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4 years ago

When 60% of a number is added to the number, the result is 192. What is the number? Show your work.

Mathematics

1 answer:

Natali [406]4 years ago

7 0

Let the original number be
x

x
×
160
100
=
192
. This indicates an increase of 60%

x
=
192
×
100
160

x
=
120

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Semielliptical Arch Bridge An arch for a bridge over a highway is in the form of half an ellipse. The top of the arch is 20 feet

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Answer:

the span of the bridge is 73.7 feet

Step-by-step explanation:

The equation of an ellipse with a vertical major axis(i.e major axis parallel to y axis) is given by:

$\frac{(x-h)^{2} }{b^{2} } + \frac{(y-k)^{2} }{a^{2} }= 1$ a>b

where (h,k) are the coordinates of the center of the ellipse, a is the length of the major axis and b is the length of the minor axis

For this problem, the center of the ellipse (h,k) = (0,0)

Therefore:

$\frac{(x)^{2} }{b^{2} } + \frac{(y)^{2} }{a^{2} }= 1$

The top of the arch is 20 feet above the ground level (the major axis), therefore a=20

length of the major axis = 2a= 2*20 = 40

$\frac{x^{2} }{b^{2} } + \frac{y^{2} }{20^{2} }= 1\\\frac{x^{2} }{b^{2} } + \frac{y^{2} }{400 }= 1$

The coordinates of the ellipse (x,y) = (28,13)

$\frac{28^{2} }{b^{2} } + \frac{13^{2} }{400 }= 1$

$\frac{28^{2} }{b^{2} } + 0.4225= 1$

$\frac{784 }{b^{2} } = 0.5775$

b² ≅ 1358

b≅36.85

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the span of the bridge is 73.7 feet

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3 years ago

Why is 640 divided by 80 equal to 64 divided by 8?

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Because by dividing both equations you get an answer of 8 for both

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3 years ago

How to solve -2(1-7n)-5n=34

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-2(1-7n)-5n=34

Multiply the bracket by -2

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Move -2 to the other side. Sign changes from -2 to +2.

-2+2+9n=34+2

9n=34+2

9n=36

Divide by 9 for both sides

9n/9=36/9

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Answer: n=4

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3 years ago

Read 2 more answers

A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans an

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Answer: a) 15, b) 1.

Step-by-step explanation:

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