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Katyanochek1 [597]
4 years ago
11

a mug is 2/7 full. The mug contains 1/3 of a cup of water. Find the capacity of the mug. Write the answer as a fraction or mixed

number in simplest form.
Mathematics
1 answer:
Ahat [919]4 years ago
5 0

Answer:

7/6 cups

Step-by-step explanation:

Given the following information :

Mug is 2/7 full

Amount of water in the mug = 1/3 cup

Assume the full capacity of the mug = m

Then the current capacity of water in mug = (2/7) of m = (2/7)m

Current capacity of water in mug is equivalent to 1/3 cup of water

Hence,

(2/7)m = 1/3

2m/7 = 1/3

Cross multiply

(2m * 3) = 7 * 1

6m = 7

m = 7/6

m = 1 1/6 cups

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The number of gas purchased by four motorist and the corresponding costs are plotted one he coordinate plane. Which of these tab
BARSIC [14]

Answer:

4 IS $1

8 IS $2

12 IS $3

16 IS $4

Step-by-step explanation:

On the coordinate plane it would be a number on the top left and point at a bottom number, the top left is the first number and on the bottom is the last number. Hope that helped!

6 0
3 years ago
A cone is placed inside a cylinder, as shown below. They have the same height and diameter. About how much space is inside the c
nadezda [96]

The space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.

<h3>What is a cone?</h3>

It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.

We know the volume of the cylinder is given:

\rm V = \pi r^2 h

r = 10/2 = 5 FT

h = 12 FT

\rm V = \pi (5)^2 \times 12

V = 300π cubic FT

Volume of the cone:

\rm v = \dfrac{\pi r^2 h}{3}

\rm v = \dfrac{\pi (5)^2 \times 12}{3}

v = 100π cubic FT

Space is inside the cylinder but outside the cone = 300π - 100π

= 200π cubic FT

= 628.32 cubic FT

Thus, the space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.

Learn more about the cone here:

brainly.com/question/16394302

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6 0
2 years ago
The base of a rectangular prism has an area of 888 square meters. The height of the rectangular prism is 555 meters.
andriy [413]
If you want to find the volume, multiply the area of the base by the height. In this problem it would be 888*555, which is equal to 492,840
7 0
3 years ago
Convert the angle 61 38’ 45” to decimal degrees, and round to the nearest hundredth of a degree
slega [8]
A suitable calculator* can do this easily.

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I like the RealCalc app for Android, but many graphing calculators also will do this conversion. Of course, you can simply evaluate the expression as above.
6 0
3 years ago
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Helen [10]
3/5 because the numerator is no the same as the others<span />
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3 years ago
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