Answer:
x = 7
Step-by-step explanation:
The proportion is
14/6 = 21/(3x - 12) Cross Multiply
14*(3x - 12) = 6*21 Remove the brackets and combine
42x - 168 = 126 Add 168 to both sides
42x = 126 + 168
42x = 294 Divide by 42
x = 294/42
x = 7
F(x) = g(x) for x = 1 and x = 3. Verify that for yourself.
Answer: x = 17/9
Step-by-step explanation: Lets solve for x.
9x - 5 = 12
9x - 5 + 5 = 12 + 5
9x = 17
9x/9 = 17/9
x = 17/9
Answer:
The distance from the top of her head to the floor is 6 feet 2 inches.
Step-by-step explanation:
In his case Juana's height is given to us with two kinds of units, feet and inches, in order to make our solution easyer we will transform her height to only inches. In 1 feet we have 12 inches, so we need to take the part of her height that is given in feet and multiply it by 12. We have:
height = 4*12 + 8 = 56 inches
Since she is in a platform that is 18 inches tall the distance from the top of her head to the floor is her height plus the height of the platform. We have:
distance = height + platform = 56 + 18 = 74 inches
We can now transform back to a mixed unit, we do that by dividing the distance by 12 that will be the "feet" part and the res of the division will be the "inches" part. We have:
distance = 74/12 = 6 feet 2 inches
The distance from the top of her head to the floor is 6 feet 2 inches.
Answer:
5/2 kg
Step-by-step explanation:
The ratio here is 2:6. 2 plus 6 is 8.
Then (2/8) times 10 kg represents the amount of compost needed; that comes to 20/8 kg, or 10/4 kg, or 5/2 kg.
