Answer:
x+y=12
Step-by-step explanation:
First, substitute 3y for the spots with x:
2(3y) + 2y = 24
6y+ 2y = 24
8y= 24
y= 3
Then sub in 3 in the y place:
x= 3(3)
x= 9
Then plug in the x and y values in the equation:
9 + 3 =12
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Answer:
$260
Step-by-step explanation:
Turn the percentage into a decimal.
35% -> 0.35
Multiply.
400 * 0.35 = 140
Subtract.
400 - 140 = $260
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Answer:
9
Step-by-step explanation:
Answer: 37 kilograms of walnuts should be mixed.
Step-by-step explanation:
Let x represent the number of kilograms of peanuts needed to make the mixture.
Let y represent the number of kilograms of walnut needed to make the mixture.
The mixture to be made is 100 kg. It means that
x + y = 100
The worth of the mixture is $3.24 per kilogram. It means that the total worth of the mixture is
3.24 × 100 = $324
peanuts cost $2.50 per kilogram and walnuts cost $4.50 per kilogram. It means that
2.5x + 4.5y = 324- - - - - - - - - -1
Substituting x = 100 - y into equation 1, it becomes
2.5(100 - y) + 4.5y = 324
250 - 2.5y + 4.5y = 324
- 2.5y + 4.5y = 324 - 250
2y = 74
y = 74/2 = 37
x = 100 - y = 100 - 37
x = 63
9, 14, and 22.
The formula for checking if a triangle will work is side a + side b > side c.
The only one that works is 9, 14, and 22.