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erastova [34]
3 years ago
12

A line has a slope of 2/3 and a y-intercept of −5. Which equations represent the line? Choose all answers that are correct. (MUL

TIPLE CHOICE)
a. -2x + 3y = -15
b. y= 2/3x - 5
c. 6y = 4x - 30
d. (y + 3) = 2/3 (x - 3)
Mathematics
1 answer:
marin [14]3 years ago
7 0
A.         -2x + 3y = -15
    -2x + 2x + 3y = 2x - 15
                     3y = 2x - 15
                      3          3
                       y = ²/₃ - 5
A is correct.

B. y = ²/₃ - 5
B is also correct.

C. 6y = 4x - 30
     6           6
       y = ²/₃x - 5
C is also correct.

D. y + 3 = ²/₃(x - 3)
     y + 3 = ²/₃(x) - ²/₃(3)
     y + 3 = ²/₃x - 2
         - 3          - 3
           y = ²/₃x - 5
D is also correct.

The answer to the problem is A, B, C, and D.
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The ratio of students to teachers at a school is 19 to 1 how many students are there in each total number of people
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<u>Question</u>:

The ratio of students to teachers at a school is 19 : 1. How many students are there in each total number of people?

A: 100 people

b. 280 people

c.440 people

d.760 people

<u>Answer</u>:

A )95 students  and 5 teachers

B)266 students  and 14 teachers

C)418 students  and 22 teachers

D)722 students  and 38 teachers

<u>Step-by-step explanation:</u>

<u><em>A: 100 people</em></u>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{100}{20}

scale factor  = 5

The number students is 19 \times 5 = 95

The number of teachers is 1 \times 5 = 5

<em><u>b. 280 people </u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{280}{20}

scale factor  = 14

The number students is 19 \times 14 = 266

The number of teachers is 1 \times 14 =  14

<em><u>c.440 people</u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{440}{20}

scale factor  = 22

The number students is 19 \times 22 = 418

The number of teachers is 1 \times 22 =  22

<em><u>d.760 people</u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{760}{20}

scale factor  = 38

The number students is 19 \times 38 = 722

The number of teachers is 1 \times 38 =  38

5 0
3 years ago
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