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Jobisdone [24]
2 years ago
5

Please help me this is due! 7th grade math offering 20 points and might give brainly if I get more than one answer :)

Mathematics
2 answers:
kykrilka [37]2 years ago
8 0

Answer:

$98.90

Step-by-step explanation:

Let x = original price in dollars

x is the original price

9% of this original price is equal to 0.09x

subtract: x - 0.09x = 0.91x

The discount price is equal to 0.91x and it's equal to 90 dollars, so they must be the same value.

0.91x = 90

0.91x/0.91 = 90/0.91

x = 98.9010989

x = 98.90

So the original price is $98.90

Bezzdna [24]2 years ago
3 0

Answer:

I'm pretty sure it's $98.10

Step-by-step explanation:

$90*.09=8.1

90+8.1=98.1

which can also be written as $98.10

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3 years ago
Find the volume of the solid formed by revolving the region bounded by LaTeX: y = \sqrt{x} y = x and the lines LaTeX: y = 1 y =
Strike441 [17]

Answer:

The volume is:

\displaystyle\frac{37\pi}{10}

Step-by-step explanation:

See the sketch of the region in the attached graph.

We set the integral using washer method:

\displaystyle\int_a^b\pi r^2dx

Notice here the radius of the washer is the difference of the given curves:

x-\sqrt{x}

So the integral becomes:

\displaystyle\int_1^4\pi(x-\sqrt{x})^2dx

We solve it:

Factor \pi out and distribute the exponent (you can use FOIL):

\displaystyle\pi\int_1^4x^2-2x\sqrt{x}+x\,dx

Notice: x\sqrt{x}=x\cdot x^{1/2}=x^{3/2}

So the integral becomes:

\displaystyle\pi\int_1^4x^2-2x^{3/2}+x\,dx

Then using the basic rule to evaluate the integral:

\displaystyle\pi\left[\frac{x^3}{3}-\frac{2x^{5/2}}{5/2}+\frac{x^2}{2}\right|_1^4

Simplifying a bit:

\displaystyle\pi\left[\frac{x^3}{3}-\frac{4x^{5/2}}{5}+\frac{x^2}{2}\right|_1^4

Then plugging the limits of the integral:

\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(4)^{5/2}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]

Taking the root (rational exponents):

\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(2)^{5}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]

Then doing those arithmetic computations we get:

\displaystyle\frac{37\pi}{10}

6 0
3 years ago
Solve for m: m – 4.2 = 5.1
Fantom [35]

Answer:

M equals 9.3

Step-by-step explanation:

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4 0
2 years ago
0.45 plus 9x equals 27
oee [108]

Answer:

x = 2.95

Step-by-step explanation:

<u>Step 1:  Convert words into an expression</u>

0.45 plus 9x equals 27

0.45 + 9x = 27

<u>Step 2:  Solve for x</u>

0.45 + 9x - 0.45 = 27 - 0.45

9x / 9 = 26.55 / 9

x = 2.95

Answer:  x = 2.95

7 0
3 years ago
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Burka [1]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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