Set up the ratio as fractions
(5/8) cup red / (2/5) cup yellow = r amount of red / 1 cup yellow
Then cross multiply the numbers and set up as a equation like this
(5/8) × 1 = (2/5) × r
(5/8) = (2/5)r
Multiply both sides of the equation by (5/2) to get rid of the fraction and solve for r
(5/2) × (5/8) = (2/5)r × <span>(5/2)
25/16 = r
Reduce down to 5/4 or change to a mixed number
1 and 1/4 cups = r</span>
1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"
means that if the monthly income of John is $ 5,000 ,he can spend at most
f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)
Or for example
if Johns monthly income is $8,000, then he can spend at most
f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)
2.
Now, assume that the maximum amount that John can spend is y.
Then, y=15,000+1.5x
we can express x, the monthly income, in terms of y by isolating x:
y=15,000+1.5x
1.5x = y-15,000
X=y-15,000/1.5
thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:
G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.
3.
If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000
dollars.
Answer: $ 30,000
Remark: g is called the inverse function of f, since it undoes what f does.
instead of g(x), we could use the notation
Answer:
If your money earns a 5 percent interest rate, it will triple in 23 years (115 divided by 5 equals 23).
Step-by-step explanation:
Answer:
46
Step-by-step explanation:
To solve this, add.
28 + 18 = 46
