MATHEMATICS
MIDDLE SCHOOL

Answer: 415 thousandths is written out 0.415

Answer: 0.415 is the answer to the question.

MIDDLE SCHOOL

The sum of a number and its square is 72. what is the number?

Any equation that has something squared in it always has two solutions.

The equation that you'd use to solve this problem is no exception.

You said that x² + x = 72

Subtract 72 from each side, and it says x² + x - 72 = 0

That's the equation to solve, and when you do, the value of 'x'

is the answer to your puzzler.

You can solve the equation using the quadratic formula, or even

by factoring if you can handle it that way.

(x + 9) (x - 8) = 0

x = -9

and

x = 8 .

Sure enough, they both work:

x = -9

x² = 81

x² + x = 81 - 9 = 72

x = 8

x² = 64

x² + x = 64 + 8 = 72

yay !

MIDDLE SCHOOL

Tyler reads 2/15 of a book on Monday 1/3 of it on Tuesday 2/9 of it on wensday,and 3/4 of the remainder on Thursday, if he still has 14 pages left to read on Friday, how many pages are there in the book

Answer:

129 pages.Step-by-step explanation:

Let's call the total number of pages.

He reads on Monday. There are 13/15 left.

on Tuesday. There are 2/3 left.

on Wednesday. There are 7/9 left.

Now, the remainder would be the difference between and all pages read at this point

So, 3/4 of this is

The sum of all pages read is

Therefore, there are around 129 pages.

Since Tyler read 3/4 of the remainder, that means 14 pages must be 1/4 of the remainder.

4x14=56 pages

Similarly, 56 pages should be the remainder after he read 2/9 of the book on wednesday.

So, 1-(2/15+1/3+2/9)=14/45

If 56 pages is 14/45 of the whole book,

The book is 180 pages.

4x14=56 pages

Similarly, 56 pages should be the remainder after he read 2/9 of the book on wednesday.

So, 1-(2/15+1/3+2/9)=14/45

If 56 pages is 14/45 of the whole book,

The book is 180 pages.

HIGH SCHOOL

Heeeeelpppp!!!! A 45° sector in a circle has an area of 43.2 cm².

What is the area of the circle?

So remember that a circle has 360 degreesef

45 out of 360 is th fraction that 43.2 is out of the whole circle

45/360=43.2/whole

0.125=43.2/whole

multiply both sides by whole

0.125 times whole=43.2

divide both sides by 0.125

whole=345.6

answer is 345.6 cm^2

45 out of 360 is th fraction that 43.2 is out of the whole circle

45/360=43.2/whole

0.125=43.2/whole

multiply both sides by whole

0.125 times whole=43.2

divide both sides by 0.125

whole=345.6

answer is 345.6 cm^2

HIGH SCHOOL

Ashley's penny bank is 1/3 full. After she removes 240 pennies, it is 1/9 full. How many pennies can Ashley's bank hold?

Find change or loss

1/3 to 1/9

make denom 9

1/3 times 3/3=3/9

from 3/9 to 1/9 is change of 2/9

so, 240 was removed

240=2/9 of the bank

times both sides by 9/2

2160/2=18/18 of the bank

1080=bank

can hold 1080 pennies

1/3 to 1/9

make denom 9

1/3 times 3/3=3/9

from 3/9 to 1/9 is change of 2/9

so, 240 was removed

240=2/9 of the bank

times both sides by 9/2

2160/2=18/18 of the bank

1080=bank

can hold 1080 pennies

X = total amount in her bank

1/3x - 240 = 1/9x

1/3x - 1/9x = 240

3/9x - 1/9x = 240

2/9x = 240

x = 240 / (2/9)

x = 240 * 9/2

x = 2160/2

x = 1080

1/3x - 240 = 1/9x

1/3x - 1/9x = 240

3/9x - 1/9x = 240

2/9x = 240

x = 240 / (2/9)

x = 240 * 9/2

x = 2160/2

x = 1080