Answer:
g = -3
Step-by-step explanation:
10g-4(g-2)+11=1
1) 10g-4g+8+11=1 Combine like terms
2) 6g+8+11=1
3) 6g+19=1
4) 6g=-18 To continue the process of getting the variable by itself, we have to get rid of 19. So we are going to subtract 19 from 19 to get 0, and whatever we do to the other side, so we subtract 19 from 1 to get -18.
5)6g=-18 To get the variable by itself, instead of mutiplying, we will divide by 6 on both sides to get... g=-3! Hope this helps!
Answer:
a. 12 feet b. 12 feet 0.5 inches c. 8.33 %
Step-by-step explanation:
a. How far out horizontally on the ground will it protrude from the building?
Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.
So, by ratios rise/run = 1/12 = 12/x
1/12 = 12/x
x = 12 × 12
x = 144 inches
Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet
b. How long should the ramp be?
The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.
So, L = √(12² + 144²)
= √[12² + (12² × 12²)]
= 12√(1 + 144)
= 12√145
= 12 × 12.042
= 144.5 inches
Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches
c. What percent grade is the ramp?
The percentage grade of the ramp = rise/run × 100 %
= 12 inches/144 inches × 100 %
= 1/12 × 100 %
= 0.0833 × 100 %
= 8.33 %
It would take 22 weeks to produce 429 wet suits
-51 and 714
Step-by-step explanation:
-23-38=-51
722-8=714
