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marta [7]
2 years ago
8

Out of seniors at a local high school, 60% went on the senior trip. At the hotel , one room was reserved for every 4 students .

How many rooms were reserved for the students
Mathematics
1 answer:
sweet [91]2 years ago
7 0

Answer:

<u>Number of rooms reserved for the students are - 90 .</u>

Step-by-step explanation:

Firstly ,

As we know 60% of the 600 students went on the trip,

Then ,

Number of students went on the trip = 60% of 600

                                                          = \frac{60}{100}\times600

                                                        = 360

Now ,

Given - One room is reserved  for 4 students ,

Therefore , Number of rooms for 360 students = \frac{360}{4}

                                                                             = 90

<u>Hence , the answer is  90 rooms reserved for the students.</u>

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Answer:

y=5/3x-3

Step-by-step explanation:

first, let's put 3x+5y=15 into y=mx+b form

move 3x to the other side

5y=-3x+15

divide by 5

y=-3/5x+3

now, perendicular lines have slopes that are negative and reciprocal.

With our new equation we can automatically find the slope, which would be 5/3.

now, we need to find b

plug the points (3,2) into y=5/3x+b

2=5/3(3)+b

2=5+b

-3=b

so that means that our equation will now be

y=5/3x-3.

Hope this helps!

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2 years ago
PLEASE HELP AGAIN ASAP!
Dovator [93]
15/5 goes to all of them..

15/5 = 3
8 0
3 years ago
The regular octagon in the ceiling of this cathedral has a radius of 10.5 feet and a perimeter of 64 feet.
SVEN [57.7K]

Answer:

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4 0
2 years ago
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Find the volume and surface area of the composite figure. Give your answer in terms of pi
ExtremeBDS [4]

Given:

A diagram of a composite figure.

Radius of cone and hemisphere is 8 cm.

Height of the cone is 15 cm.

To find:

The volume and the surface area of the composite figure.

Solution:

Volume of a cone is:

V_1=\dfrac{1}{3}\pi r^2h

Where, r is the radius and h is the height of the cone.

Putting r=8,h=15 in the above formula, we get

V_1=\dfrac{1}{3}\pi (8)^2(15)

V_1=\pi (64)(5)

V_1=320\pi

Volume of the hemisphere is:

V_2=\dfrac{2}{3}\pi r^3

Where, r is the radius.

Putting r=8, we get

V_2=\dfrac{2}{3}\pi (8)^3

V_2=\dfrac{1024}{3}\pi

V_2\approx 341.3\pi

Now, the volume of the composite figure is:

V=V_1+V_2

V=320\pi +341.3\pi

V=661.3\pi

The volume of the composite figure is 661.3π cm³.

The curved surface area of a cone is:

A_1=\pi r\sqrt{h^2+r^2}

Where, r is the radius and h is the height of the cone.

Putting r=8,h=15 in the above formula, we get

A_1=\pi (8)\sqrt{(15)^2+(8)^2}

A_1=\pi (8)\sqrt{289}

A_1=\pi (8)(17)

A_1=136 \pi

The curved surface area of the hemisphere is:

A_2=2\pi r^2

Where, r is the radius.

Putting r=8, we get

A_2=2\pi (8)^2

A_2=2\pi (64)

A_2=128\pi

Total surface area of the composite figure is:

A=A_1+A_2

A=136\pi +128\pi

A=264\pi

The total surface area of the composite figure is 264π cm².

Therefore, the correct option is A.

8 0
2 years ago
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Soloha48 [4]

Answer:

294 kilograms of butter

Step-by-step explanation:

40% of 210 is 84 and 210+84 is 294

5 0
3 years ago
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