Answer:
Step-by-step explanation:
This is a proportional question. If you learn how to keep things together, they are not only easy to do, they are mechanical: they are all done exactly the same way.
tanks of gas different tanks of gas
========== = ================
hours different hours.
initial tank of gas = 3/4 tank
initial hours = 9/2 = 4.5 hours
final tanks of gas = X
final time = 12 hours.
Solution
3/4 x
==== = ==============
4.5 12
Cross multiply
4.5x = 12*3/4 Combine the right
4.5x = 36/4 Simplify
4.5x = 9 Divide both sides by 4.5
x = 9/4.5
x = 2
So she will need 2 tankfuls.
To properly visualize the given, we transform them into equation form rather than words.
f(x) = sqrt (x)
g(x) = 8(sqrt(x))
From these, it may be observed that g(x) is 8 times of f(x). These transformation is in the value of y and is scaling. Because it is multiplied by a a whole number, the transformation is vertical scaling that involves multiplying the y-coordinate by 8.
You paid $4.76 total for 7 notebooks. To figure out how much each individual notebook cost, you divide the total cost by the number of things you bought, so
Cost of One Notebook = Total Cost of Notebooks / Number of Notebooks = $4.76 / 7 = $0.68
This is the unit rate.
To buy three notebooks, you just calculate the total cost of three notebooks at this price point, so
Cost of Three Notebooks = Cost of One Notebook * 3 Notebo0ks = $0.68 * 3 = $2.04
Answer:
x= -1
Step-by-step explanation:
3x-1=2x2 (calculate the product)
3x-1=4x (move terms)
3 x - 4 x =1 (collect the terms)
- x = 1 (change the signs)
Solution is x = -1
If James has 12 pairs of basketball shoes, then the ratio would be 3:4 which would stop at 3:12. Then the individual ratios would be 3:4, 6:8, and 9:12
So James has 9 pairs of running shoes
