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Usimov [2.4K]
3 years ago
15

Angie got some money for his birthday. He spent 1/5 of it on dog treats for his puppy. Then he divided the remainder equally amo

ng his 3 favorite charities. If he donated $60 to each charity, how much money did he receive for his birthday?
Mathematics
1 answer:
prohojiy [21]3 years ago
3 0

Answer:

225

Step-by-step explanation:

60 x 3 = 180  ($60 for each charity and there's 3 charities)

180 / (4/5) = 225  (if $180 is four fifths of his total just divide 180 by 4/5 to get the answer)

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Bumek [7]

Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

V=LWH

we have

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

substitute

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

5 0
3 years ago
Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Check all that apply.
mezya [45]
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6 0
3 years ago
I dont know how to solve this does anybody?
postnew [5]

Answer:

3x + 7 + 5

Step-by-step explanation:

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5 0
3 years ago
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A line segment connecting any two opposite Vertex of a quadrilateral​
Wewaii [24]

Answer:

As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices. For any convex polygon, all the diagonals are inside the polygon, but for re-entrant polygons, some diagonals are outside of the polygon.

Step-by-step explanation:

5 0
2 years ago
At the beginning of year 1, Lisa invests $500 at an annual compound interest
andrezito [222]

Answer:

the actual answer is a(n)= 500 * ( 1 + 0.03) ^(n - 1) ;$579.64

Step-by-step explanation:

5 0
3 years ago
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