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svet-max [94.6K]
3 years ago
13

Donna makes $9.75 per hour at her job. Kaylee makes $4 per hour at her job, and she receives a $0.25 raise each month.

Mathematics
1 answer:
Korvikt [17]3 years ago
8 0

Answer:

The number of months it will take for Kaylee to make as much as Donna is 23 months

Step-by-step explanation:

Here we have amount Donna makes = $9.75/hour

Amount Kaylee makes = $4/hour with $0.25 monthly raise

Therefore, number of months, Y before Kaylee makes as much s Donna is given by the following expression;

4 + Y × 0.25 = 9.75

0.25·Y = 9.75 - 4 = 5.75

Therefore, \ Y = \frac{5.75}{0.25} =23 \ months

That means in 23 months, Kaylee will make as much as Donna per hour.

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590

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For the point P(-25,10) and Q​,(-18,15) find the distance​ d(P,Q) and the coordinates of the midpoint M of the segment PQ.
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Step-by-step explanation:

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2 years ago
There are two similar purses. The blue purse has a volume of 837 cm? and the red purse has a volume of 248 cm3, If the width of
Sunny_sXe [5.5K]

The width of the blue purse that is similar to the red purse is approximately 50.6 cm.

<h3>How to Determine the Linear Measurement and Volume of Similar Solids?</h3>

If two solids, A and B, has a linear measure a and b respectively, and they are both similar to each other, the ratio of their volumes and their linear measures would be expressed as:

Volume of solid A/volume of solid B = a³/b³.

We are given two purses that are similar to each other:

Volume of Blue purse = 837 cm³

Volume of Red purse = 248 cm³

Width of Red purse = 15 cm

Let width of Blue purse be = x

Therefore we would have the following ratio:

Volume of blue purse/volume of red purse = (width of blue purse)³/(width of red purse)³

Plug in the values

837/248 = x/15

Cross multiply

(248)(x) = (837)(15)

248x = 112,555

Divide both sides by 248

248x/248 = 112,555/248

x = 50.6 cm

The width of the blue purse is approximately 50.6 cm.

Learn more about volume of similar solids on:

brainly.com/question/16599646

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3 0
1 year ago
12. For triangle MNP shown, find the value of x
amm1812

Answer:

x=36\°\\\angle P=71 \°,\angle N=73 \°,\angle M=36 \°

Step-by-step explanation:

Given:

The triangle is shown below.

We know that the sum of all interior angles of a triangle is equal to 180°.

Therefore,

\angle M+\angle N+\angle P=180 \°\\\\x+2x+1+2x-1=180\°\\\\5x=180\°\\\\x=\frac{180}{5}\\\\x=36\°

Now, plugging the value of 'x' in each angle measure and determining its values. We get:

\angle M=x=36\°\\\angle P=2x-1=2(36)-1=72-1=71\°\\\angle N=2x+1=2(36)+1=72+1=73\°

Therefore, the value of 'x' is 36° and the measure of the three angles are 36°, 71° and 73°.

8 0
3 years ago
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