Harvey is 3 times as old as Jane. The sum of their ages is 52 years. Find the age of each. Jane is 13 and Harvey is 39 Jane is 12 and Harvey is 48 Jane is 13 and Harvey is 48

Answer:

y= 5/6x -6

Step-by-step explanation:

[tex]m =\frac{5}{6} \\(12,4)=(x_1,y_1)\\\\[/tex]

Substitute values into point slope form

[tex]y-y_1 =m(x-x_1)\\\\y - 4 = \frac{5}{6} (x-12)\\\\y-4 = \frac{5}{6} x -10\\\\y=\frac{5}{6} x -10+4\\\\y = \frac{5}{6} x -6[/tex]

The equation of the line that has a slope of 5/6 and passes through (12, 4) will be y = 5/6) x - 6.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is 5/6. Then the equation of the line will be

y = (5/6)x + c

The equation of the line is passing through (12, 4), then the value of c will be

4 = (5/6) 12 + c

4 = 10 + c

c = -6

Then the equation of the line will be y = (5/6)x - 6.

More about the linear equation link is given below.

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Answer:

Distributive property is not applied currently in Step 1

Step-by-step explanation:

3(x + 15) = y

3x + 45 = y rather than 3x + 15 = y

Answer:

i hope it helps you and best of luck : )♥

Answer:

C. Multiply/divide both sides by the same non-zero constant

A. Yes

Just Did It On Khan Academy

Step-by-step explanation:

To get equation A from equation B multiply/divide only one side by a non-zero constant option (C) Multiply/divide only one side by a non-zero constant is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

Two linear equations:

A.   3(x + 2) = 18

B.    x + 2 = 18

In equation B multiply by 3 on one side:

3(x + 2) = 18

Thus, to get equation A from equation B multiply/divide only one side by a non-zero constant option (C) Multiply/divide only one side by a non-zero constant is correct.

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Answer:

14 blocks

Step-by-step explanation:

next time plz add a grid :(

Answer:

x is 4

Step-by-step explanation:

Step one: Add 12x to both sides-

8x-19+12x=-12x+61+12x

20x-19=61

Step 2: add 19 to both sides

20x -19+19=61+19

20x=80

Step 3: divide both sides by 20

20x/20=80/20

x=4

Answer

X(2, -8)

Step-by-step explanation:

-8 and -3 have a distance of 5

6 and -1 have a distance of 7

-3 + 5 = 2

-1-7 = -8

(2, -8) is the answer

The coordinates of the Point X will be -  X(2, -8).

The Mid - point of the line segment is at coordinates -  M(- 7.5, 0.5)

We have two coordinate points -  M(-3, -1) and  Y(-8, 6)

We have to find the coordinates of the Point X.

It states that a line with endpoint coordinates as - [x(1), y(1)] and

[x(2), y(2)] has its mid - point at the coordinates -

[tex](X_{m} ,Y_{m}) =[/tex] [tex](\frac{x(1) + x(2) }{2}, \frac{y(1) + y(2)}{2} )[/tex]

According to question, we have -

coordinates of Mid - Point = (- 3, -1)

coordinates of Y = (- 8, 6)

Using the Mid - Point formula -

-3 x 2 = x(1) - 8

x(1) = - 6 + 8

x(1) =  2

and

-1 x 2 = y(1) + 6

y(1) = -2 - 6

y(1) = - 8

Hence, the coordinates of the point X will be - X(2, -8)

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Answer:

See Below

Step-by-step explanation:

Isolate x, so add 5 to each side

-2.49 =  -5 + x

+5.00    +5

3.49 = x

Answer:

x= 251/100

=2.51

How: -2.49=-5+x

              +5 =+5

          2.51=x

Answer:

2. 21

3. no is 14

4. 0

5. 22

Answer:

12+2x=46     x=17 cookies

Step-by-step explanation:

First you are going to double the number of students because each student is getting 2 cookies. Then you will subtract 12 from 46 and that gets you 34. Then you will divide 2 by 34 to get how many cookies she needs to bake. 17 more cookies. To check your work plug in 17 by the x. so 2 times 17 is 34 plus 12 is 46 so that answer is correct.

Answer:

Function 2 has the larger maximum at 1, -14

Explanation:

When you graph the equation, you can find the maximum of function 2 at 1, -14

Answer:

Answer will be the 7/3<x>7/3

Answer:

[tex]\frac{87}{100}[/tex]

Step-by-step explanation:

[tex]\frac{87}{100}[/tex] because 87 is a whole number

[tex]\frac{87}{10}[/tex] if 87% was written as 870.00%  [tex]8.70 x 100[/tex]

[tex]\frac{87}{1000}[/tex] if 87% was written as 8.7%

[tex]\frac{8.7 x 10}{100 x 10}[/tex]  

Answer:

[tex]26y-9x[/tex]

Step-by-step explanation:

[tex]5y-9x+21y[/tex]   Add 21y and 5y.

Hope this helps, have a great day:)

Answer:

Step-by-step explanation:

V = π r² h

where r = 3 cm

V = 36π cm³

solve for h

plugin values into the formula:

36π = π 3² h

h = 36π

      π 3²

h = 4 cm

Answer:

  26 square units

Step-by-step explanation:

Reflection and translation are rigid motions that do not affect the size or shape of the triangle. It has the same area as the original: 26 units².

Answer:

1.25

Step-by-step explanation:

I did the math

each notebook is 1.25

if u multiply by 7 it makes 8.75

Answer:

each note bok cost 1.25

Step-by-step explanation:

27.25-15=12.25

12.25-3.50=8.75

8.75/7=1.25

Answer:

q = 3.5

Step-by-step explanation:

-15 = 5(3q - 10) - 5q

-15 = (5*3q + 5*-10) - 5q

-15 = 15q - 50 - 5q

-15 + 50 = 15q - 5q

35 = 10q

q = 35/10

q = 3.5

Check:

-15 = 5(3*3.5 - 10) - 5*3.5

-15 = 5(10.5 - 10) - 17.5

-15 = 5*0.5 - 17.5

-15 = 2.5 - 17.5

Answer:

27kg

Step-by-step explanation:

each kilogram of apples are $10 so you do 270 divided by 27 is 10

Answer:

4x^2+3x-6

Step-by-step explanation:

instructions included above :)

B. NPO

Because P is the middle letter in the arc.

Answer: B. NPO

Step-by-step explanation: the angle has to be in middle