Inequalities help us to compare two unequal expressions. The shaded potion can be made as shown below.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Rita does a weekly exercise program consisting of cardiovascular work and weight training. Each week, she exercises for at least 11 hours. She spends at most 7 hours on weight training. She spends at most 8 hours doing cardiovascular work.
Therefore, For the given condition let x denote the time (in hours) that Rita spends doing cardiovascular work. Let y denote the time (in hours) that she spends on weight training.
Now, the inequalities can be written as,
x + y > 11
x ≤ 7
y ≤ 8
Hence, the shaded potion can be made as shown below.
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Answer:
The number of liters for container R = x = 0.5 liters
The number of liters for container S = y = 1.5 liters.
Step-by-step explanation:
Let the number of liters of container R = x
Let the number of liters of container S = y
We are told in the question : that
Container R holds a solution that is 20% alcohol
= 20% × x = 0.20x
Container S holds a solution that is 60% alcohol.
= 60% × y = 0.60y
How many liters of solution from each container should be used to create 2 liters of solution that is 50% alcohol?
Hence;
x + y = 2 ....... Equation 1
x = 2 - y
0.20x + 0.60y = 2 × 50%
0.20x + 0.60y = 1........ Equation 2
Substitute
2-y for x in Equation 3
0.20(2 - y) + 0.60y = 1
0.40 - 0.20y + 0.60y = 1
Collect like terms
0.40y = 1 - 0.40
0.40y = 0.60
y = 0.60/0.40
y = 1.5 liters
Note that :
x = 2 - y
x = 2 - 1.5
x = 0.5 liters
Therefore,
the number of liters for container R = x = 0.5 liters
the number of liters for container S = y = 1.5 liters.
The cost is what the manufacturer spends to make something
Answer:
Your correct answer Is 7,9 4,8 5,9 4,8 I hope this is not for an important test Or U might make an F
Step-by-step explanation:
Answer:
x≥11
Step-by-step explanation:
X≥18-7=
x≥11