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NikAS [45]
2 years ago
15

Oliver earns $9 per hour. Write and solve an equation to find how many hours he must work to earn $315

Mathematics
1 answer:
natka813 [3]2 years ago
7 0
Y=9x

315=9x

315/9=x

35=x
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Find the volume of the composite solid. Round your answer to the nearest tenth
Vesna [10]

Answer:

V = 1206.3 ft^{3}

Step-by-step explanation:

This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.

Volume of a cylinder = area (of the base) x height

Substitute in the formula for the area of a circle.

V(cylinder) = \pir^{2} x h

Substitute in the values for the radius (8) and height (4)

V(cylinder) = \pi x 8^{2} x 4

Evaluate using a calculator

V(cylinder) = 804.2477

To the nearest tenth, V(cylinder) = 804.2

Volume of a cone = \frac{\pi r^{2}h }{3}. This is the area of the circular part of the cone (\pi r^{2}), multiplied by the height from the point to the base, all divided by 3.

Substitute in the values for the radius of the circle (8) and the height (6)

V(cone) = \frac{\pi 8^{2} 6 }{3} (On the top it's \pi x 8^{2} x 6)

Evaluate using a calculator

V(cone) = 402.1239

To the nearest tenth, V(cone) = 402.1

Total volume = V(cylinder) + V(cone)

= 804.2 + 402.1

= 1206.3 ft^{3}

7 0
3 years ago
Min-jun has a swimming pool that needs to be drained. His pool holds
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You will need to drain 1016.308 gallons an hour
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Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and Section B had 20 students
Nezavi [6.7K]

Answer: A. 85.7

Step-by-step explanation:

Given : Two sections of a class took the same quiz.

Section A had 15 students who had a mean score of 80, and Section B had 20 students who had a mean score of 90.

We know that  , \text{Mean}=\dfrac{\text{Sum of observations}}{\text{No. of observations}}

Then , for section A :

\text{Mean score }=\dfrac{\text{Sum of scores in sec A}}{\text{No. of students}}

\Rightarrow\ 80=\dfrac{\text{Sum of scores in sec A}}{15}\\\\\Rightarrow\ \text{Sum of scores in sec A}=80\times15=1200

Similarly in Section B, \text{Sum of scores in sec B}=90\times20=1800

Total scores = Sum of scores in sec A+Sum of scores in sec B

=1200+1800=3000

Total students = Students in sec A +Students in sec B

=15+20=35

Now , the mean score for all of the students on the quiz =\dfrac{\text{Total score}}{\text{Total students}}

=\dfrac{3000}{35}=85.7142857143\approx85.7

Hence, the approximate mean score for all of the students on the quiz = 85.7

Thus , the correct answer is option A. 85.7.

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2 years ago
What’s 3/4 x 22/7 x 2
Zolol [24]

Answer:

4\frac{5}{7}

Step-by-step explanation:

we just multiply numerator by numerator and denominator by denominator

3/4x22/7

66/28x2/1

132/28

4 20/28

4 5/7

Hopes this helps,please mark brainliest

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9 months ago
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Words that came from the same ancestral language and originated from the same word are called
Anna71 [15]
Words that came from the same ancestral language and originated from the same word are called COGNATE WORDS.

In linguistics, cognates are words that have a common etymological origin. These are words in two languages that share a similar meaning, spelling, and pronunciation. For an instance, English words have lots of related words in Spanish.
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