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dusya [7]
3 years ago
6

The average person in the United States drinks 767 cups of coffee annually. How many quarts of coffee is that? Show your work. (

do not comment if you do not know or I will report )
Mathematics
1 answer:
My name is Ann [436]3 years ago
7 0

Answer: 191.75 quarts.

Step-by-step explanation:

We know that:

1 quart = 4 cups.

Then:

1 cup = 1/4 quarts.

this means that 1 cup, is equal to 1/4 quarts.

Then 767 cups is equal to 767 times 1/4 quarts.

The change of units is simply:

767 cups = 767*( 1/4 quarts) = 191.75 quarts.

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Zoe wants to make a driveway.
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1) A cyclist travels a distance of 90 miles in 5 hours. What
Nostrana [21]

Answer:

Step-by-step explanation: <u>Speed</u> is distance an object travelled per unit time.

It is represented by letter v and can assume various units.

1) v=\frac{distance}{time}=\frac{d}{t}

v=\frac{90}{5}

v = 18 miles per hour

Her average speed is 18 mph.

2) Rearraging formula for distance:

d = v.t

d = 70 * 4

d = 280 miles

You would travel 280 miles.

3)  v=\frac{d}{t}

v=\frac{315}{6}

v = 52.5 mph

My average speed is 52.5 mph.

4) Rearranging formula to determine time:

t=\frac{d}{v}

t=\frac{210}{90}

t = 2.34 hours

It will take 2 hours and half to arrive in Leeds. So, we will be expected to arrive at 12:04.

5) The unit change but the way of calculating time is the same.

t=\frac{2000}{4}

t = 500 s

or t = 8.34 minutes

It will take, for an athlete to run 2000m, 8.34 minutes.

6) a) All units must match, so for a speed in mph:

45 minutes is 0.75 hours. Total time is 8.75 hours.

v=\frac{420}{8.75}

v = 560 mph

The average speed is 560 mph.

b) t=\frac{d}{v}

t=\frac{420}{63}

t = 6.67 hours

Sam will take 6.67 hours to covered the distance.

4 0
3 years ago
A ladder leaning against a wall makes a 60° angle with the ground. The base of the ladder is 3 m from the building. How high abo
Marysya12 [62]

Answer:

The distance is 5.20m

Step-by-step explanation:

Here, we want to get the height of the ladder

To get this, we need to understand that we have a right triangle, with the base of the triangle as 3 m, the angle at the downward part is 60, and we want to get the height of the triangle

The angle here faces the height we want to calculate

This height is known as the opposite

What we have is the adjacent

Now, the trigonometric identity that relates the opposite and the adjacent is the tan

The tangent of an angle is the ratio of the opposite to the adjacent

Mathematically;

tan 60 = h/3

h = 3 tan 60

h = 5.20 m

The ladder is at a height of 5.20 m above the ground

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Answer:

Step-by-step explanation:

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