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aleksley [76]
3 years ago
13

What is the difference in length between a 11/4 inch button and a 3/8 inch button

Mathematics
1 answer:
Nutka1998 [239]3 years ago
4 0

Answer:

\frac{19}{8}

Step-by-step explanation:

First, multiply the two denominators together to get the shared denominator, which will allow you to actually subtract the two numbers. 4 × 8 = 32, so the shared denominator will be 32.

Then, cross-multiply. 11 × 8 = 88, so \frac{11}{4} becomes \frac{88}{32}. 3 × 4 = 12, so \frac{3}{8} becomes \frac{12}{32}.

Now, you can subtract.  \frac{88}{32} -\frac{12}{32} =\frac{76}{32}

Finally, simplify. \frac{76}{32} =\frac{19}{8}. The final difference is \frac{19}{8}.

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A passenger train traveled 100 miles in the same amount of time it took a freight train to travel 80 miles. The rate of the frei
andreev551 [17]

Answer:

The passenger train traveled at a speed of 25 miles/hour

Step-by-step explanation:

In this question, we are asked to calculate the rate at which a particular passenger train is traveling.

We use the information in the question to answer as follows;

Firstly, we identify that they traveled at the same time but their distances are different. This means that their speed must be different also.

Mathematically, we know that time can be calculated as distance/ time.

Let us say the speed at which the passenger train traveled is x miles per hour. This means that the speed of the freight train which was 5 miles per hour slower would be (x-5) miles per hour.

We know their times are equal;

Hence;

100/x = 80/(x-5)

We cross multiply

100(x-5) = 80x

100x -500 = 80x

100x-80x = 500

20x = 500

x = 500/20

x = 25 miles per hour

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4 years ago
Tom and Jack spend a certain amount of money from their accounts each week at a pet shelter.
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D) Function 2, because Jack spends $8 each week and Tom spends $7 each week
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4 years ago
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You and a friend walk away from a tree in opposite directions each traveling 15 yards. You were walking due east and then turned
LenKa [72]

Answer:

2nd friend heading west

Step-by-step explanation:

This is actually pretty easy to explain.

You and a friend are near a tree and decide to walk away from it. At the beggining you walked 15 yards and your friend too, and then, there's the turn of event. You walked 8 yards toward north east, and your friend 8 yards towards south west.

The key to know which is further from the tree is the angle of turning of both. We need to calculate the component in x from both persons, and then, add it to the previous 15 yards. This way we will know who is further.

Let's begin with the 1°, the one who's heading east:

X = 15 + 8 cos45° = 20.66 yards

Now the friend heading west:

X = 15 + 8 cos40° = 21.13 yards

With these results we can conclude that the 2nd friend is further from the tree.

Hope this helps

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3 years ago
What is the constant of proportionality in the equations 3y=2X?
attashe74 [19]

Answer:

the coefficient of x is 2/3 which is the constant.

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