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Assoli18 [71]
2 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]2 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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<span>Let x be the number of songs downloaded.
Each song is $1.29; the total cost would be found by multiplying the cost by the number of songs, or 1.29x.
This cannot be more than 20, so we set this less than or equal to 20:
1.29x ≤ 20.

<u>To solve this, we divide both sides by 1.29: </u>
</span>\frac{1.29x}{1.29}<span> ≤ </span>\frac{20}{1.29}<span>;
x ≤15.5.

We <u>cannot download half of a song</u>, so we round this down to 15 (although the number rounds up mathematically, he would not have enough money to download 16 songs). This means he can download at most 15 songs.</span>
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2 years ago
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If y is the circumcenter is angle STU find each measure
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Answer:

Measures are SV=9 units., SY=14 units, YW=\sqrt75units , YW=\sqrt27units

Step-by-step explanation:

Given Y is the circumcenter of ΔSTU. we have to find the measures SV, SY, YW and YX.

As Circumcenter is equidistant from the vertices of triangle and also The circumcenter is the point at which the three perpendicular bisectors of the sides of the triangle meet.

Hence, VY, YW and YX are the perpendicular bisectors on the sides ST, TU and SU.

Given ST=18 units.

As VY is perpendicular bisector implies SV=9 units.

Also in triangle VTY

YT^{2}=VY^{2}+VT^{2}

⇒ 14^{2}=VY^{2}+9^{2}

⇒ VY^{2}=115

As vertices of triangle are equidistant from the circumcenter

⇒ SY=YT=UY=14 units

Hence, SY is 14 units

In ΔUWY, UY^{2}=YW^{2}+UW^{2}

⇒ 14^{2}=YW^2+11^{2}

⇒ YW^2=196-121=75 ⇒ YW=\sqrt75units

In ΔYXU, UY^{2}=YX^{2}+XU^{2}

⇒ 14^{2}=YX^2+13^{2}

⇒ YX^2=196-169=27 ⇒ YW=\sqrt27units

Hence, measures are SV=9 units., SY=14 units, YW=\sqrt75units , YW=\sqrt27units





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2 years ago
Rory is staying in a cabin on a hill 300 feet above sea level. She walks down the hill to the water’s edge. The equation of her
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x    y
1     290
2    280
3    270
4    260
5    250
6    240
7    230
8    220
9    210
10  200
11    90
12  180
13  170
14  160
15  150
16  140
17  130
18  120
19  110
20 100
21    90
22   80
23   70
24   60
25   50
26   40
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Answer:

I think its D

Step-by-step explanation:

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The possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2, 3 hours

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In a given week, she can work a maximum of 17 total hours and must earn a minimum of $180

Sofia worked 14 hours babysitting

Therefore,

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