Answer: you have to substitute them into the equation
Step-by-step explanation:
example: x = 2y - 6
lets say you test 4/5 so it would be 4 = 2(5) - 6
this equals 4 = 10 - 6 which is true
so that is how you test to see if the equation is right
remember the first number goes to "x" and the second one goes to y
hope this helps mark me brainliest if you can
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 %
Answer:
x=6
Step-by-step explanation:
3(x+2) = 24
Divide each side by 3
3/3(x+2) = 24/3
x+2 = 8
Subtract 2 from each side
x+2-2 = 8-2
x=6
Answer: 54
Step-by-step explanation:
63-9 you can't take 9 away from 3 so you must borrow, the 6 becomes a 5 and the 3 becomes 13. 13-9 is 4, bring the 5 down and you have 54.
Answer:
16n=16n or n=1
Step-by-step explanation:
5n + 11n = 16n add like terms
16n = 16n divide both sides by 16
n = 1
