What is the value of 10 rolls of quarters if there are 40 quarters in each roll?

Answers

Answer 1
Answer: (40 times 10)  the answer is 400
Answer 2
Answer: 1 roll __________ 40 quaters
10 rolls ________ x 

x = 10 . 40
x = 400 quaters 

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What is the slope of a line perpendicular to the following line?

-7y+ 8x=9

Answers

Answer:

m = -(7)/(8)

Step-by-step explanation:

Finding the slope of the given line

We need to find the slope of this equation to find the slope of a line perpendicular to it. This means we must solve for y.

Start off by subtracting 8x from both sides of the equation to start isolating the variable y.

-7y=9- 8x

Now solve for y by dividing both sides of the equation by -7.

y=(9-8x)/(-7)

This can be broken into two parts by distributing the negative sign from the -7 into the 9 and -8x like so:

y=(-9)/(7) +(8x)/(7 )

The slope of a line is the coefficient of x, so in this case the slope of the given line (-7y+8x=9) is (8)/(7).

Finding the slope of a line perpendicular to the given line

Two lines that are perpendicular would have opposite reciprocal slopes, which means the perpendicular slope would be the negative counterpart and would be flipped.

For example, if you have 2 as the slope of one of the perpendicular lines, the other line would be the opposite (-2) reciprocal (-(1)/(2)).

Therefore, since we have the slope of one of the perpendicular lines (the given line), we would find the opposite reciprocal of it's slope to solve this problem.

Slope: (8)/(7)

  • Opposite: -(8)/(7)
  • Reciprocal: -(7)/(8)

The slope of the line perpendicular to -7y+8x=9 is -(7)/(8).



12x−5y=−20
y=x+4

Answers

Answer:

12x-5(x+4)=-20

7x=0

x=0

so,y=4

ANSWER:

x=0

STEP BY STEP EXPLANATION:

1.) 12x-5y=-20
y=x+4

2.) 12x-5(x+4)=-20
*because you are taking the y= equation and putting that into 5y replacing the y.

3.) 12x-5x-20=-20
*because you multiply -5 by the x and the 4 and get -5x-20.

4.) 7x-20=-20
*because you subtract 5x from 12x because you are using like terms to make the equation smaller.

5.) 7x=0
*because you add the 20 on both sides to cancel out the 20 to get x closer to being by itself.

6.) x=0
*because you divide 7 on both sides to get x completely by itself.

The population of a city in 2005 was 18,000. By 2010, the city’s population had grown to 32,800. If the population growth follows a linear model, what is the projected population for 2015?

Answers

Well,

the rate is (32,800 - 18,000) = 14,800 per 5 years
therefore :
in 2015 = 2010 + 5 years
the pop. will be :
32,800 + 14,800 = 47,600

hope it' ll help !!

Find the product of this expression.
(a - 12)(a + 12) =​

Answers

Answer:

Combine like terms, a2−144

Step-by-step explanation:

Theo buys 5 packages of paper there are 500 sheets of paper in each package how many sheets of paper did theo buy????????

Answers

2,500 pieces of paper. Just multiply 5x500.
If there are 500 sheets of paper and there are 5 packages then you multiply 500 and 5 and get 2500

Describe how you can find the prime factorization of a number

Answers

I think it would be easier to understand when u see a problem worked out, prime factorization of 18:
18
/\
6X3
/\
3X2
so the prime factorization is 2X3X3
hope that was helpful! :D