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:
Julia has enough gas to mow the two yards.
Step-by-step explanation:
Given:
Julia needs 
gallon of gas to mow first yard.
Julia needs 
gallon of gas to mow second yard.
Julia has a total of 
gallon of gas in in her can.
To find whether she has enough to mow both yards.
Solution:
Total gallons of gas needed to mow two yards can be found out by :
⇒ 
Taking LCD =80.
⇒ 
⇒ 
Adding the numerators.
⇒ 
⇒ 1.2125 gallons
Julia has gallon = 1.5 gallons of gas in in her can.
Since 
, thus we can say that Julia has enough gas to mow the two yards.
The answer is B, the green is f(x)=x^2 and the red one is g(x)=f(2x).
Answer:
A
Step-by-step explanation:
You can probably figure out the rectangle of 16 by 8 so no explaining there. 16×8=128. You know that diameter of the cirkel is equal to y so 8. The diameter of a cirkel is two times its radius. so 8=2r. r=4. The area of a cirkel is calculated by the formula \pi×r^2. Fill in r=4 in \pi×r^2 gives us \pi×4^2=16\pi. You only have half of the cirkel so 16\pi/2=8\pi. 128+8\pi=153.12 which is A.
Answer:
Step-by-step explanation:
y = -x-3
y = x^2 + 4x + 1
x^2 + 4x + 1 = -x-3
x^2 + 5x + 4 = 0
Quadratic Formula
x = [-5±√(5²-4⋅1⋅4)]/[2⋅1] = [-5±√9]/2 = [-5±3]/2 = 1,-4
(x,y) = (1,-4) of(-4,1)
