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4 years ago

Y = XVW X = what is x?

Mathematics

1 answer:

mixas84 [53]4 years ago

4 0

Answer:

x=75

Step-by-step explanation:

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One bushel of apples weighs 22 kilograms. How many kilograms do 5.7 bushels weigh?

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3 years ago

Point M is the midpoint of segment AB. AM=3x+40 and MB=x^2. Find x and AB

Nina [5.8K]

$\text{Hello there! :)}$

$x = 8\\\\AB = 128 \text{ units}$

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$\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\$

$\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\$

$\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40$

$\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8$

$\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8$

$\text{Substitute in this value of x into either AM or MB to solve for AB:}$

$AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}$

5 0

4 years ago

How many cubic yards of concrete are in a light pole caisson having a diameter of 24 inches and a

lesya [120]

Answer:

C. 0.7 yd³

Step-by-step explanation:

Find the volume of cylinder:

V = πr²h

Convert the dimensions into yards:

d = 24 inches = 24/36 yards = 2/3 yards ⇒ r = 1/2d = 1/2*2/3 = 1/3 yards
h = 6 feet = 6/3 yards = 2 yards

Find the volume by substituting the values:

V = 3.14*(1/3)²*2 = 0.69777 ≈ 0.7 yd³

Correct choice is C

3 0

3 years ago