MATHEMATICS HIGH SCHOOL

The sum of two times a number and 5 more than the number is the same as the difference between -15 and twice the number. What is the number?

Answers

Answer 1

Answer:

(2x)(x+5) = 2x-15

4x^2 + 5x = 2x-15

4x^2 = 7x -15

16x = 7x - 15

16x + 15 = 7x

2 2/7 + 2 1/7 = x

x = 4 3/7

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Robert can paint a room in 6 hours. Julio can paint a room in 8 hours.how long will it take for the two of them to paint a room together?

Answers

Robert paints 1/6 of a room in an hour.
Julio paints 1/8 of a room in an hour.
Working together, they can paint (1/6 + 1/8) room/hour =

      (4/24 + 3/24) room/hour =

7/24 of a room per hour.

7/24 of a room per hour means

   24 hours / 7 rooms =

   (24 / 7) (hour/room) =   (3 and 3/7) hour per room.

1/6+1/8=1/x
1/6*(6*8*x)+1/8(6*8*x)=1/x(6*8*x)
8x+6x=48
14x=48
divide each by 14
x=48/14
x= 3.43 roughly

Can someone show me how to factor this? 5k-35

Answers

Sure.
Can you find a number that goes into both terms, 5k and 35 ?
How about 5 ?

(5k - 35) = 5 times (k - 7) .

$5k-35=5(k-7)$

Kent worked in the housewares section of a department store this year he set a record high for vacuum sales with 567 vacuum sold the previous high was last year when 540 vacuums were sold what is the percent of increased in sales from last year to this year?

Answers

The percent increase in vacuum sales from last year to this year is 5%. This means that there was a 5% increase in the number of vacuums sold this year compared to last year's sales.

To calculate the percent increase in vacuum sales from last year to this year, we can use the following formula:

Percent Increase = [(New Value - Old Value) / Old Value] * 100

Where:

New Value = 567 (vacuums sold this year)

Old Value = 540 (vacuums sold last year)

Now, let's plug in the values and calculate:

Percent Increase = [(567 - 540) / 540] * 100

Percent Increase = (27 / 540) * 100

Percent Increase = 0.05 * 100

Percent Increase = 5%

The percent increase in vacuum sales from last year to this year is 5%. This means that there was a 5% increase in the number of vacuums sold this year compared to last year's sales.

To know more about percent:

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One percent of 540 is 5.4 (540\100) now divide 567 by that number which gives you 105% take the original 100% away, it's an increase of 5%

Please answer question 14

Answers

there are 36 possibilities so
1,1
1,2
1,3
1,4
1,5
1,6
2,1
2,2
2,3
2,4
2,5
2,6
3,1
3,2
3,3
3,4
3,5
3,6
4,1
4,2
4,3
4,4
4,5
4,6
5,1
5,2
5,3
5,4
5,5
5,6
6,1
6,2
6,3
6,4
6,5
6,6

Michelle has some stamps.her sister has half as much stamps as she does.they have 1,080 stamps in all.how many stamps does Michelle have

Answers

Michelle has 2/3 of the total 1,080 stamps, so 1,080*2/3=720 stamps

What is 9.2 written as a mixed number simplest form

Answers

2/10 is 1/5 and when you add 9, which is 45/5, you get 46/5.

Answer: 9 1/5

9.2 written as a mixed number in simplest form is 9 1/5.

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