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olga2289 [7]
3 years ago
13

I need this quick, anyone got the answer?

Mathematics
2 answers:
KIM [24]3 years ago
7 0

Answer:

y=x2

Step-by-step explanation:

nydimaria [60]3 years ago
3 0

Answer:

C

Step-by-step explanation:

So we have a cylinder with a hole the shape of a rectangular prism through it.

Therefore, our total volume would be the cylinder minus the volume of the rectangular prism.

The volume of a cylinder is given by the formula:

V=\pi r^2h

Use 3.14 for π, 10 for radius, and 15 for the height. Thus:

V=(3.14)(10)^2(15)\\V=4710

So the volume of the cylinder is 4710 cubic feet.

Now, find the volume of the rectangular prism.

The formula for the volume of a rectangular prism is given by:

V=lwh

The length is 5, width is 3, and height is 15. Thus:

V=(5)(3)(15)\\V=225

So, the total volume is:

V_{\text{Total}}=V_{\text{Cylinder}}-V_{\text{Rectangle}}\\V_{\text{Total}}=4710-225=4485\text{ feet}^3

Our answer is C

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A pair of boots and a pair of tennis shoes cost $196.12. The difference in their cost is $44.38. Determine the cost of each type
Natasha2012 [34]

Answer: A pair of boots costs $120.25. A pair of tennis shoes costs $75.87✔️

Step-by-step explanation:

Let B the cost of a pair of boots and let T the cost of a pair of tennis shoes.

Then we know:

A pair of boots and a pair of tennis shoes cost $196.12:

B + T = $196.12 } Equation 1

We also know:

The difference in their cost is $44.38:

B - T = $44.38 } Equation 2

From the equation 1 we know T:

T = $196.12 - B

Now we can substitute this value in equation 2:

B - ($196.12 - B) = $44.38

B - $196.12 + B = $44.38

2B = $44.38 + $196.12 = $240.5

B = $240.5/2 = $120.25◄cost of a pair of boots

Since we know the value of T from the equation 1:

T = $196.12 - B = $196.12 - $120.25 = $75.87◄cost of a pair of tennis shoes

Answer: A pair of boots costs $120.25. A pair of tennis shoes costs $75.87✔️

<h3>Verify </h3>

We can substitute these values in equations 1 and 2 and check the results:

B + T = $196.12 } Equation 1

$120.25 + $75.87 = 196.12 ✔️<em>check!</em>

B - T = $44.38 } Equation 2

$120.25 - $75.87 = $44.38 ✔️<em>check!</em>

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3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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5 0
3 years ago
Write 9x-3y=-69 x − 3 y = − 6 in slope-intercept form. Make sure you show all steps and inverse operations.Write 9x-3y=-69 x − 3
Goryan [66]

Answer:

y = 3x + 23 and

y = \frac{1}{3}x + 2

Step-by-step explanation:

The first equation is 9x - 3y = - 69 and we have to write it in slope-intercept form.

Now, 9x - 3y = - 69

⇒ 3x - y = - 23 {Dividing both sides by 3}

⇒ 3x + 23 = y

⇒ y = 3x + 23 {Interchanging the sides} (Answer)

The second equation is x - 3y = - 6 and we have to write it in slope-intercept form.

Now, x - 3y = - 6

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⇒ 3y = x + 6 {Interchanging the sides}

⇒ y = \frac{1}{3}(x + 6) {Dividing both sides by 3}

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