Answer:
the answer is the first choice .
Answer:
105 shifts
Step-by-step explanation:
Hourly net rate of pay = $12
1 shift = 8 hours
⇒ net pay per shift = $12 × 8 = $96
Total cost = tuition + residence + books
= $4500 + $4800 + $700
= $10,000
To calculate how many shifts Joanne needs to work, divide the total cost by the pay per shift and round it up:
Number of shifts = total cost ÷ net pay per shift
= $10,000 ÷ $96
= 104.1666666...
= 105 shifts
<u>Note</u>: we need to round up, as if Joanne works 104 shifts, she will earn $9,984 which is not quite enough to pay for tuition, residence and books.
Answer:
The answer is below
Step-by-step explanation:
The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 85% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 85% pure fruit juice?
Answer: Let x be the number of pints of the first fruit juice (i.e 65%) and y be the number of pints of the second fruit juice (i.e 90%).
Since the total number of pints to make the 85% pure fruit juice is 80, it can be represented using the equation:
x + y = 80 . . . 1)
Also, x pints of the first juice = 0.65x, y pints of the second juice = 0.9y and 80 pints of the mixture to be produced = 80(0.85) = 68. Therefore:
0.65x + 0.9y = 68 . . . 2)
We have to solve equation 1 and 2 simultaneously, first multiply equation 1 by 0.65 to get equation 3:
0.65x + 0.65y = 52 . . . 3)
Subtract equation 3 from 2 and solve for y:
0.25y = 16
y = 16/0.25 = 64
y = 64 pints
Put y = 64 in equation 1:
x + 64 = 80
x = 80 - 64 = 16
x = 16 pints
Therefore 16 pints of the 65% pure fruit juice, and 64 pints of the 90% pure fruit juice is required to make 80 pints of 80% fruit juice.
Answer: 20
explanation: simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers
