The graph below shows the relationship between the number of hours and the
number of miles jogged.
Y
16
15
14
13
12
11
10
9
Miles
8
3
2
2
3
5
6
Hours
Based on the information in the graph, what is the unit rate in miles per hour?

Answer: b or c

Step-by-step explanation:

Step-by-step explanation:

Hey there!

Note: Use double point formula for finding the eqaution which passes through two points.

Given;

The points are; (1,-3) and (3,1).

Use double point formula.

[tex](y - y1) = \frac{y2 - y1}{x2 - x2} (y - y1)[/tex]

Put all values.

[tex](y + 3) = \frac{1 + 3}{3 - 1} (x - 1)[/tex]

Simplify it.

[tex](y + 3) = \frac{4}{2} (x - 1)[/tex]

[tex]y + 3 = 2(x - 1)[/tex]

[tex]y + 3 = 2x - 2[/tex]

[tex]y = 2x - 2 - 3[/tex]

[tex]y = 2x - 5[/tex]

Therefore, the eqaution is y = 2x-5.

Alternative:

Steps:

Formula:

The points are; (1,-3) and (3,1).

Now;

Slope= (1- (-3))/(3-1)

= (1+3)/2

= 2

Again;

Using one-point formula.

(y+3) = 2(x-1)

y+3= 2x-2

y = 2x -5

Therefore, the equation is y = 2x-5.

(You can follow up any method you want)

Hope it helps....

Answer:

it would be 36

Step-by-step explanation:

700 - 476 =

 700

+476

______

 1176

Answer: (y+2)+=15(x+3) or (y+1)+15(x-2)

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

The answer is A. y=1/3x+4

Explanation:

Perpendicular means that the slope is flipped and the only answer that has -3 flipped is A.

Answer:

I think its 'r= 15/7=0.467'

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

-2/3(-1/6)

1/9

Answer:

Answers are at the bottom!

Step-by-step explanation:

First answer:The coordinates of the turning point are (-2,-1)

Second answer is (-0.5,5) and (0.5,5)

If i'm wrong please correct me.

Hope this helps!!

Answer:

There's nothing there I believe you forgot to add a link just add or create another question and i'll see what I can do :)

Step-by-step explanation:

Answer:

From my observations, AOB looks like an isosceles triangle, so A=18 and B=18. Since a triangle must add up to 180. We do 180-18-18=144. O= 144. Then, triangle BOC looks like an isosceles triangle as well. So, we do 180-144= 36 so O = 36 and then we 180-36=144/2 because two sides have the same angles giving us 72 degrees for angles B and C = 72 and for O= 36

So,

x = 72

y = 36

Answer:

11

Step-by-step explanation:

30-2(7+2)-1

30-2(9)-1

30-18-1

30-19

11

Answer:

0.0007264

Step-by-step explanation:

I think it is right but if not I am so sorry! Hope this helps!

Step-by-step explanation:

the red point is (4, -5).

so, y - (-5) = -1/7(x - 4)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

|x| = 25

Step-by-step explanation:

Original Equation:

|x - 4| = 21

Just add 4 to both sides

|x| = 25

Hope this helped :)

Answer:

the answer is 25 or -17

Answer:

The 10 dollars for 25 tickets

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2/3+x=3

Step 1: Subtract 2/3 from both sides.

x+ 2 /3 − (2/3 )=3−(2/3)

You'll end up with 7/3 :D

have a great day! :D))

The sum of all the cards of Luann is -14.

One of the four fundamental operations for arithmetic on integers, decimals, fractions, real and complex numbers, as well as in algebraic expressions or on structures related to them, including vector spaces, is sum (also known as addition).

The given numbers on the cards are given as - 12 , 3 and - 5 .

Therefore the addition or sum is equal to :

-12 + 3 + ( - 5 ) =  - 17 + 3 = - 14

Hence the sum of all the cards in LuAnn's card games is -14.

To learn more about sum visit:

https://brainly.com/question/537797

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It depends on which number has the greatest absolute value.

Think about it as money

If you owe me $10, this is shown as -10

Now  if I give you back 2 dollars  (+2), How much money do I still owe you.

The equation is -10+2

I still owe you 8 dollars which is portrayed as -8

Hope this helps :)

Answer:

18 gallons from container [tex]a[/tex] and 22 gallons from the container [tex]b[/tex] to be mixed to get the required mixture.

Step-by-step explanation:

Given that the container [tex]a[/tex] has 20% concentrated cleaner

and container [tex]b[/tex] has pure water which has 0% cleaner.

Let x gallons from container a and y gallons from the container b are mixed to get a 9% concentrated solution.

So,

[tex]9\%\; \text{of}\; (x+y) = (20\% \; \text{of}\; x )+(0\% \; \text{of}\; y)\cdots(i)[/tex]

As the total amount of the final solution= 40 gallons

So, [tex]x+y=40\cdots(ii)[/tex]

Using the value of equation (ii) in equation (i), we have

9% of 40 = 20% of x

[tex]\Rightarrow 0.09\times 40=0.2 \times x[/tex]

[tex]\Rightarrow x=\frac{0.09\times 40}{0.2}[/tex]

[tex]\Rightarrow x=18[/tex] gallons.

From equation (ii),

18+y=40

[tex]\Rightarrow y=40-18=22[/tex] gallons.

Hence, 18 gallons from container [tex]a[/tex] and 22 gallons from the container [tex]b[/tex] to be mixed to get the required mixture.

Answer:

#7) x = 3

#8) x = 9

Step-by-step explanation:

# 7

Well AOB + BOC = AOC so...

4x - 1 + 2x + 15 = 8x + 8 (collect like terms)

6x + 14 = 8x + 8 (subtract 8 on each side)

6x + 6 = 8x (subtract 6x on both sides)

6 = 2x (divide by 2 on both sides)

3 = x

#8

COD + BOC = BOD so..

8x + 13 + 3x - 10 = 12x - 6 (collect like terms)

11x + 3 = 12x - 6 (add 6 on both sides)

11x + 9 = 12x (subtract 11x on both sides)

9 = x

Hope this helps!!

Answer:

Answer is

13000

Step-by-step explanation:

78÷0.6%=13000

Answer:

~17.67

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

7.5^2+16^2=c^2

~17.67

Answer:

Step-by-step explanation:

We use pythagorus theorem which is; a²+b²=c²

(16cm)²+(75/10cm)²=x²

256cm²+225/4cm²=x²

1249/4cm²=x²

√1249/4cm²=√x²

312.25cm=x

Answer:

178 text messages

Step-by-step explanation:

You have do 7.05 times 3 and you get 21.15. Then you do 26.70 minus 21.15 and you get 5.55. Then you do 7.05 divided by 47 then you get 0.15.  SO each messages is 0.15 cents so you do 0.15 times 37 and you get 5.55 and then you add 21.15 and 5.55 and you get 26.70. Then you take 141 and add it to 37 and you get 178 as your answer          

The dimensions of the park are obtained as 180 yards and 140yards respectively.

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

Suppose the width of the rectangle be x yards.

Then, its length is given as x - 40 yards.

Since, the perimeter of a rectangle is given as 2(l + b).

Substitute the corresponding values to get the equation as follows,

640 = 2(x - 40 + x)

=> 640 = 2(2x - 40)

=> 2x - 40 = 640/2

=> 2x - 40 = 320

=> x = 360/2 = 180

Then, the length is given as 180 - 40 = 140 yards.

Hence, the dimensions of the park are obtained as 180 yards and 140 yards respectively.

To know more about Linear equation click on,

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Answer:

t=2x+ 2

Step-by-step explanation:

x is every phone call 2 is how many minutes she spends on each call The other 2 is the 2 minutes she already spended

Answer:

Step-by-step explanation:

t=2+2p

Answer:

Hey there..Sorry but, I don't know the answer to this..! Wish I could help.