x = 4
First you combine like terms:
8 + 4x = 24
Then solve:
4x = 24 - 8
4x = 16
x = 16/4
x = 4
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Define x:
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Let the shorter piece be x.
Shorter piece = x
Longer piece = 6x
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Construct equation:
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x +6x =35
7x = 35
x =5
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Find the length:
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Shorter length = x = 5 feet
Larger length = 6x = 6(5) = 30 feet
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Answer: The shorter piece is 5 feet.
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Answer: 6 and -1/6
Step-by-step explanation:
solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.
Answer:
B) 16
Step-by-step explanation:
<u>Espresso required for one person:</u>
<u>Espresso required for 24 people:</u>
3 teaspoons = 1 tablespoon
48 teaspoons = 48/3 = 16 tablespoons
Christopher needs 16 tablespoons of espresso.
<u>Correct answer choice:</u> B) 16
