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3 years ago

Which of the inequalities represents the statement "the absolute value of the difference of x and y is greater than 5"?

Mathematics

1 answer:

anzhelika [568]3 years ago

5 0

Answer:

Step-by-step explanation:

The absolute value of the difference of x and y is represented by subtracting y from x and taking the absolute value of the entire expression; the correct answer is |x - y| > 5.

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At last weekend's football game, 15 out of the first 50 people who entered the field were wearing hats.

Mariana [72]

Answer:

C. 75 people

Step-by-step explanation:

50x5=250

15x5 = 75

so, 75 people

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3 years ago

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Solve 7 ÷ one half = ___. Question 1 options: 14 15 24 40

Norma-Jean [14]

Answer:

O 14

Step-by-step explanation:

hope it is helpful :)

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3 years ago

A box with a square base and an open top is being constructed out of A cm2 of material. If the volume of the box is to be maximi

viktelen [127]

Answer:

Side length = $\sqrt{\frac{A}{3} }$ cm , Height = $\frac{1}{2} \sqrt{\frac{A}{3} }$ cm , Volume = $\frac{A\sqrt{A}}{6\sqrt{3} }$ cm³

Step-by-step explanation:

Assume

Side length of base = x

Height of box = y

total material required to construct box = A ( given in question)

So it can be written as

A = x² + 4xy

4xy = A - x²

$y = \frac{A - x^{2} }{4x}$

Volume of box = Area x height

V = x² ₓ y

V = x² ₓ ( $\frac{A - x^{2} }{4x}$ )

V = $\frac{Ax - x^{3} }{4}$

To find max volume put V' = 0

So taking derivative equation becomes

$\frac{A - 3 x^{2} }{4} = 0$

A = 3 $x^{2}$

$x^{2}$ = $\frac{A}{3}$

x = $\sqrt{\frac{A}{3\\} }$

put value of x in equation 1

y = $\frac{A - \frac{A}{3} }{4\sqrt{\frac{A}{3} } }$

y = $\frac{2 \sqrt{\frac{A}{3} } }{4 \sqrt{\frac{A}{3} } }$

y = $\frac{1}{2} \sqrt{\frac{A}{3} }$

So the volume will be

V = $x^{2}$ × y

Put values of x and y from equation 2 & 3

V = $\frac{A}{3} (\frac{1}{2} \sqrt{\frac{A}{3} } )$

V = $\frac{A\sqrt{A}}{6\sqrt{3} }$

8 0

4 years ago

Can someone please help me with this geometry problem?

Anastasy [175]

I don't know that we can help you without more info.
Do you have a photo of the problem that you could upload?

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3 years ago

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3(x+2) = 2(2x+7) — solve for x and please explain

Sedbober [7]

3(x+2) = 2(2x+7)

3x + 6 = 4x + 14 (On the left side we distribute 3 through parenthesis and on the right side we do the same with 2)

3x - 4x = 14 - 6 (Here we move 4x from the right to the left side and it changes its sign. We do the same with 6)

-x = 8

x = - 8

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3 years ago

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