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Assoli18 [71]
4 years ago
7

Mr. Scruggs got some money for his birthday. He spent 1/5 of it on dog treats. Then he divided the remainder equally among his t

hree favorite charities. What fraction of his money did each charity receive? If he donated $60 to each charity how much money did he receive for his birthday?
Mathematics
1 answer:
melamori03 [73]4 years ago
7 0
1/5 of money on dog treats.
divides 4/5 among his 3 favorite charities.

What fraction of his money did each charity receive?
1.3.../5.

If he donated $60 to each charity how much money did he receive for his birthday?
$60 x 3 = $180
+
1/5 of dog treats = $60.
=
$180+$60 = $240.
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under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box​
Anestetic [448]
<h2>3</h2>

Step-by-step explanation:

The equation of line passing through the two points is \frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}

When substituted,the equation becomes \frac{y-6}{x-2}=\frac{18-6}{6-2}

which when simplified is y=3\times x

The line clearly passes through origin.

The distance between two points is \sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}

Distance between origin and (2,6) is \sqrt{40}.

Distance between origin and (6,18) is \sqrt{360}

Scale factor is  \frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}

So,scale factor is \frac{\sqrt{360} }{\sqrt{40} }

which when simplified becomes 3.

6 0
3 years ago
Find the measure of arc YX in the inscribed angle C in the circle below
klasskru [66]

Answer:

Arc YX = 104°

Step-by-step explanation:

Arc YX + Arc YZ + Arc XZ = 360° (full circle = 360°)

Substitute

Arc YX + 110° + 146° = 360°

Arc YX + 256° = 360°

Arc YX = 360° - 256°

Arc YX = 104°

5 0
3 years ago
Plz help lol thx.....​
Nataliya [291]

Answer:

C

Step-by-step explanation:

the domain is the set of numbers that can be x values. in this case, the equation is linear so any number you plug in for x will give you a y value

5 0
3 years ago
But, during the same summer, teachers stopped wearing high heels; each of them became 4% shorter. Copy and fill in the chart. Te
alexgriva [62]

Answer:

It is given that,

'When the teachers stopped wearing heels, they became 4% shorter'.

So, the relation becomes,

<em>Height without heels = Height with heels - 4% of height with heels</em>

Then, we have,

1. Ms. Mathey is 190 cm with heels.

So, Ms. Mathey = 190-4% of 190 = 190 - 7.6 = 182.4 cm  without heels

2. Mrs. Meansy is 162.5 cm with heels.        

So, Mrs. Meansy =  162.5-4% of 162.5  = 162.5 - 6.5 = 156 cm  without heels

3. Ms. Cool is 140 cm with heels.

So, Ms. Cool = 140-4% of 140 = 140 - 5.6 = 134.4 cm  without heels

Also, the relation can be written as,

<em>Height with heels = Height without heels + 4% of height without heels</em>

4. Miss Short is 155.1 cm without heels

So, Miss Short = 155.1+4% of 155.1 = 155.1+6.2 = 161.3 cm with heels        

5. Miss Lora is 159.8 cm without heels

So, Miss Lora =  159.8+4% of 159.8  = 159.8+6.4 = 166.2 cm with heels

Thus, the final table is,

                          Height with Heels                Height without Heels

Ms. Mathey               190 cm                                       182.4 cm

Mrs. Meansy             162.5 cm                                    156 cm

Ms. Cool                   140 cm                                       134.4 cm

Miss Short                 161.3 cm                                      155.1 cm

Miss Lora                  166.2 cm                                     159.8 cm

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3 years ago
Four more than the quotient of 30 and a number
Nikolay [14]
\dfrac{30}{x}+4
6 0
3 years ago
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