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3 years ago

20 is what % greater than 5

1 answer:

7 0

Find how much greater 20 is than 5
20-5=15
the % is of 5, so the percent is percent out of 5

20 is x% of 5 greater than 5
20=(x%)5+5
minus 5 both sides
15=(x%)5
divide both sides by 5
3=x%
percent means parts out of 100
x%=x/100
3=x/100
times 100 both sides
300=x

answer is 300%

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uranmaximum [27]

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3 years ago

Apply the appropriate mathematical operation to solve this fulcrum problem.

ale4655 [162]

<h2>Hello!</h2>

The answer is:

The second distance ( $distance_{2}$ ) is equal to 7.5 feet.

Since we are given two forces acting at distance, torque will be created. We are given two forces and one distance, so, to calculate the other distance required to balance the system (solve this fulcrum problem), we need to write the following equation:

$Torque_{1}=Torque_{2}$

Where,

$Torque=F*Distance$

We are given,

$Force_{1}=Weight_{1}=150lb\\Force_{2}=Weight_{2}=30lb\\distance_{1}=15ft\\$

So, substituting and calculating, we have:

$Torque_{1}=Torque_{2}$

$Weight_{1}*distance_{1}=Weight_{2}*distance_{2}$

$150lb*15ft=300lb*distance_{2}$

$distance_{2}=\frac{150lb*15ft}{300lb}=7.5ft$

Hence, the second distance ( $distance_{2}$ ) is equal to 7.5 feet.

It's a logical solution since the second force is twice the first force and it means that the second distance must be equal to half the first distance in order to maintain the equilibrium condition.

Have a nice day!

8 0

3 years ago

A hiker climbs a 5-mile trail up a mountain in 2 hours. On the return trip downhill, she walks the same trail and returns to her

Ivahew [28]

Answer:

3.33 miles per hour

Step-by-step explanation:

The total distance traveled by the hiker is 5 * 2 = 10 miles, and the total time travelled is 2 + 1 = 3 hours.

So, to find the average speed of the entire trip, we can use the formula:

distance = speed * time

With distance = 10 and time = 3, we have:

10 = speed * 3

speed = 10/3 = 3.33 miles per hour.

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3 years ago

The triangular base of a prism is a right triangle with sides a and b. B= 2a. The height of the prism is 10mm and it's volume is

Olenka [21]

Answer:

Therefore,

The lengths of side a and b are,

$a=2\ mm\\b=4\ mm$

Step-by-step explanation:

Given:

Shape is of triangular prism.

Length = a

Width = b

Height = h =10 mm

Also, b = 2a

Volume of the Triangular Prism = 40 mm³

To Find:

a = ?

b =?

Solution:

Shape is of triangular prism. GIVEN

We Know that,

$\textrm{Volume of the Triangular Prism}=\dfrac{1}{2}\times Length\times Width\times Height$

Substituting the given values we get

$40=\dfrac{1}{2}\times a\times 2a\times 10\\\\2a^{2}=8\\\\a^{2}=4\\square\ rooting\\\\a=\sqrt{4}=2\ mm$

But ,

$b = 2a$ Given

Substituting a we get

$b = 2\times 2=4\ mm$

Therefore,

The lengths of side a and b are,

$a=2\ mm\\b=4\ mm$

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3 years ago

I need help with number 42 please

shusha [124]

Answer:

yes, it’s proportional

Step-by-step explanation:

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1 year ago