Answer:
-5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
45−(5+8y−3(y+3))=−3(3y−5)−(5(y−1)−2y+6)
45+−1(5+8y−3(y+3))=−3(3y−5)+−1(5(y−1)−2y+6)(Distribute the Negative Sign)
45+(−1)(5)+−1(8y)+−1(−3(y+3))=−3(3y−5)+−1(5(y−1))+−1(−2y)+(−1)(6)
45+−5+−8y+3y+9=−3(3y−5)+−5y+5+2y+−6
45+−5+−8y+3y+9=(−3)(3y)+(−3)(−5)+−5y+5+2y+−6(Distribute)
45+−5+−8y+3y+9=−9y+15+−5y+5+2y+−6
(−8y+3y)+(45+−5+9)=(−9y+−5y+2y)+(15+5+−6)(Combine Like Terms)
−5y+49=−12y+14
−5y+49=−12y+14
Step 2: Add 12y to both sides.
−5y+49+12y=−12y+14+12y
7y+49=14
Step 3: Subtract 49 from both sides.
7y+49−49=14−49
7y=−35
Step 4: Divide both sides by 7.
7y
7
=
−35
7
y=−5
Using proportions, it is found that:
- In an 8-hour day, she keys 48 pages.
- For a day, her gross earnings are of $72.
- For a week, her gross earnings are of 72 x 7 = $504.
<h3>Proportions:</h3>
This question is solved using the proportions given, which are:
- Payment of $1.50 per page of 30 lines.
- Retha keys 6 pages per hour.
Hence, in an 8-hour day, she keys 6 x 8 = 48 pages.
Since she earns $1.50 per page, for a day, her gross earnings are of 48 x 1.5 = $72.
Considering a week has 7 days, for a week, her gross earnings are of 72 x 7 = $504.
To learn more about proportions, you can take a look at brainly.com/question/24372153
Answer:
1/3 times x squared divided by 4 times pi times x.
Step-by-step explanation:
Hope this helps!
Answer:
43y
Step-by-step explanation:
31y+12y
combine like terms
Factor out y
y( 31+12)
y (43)
43y
