Can someone help me please?
1 answer:
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Answer:
The ratio of parts water to parts lemon juice in lemonade is 5:2. If Quinten has 10 cups of lemon juice, how many cups of water will he need?
<u> A) 4</u>
B) 14
C) 25
D) 30
Step-by-step explanation:
In order to at least earn $90, Katie can work exercising horses for 6 hours and cleaning stalls for 6 hours.
Step-by-step explanation:
Let hours of exercising horses be x --> $5 per hour = 5x
Let hours of cleaning stalls be y --> $10 per hour = 10y
Total earning =
Total hours = 12
<u>Equation 1:</u>
5x + 10y =
<u>Equation 2:</u>
x + y
<em>1. Multiply equation 2 by -5</em>
x + y (*-5)
5x + 10y =
-5x - 5y
5x + 10y =
<em>2. Solve</em>
-5x + 5x -5y + 10y = -60 + 90
5y = 30
y = 6
x + y = 12
x + 6 = 12
x = 6
Therefore, in order to at least earn $90, Katie can work exercising horses for 6 hours and cleaning stalls for 6 hours.
Keywords: Simultaneous, hours, equations
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Step-by-step explanation:
To do this, we will substitute the x values to their corresponding equations,
1)
Given 2x + 15 = 19
Calculated 2x + 15 = 19
Given = Calculated, this solution is correct.
2)
Given 3 + x + 2 - x = 16
Calculated 3 + x + 2 - x = 5
Given not equal to calculated, this solution is incorrect.
3)
Given (x+2)/5 = 2
Calculated (x+2)/5 = 2
Given = Calculated, this solution is correct.
4)
Given 2x - 8 = 6
Calculated 2x - 8 = 6
Given = Calculated, this solution is correct.
5)
Given 1/3x + 5 = 14
Calculated 1/3x + 5 = 11
Given not equal to Calculated, this solution is not correct.
Therefore the Correct solutions are 1,3 and 4.