Answer:
• 120 pints of 35% juice
• 30 pints of 60% juice
Step-by-step explanation:
You are asked to find the quantity of each kind of juice, and you are told the total quantity required. It is generally convenient to choose a variable to represent the quantity that makes the greatest contribution to the mix. Here, that is the 60% juice, so we can let q represent the quantity (in pints) required of that.
Then (150-q) is the quantity required of 35% juice.
The total amount of juice in the mix is ...
0.60q + 0.35(150 -q) = 0.40·150
0.25q = 150(0.40 -0.35) . . . . simplify, subtract 0.35·150
q = 150(0.05/0.25) = 30 . . . . pints of 60% juice
150-q = 120 . . . . . . . . . . . . . . . pints of 35% juice
120 pints of 35% juice and 30 pints of 60% juice are required to make 150 pints of 40% juice.
Answer:
5/7
Step-by-step explanation:
We need the Pythagorean Theorem here.
If you have a right triangle, you can use the equation a^2+b^2=c^2 where a and b are legs and c is the hypotenuse.
Plug in your information.
(3/7)^2+(4/7)^2=c^2
Simplify what you can.
9/49+16/49=c^2
25/49=c^2
Square root both sides.
5/7=c
Answer:
(x - 4) to the second power
Step-by-step explanation:
The cost for a company to manufacture "x"....
These statements tell you what X is. (The word cost refers to what the function will tell us. In other words C(x) = The Cost for the Company))
So as we keep going the problem goes onto:
.... bracelets
So the number of bracelets is X.
The function is: C(x)
And how functions work are quite simple. You plug in a number (x) and get out a number (y).
So, C(256) = 1536
So, they made 256 bracelets at a cost of 1536 dollars.
This is no different than if I said the function was:
C(x) = 6x
And then asked, what would the function equal when x = 256. It's the same thing, so don't let it trip you up!
Answer 1: 1536$
Answer 2: 256
The answer would be B simply because it sounds more reasonable.
