Athlete J runs 2/3 of a mile in 8 minutes. Athlete H runs 2 3/4 miles in 1/2 hour.
If Athlete J continues at that speed, how long will it take to run one mile?

Answers

Answer 1

The speed of an athlete or a car or bicycle is given by the time it takes the athlete or car to complete a unit distance.

The time it would take runner J to complete 1 mile is 12 minutes

Reasons:

The time it takes athlete J to run 2/3 miles = 8 minutes

The time it takes athlete H to run [tex]2\frac{3}{4}[/tex] miles = [tex]\frac{1}{2}[/tex] hour

Required:

The time it would take athlete J to run one mile

Solution:

[tex]\displaystyle \frac{2}{3} \ mile \ takes \ runner \ J \ 8 \ minutes[/tex]

Therefore;

[tex]\displaystyle \frac{\frac{2}{3} \ mile}{\frac{2}{3} } \ takes \ runner \ J \ \frac{8 \ minutes}{\frac{2}{3} }[/tex]

[tex]\displaystyle \frac{\left(\frac{2}{3} \ mile \right)}{\left(\frac{2}{3} \right) } = 1 \ mile \ takes \ \frac{8 \ minutes}{\frac{2}{3} } = 8 \ minutes \times \frac{3}{2} = 12 \ minutes[/tex]

1 mile takes 12 minutes

It would take runner J 12 minutes to run 1 mile.

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Related Questions

Which of the following is the correct equation for this function?
A. v=2x² + x - 2
B. v= 2x^2 - 4x
C. 1= (x+1)(x-2)
D. V+1=2(x - 3)^2

Answers

Answer:

  B. y = 2x^2 - 4x

Step-by-step explanation:

The point (0, 0) lies on the graph, so the equation has no constant term (the constant is zero). Only one answer choice has this characteristic:

  y = 2x^2 -4x

There is a sale on a gallon of milk at the grocery store. The original price was $2.99 and the new price is $2.49. What is the percentage of decrease on the gallon of milk? Round your answer to the nearest whole percent

A) 17%
B) 50%
C) 23%
D) 20%

Answers

The answer is B because if you subtract 99 and 50 your get 49

anwer this question.
no link or u are at risk​

Answers

Answer:

where's the question? can you post a screenshot

What is the equation of the line in slope intercept form? Help 30 points!​

Answers

Answer:

y = 2/3x - 7

Step-by-step explanation:

(3, -5) (-3, -9)

and y = -7 when x = 0  from graph

so c = -7

m = -9 - (-5)  / -3 - 3

= -4 / -6

= 2/3

line equation is y = mx + c

y = 2/3 x + (-7)

y = 2/3x - 7

[tex]\\ \sf\longmapsto m=\dfrac{-9+5}{-3-3}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{4}{6}[/tex]

[tex]\\ \sf\longmapsto m=2/3[/tex]

b=-7

Now

Equation of line

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{2}{3}x-7[/tex]

What is your rate of change if you travel 350 miles in 6 hours

Answers

Answer:

58.33 miles per hour

Step-by-step explanation:

[tex]\frac{350Miles}{6Hours} =58.33mph[/tex]

I hope this help you

Please explain step by step.
(Good answers with good explanation only please.)

Answers

Answer:

A

Step-by-step explanation:

x= total number of sets bought

y= total cost

Since each set costs 3 dollars, we can represent that with the equation y=3x, and the teacher also had a 2 dollar coupon, so we can subtract 2 from the equation, giving us y=3x-2

So, by looking at the charts, plug in x (the input), and see if the y (output) is the same as the equation represents.

So, the answer is A. To test, plug in the x and see if it gives the right y.

For example, 3 sets bought (x), so it will be represented as,

y=3x-2

y=3(3)-2

y=7

So when 3 is x, y is 7. Which is what answer choice A shows.

What is (8/9)divided by (6/7) and simplified

Answers

Answer:

(28/27)

Step-by-step explanation:

Answer:

Exact Form:

28/27

Decimal Form:

1.037

Mixed Number Form:

1 1/27

Step-by-step explanation:

In a large resturanat an average of 2 out of every 5 customers ask for chilies with their meals. A random sample of 15 customers is selected. Find the probability that i. Exactly 7 customers ask for chilies with their meal ii. Less than 3 customers ask for chilies with their meals.

Answers

Answer: plz mark me as a brainliest

Step-by-step explanation:

plz mark me as a brainiiest

4.
Which of the following describes the parabola with the equation y = −x2 − 3x + 6?

A. The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).

B. The axis of symmetry is x = 1.5 and the vertex is (1.5, 12.75).

C. The axis of symmetry is x = −1 and the vertex is (−1, −3).

D. The axis of symmetry is x = 0 and the vertex is (0, 6).

Answers

Answer:

B.    The axis of symmetry is x = 1.5 and the vertex is (1.5, 12.75).

Step-by-step explanation:

I will solve the problem by applying the perfect square trinomial. In this way we obtain the canonical form. Another way would be to derive the function, but I don't know if you're familiar with it.

First: let us take out the common factor: , since we remember that the canonical form is characterized as follows:

Then, it remains:

Then: the coefficient of the variable  We divided it between , And we square it (they will be one positive and one negative). In our case:

Let's accommodate terms to make it easier:

Can be written as :

Now, what is underlined is our perfect square trinomial, let us recall its form:

Applying the same principle we are left:

Applying distributive property we get:

Therefore it will have its vertex in:  

The axis of symmetry is a straight line that makes the function to be projected being , for this you need some reference point, for the parabola you need the coordinate in  of the vertex.

For which the axis of symmetry is .

-1.5

...............................................................................................................................................

Answer:

b

Step-by-step explanation:

−6×(−1)=?minus, 6, times, left parenthesis, minus, 1, right parenthesis, equals, question mark

Answers

Answer:

6

Step-by-step explanation:

When you multiply two negative numbers, the result becomes posititve

PLSS HELP ILL GIVE POINTS!!!!

The fee for a cleaning service is described in the table below.

Write an equation to represent the data in the table.

Answers

Answer:

y=16x+36

Step-by-step explanation:

cleaning services start at $36 for one hour and add $16 to total price per hour.

16(1)+36=52

16(2)+36=68

16(3)+36=84

16(4)+36=100

I need helpppp ahhhh

Answers

Answer:

x=-4

Step-by-step explanation:

[tex]\frac{1}{2}[/tex](4x-6)+x-3=2(x-5)

  2x-3+x-3=2x-10

         3x-6=2x-10

       3x-2x=-10+6

               x=-4

How does the equation of a quadratic function in vertex form highlight key features of the function’s graph?

Answers

9514 1404 393

Explanation:

Vertex form of a quadratic can be written as ...

  a(x -h)² +k = 0 . . . . . . vertex (h, k); scale factor 'a'

First of all, it highlights the vertex (x, y) = (h, k), which is the extreme maximum or minimum of the function. That also tells you the axis of symmetry, (x = h).

Vertex form also shows you the vertical scale factor. The sign of that tells you whether the graph opens upward (positive) or downward (negative). The numerical value of it tells you the vertical distance from the vertex to points ±1 unit either side of the vertex.

The roots of the quadratic will be ...

  x = h ±√(-k/a)

These will be complex if the graph does not intersect the x-axis.

Answer:

From the vertex form  ()=(−)+ , you can find the vertex  (,)  and see whether the parabola opens upward (if  > ) or downward (if  < ). From a graph, you can read the coordinates of the vertex and substitute into the vertex form. With the coordinates of one other point, you can solve the equation to find a and write the equation of the quadratic function in vertex form.

Can someone please scallion or show me what I could do to get this answer?

Answers

Answer:

six hundred and five thousand

Step-by-step explanation:

Please help me with this, it’s due today!

Answers

Answer:

hello i am new to brainly. i am new to this app im just trynna figure this app

Step-by-step explanation:

HELP IMMA NEED YALLS HELP

Answers

Answer:

Discount: $2.10

Final Cost: $11.90

Step-by-step explanation:

14 times 15% is 2.10.

So, you would take that $2.10 and subtract it from $14.00 to get your answer of $11.90

Graph AFGH with vertices F(-2,2), G(-2,-4), and H(-4,-4) and its image after the similarity transformation.
Rotation: 180° about the origin
Dilation: center (2,-2) and k = 2

Answers

Answer:

i think its 5

Step-by-step explanation:

im not sure if its 5 or not but im guessing

Which list of ordered pairs represents a function?
A.(0,4), (1, 2), (1,3), (2, 4)
B.(0,4), (0, 2), (1,3), (2, 4)
C.(1,4), (2, 2), (4,3), (3, 4)
D.(2, 2), (0, 2), (1,3), (2, 4)

Answers

bearing in mind that a function never has X-repeats, or namely the 1st value of each coordinate is never repeated, let's check these ones, who has an X-repeat and doesn't, Check the picture below.

Are fractions reversible? why or why not

Answers

Answer:

Yes

Step-by-step explanation:

if you think of a slope equation, for example y= 3x + 2, if you do the opposite reciprocal, you would get-1/3 because you flip it around, and you flip the sign.

if g= 57 and f= 54 find h

Answers

Answer:

It's D

Step-by-step explanation:

3. Which expression is equivalent to
5x – 30?

Answers

Answer:

5x-30=5(x-6)

Step-by-step explanation:

Write an Integer for the situation,
300 feet below sea level
A -300
B 600
C -600
D 300

Answers

It would be A -300 sense sea level would be zero and it’s 300 feet below sea level
Below means negative

Answer: A. -300

Step-by-step explanation: I hope this helps!

A bank teller has 54 dollar bills totaling $780 in her cash drawer. Her drawer has 5 and 20 dollar bills. How many 5 dollar bills are there?

Answers

Answer:

156 5 dollar bills

Step-by-step explanation:

1. Describe the difference between a relation and a function.​

Answers

Answer:

The difference between a relation and a function is that a relationship can have many outputs for a single input, but a function has a single input for a single output. This is the basic factor to differentiate between relation and function. Relations are used, so those model concepts are formed.

A relation can have many outputs for a single input but a function has a single output for a single input. For example if there’s (2,4), and (3,4) that’s a relation but a function can’t have any repeating numbers on either point

An isolates right triangle has a hypotenuse of 6. Find the
length of the leg. Round to the nearest tenth.

Answers

Check the picture below.

Hypotenuse of the ∆ = 6Given that it is an isosceles right triangle.So, its opposite sides will be equal.Therefore, the height of the ∆ = the length of the leg of the ∆Let the length of the leg be x.In the right triangle,

[tex] {x}^{2} + {x}^{2} = {6}^{2} \: \: \: (by \: \: pythagoras \: \: \: theorem) \\ = > {2x}^{2} = 36 \\ = > {x}^{2} = \frac{36}{2} \\ = > {x}^{2} = 18 \\ = > x = \sqrt{18} \\ = > x = \sqrt{2 \times 3 \times 3} \\ = > x = 3 \sqrt{2 } \\ = > x = 4 .2[/tex]

Answer:

Answer:The length of the leg is 4.2 units.

Hope you could get an idea from it.

Doubt clarification - use comment section.

RS = 2x + 10
ST = x - 4
RT = 21

Answers

Answer:

x = 5

Step-by-step explanation:

RS  +ST =  RT

2x + 10 + x - 4 = 21

2x + x + 10 - 4 = 21   {Combine like terms}

3x + 6 = 21

Subtract 6 from both sides

3x = 21 - 6

3x = 15

Divide both sides by 3

x = 15/3

x = 5

Which statement about the two triangles is this correct

Answers

Answer:

option 1 is correct .. triangle ABC is congruent to DEF..

Identify the slope (m) y-intercept (b) of the table below. Then, construct the linear equation for the table below in the form f(x)=mx+bf(x)=mx+b

Answers

Answer:

m= -1

y intercept= 1

y= - x + 1

Step-by-step explanation:

b. Convert kilograms to grams.
18.2 kilograms = __*(
X
x-
X
grams

Answers

Answer:

18.2 kilograms =

18,200 grams

An arts academy requires there to be 5 teachers for every 95 students and 6 tutors for every 48 students. How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has ​78 students?

(no link)

Answers

Answer:

10 tutors

Step-by-step explanation:

48/6 = 8 student/tutor

78/8 = 9.75 tutors

10 tutors

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