Mrs. fuentes earns a salary of 60,000. ms. williams earns a salary of 51,000. mrs fuentes will receive a salary increase of 1,525 per year , and ms. willams will receive a salary increase of 2,525 per year. which equation can be used to find x, the number of years it will take mrs. fuentes and ms. williams to earn the same salary

( $2,525 - $1,525)x = $9,000

Step-by-step explanation:

Data provided:

Salary earned by Mrs. Fuentes = $60,000

Salary earned by Ms. Williams = $51,000

Increase in salary of Mrs Fuentes = $1,525 per year

Increase in salary of Ms Williams = $2,525 per year

since, x is the number of years after which their salary will be equal

Now,

Total salary of Mrs. Fuentes after x years = $60,000 + $1,525x

and,

Total salary of Ms. Williams after x years = $51,000 + $2,525x

also,

when their salaries are equal

$60,000 + $1,525x = $51,000 + $2,525x

or

$2,525x - $1,525x = $60,000 - $51,000

or

( $2,525 - $1,525)x = $9,000

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.