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3 years ago

PLEASE HELP:

Mathematics

1 answer:

Tema [17]3 years ago

3 0

X=moira y=mother

x=1/2y-3

x=1/2(76)-3

x=38-3

x=35

Moira is 35 years old.

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Determine whether the events are independent or dependent: rolling a number cube and tossing a coin

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3 years ago

8. Lesly took a test with 30 questions. The ratio of correct answers to incorrect answers

Firlakuza [10]

Lesly got 14 answers correctly.

Let the correct answers be C.

Let the incorrect answers be I.

Given the following data:

Total number of questions = 30 questions.

Ratio of C to I = 7 : 8

C to I = 7 + 8 = 15

To find the number of answers she got correctly;

$C = \frac{7}{15}$ × $30$

$C = 7$ × $2$

Correct answers, C = 14 answers

Therefore, Lesly got 14 answers correctly.

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3 years ago

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3 years ago

Find the volume of the figure: an oblique cylinder next to a cube.

charle [14.2K]

Answer:

$(2,200\pi +8,000)\ ft^{3}$

Step-by-step explanation:

we know that

The volume of the figure is equal to the volume of cube plus the volume of the cylinder

step 1

Find the volume of the cube

The volume of the cube is equal to

$V=b^{3}$

we have

$b=2(10)=20\ ft$ ----> the length side of the cube is equal to the diameter of the cylinder

$V=20^{3}=8,000\ ft^{3}$

step 2

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$r=10\ ft$

$h=42-20=22\ ft$

substitute

$V=\pi (10)^{2} (22)$

$V=2,200\pi\ ft^{3}$

step 3

The volume of the figure is equal to

$(2,200\pi +8,000)\ ft^{3}$

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4 years ago

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3 years ago