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Anon25 [30]
3 years ago
11

What can anika conclude about the scale factor and missing measurements ? Check all that apply

Mathematics
1 answer:
ki77a [65]3 years ago
3 0

We can see the ratio of a side big figure and small figure is 60:15 or 60/15 = 1/4.

In decimal form we can write 1/4 as 0.25.

Therefore, scale factor is 0.25.

So, second option is applicable. Please check second option :

<h3>The scale factor is 0.25.</h3>

Now, let us find the side A by multiplying by scale factor 0.25 of the big figure.

The corresponding side of A is 35.

Therefore, A is 0.25 × 35 = 8.75 cm.

Therefore, other applicable option is 3rd option.

<h3>The length of side A is 8.75 cm.</h3>
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Jim has only dimes and nickels in his coin bank. He has 37 coins with a total value of $2.65.
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Answer:

21

Step-by-step explanation:

Let x represent the number of dimes and y represent the number of nickels.  The total number of coins is 37; this gives us the equation

x+y = 37

Each dime is worth ten cents, or 0.10, and each nickel is worth five cents, or 0.05.  The total amount of money is given by

0.10x+0.05y = 2.65

This gives us the system

\left \{ {{x+y=37} \atop {0.10x+0.05y=2.65}} \right.

To solve this, we will use substitution.  We will isolate x in the first equation:

x+y=37

Subtract y from each side:

x+y-y = 37-y

x = 37-y

Substitute this into the second equation:

0.10(37-y)+0.05y = 2.65

Using the distributive property,

0.10(37)-0.10(y)+0.05y = 2.65

3.70-0.10y+0.05y = 2.65

Combining like terms,

3.70-0.05y = 2.65

Subtract 3.70 from each side,

3.70-0.05y-3.70 = 2.65-3.70

-0.05y = -1.05

Divide both sides by -0.05:

-0.05y/-0.05 = -1.05/-0.05

y = 21

There were 21 nickels.

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Step-by-step explanation:

<u>8 to the 3 power​ is</u>

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What is 8 times 6 times 10 equals
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