You need to come up with an array of answers for x and y that will be greater than 0.
x+4y>0. example if x is -1 and y is 1 will this be correct.
-1+(4*1)>0, -1+4>0. 3>0? Yes
if x is 1 and y is -1 then the equation becomes 1+(-4)>0 -3 is not>0 so it's not in the array
x could be -3 and y 1
You will plot a line to show all the answers.
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The given expressions are :
Answer: 2 lbs of cherries
Cherries = $5 per pound
Oranges = $2 per pound
Total Cost = $18
Total weight = 6 lb
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Define x and y
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Let x be the number of lb of cherries
Let y be the number of lb of oranges
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Construct equations
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x + y = 6 ---------------------------- (1)
5x + 2y = 18 ---------------------------- (2)
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Solve x and y
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From equation (1):
x + y = 6
x = 6 - y
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Substitute x = 6 - y into equation 2
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5x + 2y = 18
5 (6 - y) + 2y = 18
30 - 5y + 2y = 18
3y = 30 - 18
3y = 12
y = 4
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Substitute y = 4 into equation (1)
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x + y = 6
x + 4 = 6
x = 2
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Find the weight of cherries and oranges
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Cherry = x = 2 lb
Oranges = y = 4 lbs
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Answer: Alex bought 2 lb of cherries
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Answer:
There are 21 blue marbles
Step-by-step explanation:
In this question, we are asked to calculate the number of blue marbles in a bag that contains a total of 60 marbles, given the probability of choosing a blue marble.
Mathematically, the probability of choosing a blue marble can be represented as:
P(B) = number of blue marbles/ Total number of marbles
From the question, we can identify that P(B) is 0.35, number of Marbles is unknown while the total number of marbles is 60.
We insert these values in the equation;
0.35 = number of blue marbles/60
Hence, number of blue marbles = 60 * 0.35 = 21
