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mylen [45]
3 years ago
10

Today Ian wants to run less than 7/12 mile. Write a fraction with a denominator of 4 to respresent a distance that is less than

7/12.
Mathematics
1 answer:
Mkey [24]3 years ago
5 0

Lan wants to run less than 7/12 miles. It says to find out a fraction with a denominator of 4 and which is less than 7/12.

Let's assume the required fraction to be x/4 such that x/4 is less than 7/12.

\frac{x}{4} < \frac{7}{12} \\\\ 3*\frac{x}{4} < \frac{7}{12}*3 \\\\ \frac{3x}{4} < \frac{21}{12} \\\\ \frac{3x}{4} < \frac{7}{4} \\\\ 3x < 7

So we must have multiples of 3's that should be less than 7, we have only two choices 3 < 7 or 6 < 7.

It means x = 1 or x = 2, and the required fraction would be 1/4 or 2/4.

2/4 is simplified to 1/2 and the question says to have denominator 4.

Hence, final answer is 1/4

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If 2x +y=8, x+2y=4, find the value of x-y.<br> Please, help me
kifflom [539]

y = 8 -2x

x + 2 (8 - 2x) = 1

x + 16 - 4x = 1

x - 4x = -15

-3x = -15

x = 5

If x = 5, then we can substitute in...

5 + 2y = 1

2y = -4

y = -2

Now let us check that by substituting those values in to the equation

2x + y = 8

2 (5) + (-2) = 8

That is correct so we have the right values for x and y/

8 0
3 years ago
molly ran 1/4 of a mile in 1 minute if molly runs at that speed how long will it take her to run 4 miles
Vika [28.1K]

Step-by-step explanation:

Molly ran 1/4 of a mile in 1 minute, i.e.

1/4 mile : 1 minute

Multiply both sides by 4 to get time for one mile

1 mile : 4 minutes

Multiply by 4 again to get time for 4 miles

4 miles = 4*4 = 16 minutes.

So it takes Molly 16 minutes to run four miles.

7 0
3 years ago
If f(x) = x2 − 2x + 9 and g(x) = 8 − x, what is (f o g)(−4)?
erastovalidia [21]
I hope this helps you

3 0
3 years ago
A photo that measure 5 inches in length by 7 inches in width is enlarged to 7.5 inches in length. What is the width?
galina1969 [7]

Answer:

10.5

Step-by-step explanation:

You can use ratios to solve this problem.

The original dimensions of the photo is

5 in. by 7 in.

This can be written as:

5:7

And the next is 7.5:?

Then you can use ratios to solve this.

5:7=

7.5:?

5*1.5=7.5 so you can multiply the other side by the same thing. 7*1.5=10.5

The width is 10.5 inches.

5 0
2 years ago
One of my last ones i need
grandymaker [24]

angle EPF = angle DPG

=> 4x + 48deg = 7x

=> 3x = 48 deg

=> x = 16

=> angle EPF = 4(16) +48 = 112deg

7 0
3 years ago
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