Answer:
The length of the third side is ( x - 2 )
Step-by-step explanation:
Volume of a box is the product of its length, width and height.
Volume of box = length × width × height.
One side is (x - 4) and another side is (2x + 1).
These given sides can be either length, height or width.
The volume of a box is given by V = 2x3-11x2 +10x +8. This means each of the sides are factors of the volume. To get the third side, we divide the volume by the product of the two given sides.
Product of the two given sides =
( x-4 ) (2x + 1) = 2x^2 + x - 8x + 4
= 2x^2 - 7x - 4
The long division is shown on the attached photo
The length of the third side is ( x - 2 )
Answer:
1) $350
2) 55°
3) $300
Step-by-step explanation:
1) The total cost is the cost of the appointment plus the cost of the repair work. The appointment costs $50. The repair work costs $120 per 2 hours. So the total cost is:
C = 50 + (120/2) t
C = 50 + 60t
For 5 hours of work, the cost is:
C = 50 + 60(5)
C = 350
It costs $350.
2) The temperature starts at 70°. It drops 10° in 4 hours. So the temperature after t hours is:
T = 70 + (-10/4) t
T = 70 − 2.5t
After 6 hours:
T = 70 − 2.5(6)
T = 55
The temperature is 55°.
3) Jennie's total pay is her weekly pay plus her commissions. If her commission is x% of her sales, then her pay is:
P = 250 + (x/100) S
When her sales is $1000, her pay is $275.
275 = 250 + (x/100) 1000
275 = 250 + 10x
25 = 10x
x = 2.5
So her pay is:
P = 250 + (2.5/100) S
When S = $2000:
P = 250 + (2.5/100) 2000
P = 250 + 50
P = 300
Her total pay is $300.
Answer: AB=7.74in.;m<A
=57*;m<B=33*
Step-by-step explanation
this symbol means degrees *
Answer:
<h2>x = 16.55</h2>
Step-by-step explanation:
1.06(12.95 + x) = 31.27
<u>Multiply the terms in the bracket</u>
That's
13.727 + 1.06x = 31.27
<u>Subtract 13.727 from both sides</u>
That's
13.727 - 13.727 + 1.06x = 31.27 - 13.727
1.06x = 17.543
<u>Divide both sides by 1.06</u>
That's
We have the final answer as
<h3>x = 16.55</h3>
Hope this helps you
Answer: $53
Step-by-step explanation:
17+ .09m = 9 + .11m
8 = .02m
m = 8/.02= 400 minutes for the two plans to cost the same
9+.11(400) = 9+ 44 = $53 when they cost the same
17+.09(400) = 17 +36 = $53
Please mark brainliest if it helped :)
