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anygoal [31]
3 years ago
15

At an end- of-season sale, a kid's pool was on sale for $168 . A sign advertised that this was 20% off the original price. What

was the original price?
Mathematics
2 answers:
Bogdan [553]3 years ago
7 0

Answer: $134.40

Step-by-step explanation: Just find 80% of 168. That is because 100 - 20 is 80. The question says 20% OFF.

uysha [10]3 years ago
4 0
Hi!,
The person who answered above made a mistake and went the wrong way.

Since the pool is already 20% off the price stated is only 80% (100-20=80) of the original price.

So, divide amount by 80.
168/80 = 2.10

Then multiply by 100 to find 100% price
2.10 x 100 = 210

Answer is $210
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5/3 X + 10/7 = 30/7<br><br> ¿como se resolveria?
julia-pushkina [17]

Answer:

12/7

Step-by-step explanation:

5/3x+10/7=30/7

5/3x=30/7-10/7

5/3x=20/7

x=(20/7)/(5/3)

x=(20/7)(3/5)

x=60/35

simplify

x=12/7

7 0
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
Write the quadratic equation in standard form: x^2+x=-4x^2+16​
Rainbow [258]

Answer

-3x^{2} +x+16=0

Step-by-step explanation:

4 0
3 years ago
Help pls and thank you :)
saul85 [17]
D (7) should be the correct answer.
6 0
3 years ago
Read 2 more answers
Can you step by step solve 20x+12=4x-16
Murljashka [212]

Answer:

x = - \frac{7}{4}

Step-by-step explanation:

Given

20x + 12 = 4x - 16 ( subtract 4x from both sides )

16x + 12 = - 16 ( subtract 12 from both sides )

16x = - 28 ( divide both sides by 16 )

x = \frac{-28}{16} = - \frac{7}{4} [ = - 1.75 ]

4 0
3 years ago
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