1. Write the equation:
d(-3 + x) = kx + 9
2. "Open" the parenthesizes:
-3d + dx = kx + 9
3. Take kx to the left side, -3d to the right, everything with different sign (+ replace with - when transferring, - replace with +):
dx - kx = 9 + 3d
4. Factor x in the left side:
x(d - k) = 9 + 3d
5. Finally, divide the whole equation by (d - k):
x = (9 + 3d)/(d - k)
That's the final answer. Good luck!
Answer:
9 times 59 is 531. 531+240= 771 she needs to work 59 hours.
Step-by-step explanation:
The answer:
8 times
Explanation:
If you divide 168 by 20, you get 8.4, and the whole number is 8 so that’s the answer.
Answer:
The original price of the shoes was $90.
Step-by-step explanation:
25% off means the price Joe paid for it is 75% of the original price.
Set up an equation:
75/100 = 67.50/x
Cross multiply
75 × x = 100 × 67.50
75x = 6750
x = 90
Check our work:
First solve for 25% off of 90 (our answer).
25% = 0.25
90 × 0.25 = 22.50
Next, subtract the discount from 90.
90 - 22.50 = 67.50
67.50 was what Joe paid so this is correct.
The first thing we must do for this case is find the scale factor.
We have then that for the larger side of both triangle, the scale factor is:

To find the other two sides, we must apply the scale factor on each side of the triangle FGH.
We have then:
For PQ
For QR
Answer:
You have that the lengths for the other two sides of triangle PQR are: