So, the image point A'(4, 4) is enlarged.

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A cosmetic company makes three bottles of scented lotion using the recipe shown. Each bottle holds a different amount of lotion.
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Answer:

Part 1) Bottle 1 (vanilla=1,almond=3,pineapple=4)

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Step-by-step explanation:

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x ----> the amount of vanilla sent

y ----> amount of almond sent

z ----> the amount of pineapple sent

we know that

x:y:z=\frac{1}{8}:\frac{3}{8}:\frac{1}{2}

so

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\frac{y}{z}=\frac{3}{4}

y=\frac{3}{4}z -----> equation C

Part 1) Bottle 1

vanilla=?

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we have

z=4

<em>Find the value of x</em>

substitute the value of z in equation B

x=\frac{1}{4}(4)

x=1

<em>Find the value of y</em>

substitute the value of z in equation C

y=\frac{3}{4}(4)

y=3

therefore

<em>Bottle 1</em>

vanilla=1

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vanilla=?

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we have

y=6

<em>Find the value of x</em>

substitute the value of y in equation A

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<em>Find the value of z</em>

substitute the value of x in equation B

2=\frac{1}{4}z

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convert to mixed number

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<em>Find the value of z</em>

substitute the value of x in equation B

\frac{3}{2}=\frac{1}{4}z

z=6

therefore

<em>Bottle 3</em>

vanilla=1 1/2

almond=4 1/2

pineapple=6

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