MATHEMATICS HIGH SCHOOL

A chef uses 12 cup of cheese for a small pizza. There are 6 grams of fat in 14 cup of cheese. Drag one expression next to each question. The correct expression for each row is a way to answer that question.

Answers

Answer 1
Answer:

Answer:

I guess that we want to find how many grams of fat we have in a small pizza.

In a small pizza, we use 12 cups of cheese.

in 14 cups of cheese, we have 6 grams of fat.

Then, in 12 cups of cheese, we have x grams of fat.

We want to find the value of x.

We know that the ratio between the number of cups must be the same as the ratio between the grams of fat then:

12cups/14cups = x/6grams

x = (12/14)*6grams = 5.14 grams

Then in the 12 cups of cheese, we have 5.14 grams of fat.

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The sum of 1/6, 2/3, and 1/4 is A. 2/72, or 1/36. B. 11/12. C. 4/12, or 1/3. D. 13/12, or 1 1/12.
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Solve for x. −4/9 x 7=−71/8 x 9

Answers

-4/9 x + 7 = -71/8 x + 9
-4/9 x + 71/8 x = 9 - 7
607/72 x = 2
x = (2 x 72)/607 = 144/607

If the angles of a triangle are in ratio 2:3:7 find the measure of all the angles of the triangle

Answers

The sum of all angles of a triangle is 180 grades (or Pi radians).

The angles are in ratio 2:3:7, this means that by naming an angle X we will have:

2*X+ 3*X + 7*X= 180

so, 12*X =180 => X=15

The first angle is 2* X= 30 grades
The second angle is 3*X= 45 grades
The last angle is 7*X=105 grades

Find the product.(2p + 7)(3p - 9)
6p2 - 3p - 63
6p2 + 3p - 63
6p2 + 39p - 63
6p2 + 3p - 2

Answers

(2p + 7)(3p-9)
2p x 3p= 6p^2
2p x -9= -18p
7 x 3p=21p
7 x -9=-63
6p^2 - 18p + 21p - 63
6p^2 + 3p -63 is the answer.
If you would like to solve (2 * p + 7) * (3 * p - 9), you can calculate this using the following steps:

(2 * p + 7) * (3 * p - 9) = 2 * p * 3 * p - 2 * p * 9 + 7 * 3 * p - 7 * 9 = 6 * p^2 - 18 * p + 21 * p - 63 = 6 * p^2 + 3 * p - 63

The correct result would be 6 * p^2 + 3 * p - 63.

What is the value of d?

11d = –44

Answers

11d = -44
d = -44/11
d = -4

The answer is: d = -4.

In a triangle, two of the angles measure 56° and 72°. Find the measure of the third angle.

Answers

In a triangle, the three interior angles always add to 180°.

56° + 72° + x° = 180°

128° + x° = 180°    |subtract 128° from both sides

x° = 52°

Compare the graphs of the inverse variations y=-0.2/x and y=-0.3/x. Provide at least 3 comparisons

Answers

- both are not defined for x = 0

- both have the same symmetry axis: y = x

- both are hyperbolas

- both have the same asymptotes: the y-axis, i.e. y = 0

- both have the same limits when x approaches 0 by the right and by the left: positive and negative infinity.

-  both have the same limits when x approaches + and - infinity: zero.

- they never touch one to each other
 
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