Use a number line to help, or a tape diagram.
Answer:
A.) 12 3/4 cups
B.) 117 1/3
Step-by-step explanation:
<u>Part A</u>
If one serving of ice tea contains 3/4 cup of water, how much does 7 serving have?
To answer this, you must multiply 3/4 and 17
17 is the same as 17/1, so multiply the numerators and denominators
17 x 3 = 51
1 x 4 = 4
51/4 = 12 3/4
So, Leon used 51/4 or 12 3/4 cups of water
<u>Part B</u>
If the cooler has 88 servings of tea, how many cups of water does it have?
To solve this, divide 88 by 3/4
Dividing 88 by 3/4 is the same as multiplying 88 by 4/3.
Again, 88 is the same as 88/1 so multiply the numerators and the denominators.
88 x 4 = 352
1 x 3 = 3
352/3 = 117 1/3
So, there are 352/3 or 117 1/3 cups of water in the cooler
I hope this helps!
Answer:
direct
Step-by-step explanation:
The standard form of an equation representing direct variation is
y = kx ← k is the constant of variation
The standard form of an equation representing inverse variation is
y = 
← k is the constant of variation
y = - 
x ← represents direct variation with k = -
Answer:
The fourth answer choice is the correct one: 2(x - 3)
Step-by-step explanation:
2x²-18x+36/x-6 should be factored, as follows:
2(x²-9x+18) / (x-6) = 2(x - 3) (x - 6) / (x - 6)
Substituting x = 6 would result in division by zero and is thus not allowed.
Remembering this, we can reduce 2(x - 3) (x - 6) / (x - 6) to 2(x - 3) for x≠6.
Answer:
y = 10√16) = 40
Step-by-step explanation:
This says, "y is proportional to the square root of x." We are told that y = 60 when x = 36. Find the formula for this function. Then, determine what value y will take on when x = 16.
y = k√x becomes 60 = k√36, or 60 = 6k. Then k must be 10, and the formula is y = 10√x.
If x = 16, y = 10√16) = 40
