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Ket [755]
1 year ago
5

On a long hike, Heather drank 7 pints of water. How much did she drink in quarts?Write your answer as a whole number or a mixed

number in simplest form.Include the correct unit in your answer.

Mathematics
1 answer:
NARA [144]1 year ago
8 0

Given:

On a long hike . Heather drank 7 pints of water.

Required:

How much did she drink in quarts?

Explanation:

We need raltion between pints and quarts.

\begin{gathered} 1quart=2pint \\ 1pint=\frac{1}{2}quart \end{gathered}

We have 7 pints of water.

So,

\begin{gathered} =7pints \\ \therefore1pint=\frac{1}{2}quart \\ =(7\times\frac{1}{2})quart \\ =3.5quarts \end{gathered}

Answer:

7pints=3.5quarts

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2) Fill in an angle measure greater than 100 degrees for the missing angle in yellow below. You will fill
timama [110]

Answer:

m∠a = 110°

m∠b = 110°

m∠c = 70°

m∠d = 70°

m∠i = 110°

m∠h = 110°

m∠j = 70°

m∠g = 110°

m∠f = 70°

m∠e = 70°

m∠k = 57°

m∠m = 70°

m∠l = 167°

Step-by-step explanation:

Let the measure of the yellow angle = 110°

Therefore;

m∠a = 110°  by vertically opposite angles

m∠b = m∠a = 110° by opposite interior angles of a parallelogram

m∠c = 180° - 110° = 70° by same side interior angles

m∠d = m∠c = 70° by opposite interior angles of a parallelogram

m∠i and m∠c are supplementary angles, therefore, m∠i = 110°

m∠h = m∠i = 110° by vertically opposite angles

m∠j = m∠c = 70° by vertically opposite angles

m∠g and m∠d are supplementary angles, therefore, m∠g = 110°

m∠f = m∠d = 70° by alternate interior angles

m∠f = m∠e = 70° by vertically opposite angles

m∠k = 180° - (m∠h + 13°) = 180° - (110° + 13°) = 57°

m∠b and m∠m are supplementary angles, therefore, m∠m = 70°

m∠l and 13° are supplementary angles, therefore, m∠l = 167°

4 0
3 years ago
What is the volume of the prism?
Ber [7]
30 should be the volume
8 0
2 years ago
A paper container in the shape of a right circular cone has a radius of 3 inches and a height of 8 inches. Determine and state t
Scrat [10]

Given:

Radius of the cone = 3 inches

Height of the cone = 8 inches

To find:

The volume of the cone, in terms of  π.​

Solution:

We know that, the volume of a cone is:

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

Putting r=3,h=8, we get

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

V=\dfrac{1}{3}\pi (9)(8)

V=\dfrac{72}{3}\pi

V=24\pi

Therefore, the volume of the cone is 24\pi.

7 0
2 years ago
Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 4 or 8?
sveticcg [70]

There are 6 numbers on each die.

The total number of out comes is 6 x 6 = 36.


To get a sum of 4, the combinations are: 1 & 3, 2 & 2 or 3 & 1.

To get a sum of 8, the combinations are: 1 & 7, 2 & 6, 3 & 5, 4 & 4, 7 & 1, 6 & 2, 5 & 3


The total of those combinations are:  3  + 7 = 10 total combinations of a sum of either 4 or 8.


The probability of either is 10/36, which can be reduced to 5/18.

8 0
3 years ago
LaToya had a large collection of basketball cards. She decided to give half of them to her friends, Aaron, and a fourth of them
Savatey [412]
1-1/2-1/4=1/4  If 75 is 1/4, then just divide to get the whole thing.  75/1/4=200
She had two hundred cards to start with.  Hope this helps!!!
5 0
3 years ago
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