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3 years ago

Sam and Bryan meet at the gym. Sam travels 6 miles farther to the gym than Bryan. Three times the distance Bryan travels is 12

Mathematics

1 answer:

Digiron [165]3 years ago

4 0

Answer:

x+6=y and 3x=12

Step-by-step explanation:

Let x be the distance traveled by Bryan and let y be the distance traveled by Sam then the first equation would be:

x+6=y (x plus 6 is equal to y, Bryan's distance plus 6 is equal to Sam's distance) and the second one is:

3x=12 (3 times x is 12, 3 times the distance travelled by Bryan is 12)

So our statements/equations are:

x+6=y and

3x=12 (we dont write this as x=4 as it asks us to give the statements we got from the information given, we only start simplifying once it tells us to solve)

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find the scale, k, of H(3,4) if H'(9,12) after going through the transformation (x,y) ---> (kx,ky) centered at the origin

stiks02 [169]

The value of scale k is 3

Step-by-step explanation:

In order to find the scale , we can either divide the coordinates of H' by the original point or compare both the points to find the original ordered pair.

Given

H(3,4)

H'(9,12)

The coordinates of H are multiplied with some integer k to form H'

So,

For x-coordinate:

3k = 9

k = 9/3 = 3

For y-coordinate:

4k = 12

k = 12/4 = 3

Hence,

The value of scale k is 3

Keywords: Coordinate geometry, scaling

Learn more about scaling at:

#LearnwithBrainly

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3 years ago

Mrs Adams baked some muffins. Carl eat 2/5 of the muffins and John eat 25. How many muffins were baked?

Dennis_Churaev [7]

Answer:

Well, how many were left over? Mrs. Adams has a muffin factory and made 1 million muffins. Carl ate 2/5 or 40% or 400,000 muffins, and John ate 25. 599,975 muffins were shipped for sale. That meets the stated requirements.

Hence, we have to guess there were supposed to be no muffins left over.

In that case, Mrs. Adams baked 125/3 muffins, Carl ate 2/5 of them = 50/3, leaving 75/3 = 25 for John.

Step-by-step explanation:

x muffins baked, 2/5 eaten by Carl, 3/5 left to be eaten by John, who ate 25 before running out.

3/5 x = 25

x = 25 × 5/3 = 125/3 = 41 + 2/3

Or, Start with x muffins. Carl ate 2/5 x, leaving 3/5 x. John ate 25 with zero left over. So 3/5 x = 25.

(x - 2/5 x) - 25 = 0

3/5 x = 25

x = (5/3) × 25 = 125/3.

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Answer:

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Step-by-step explanation:

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