What is the gcf of 2,4a

Christopher can paint the interior of his house in 15 hours. if he hires cynthia to help him they can do the same job together i

jenyasd209 [6]

If Christopher can paint his whole house in 15 hours, then he can get 1/15 of the job done in a single hour. If he hires Cynthia to help and they get the job done together (the sum of their efforts) in 9 hours, they can get 1/9 of the job done in a single hour. We are looking for how long Cynthia would take to do it on her own. Remember we are adding their efforts together and setting that equal to the total, so the equation is $\frac{1}{15}+\frac{1}{x}=\frac{1}{9}$ . What we are going to do here, what makes the most sense in solving for x, is to move the term with x in it to the other side of the equation and move the 1/9 over by subtraction. $\frac{1}{15}-\frac{1}{9}=-\frac{1}{x}$ . Of course before we can subtract those 2 fractions we need a common denominator, which happens to be 45: $\frac{3}{45}-\frac{5}{45}=-\frac{1}{x}$ and $-\frac{2}{45}=-\frac{1}{x}$ . We will cross multiply to get 2x = 45 and divide to find that it takes Cynthia 22.5 hours to do the job if she had to do it alone.

7 0

3 years ago

Compare 1⁄2 with 3⁄4 using ( <, >, =). A. 1⁄2 > 3⁄4 B. None of the above C. 1⁄2 = 3⁄4 D. 1⁄2 < 3⁄4

vampirchik [111]

1/2 = 2/4;
Compare 2/4 with 3/4;
Because 2 < 3, we have 2/4<3/4;
Finally, 1/2<3/4;
The correct answer is D.

3 0

3 years ago

Read 2 more answers

The ordered pair (x – 3, y + 1) was used to translate an object. To find the pre-image of the object, you would need to move ___

lisov135 [29]

B. three units down and one unit right

x minus will always translate down, x plus will always translate up.

y minus will always translate left, y plus will always translate right.

8 0

3 years ago

A small town's phone numbers either begin 373 or 377. How many phone numbers are available?

ser-zykov [4K]

Answer:

There are 20,000 number available.

Explanation:

To determine how many phone numbers are available you need to know how many digits the number contains.

I will assume the same number of digits for other similar questions, i.e. 7.

With 7 digits, the numbers that begin with 373 or 377 can be of the form 373XXXX or 377XXXX.

Where each X can be any digit 0 - 9. Then, there are 10 different options for each X.

Thus, there are 10×10×10×10 = 10,000 different numbers starting with 373 and other 10,000 different numbers starting with 377.

In total, there are 20,000 numbers available.

6 0

3 years ago

96.3cm measured to the nearest tenth of a cm

Anarel [89]

Answer:

100cm

Step-by-step explanation:

the tenths of cm are 10,20,30 etc.

6 0

2 years ago