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blagie [28]
2 years ago
6

harmaine spent a total of $20 at the grocery store. Of this amount, $9 she spent on fruit. What percentage of the total did she

spend on fruit?
Mathematics
1 answer:
zheka24 [161]2 years ago
8 0

Answer:

45%

Step-by-step explanation:

First, let's set up a fraction of how much money she spent for fruit out of the total amount of money she spent.

\frac{9}{20}

For a percentage, we need a fraction out of 100. To do this, we can multiply  the fraction by 5/5 (5*20=100). Notice we can only do this since 5/5 is equivalent to 1, so you are technically multiplying the fraction by 1.

\frac{9}{20}*\frac{5}{5}=\frac{45}{100}

A percentage is just the numerator of a number over 100 therefore it is equal to...

45%

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3. The variance of a set of positive numbers p.(p-5).(p-2), (p-3) (2p-5)is 5.84.
sweet [91]

Answer:

(a) p = 7

Step-by-step explanation:

The given parameters are;

p, (p - 5), (p - 2), (p - 3), and (2·p - 5) is 5.84

(a) Therefore we have;

The mean of the numbers = (p + (p - 5) + (p - 2) + (p - 3) + (2·p - 5))/5 = (6·p - 15)/5

The mean of the numbers = (6·p - 15)/5 = 6/5·p - 3

Using an online tool, we have;

The variance = (p - (6/5·p - 3))² + ((p - 5) - (6/5·p - 3))² + ((p - 2) - (6/5·p - 3))² + ((p - 3) - (6/5·p - 3))² + ((2·p - 5) - (6/5·p - 3))²/5 = 4/25·p² - 4/5·p + 18/5 = 5.84

Therefore, we have;

4/25·p² - 4/5·p + 18/5 = 5.84

4/25·p² - 4/5·p + 18/5 - 5.84 = 0

4/25·p² - 4/5·p - 2.24 = 0

Using the quadratic formula, we have;

p = (4/5 ± √((4/5)² - 4× 4/25×(-2.24)))/(2 × 4/25)

Which gives;

p = 7, or p = -2

Given that the numbers are positive, we have the only solution as p = 7

6 0
3 years ago
What is the diamater of a circle<br> the area of a circle is 144π m^2
nadya68 [22]

Answer:

24 meters

Step-by-step explanation:

The area of a circle can be found using the following formula.

a=\pi r^2

We know that the area is 144pi m^2.

a= 144\pi m^2

Substitute 144pi m^2 in for a.

144\pi  m^2= \pi r^2

We want to find the diameter. First, we must find the radius. We have to get the variable, r,  by itself.

Divide both sides of the equation by pi.

144\pi  m^2/ \pi = \pi r^2 / \pi

144\pi  m^2/ \pi =  r^2

144 m^2= r^2

The variable, r , is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.

\sqrt{144 m^2} =\sqrt{r^2}

\sqrt{144 m^2} =r

12 m= r

The radius of the circle is 12 meters, but the question asks for diameter. The diameter is twice the radius.

d= r*2

The radius is 12 m.

d= 12 m*2

Multiply

d= 24 m

The diameter of the circle is 24 meters.

3 0
3 years ago
What is the length of side x? If necessary, round your answer to two decimal places.
Gnoma [55]
I hope this helps you

8 0
3 years ago
If the United States government lowers the income taxes on the wealthiest Americans, while decreasing welfare payments to the po
Reika [66]

Answer:

True

Step-by-step explanation:

The State gets money out of charging taxes. If they lower taxes they will have less budget, so they will need to cut on the budget. In this case, if they will lower taxes on the welthiest, then they will have more resources, and be richer.On the other hand, the poorest will be poorer since the state will spend less on them, in conclusion as wealthy people will get richer, and poor people poorer, equality will reduce, since the difference between the tails on the  distribution will increase.

On the other side, a financial process is said to be tax efficient if it is taxed at a lower rate than an alternative financial process that achieves the same end, so in this case, tax efficiency will increase

7 0
3 years ago
A cube which measures 27 inches on one side
ExtremeBDS [4]

Answer:

i wont steal your education so here To find the volume of any cube you need to know the length, width and height. The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times.

Step-by-step explanation:

8 0
3 years ago
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