In the Chang family's budget, 0.6% of the expenses are for internet service. What fraction of the family's expenses is for internet service? Write the fraction in simplest form.

Answers

Answer 1
Answer:

Answer: (3)/(500)


Step-by-step explanation:

Let the family's expense be x

In the Chang family's budget, 0.6% of the expenses are for internet service.

Then expense for internet service=0.6 % of x

(0.6)/(100)*\ x\n=0.006x

The fraction of family's expense is for internet service =(0.006x)/(x)=(0.006)/(1)=(6)/(1000)=(3)/(500)

Hence the fraction of family's expense is for internet expense=(3)/(500)

Answer 2
Answer: percent means parts out of 100
0.6%=0.6/100=6/1000=3/500

te fraction is 3/500

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Find the percent of this number55% of 900

6% as a fraction or mixed number in simplest form

Answers

percent means parts out of 100
6%=6/100=3/50
mixed numers are normally greater than 1, this isn't so it is simply

6/100 or 3/50
\underline{\underline{\text{ 6\% as a fraction.}}} \n \n \boxed{6\%= (6)/(100) }

Jerry wonders "how many $10 bills are equal to a $1,000 bill?

Answers

100 bills, Jerry.
Jerry: " BUT WHY? "
Excellent question, Jerry, you forward thinker.
Well....
10x1=10
10x10=100
See how the product has the same number of zeros as the actual problem?
Look:
10x100 has 3 zeros.
The product is 1,000, which ALSO has 3 zeros.
So, to save yourself the trouble, just count the zeros.
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Deb had a board that measures 5 feet in length. How many 1/4-foot long pieces can deb cut from the board?

Answers

To do this, divide 5 by 1/4

You can also divide 5 by 0.25

And you get 20

Therefore,  Deb can cut 20 pieces!

Hope this helped!
 

What are the solutions of this system of equationThe first three steps in determining the solution set of the
system of equations algebraically are shown in the table.
y = -x2 +2x - 9
y = -6x + 6
(5,-24) and (3, -12)
(5,36) and (3, 24)
(-5, -24) and (-3, 12)
(-5, 36) and (-3, 24)
Step
Equation
-x² + 2x -9 = -6x + 6
0 = x2 – 8x+15
0 = (x - 5)(x-3)
2
Mark this and retum
Save and Exit
Sumber
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Answers

Answer:

(3,-12) and (5,-24)

Step-by-step explanation:

Given the system of two equations

\left\{\begin{array}{l}y=-x^2+2x-9\n y=-6x+6\end{array}\right.

Equate right sides of these two equations:

-x^2+2x-9=-6x+6

Rewrite this equation:

-x^2+2x-9+6x-6=0\n \n-x^2+8x-15=0\n \nx^2-8x+15=0\n \nx^2-5x-3x+15=0\n \nx(x-5)-3(x-5)=0\n \n(x-3)(x-5)=0\n \nx_1=3\ \text{or}\ x_2=5

If x=3, then

y=-6\cdot 3+6=-18+6=-12

If x=5, then

y=-6\cdot 5+6=-30+6=-24

You get two solutions (3,-12) and (5,-24)

The solution set of the system of equation is (5, -24) and (3, -12)

System of equations

The given systen of equation is one linear and one quadratic. Given the syatem of equations

y = -x^2 +2x - 9\ny = -6x + 6

Equating bothequations will give

-x^2 + 2x - 9 = -6x+ 6

Equate to zero

-x^2 + 2x - 9 + 6x - 6 =0\nx^2 - 2x +9 - 6x + 6 = 0\nx^2 - 8x + 15 = 0

Factorize

x^2 - 3x - 5x + 15 = 0\nx(x-3)-5(x-3) = 0\nx-5 = 0 \ and \ x - 3 = 0\nx = 5 \ and \ 3

Recall that ;

y = -6x + 6

If x = 5

y  = -30 + 6

y = -24

If x = 3

y =-6(3) + 6

y = -12

Hence the solution set of the system of equation is (5, -24) and (3, -12)

Learn more on system of equation here: brainly.com/question/25976025

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12 + 5x > 2 ( 8x - 6 ) - 7x

x > what number?

Answers

12 + 5x > 2(8x - 6) - 7x

12 + 5x > 16x - 12 - 7x

5x - 16x + 7x > -12 - 12

-4x > -24 / : (-4)

x < 6

12 + 5x > 2(8x - 6) - 7x

12 + 5x > 16x - 12 - 7x

5x - 16x + 7x > -12 - 12

-4x > -24 / : (-4)

x < 6

Which expression can be used to find 15% of 20?

Answers

Answer:

Expression:  0.15 * 20

Equation: 0.15 * 20 = 3

Step-by-step explanation:

This expression was found by dividing 15% by 100 to convert it into a decimal (0.15) that can be used to multiply with 20 to get your answer.

Answer:

0.15 × 20

Step-by-step explanation:

I got it right on edge