Answer:
g(10) = -37
Step-by-step explanation:
g(x)= -4x+3
g(1) means evaluate when x=10
g(10) = -4*10 +3
g(10) = -4*10 +3
g(10) = -40+3
g(10) = -37
For the first one, to find x, you are going to take that entire side which would equal to 180 and solve. 2x+20+55=180 would then go down to 2x+65=180 once you add the 20 and 55. Then subtract 65 to both sides and divide your final answer 115/2 which is x=57.5. For the second one it’s 4x-2+21=180, then you will subtract 2 from 21 and get 19. After you would subtract 19 by 180 and divide 4 by each side, getting x=40.25 as your final answer.
Answer:
7/4
Step-by-step explanation:
Answer: Armando used the wrong dimensions for the triangular prism.
Step-by-step explanation:
Hi, to answer this question we have to analyze Armando’s work.
Total Volume = Volume of rectangular prism + volume of triangular prism
Total Volume = 5 (8) (18) + one-half (6) (18) (8)
Total Volume= 720 + 432
Total volume = 1,152 cubic inches.
He made a mistake in the second step, where used h=8 for the triangular prism instead of h= 5 . (h=height)
The correct way to solve this is.
Total Volume = 5 (8) (18) + one-half (6) (18) (5)
Total Volume= 720 + 270
Total volume = 990 cubic inches.
Answer:97
Step-by-step explanation:
the average of the four integers is 394/4 = 98.5. So the four consecutive integers with a sum of 394 are the two integers closest to 98.5 and on each side of 98.5: 97, 98, 99, and 100.