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Angelina_Jolie [31]
3 years ago
12

Solve the proportion 3/16 = 9/y

Mathematics
2 answers:
hichkok12 [17]3 years ago
7 0
I believe this is how you do it!

tamaranim1 [39]3 years ago
5 0
ANSWER(S):

y=48

EXPLANATION(S):

\frac{3}{16}* \frac{3}{3}= \frac{9}{48}

y= 48
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Alex took 31 exams for 5 years studying at the MaPhAs University. Each year, he took more exams than the previous year. During h
katen-ka-za [31]

Answer:

The fourth year he took 8 exams

Step-by-step explanation:

We must do it by trial and error:

We must start from the first year:

A = 1 exam

If the first year he took 1 exam, the last year he did 3, but this answer is not possible because the rule that the more the years pass, the more exams he does, is not fulfilled.

A = 2 exams

In this case, if it is true that each year increases, but it does not meet the total rule, since:

Year 1 = 2

Year 2 = 3

Year 3 = 4

Year 4 = 5

Year 5 = 6

2 + 3 + 4 + 5 + 6 = 20

A = 3 exams

Therefore the fifth year would be 9, therefore it would be:

Year 1 = 3

Year 2 = 4

Year 3 = 5

Year 4 = 6

Year 5 = 9

3 + 4 + 5 + 6 + 9 = 27

This means that we are missing 4 units to reach 31, therefore we must add 4 units between years 2, 3 and 4, but always bearing in mind that each year should increase with respect to the previous one.

If we add 2 exams to year 4, 1 exams to year 3 and 1 exam to year 2, we would have the following results:

Year 1 = 3

Year 2 = 5

Year 3 = 6

Year 4 = 8

Year 5 = 9

3 + 5 + 6 + 8 + 9 = 31

Which means that in the fourth year he took 8 exams

8 0
3 years ago
Identify an equation in slope intercept form for the line parallel to y= -2/3x+8 that passes through (4, -5)
Evgen [1.6K]

Answer:

3y = -2x -7

Step-by-step explanation:

The equation of the line;

     y = -\frac{2}{3}x + 8

Unknown:

Equation of the line passing through (4, -5);

Solution:

To solve this problem;

    the equation of a line is given as;

        y = mx + c

where x and y are the coordinate

           m is the slope

          c is the intercept

To solve this problem,

  The slope  -\frac{2}{3} if the same as that of the new line since they are parallel;

Equation of the new line;

    x  = 4 and y = -5

     -5 =  -\frac{2}{3} x 4 + c

      -5 = -\frac{8}{3} + c

       c  = -5 + \frac{8}{3}

       c = -\frac{7}{3}

So, the equation of the line is;

    y =  -\frac{2}{3}x - \frac{7}{3}

 or ;

     3y = -2x -7

7 0
3 years ago
One box of nails weighs 3.4 pounds and another box weighs 5.2 pounds. How much more does the heavier box weigh?
storchak [24]

Answer:

1.8 pounds

Step-by-step explanation:

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3 years ago
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Rotation 90° clockwise about the origin
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2 years ago
As of the due date, your progress bar shows that you have completed 80% of a SmartBook assignment. After the assignment due date
inessss [21]

Answer:

80%

Step-by-step explanation:

The Score on the Connect reports show the level of complation of the SmartBook assignment till the due date.

Thus, the work done after the due date is not reflected in the Connect reports score.

Since you have completed 80% of the assignment <em>before</em> the due date, your score is 80%

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