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HACTEHA [7]
3 years ago
11

Idk what to do.And this is due tomorrow

Mathematics
1 answer:
Flauer [41]3 years ago
5 0

Answer:

<u>Question 1:</u>

5 pints per hour

<u>Question 2:</u>

480 tons per day

<u>Question 3:</u>

12 miles per gallon of gasoline

<u />

Step-by-step explanation:

<u>Question 1:</u>

<h2><em>In the morning;</em></h2>

A farm worker packed 3 pints of grapes every 4 minutes.

1 minute = \frac{1}{60} hours

Packing rate in pints per hour = 3 pints ÷ \frac{4}{60} hours = 45 pints per hour

<h2><em>In the afternoon;</em></h2>

She packed 2 pints of grapes every 3 minutes.

Packing rate in pints per hour = 2 pints ÷ \frac{3}{60} hours = 40 pints per hour.

The difference between her morning and afternoon packing rates (in pints per hour) = 45 pints per hour - 40 pints per hour = 5 pints per hour

<u>Question 2:</u>

A recycling plant processes an average of \frac{1}{3} tons of glass each minute.

1 hour = 60 minutes

The number of tons of glass processed in 1 hour is:

\frac{1}{3} × 60 = 20 tons of glass in 1 hour.

1 day = 24 hours

Number of tons of glass processed in a day = 20 tons × 24 = 480 tons

<u>Question 3:</u>

A vehicle uses 1\frac{1}{8} gallons of gasoline to travel 13\frac{1}{2} miles.

Per 1 gallon of gasoline the vehicle will travel:

1 × 13\frac{1}{2} ÷ 1\frac{1}{8} = 12 miles

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atroni [7]
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3 years ago
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Brums [2.3K]

Answer: sqrt(2)/2  which is choice D

======================================================

Explanation

(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).

The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle

180-135 = 45

Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2

sine is positive in quadrant 2

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6 0
3 years ago
I need help with this math problem
mr Goodwill [35]

Let X = number of minutes.

Plan A = 50 + 0.04X

Plan B = 60 + 0.02X


50 + 0.04X = 60 + 0.02X

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0.04X = 10 + 0.02X

Subtract 0.02X from each side:

0.02X = 10

Divide both sides by 0.02

X = 10 / 0.02

X = 500

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Step-by-step explanation:

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