find the constant of proportionality (r) in the equation y=rx

Answer:

1). y = -7/5x - 4

2). y = 1/5x - 5

Step-by-step explanation:

In this question, we have to write the slope-intercept form of the given information.

Slope intercept form is: y = mx + b

Our "m" value is our slope and our "b" value is our y-intercept.

With that knowledge, we can plug in our given information to the slope-intercept equation:

1) slope = -7/5, y-intercept = -4

Plug -7/5 to "m" and -4 to "b"

y = -7/5x - 4

2) slope = 1/5, y-intercept = -5

Plug 1/5 to "m" and -5 to "b"

y = 1/5x - 5

Answer:

396 - 95 = 301

301/43 = 7

7 + 1 = 8

he logged in 8 times if you count the original log in where he had 95

Answer: 8 is the answer

Step-by-step explanation:

Answer:

13.928

Step-by-step explanation:

Answer:

The answer would be that 14 teens have one sibling.

Answer:

x = 35

Step-by-step explanation:

[tex]40 + 2x + 2x = 180[/tex]

Subtract 40 on both sides.

[tex]2x + 2x = 140[/tex]

[tex]4x = 140[/tex]

Divide with 4 on both sides.

[tex]x = 35[/tex]

Answer:

75

Step-by-step explanation:

Jim will finish in 6 days because 300/50=6

So you know that Sam needs to finish the book in at exactly 4 days

300/4= 75 pages per day

Answer:

a lot

Step-by-step explanation:

a lot

Answer: 32768 or [tex]8^5[/tex].

Step-by-step explanation:

[tex]8^7[/tex]= 8x8x8x8x8x8x8 = 2097152

[tex]8^2[/tex]= 8x8 = 64

                                            Dividing Exponents

When you divide exponents with the same base. You subtract. So in this case, you subtract 7 by 2, (being exponents). The same base is 8. So your subtracting [tex]8^7[/tex] by [tex]8^2[/tex]. Which will get you [tex]8^5[/tex].

                                          Dividing Whole Numbers.

You are going to divide whole numbers. Its pretty self explanatory but I will do the math for you anyways.

64 goes into 2097152, 32768 times. Or we can say,

2097152 divided by 64 = 32768.

So the answer is 32768, or [tex]8^5[/tex].

Answer:

n = 3/25

Step-by-step explanation:

5(n-1/10)=1/2

5n = 6/10

n = 3/25

Answer:

Step-by-step explanation:

lets remove the parenthesis

5n- 5/10=1/2

5n=1/2+1/2

5n=1

n=1/5

Answer:

$ 17.5

Step-by-step explanation:

A product that is on 50% sale is half of its original cost. Hence a basketball that is 50% off is half of 35, or 17.5.

Answer: w = -2

Step-by-step explanation:

7w = -14

Divide both sides by 7

w = -2

That was brief but hope it helps!

Answer:

W = -2

Step-by-step explanation:

7W÷7      -14÷7

W= -2

Answer:

$8.98

Step-by-step explanation:

3.59+3.59+1.80

Answer: C. Bisect DE at G.

Step-by-step explanation:

So, for triangle DEF , if we draw the median DG to the opposite side EF.

Here EF is the opposite side to vertex D.

So, G must be the midpoint of line segment EF.

So , we need to first mark G on EF.

i.e. we need to bisect EF at G.

So first step would be : Bisect EF at G.

Answer:

x-intercept= -6 & y-intercept = 8

Step-by-step explanation:

To find the intercepts you just have to put the opposite value as 0 in the equation.

X-intercept:

-4x + 3(0) = 24

Y-intercept:

-4(0) + 3y = 24

Everything times 0 is 0, so it cancels out.

Then it is just simple dividing.

Future reminder:

Just remember this (x,y)

-X-intercept point (?,0)

-Y-intercept point (0,?)

? = any number

Answer:

Step-by-step explanation:

Let x ft be the length of the fence and y ft be the width of the fence.

1. The length of the habitat should be at least 80 feet, then

2. The perimeter of the habitat should be no more than 300 feet. The perimeter of the fences 2x+2y ft, then

3. The system of inequalities that represent the model is

The graph of these inequalities is attached.

Two possible solutions are

1. x=100 ft, y=20 ft (100≥80 and 2·100+2·20=240≤300);

2. x=110 ft, y=30 ft (110≥80 and 2·110+2·30=280≤300).

Answer:

A(5,6)

D(-2,-2)

E(3,-4)

F(2,-6)

Answer:

Step-by-step explanation:

A=(5,6)

D=(-2,-2)

E=(3,-4)

F=(2,-6)

Answer:

373

Step-by-step explanation:

Answer:

373

Step-by-step explanation:

Answer:

I  think is C or B

Step-by-step explanation:

Answer: A

Step by step: I did a test and got it right.

Hope this helps!!! - sorry in a rush -

Answer:

y= -4/3x+8

Step-by-step explanation:

y=mx+b is the equation for a line

m=slope

b=y-intercept

First, find the slope

The formula for the slope is: y2-y1/x2-x1

8-0/0-6=

8/-6=4/-3

Plug the slope into the equation

y= -4/3x+b

Now find the y-intercept.

To do this, plug in the x and y of a coordinate and solve for b

I will use (0,8)

8= -4/3(0)+b

8=b

Plug the y-intercept into the equation

y= -4/3x+8

y= -4/3x+8 is your equation

Answer:

250 + 0.05 (1500)

250 + 75 = $325 david made i a week with 1500 in sales

250 + 0.05(xx) is how much david would make if he sold xx that week

Step-by-step explanation:

i hope this helped :)

A linear function is a function that changes at a constant rate.

The given parameters are:

A linear function is represented as:

[tex]C(x) = b + mx[/tex]

Where:

So, we have:

[tex]C(x) = 250 + 5\% \times x[/tex]

Express 5% as decimal

[tex]C(x) = 250 + 0.05 \times x[/tex]

[tex]C(x) = 250 + 0.05x[/tex]

On a sale of $1500, the equation becomes

[tex]C(x) = 250 + 0.05 \times 1500[/tex]

[tex]C(x) = 325[/tex]

Hence. David would make $325 if he made $1500 in sales, and he would make 250 + 0.05x if he made $x in sales

Read more about linear equations at:

https://brainly.com/question/14323743

Answer:

24?

Step-by-step explanation:

Answer:

0.9 when I put it in the calculator

Answer: -2x(5y+6)

Step-by-step explanation:

Answer: Rr.3,000

Step-by-step explanation:

The interest is the amount that accrues on a principal that was invested or a cost that was incurred.

It is based on a certain interest rate which in this case is 15%.

The principal is Rr. 20,000.

Interest = Principal * Interest rate

= 20,000 * 15%

= Rr.3,000

Answer:

160 miles per hour

Step-by-step explanation:

640/4=160

960/6=160

Answer:

252 square feet

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

67/20   improper fraction when changed to a mixed number is

3 7/20

that is equal to

3 14/40

To solve this, you need to plug in the numbers for h.

-4(-12) ≥ 8       48 ≥ 8  yes

-4(-7) ≥ 8         28 ≥ 8  yes

-4(-5) ≥ 8        20 ≥ 8  yes

-4(-3) ≥ 8        12 ≥ 8  yes

-4(-2) ≥ 8         8 ≥ 8  yes

-4(-1) ≥ 8         4 ≥ 8  no

-4(1) ≥ 8          -4 ≥ 8  no

-4(3) ≥ 8         -12 ≥ 8 no

-4(8) ≥ 8         -32 ≥ 8  no

Hope this helped!