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Mathematics

1 answer:

antoniya [11.8K]3 years ago

6 0

There is 3.7 grams of sugar in each ounce of sugar Buzz.

Two variables are said to be proportional or have a proportional relationship when they have equivalent ratios. That is they increase or decrease by a factor.

Let x represent the size of Sugar Buzz soft drink and let y represent the amount of sugar.

y is proportional to x, hence:

y = kx; k is the constant of proportionality.\

When x = 12 ounce, y = 44.4 grams, hence:

12k=44.4

k = 3.7 gram per ounce

Therefore there is 3.7 grams of sugar in each ounce of sugar Buzz.

Find out more at: brainly.com/question/25049845

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1) Give 5 examples of a difference of two perfect squares

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3 years ago

A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t

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Answers:
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
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Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides

2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles

3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

6- The rotation reduces the size of the triangle:
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Hope this helps :)

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3 years ago

Read 2 more answers

|(1)

Yanka [14]

So first you would divide 1950/6 to find the amount for one year of their age.
Then you would multiply that by the ages, which should get you 4 numbers, then you all those numbers together. Try 9750.

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3 years ago