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Marysya12 [62]
3 years ago
8

The figure below shows a line graph and two shaded triangles that are similar: A line is shown on a coordinate grid. The x-axis

values are from negative 15 to positive 15 in increments of 3 for each grid line. The y-axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 12, 4, and 0, 0, and 12, negative 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to 6, negative 2 labeled as A, one leg is from 0, 0 to 0, negative 2, and the second leg is from 0, negative 2 to 6, negative 2. Another shaded right triangle is formed with the hypotenuse from 6, negative 2 to 9, negative 3 labeled as B, one leg is from 6, negative 2 to 6, negative 3, and the second leg is from 6, negative 3 to 9, negative 3. Which statement about the slope of the line is true?
A. It is fraction negative 1 over 3 throughout the line.
B. .It is −3 throughout the line.
C. The slope from point O to point A is fraction 1 over 3 times the slope of the line from point A to point B.
D. The slope from point O to point A is three times the slope of the line from point A to point B.
Mathematics
1 answer:
german3 years ago
6 0

Answer:

D -  The slope from point O to point A is three times the slope of the line from point A to point B.

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WILL MARK AS BRAINLIEST FOR THESE QUESTIONS.
laiz [17]

1.

Let the sandwich be represented by = x

Let the drink be represented by = y

As given, Joe charges $10.00 for two sandwiches and one drink, so equation becomes 2x+y=10    ....(i)

He charges $6.50 for one sandwich and one drink, so equation becomes x+y=6.50  ....(ii)

Subtracting (ii) from (i) we get

x=3.50

And as x+y=6.50

y=6.50-3.50=3.00

Hence, cost of a sandwich is $3.50 and a drink is $3.00

2.

the question is incomplete. coordinates are missing

3.

Let x represent the number of performances

cost = 8000+300x

revenue = 700x

To break even, the cost must be equal to the revenue.

8000+300x=700x

400x=8000

so x=20

Hence, 20 performances are needed to break even.

4.

Let us take x for 20% material, y for 50% material

\frac{20x+50y}{200}=30

20x+50y=6000    ......... (1)

Accounting for volumes to use, x+y=200 or x=200-y ................ (2)

Putting the value of x in (1)

20(200-y)+50y=6000

4000-20y+50y=6000

4000+30y=6000

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x=200-y = 200-66.67 =133.33

Hence, 133.33 ml of 20% acetic acid and 66.67% of 50% acetic acid is needed.





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(3 ten thousands 2 thousands) x 10
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3 years ago
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