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3 years ago

1. (01.03 LC)

1 answer:

6 0

Taking into account the definition of percentage, the correct option is: 21 percent of her net pay is left for savings.

First of all, the percentage represents a given quantity that establishes relationships between two quantities, using the number 100 as a reference.

That is, the percentage indicates what part of a total represents a quantity.

To obtain the percentage, the division must be made between the portion of the total and the total amount that belongs to the set, whose result is multiplied by 100.

In this case, if Lillie's current monthly net pay and her monthly expenses are $ 387.10, and I assume that the rest of the money is saved by Lillie, then the amount of money saved is $ 490 - $ 387.10 = $ 102.9.

Then:

portion of the total= amount of money saved= $102.9
total amount= Lillie's current monthly net pay= $490

So, the percentage is calculated as:

percentage= (102.9÷490) ×100

percentage= 0.21×100

percentage= 21%

The correct option is: 21 percent of her net pay is left for savings.

Learn more about percentage with this examples:

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17 mm 8 mm 9 mm 15 mm

OleMash [197]

Answer:

do you have to add the numbers together or multiply

4 0

3 years ago

Read 2 more answers

Write the explicit formula for the geometric sequence.

My name is Ann [436]

Answer:

Step-by-step explanation:

the n th term ( explicit formula ) of a geometric sequence is

• $a_{n}$ = $a_{1}$ $(r)^{n-1}$

where r is the common ratio and $a_{1}$ the first term

here r = $\frac{8}{16}$ = $\frac{16}{32}$ = $\frac{1}{2}$ and $a_{1}$ = 64, hence

$a_{n}$ = 64 $(0.5)^{n-1}$ → D

8 0

4 years ago

The product of some negative number and 5 less than three times that number is 12. Find the number.

miv72 [106K]

(x)(3x - 5) = 12
3x^2 - 5x = 12
3x^2 - 5x - 12 = 0
(x - 3)(3x + 4) = 0
x = 3, -4/3
The answer must be negative so the number is -4/3.

Hope this helps!

4 0

4 years ago

The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, wo

andrew11 [14]

Answer:

24 children

Step-by-step explanation:

If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;

$y \alpha \frac{1}{x}\\y =\frac{k}{x}$

k is the constant of proportionality

If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6

Substitute:

6 = k/16

k = 6*16

k = 96

W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x

y = 96/4

y = 24

Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours

5 0

3 years ago

Juanita and lauren are painting a circular mural on one wall of the community center. The area of the mural is 33 square meters

tangare [24]

Answer:

The radius is 3.24102 meters

Step-by-step explanation:

We are given

area of mural is 33 m^2

Since, the shape of mural is circular

Let's assume radius of circle as 'r'

so, we can use area of circle formula

$A=\pi r^2$

now, we can set A=33

and then we can solve for r

$33=\pi r^2$

we get

$r^2=\frac{33}{\pi }$

$r=3.24102$

So,

The radius is 3.24102 meters

8 0

3 years ago