What is

5 % of 170 is what number?

Darina [25.2K]

Answer: 3400

Step-by-step explanation:

We have, 5% × x = 170

or,

5

100

× x = 170

Multiplying both sides by 100 and dividing both sides by 5,

we have x = 170 ×

100

5

x = 3400

If you are using a calculator, simply enter 170×100÷5, which will give you the answer.

4 0

3 years ago

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What is 7√27+5√48 in simplified radical form?

Andreyy89

7√27 + 5√48

7 × 3√3 + 5√48

7 × 3√3 + 5 × 4√3

21√3 + 5 × 4√3

21√3 + 20√3

41√3 or 71.014

hope this helps, God bless!

3 0

4 years ago

the intensity, I, of light varies inversely as the square of the distance, D2 , from the light source. If I is 150 units when D

podryga [215]

$\bf \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{\underline{I} varies inversely with }\underline{D^2}}{I = \cfrac{k}{D^2}} \qquad \qquad \textit{we also know that } \begin{cases} I=150\\ D=6 \end{cases}$

$\bf 150=\cfrac{k}{6^2}\implies 150=\cfrac{k}{36}\implies 5400=k~\hfill \boxed{I=\cfrac{5400}{D^2}} \\\\\\ \textit{when I = 24, what is \underline{D}?}\qquad \qquad 24=\cfrac{5400}{D^2}\implies D^2=\cfrac{5400}{24} \\\\\\ D^2=225\implies D=\sqrt{225}\implies D=15$

5 0

4 years ago

Scientists discover two planets orbiting a distant star. The average distance from the star to Planet A is 4 AU, and it takes 43

Kitty [74]

Answer:

Option C - 9 AU

Step-by-step explanation:

To find : What is the average distance from Planet B to the star?

Solution :

According to kepler's law,

The squares of the sidereal periods (of revolution) of the planets are directly proportional to the cubes of their mean distances from the Sun.

i.e. $P^2\propto S^3$

We have given,

The average distance from the star to Planet A is $S_1=4$ AU.

It takes 432 Earth days for Planet A to orbit the star i.e. $P_1=432$

It takes 1,460 days for Planet B to complete an orbit i.e. $P_2=1460$

Substitute the values in $(\frac{P_1}{P_2})^2=(\frac{S_1}{S_2})^3$

$(\frac{432}{1460})^2=(\frac{4}{S_2})^3$

$0.0875=(\frac{4}{S_2})^3$

Taking root cube both side,

$\sqrt[3]{0.0875}=\frac{4}{S_2}$

$0.444=\frac{4}{S_2}$

$S_2=\frac{4}{0.444}$

$S_2=9.00$

The average distance from Planet B to the star is 9 AU.

Therefore, Option C is correct.

5 0

3 years ago

There are nine water bottles in Devin's refrigerator. He adds three full boxes of water bottles to the refrigerator. Then he ad

Juli2301 [7.4K]

The number of bottles in the full box by solving the equation is 12.

<h3>How to form an equation?</h3>

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the number of bottles in the full box = x

Initial bottles = 9

Bottles in 3 full box = 3x

Bottles in 2 box in which number of bottles is x - 1 = 2(x-1)

Now,

Total bottles in refrigerator is 67

So,

9 + 3x + 2(x - 1) = 67

9 + 3x + 2x - 2 = 67

5x = 60

x = 12

Hence "The number of bottles in the full box by solving the equation is 12".

For more about the equation,

brainly.com/question/10413253

#SPJ6

4 0

2 years ago

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