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MArishka [77]
2 years ago
11

Students working at a refreshment stand mixed cranberry juice at $0.50 per liter and apple juice at $0.35 per liter to make 120

L of a fruit drink worth $0.40 per liter. How many liters of each did they mix?​
Mathematics
1 answer:
vaieri [72.5K]2 years ago
6 0

Answer:

40 L cranberry juice; 80 L apple juice

Step-by-step explanation:

Let x = number of liters of cranberry juice.

The total volume is 120 L, so the volume of apple juice is

120 - x.

The value of the cranberry juice is 0.5x.

The value of the apple juice is 0.35(120 - x).

The value of the mixture is 0.4(120) = 48

The value of the cranberry juice plus the value of the apple juice equals the value of the mixture.

0.5x + 0.35(120 - x) = 48

0.5x + 42 - 0.35x = 48

0.15x = 6

x = 6/0.15

x = 40

120 - x = 120 - 40 = 80

Answer: 40 L cranberry juice; 80 L apple juice

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denis23 [38]

Answer:

25.18%

Step-by-step explanation:

The problem is asking for the Annual Percentage Rate (APR). This rate refers to the interest rate that the person will be paying every year.

First, you need to get the 5% amount of cash from $2,410.

So, $2,410 × 5% (0.05) = $120.50

You have to subtract the answer from $2,410, in order to get the answer.

So, $2,410 - $120.50 = $2,289.50 (this refers to the 5% of the cash price)

Next, you have to get how much you have to pay per month, excluding the interest rate.

So, divide $2,289.50 by 36 months, the answer is $63.60 per month.

If you pay $85 per month, this means that you have to subtract $63.60 from $85 in order to get the amount of cash representing the interest rate.

So, $85 - $63.69 = $21.40 (the amount of cash representing the  interest rate)

Next, get the percentage of $21.40 from $85:

$21.40 ÷ $85 = 0.2518 or 25.18% (this is the monthly interest rate, which can also be considered the annual interest rate for the loan)

This explains the answer.

5 0
4 years ago
Find the slope of the line y=2
alexira [117]

Explanation: y=2 is a horizontal line, which has a slope of zero. x is the only variable that is changing, as y is always equal to 2 . Since we have no change in y , we have no "rise", therefore the slope is zero.

4 0
3 years ago
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What is the factorization of 49b2 − 81?
Ann [662]

Answer:

Step-by-step explanation:

49b² - 81 = (7b)² - 9 ²

by identity : 49b² - 81 = (7b -  9)( 7b + 9)

5 0
3 years ago
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5x = –25 + 5y <br><br> 10y = 42 + 2x
Novay_Z [31]
To solve this equation there are many ways you can do to solve. One way is to simply substitute one variable for another.

5x = 5y - 25
X = y - 5

10y = 42 + 2x
10y = 42 + 2(y - 5)
10 y = 42 + 2y - 10
8y = 32
Y = 4.

X = y - 5
X = 4 - 5
X = -1.

P(X,y) = P(-1,4). This would be the solution or the point where they would intersect.
3 0
3 years ago
Ritu is travelling by a car at a speed of
faltersainse [42]

Answer:

40 min is the answer

Step-by-step explanation:

To solve this we need to convert all the units into SI units

for ritu,

speed= 90km/hr

= 90 × 1km/ 1hour

= 90×1000/3600 m/s

= 25m/s

distance = 120×1000m

time = distance/ speed

= 120000/25

= 4800sec

= 4800/60min

= 80 min

for garima,

distance =120×1000m

speed = 60km/hr

= 60×1000/3600 m/s

=100/6 m/

time = 120000/(100÷6)

= 7200sec

= 7200÷60 min

= 120 min

time difference is 120-80 = 40 min

4 0
2 years ago
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