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3 years ago

PLEASE HELP!!

Mathematics

1 answer:

Igoryamba3 years ago

5 0

Answer:

Step-by-step explanation:

7.50x + 6y ≤ 92. AND. x + y ≥ 20

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Complete the square to determine the maximum or minimum value of the function defined by the expression. x2 + 12x + 42

skelet666 [1.2K]

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3 years ago

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What does 74 divided by 8 equal

Darya [45]

8 goes into 74 nine times but there is a remainder of 2

9 and a remainder of 2 or 9 and 1/4

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A gumball has a diameter that is 66 mm. The diameter of the gumball's spherical hollow core is 58 mm. What is the volume of the

grigory [225]

Answer:

Volume of gumball without including its hollow core is 48347.6 cubic mm.

Step-by-step explanation:

Given:

Diameter of Gumball = 66 mm

Since radius is half of diameter.

Radius of gumball = $\frac{diameter}{2}=\frac{66}{2} =33 \ mm$

Now We will first find the Volume of Gumball.

To find the Volume of Gumball we will use volume of sphere which is given as;

Volume of Sphere = $\frac{4}{3}\pi r^3$

Now Volume of Gumball = $\frac{4}{3}\times3.14 \times (33)^3 = 150456.24 \ mm^3$

Also Given

Diameter of gumball's spherical hollow core = 58 mm

Since radius is half of diameter.

Radius of gumball's spherical hollow core = $\frac{diameter}{2}=\frac{58}{2} =29 \ mm$

Now We will find the Volume of gumball's spherical hollow core.

Volume of Sphere = $\frac{4}{3}\pi r^3$

So Volume of gumball's spherical hollow core = $\frac{4}{3}\times3.14 \times (29)^3 = 102108.61 \ mm^3$

Now We need to find volume of the gumball without including its hollow core.

So, To find volume of the gumball without including its hollow core we would Subtract Volume of gumball spherical hollow core from Volume of Gumball.

volume of the gumball without including its hollow core = Volume of Gumball - Volume of gumball's spherical hollow core = $150456.24\ mm^3 - 102108.61\ mm^3 = 48347.63\ mm^3$

Rounding to nearest tenth we get;

volume of the gumball without including its hollow core = $48347.6\ mm^3$

Hence Volume of gumball without including its hollow core is 48347.6 cubic mm.

8 0

3 years ago

The perimeter of a rectangle is 128 inches.

Anuta_ua [19.1K]

Considering the perimeter of the rectangle, we have that the length is of 9 inches and the width is of 55 inches.

<h3>What is the perimeter of a rectangle?</h3>

The perimeter of a rectangle of length l and width w is given as follows:

P = 2(l + w).

The length is an odd integer and the width is <u>5 times the next consecutive odd integer,</u> hence:

l = x, w = 5(x + 2).

The perimeter is of 128 inches, hence:

128 = 2l + 2w

128 = 2x + 10(x + 2)

128 = 2x + 10x + 20

12x = 108

x = 9.

Hence the length is of 9 inches and the width is of 55 inches.

More can be learned about the perimeter of a rectangle at brainly.com/question/10489198

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1 year ago

Nandeville and Henningsburg are 75 miles apart. On a map, the two cities are 5 inches apart. How many miles does 1 inch represen

soldier1979 [14.2K]

Answer:

5 miles

Step-by-step explanation:

because when u divide 10 and 2 you will get 5

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2 years ago