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g100num [7]
2 years ago
12

What is the scale factor in the dilation?

Mathematics
1 answer:
Bumek [7]2 years ago
8 0

The scale factor of the given dilation is 3.

Step-by-step explanation:

Step 1:

In order to determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In the given graph, the preimage has a length of 3 units while the image has a length of 9 units.

Step 2:

So here the measurement after scaling is the length of the image which is 9 units and the measurement before scaling is the preimages length of 3 units.

The scale factor =\frac{9}{3} = 3.

So the scale factor is the third option 3.

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X/a+x/b=1<br>make x the subject of the formular​
monitta

Answer:

x = \frac{ab}{b+a}

Step-by-step explanation:

Given

\frac{x}{a} + \frac{x}{b} = 1

Multiply through by ab to clear the fractions

bx + ax = ab ← factor out x from each term on the left side

x(b + a) = ab ← divide both sides by (b + a)

x = \frac{ab}{b+a}

8 0
3 years ago
A 15 ounce alloy containing 30% gold was mixed with an alloy containing 5% gold to get an alloy containing 20% gold. How many ou
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Answer:

4.5 % alloy

Step-by-step explanation:

Let x = amt of 30% alloy

The resulting total is to be 25 oz, therefore:

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A typical mixture equation:

.30x + .05(25-x) = .20(25)

.30x + 1.25 - .05x = 5 .30x - .05x = 5 - 1.25

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then

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Check solution

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4.5 + .5 = 5

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2 years ago
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