2. The table shows distance, y, that Mario runs in x minutes.

Mario’s Running Speed

Time,

(min) Distance,

(mi)

7 | 1

21 | 3

35 | 5









(a) Based on the information in the table, write an equation that can be used to model the relationship between the time (x) and distance (y). Show your work.

(b) What is the rate of change for this linear relationship? Show your work.

(c) What is Mario’s distance given that he ran for 70 minutes? Show your work.

Answer:

Answers

Answer 1
Assuming the left is minutes and the right is distance, Mario runs 1 mile in 7 minutes
(a) y=x/7
(b) the rate of change is 7
(c) if he ran for 70 minutes then his distance is 10 miles.
*for (c) just plug in the number given. Replace it with x and divide it by 7.*

Related Questions

Confused and I need help please

Answers

Y=Mx+b
10=-4(-3/2)+ b
10 = -6 + b
16 = b
Y int =b = 16
use the y=mx+b method and u plug everything in and get your answer

Anyone? Would appreciate it.

Answers

Answer:

correct

Step-by-step explanation:

Find the slope of the line passing through the two points.

(2.1, 3.8), (3.1, 7.6)

Answers

Answer:

3.8

Step-by-step explanation:

Slope formula- m = y2 - y1            

                                x2 - x1      

x1, y1

2.1, 3.8

                                   7.6 - 3.8

                                    3.1 - 2.1   =   3.8

x2,y2

3.1, 7.6                          

You buy 6 items for $25.60. About how much did you spend?
$125
$145
$75
$150

Answers

The answer is 150 because 6 times 25.60 equals 153.6

Answer: About $150.

Explanation: Each item cost $25.60, so I multiplied it into six, equalling about $150.

what is the equation of the line through (2,3) and (0, -1)

Answers

so 3x2 equals 6 and 0 x 1 equals 0 so 0x6 equals 0 so its zero

Answer:

0

Step-by-step explanation:

a rectangle has a length of x3y4 inches a width of xy7 inches. which expression represents the ratio of the length of the rectangle to the width of the rectangle?

Answers

Answer: R = x^2/y^3

Step-by-step explanation:

here we will use the relation:

x^a/x^b = x^(a - b)

We know that:

Length = x^3*y^4

Width = x*y^7

And we want to find an expression that represents the ratio between the length and the width.

Then we just need to take the quotient Lenght/width or:

R = ( x^3*y^4)/(x*y^7)

Now first let's distribute in such way the x's and the y's are separated, and then let's use the relationship that is above.

= (x^3/x)*(y^4/y^7) = x^(3 - 1)*y^(4 - 7) = x^2*y^-3

R = x^2/y^3

The ratio of the length of the rectangle to the width of the rectangle is  [tex]\frac{x^{2} }{y^{3} }[/tex]

Rectangle:

Given that,

Area of rectangle is multiplication of length and width of rectangle.

length of rectangle [tex]=x^{3} y^{4}[/tex] inches

Width of  rectangle  [tex]=xy^{7}[/tex] inches.

the ratio of the length of the rectangle to the width of the rectangle is,

                 [tex]=\frac{x^{3}y^{4} }{xy^{7} } =\frac{x^{2} }{y^{3} }[/tex]

Learn more about the rectangle here:

https://brainly.com/question/19819849

In the middle of a very cold winter night the temperature outside is -20'c at nine o'clock in the morning it has become 30 degrees warmer. What is the temperature at nine o'clock

Answers

Answer:

10°c

Step-by-step explanation:

-20°c + 30° = 10°c

Can I get Brainliest? Plz!

If the weight of a package is multiplied by 3/4 the result is 54 pounds find the weight of the package?

Answers

Answer:

72

Step-by-step explanation:

In order to find the solution to this problem, you would first need to divide 54 by 3, than multiply by 4. You could also multiply 54 by the reciprocal of 3/4, which is 4/3.

15x - 9 = -69 i need help :0 if i dont get this right the world could end

Answers

Answer:

x= -4

Step-by-step explanation:

you would first add the 9 to -69 to get -60 then you would divide -60by 15 to get -4

hope this helps

:)

Answer:

15x=-69+9

15x=-60

x=-60/15

x=-4

Step-by-step explanation:

What is the value of the x variable in the solution to the following system of equations?
4x + 2y = 6
x - y = 3

Answers

Answer:

The solution is x=2 and y=-1

Step-by-step explanation:

(step 1)

4x + 2y = 6

x - y = 3 - then multiply by 2

4x +2y = 6

2x -2y = 6 then add

6x  x   = 12 x = 12/6 = 2

Substitue back in (step 1)

4 x 2 + 2y = 6

   8 + 2y = 6

Answer is = 2y = -2  y= -1

Solution: x= 2

               y= -1

what is the answer
9x plus 2 (2x+3)

Answers

Step-by-step explanation:

=9x+2(2x+3)

=9x+4x+6

=13x+6 I hope so,

Answer :
13x+6

Step by step explanation:
9x+2 (2x+3)
= 9x + 4x + 6
= 13x + 6

One of your friends gives you $10 for a charity walkathon. Another friend gives you an amount per mile. After 5 miles, you have raised $13.50 total. Write an equation in slope-intercept form that represents the amount y of money you have raised after x miles.

y=

Answers

Answer:

y  = 0.70x-  10.00

Step-by-step explanation:

--  Since one friend gave you 10.00 ,subtractthis from the 13.50 to give you the amount earned by walking the 5 miles

--  13.5-10.00  =  $3.50  

--  Since you walked 5 miles, divide by 5 to give you 0.70 per mile earned.

So, an equation that represents the amount of money earned is:  

y  = 0.70x-  10.00  . This is in slope-intercept form; the slope is $0.70 and represents the amount of money earned per mile  and the intercept is $10.00 and represents the initial amount of money that you were given.

A right triangle with a base equal to 24 in and height equal to 18 in.

Answers

Answer: A= 216

Step-by-step explanation:

To which subset of the real number system does -24 belong?

Answers

Answer:

The real numbers have the following important subsets: rational numbers, irrational numbers, integers, whole numbers, and natural numbers. To represent a number on the number line graphically, we plot a point or its coordinate where it is approximately located on the number line.

Marita's nose is 2 inches long and her head is 9 inches tall. Assume Mount Rushmore was carved using the same ratio. If Teddy Roosevelt's head is 60 feet tall, how long should his nose be? Round to the nearest foot, if necessary.
Mount Rushmore

President Roosevelt's nose should be approximately
A feet long.

Plz help it is due in 15 minuites

Answers

Answer:hey guys it’s 13

Step-by-step explanation:

Don’t have an explanation but my teacher just said so and he’s smart so trust me

A bag contains 6 blue marbles, 8 green marbles, 9 red marbles, and 17 yellow marbles. What is the ratio of blue marbles to total marbles?

Answers

Answer: 3:20

Step-by-step explanation: There are 6 blue marbles. Altogether, there are 40 marbles. So it would be 6:40, which simplifies to 3:20.

Please help its7to10 I be waiting like two hours

Answers

Answer:

Please check the explanation!

Step-by-step explanation:

Important factors to remember regarding the like terms:

'Like terms' are terms whose variables such as 2x and 6x are the same. Also if the variables contain the exponents such as 4 in x⁴, they must be the same too.Since the coefficient doesn't affect likeness, therefore we can say that all constant terms would be treated as the like terms.

Question 7

Given the terms

2b     b⁶     b     x⁴     3b⁶     2x²

From the list of terms, there are two groups of like terms which are:

2b     b       (Like terms containing the variable b)

b⁶      3b⁶    (Like terms containing the variable b with the same exponents)

The remaining two x⁴  and 2x² terms are different from each other and the rest of the terms

Question 8

Given the terms

6     2n     3n²     3m²     n/4     7

From the list of terms, there is one group of like terms which are:

6     7       (Constants Like terms)

2n    n/4   (The terms with the same variable n)

All the remaining terms such as 3n², 3m² are all different from each other and the rest of the terms.

Question 9

Given the terms

10k²      m     3³     p/6     2m

From the list of terms, there are there is one group of like terms which are:

m     2m     (The terms withe same variable m)

All the remaining terms such as 10k², 3³, p/6  are all different from each other and the rest of the terms.

Question 10

Given the terms

6³      y³     3y²     6²     y      5y³

From the list of terms, there are two groups of like terms which are:

y³    5y³     (The terms withe same variable m and exponent)

6³     6²      (Constant like terms. Plz don't confuse the power as all are the same constant terms)

All the remaining terms such as y and 3y² are all different from each other and the rest of the terms.

10 divided by 2 would be 5 because it pretty much splits it in equal parts like this if you do each friend get 1 cup of water there is 9 liters so what you do it give each 3 liters of water and that's 9 divided by 3 so you split 3 parts into 9

Answers

Answer:

First of how many friends are there and if each freind get one why are you giving them three and did you count yourself as well

Step-by-step explanation:

I NEED ANSWER ASAP. BRAINLIEST​

Answers

Answer:

Wait I just realized, none of them are cubic? for a polynomial to be cubic it needs to be [tex]x^{3}[/tex]

Determine the point of intersection of right bisectors in a triangle ∆ABC with vertices A (-3, 5), B (1, 1) and C (−7, −3). Find the distance from the point of intersection to each vertex of the triangle.

Answers

9514 1404 393

Answer:

intersection: (-3 2/3, 1/3)distances to vertices: (10/3)√2

Step-by-step explanation:

A) In order to write the equations of the perpendicular bisectors of the segments, we need to know the midpoint and the slope.

The midpoint is the average of the coordinates:

  midpoint(A, B) = ((-3, 5) +(1, 1))/2 = (-3+1, 5+1)/2 = (-1, 3)

  midpoint(A, C) = ((-3, 5) +(-7, -3))/2 = (-3-7, 5-3)/2 = (-5, 1)

The differences between the coordinates of the points can be helpful:

  B-A = (1, 1) -(-3, 5) = (1+3, 1-5) = (4, -4) . . . . . reduces to (∆x, ∆y) = (1, -1)

  C-A = (-7, -3) -(-3, 5) = (-7+3, -3-5) = (-4, -8) . . . . . reduces to (∆x, ∆y) = (1, 2)

_____

A line through point (h, k) perpendicular to one with (∆x, ∆y) can be written:

  (∆x)(x -h) +(∆y)(y -k) = 0

Then the bisectors of AB and AC will be ...

  (x +1) -(y -3) = 0

  (x +5) +2(y -1) = 0

Their intersection point can be found by solving this system.

  (x +2y +3) -(x - y + 4) = (0) -(0) . . . . . subtract the 1st equation from the 2nd

  3y -1 = 0

  y = 1/3

  x = y -4 = -3 2/3

The point of intersection of the right bisectors is (x, y) = (-3 2/3, 1/3).

__

B) The intersection point is the circumcenter. It will be the same distance from any of the vertices.

That distance can be found using any of the vertices. Using point B, we find the distance to be ...

  d = √((-3 2/3 -1)^2 +(1/3 -1)^2) = √((14/3)^2 +(2/3)^2) = √(200/9)

  d = (10/3)√2

The distance to each vertex is (10/3)√2 ≈ 4.71.

PLEASE PLEASE HELP ME IM ALMOST DONE WITH IT DONT BE SHY IM DYING

Answers

Answer:

Umm what did you say anyway. I did not understand.

0.79 is the probability answer. Please vote my answer brainliest! Thanks.

Choose the correct answer to 1,889/36.
42 R17
51 R53
52 R15
52 R17

Answers

Answer:

52 R17

Step-by-step explanation:

52 * 36 = 1872

1889 - 1872 = 17

--> 52 R17

The. Correct answer is 52R17

A snow making machine priced at $1800 is on sale for 25% off. The sales tax rate is 6.25%. What is the sale price including tax? If necessary round your answers to the nearest cent.

Answers

Answer:

1434.375

Step-by-step explanation:

If you multiply 1,800 by 25% you get 1,350

you take 1,350 and add 6.25% because the 6.25% is the tax.

Then you will get 1434.37 or 1434.40

Synthetic Division

(6n^3 - 57n^2 + 69n - 14) ÷ (n - 1/2)

Answers

Answer:

[tex]Lets\ consider\ the\ divisor\ (n-\frac{1}{2})\ as\ g(x) \\In\ order\ to\ perform\ synthetic\ division\ we\ need\ to\ find\ the\ zero\ of\ the\ divisor\ . \\Hence,\\g(x)=0\\n-\frac{1}{2}=0\\n= \frac{1}{2}\\[/tex]

[tex]Now\ we\ must\ write\ the\ dividend\ in\ its\ standard\ form\ and\ seperate\ out\ its\ coeffeicient.[/tex][tex]So,\\\\The\ Coefficients\ will\ be\ in\ this\ order\ : 6,-57,+19,-14[/tex]

                                                                                                                                                                               

                                                                               [tex]\frac{1}{2}[/tex]  | 6     -57    19    -14                                          

                                                                            +   |           3    -27    -4                                                                                            

                                                                                Q =  [6     -54     -8]   |-18 =R              

[tex]Hence,\\The\ acquired\ quotient\ is\ 6n^2-54n-8[/tex]

Hence,

As the divisor is rational,  

The quotient would be multiplied by the zero(1/2).

[tex]Hence,\\the\ final\ quotient\ = 3n^2-27n-4[/tex]

[tex]Remainder =-9[/tex]

                                                                                                                                                                       

What is the solution to
{y=14x+3y=2x+10

Answers

Answer:

The solution is ([tex]\frac{7}{12}[/tex] , [tex]\frac{67}{6}[/tex])

Step-by-step explanation:

∵ y = 14x + 3 ⇒ (1)

∵ y = 2x + 10 ⇒ (2)

→ Equate equations (1) and (2) to find x

14x + 3 = 2x + 10

→ Subtract 2x from both sides

∴ 14x - 2x + 3 = 2x - 2x + 10

∴ 12x + 3 = 10

→ Subtract 3 from both sides

∴ 12x + 3 - 3 = 10 - 3

∴ 12x = 7

→ Divide both sides by 12 to find x

∵ [tex]\frac{12x}{12}[/tex] [tex]\frac{7}{12}[/tex]

x = [tex]\frac{7}{12}[/tex]

→ Substitute the value of x in equation (1) or (2) to find y

∵ y = 2([tex]\frac{7}{12}[/tex]) + 10

∴ y = [tex]\frac{7}{6}[/tex] + 10

y = [tex]\frac{67}{6}[/tex]

The solution is ([tex]\frac{7}{12}[/tex] , [tex]\frac{67}{6}[/tex])

Pls help! What is mSN ?

Answers

Answer:

ur ugly face

Step-by-step explanation:

ooooooooooooooooooooooooooooooo

Given P(A)=0.78P(A)=0.78, P(B)=0.65P(B)=0.65 and P(A\cup B)=0.873P(A∪B)=0.873, find the value of P(A\cap B)P(A∩B), rounding to the nearest thousandth, if necessary

Answers

Answer:

[tex]P(A\ n\ B) = 0.557[/tex]

Step-by-step explanation:

Given

[tex]P(A) = 0.78[/tex]

[tex]P(B) = 0.65[/tex]

[tex]P(A\ u\ B) = 0.873[/tex]

Required

Determine [tex]P(A\ n\ B)[/tex]

From laws of probability, we have:

[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]

Substitute in values

[tex]P(A\ n\ B) = 0.78 + 0.65 - 0.873[/tex]

[tex]P(A\ n\ B) = 0.557[/tex]

Hence, [tex]P(A\ n\ B)[/tex] is calculated to be 0.557

Subtract: 3.8 - 2.923. Explain in your own words how you would solve this, in detail, from start to finish.

Answers

Answer:

Step-by-step explanation:

3.8-2.923

Change to 3.800 to match the number of digits in the second number. Work from right to left. 3 minus 0 is 7. work our way over until the end. You should get 0.877 for an answer.

jason buys 2 baseball bats for $300 what is the unit rate per bat

Answers

Answer:

300/2= $150

Hope this is what you are looking for!

Hurrrryy i neeed hellp The Egyptians needed to know the _________ of everyone’s land so they could determine the amount of taxes one would pay for that land.

A.
inhabitants
c.
shape
b.
size
d.
Egyptians did not pay tax

Answers

Answer:

d. Egyptians did not pay tax

Step-by-step explanation:

If the Egyptians were to pay tax from land they would use the area of the land.

Answer:

size I think, sry if wrong(

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