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3 years ago

What percent of 72 is 48 with step by step process

Mathematics

1 answer:

Sedaia [141]3 years ago

8 0

Answer:

67%

Step-by-step explanation:

There are a few methods to finding the percent of a number. You can use proportions:

$\frac{percent}{100}=\frac{48}{72}$

The 'percent' is the percent of the fraction that you are looking for, or 48/72.

Cross-multiply: 72x = (48)(100) or 72x = 4800

Divide both sides by 72: 72x/72 = 4800/72

Solve for 'x': x = 66.6666...

Round 66.666.... to the nearest percent: 67%

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A box contains 2 blue cards numbered 1 through 2, and 3 green cards numbered 1 through 3. List the sample space of picking a blu

Akimi4 [234]

Answer:

See explanation

Step-by-step explanation:

A box contains 2 blue cards numbered 1 through 2. Let them be named B1 and B2. This box also contains 3 green cards numbered 1 through 3. Let them be named G1, G2 and G3.

The sample space of picking a blue card followed by a green card is

B1, G1

B1, G2

B1, G3

B2, G1

B2, G2

B2, G3

So, there are 6 different outcomes in this sample space.

7 0

3 years ago

Read 2 more answers

the tens digit of a two digit number is 5 greater the units digit. If you subtract double the reversed number from it, the resul

likoan [24]

Given:

The tens digit of a two digit number is 5 greater the units digit.

If you subtract double the reversed number from it, the result is a fourth of the original number.

To find:

The original number.

Solution:

Let n be the two digit number and x be the unit digit. Then tens digit is (x+5) and the original number is:

$n=(x+5)\times 10+x\times 1$

$n=10x+50+x$

$n=11x+50$

Reversed number is:

$x\times 10+(x+5)\times 1=10x+x+5$

$x\times 10+(x+5)\times 1=11x+5$

If you subtract double the reversed number from it, the result is a fourth of the original number.

$11x+50-2(11x+5)=\dfrac{1}{4}(11x+50)$

$11x+50-22x-10=\dfrac{1}{4}(11x+50)$

$40-11x=\dfrac{1}{4}(11x+50)$

Multiply both sides by 4.

$160-44x=11x+50$

$160-50=11x+44x$

$110=55x$

Divide both sides by 55.

$\dfrac{110}{55}=x$

$2=x$

The unit digit is 2. So, the tens digit is $2+5=7$ .

Therefore, the original number is 72.

6 0

2 years ago

What is the volume of a sphere with surface area of 25 pi yd squared?

kherson [118]

$\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} SA=25\pi \end{cases}\implies 25\pi =4\pi r^2 \\\\\\ \cfrac{25\pi }{4\pi }=r^2\implies \cfrac{25}{4}=r^2\implies \sqrt{\cfrac{25}{4}}=r\implies \cfrac{\sqrt{25}}{\sqrt{4}}=r\implies \cfrac{5}{2}=r \\\\[-0.35em] ~\dotfill$

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad \qquad \implies V=\cfrac{4\pi \left( \frac{5}{2} \right)^3}{3}\implies V=\cfrac{4\pi \cdot \frac{125}{8}}{3}\implies V=\cfrac{\frac{500\pi }{8}}{~~\frac{3}{1}~~} \\\\\\ V=\cfrac{500\pi }{8}\cdot \cfrac{1}{3}\implies V=\cfrac{500\pi }{24}\implies V=\cfrac{125\pi }{6}\implies V\approx 65.45$