This year the winner of the New York Marathon ran the 8-kilometer event in 24 minutes. What is the runner’s unit rate?

Answers

Answer 1

8km - 24 minutes, to find the unit rate (how long it took to run 1km)

We would make a ratio,

8:24

Now just simplify,

8:24

=

1:3

Therefore the unit rate would be 1 kilometer covered for every 3 minutes.

Answer 2

Answer:

0.33 repeating kilometers per minute. 1km/3min


Related Questions

a rectangle is 3x feet long and 4feet wide.the value of the perimeter (in feet) is equal to the value of the area in square feet. find x

Answers

Answer:

x = [tex]\frac{4}{3}[/tex]  

Step-by-step explanation:

Rectangle:

Length = 3x feet

Width = 4 feet

Perimeter = 2*(length +width)

                = 2* (3x + 4)

                = 2*3x + 2*4

                 = 6x + 8

Area = length * width

        = 3x * 4

        = 12x

Area of rectangle =  perimeter of rectangle

                       12x = 6x + 8              {Subtract 6x form both sides}

               12x - 6x  = 8

                       6x = 8                    {Divide both sides by 6}

                         x = 8/6

                         x = [tex]\frac{4}{3}[/tex] feet

Answer:

3 feet x 4 feet= 12 feet

Step-by-step explanation:

PLSS HEEELLLPPP JESHJDUSUSJSJ

Answers

The answer would be c, multiply them all by 12

How many times bigger is Triangle H than Triangle B ?? Pls help me ty​

Answers

Answer:

4/3

Step-by-step explanation:

Divide one side of Triangle H by 1 side of triangle B to get the scale factor


What is the slope of the line that passes through the points (3,-2) and (1,8)

Answers

Answer:

10/-2= -5

Step-by-step explanation:

slope= change of y/ change of x

For the given expression identify the terms like terms coefficient and constant terms then simplify the expression -8c+-c+1

Answers

Answer:

The simplified expression is : -9c +1

Step-by-step explanation:

The like terms are -8c and -c

The constant term is 1

The simplified expression is :

-8c + -c + 1 = -9c +1

John has a soup recipe that calls for two 14.5-ounce cans of chicken broth. The recipe serves 4 people. He wants to increase the recipe to serve it to a party of 28 people. If John buys chicken broth in 1-quart containers, how many containers does he need?

Answers

Answer:

  6 11/32

Step-by-step explanation:

The two cans of broth used in the recipe total 2·14.5 oz = 29 oz. The number of people John wants to serve is 28/4 = 7 times the number served by one recipe. So, the amount of broth needed is ...

  (29 oz)·7 = 203 oz

Each quart container of broth holds 32 oz, so John will need ...

  (203 oz)/(32 oz/container) = 6 11/32 containers

John needs 6 11/32 containers of broth.

_____

If John must buy the broth, he must buy 7 containers. he will have 21/32 of a container left over after making his soup.

What is the solution to 2x-8<12?
X8
X<10
X40

Answers

Answer:

x<10

Step-by-step explanation:

Isolate X:

2x-8+8<12+8 = 2x<20

Then divide by 2:

2x/2<20/2 = x<10

x<10

-4x + 40 > -4
Solve quick le,ase

Answers

Answer:

x>-39

Step-by-step explanation:

-4x/-4=x

-4/-4=1

1-40=-39

Answer: x is greater than 9 x>9

Step-by-step explanation:

You see -4 times 9 equals to -36. And -36+plus 40 equals to -4. The question is asking you to make sure the left side is greater. So, it has to be greater than 9. for example -4 times 8 equals to -32. And -32+40 equals to 8. So your answer is X>9. I hope that helped you.

please answer HURRY PLEASE (have to have it done before 12:00

Answers

Answer:

Hello, It isn't clear.

It looks blur to me

Answer:

7. C

8. A

To find slope, we need two points. Once we have them, we can put them into the formula:

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]      ← this is rise/run

For 7, it's just a matter of comparing any two consecutive points.

For 8, you are given the two points.

HELPP PLEASE
20 POINTS FOR THIS

Answers

Answer:

45 degrees

Step-by-step explanation:

I used a protractor

120 ≤ 12 k + 29 need help

Answers

The answer is [tex]k[/tex] ≥ [tex]\frac{91}{12}[/tex]

First, you must flip the equation

[tex]12k+29[/tex] ≥ [tex]120[/tex]

Then, you must subtract 29 on both sides

[tex]12k[/tex] ≥ [tex]91[/tex]

Finally, divide both sides by 12

[tex]k[/tex] ≥ [tex]\frac{91}{12}[/tex]

What is the first step in solving the inequality StartFraction m minus 2 Over 6 EndFraction < –1?

Multiply both sides by 6.
Add 2 to both sides.
Change the direction of the inequality.
Change the inequality to ≤.

Answers

Answer:

A) Multiple both sides by 6

Step-by-step explanation:

Edge2020

What is the measure of angle 2?

Answers

142 degrees

Vertical angles are congruent

Answer:

142

Step-by-step explanation:

they are the same length

Here is a five-sided polygon. Show how you could use area-reasoning strategies—decomposing, rearranging, enclosing with a shape, etc.—to find the area of the polygon. (You only need to describe or show how the area could be found; it is not necessary to actually calculate the area.)

Answers

Answer:

i can explain it to you if u want

Step-by-step explanation:

Divide the polygon into 5 triangles by using each side as a base and joining the vertices of the polygon to a common point (for example, the centre). If the polygon is regular the angle at the vertex of each triangle is 360/5=72 degrees, so you have 5 isosceles triangles of equal area. Find the area of one and multiply by 5 to get the total area.multiply 5 times the lenght of oneside

solve for b
thank you :)

Answers

the answer is b=8!! hope this help

Answer:

[tex]b = 8[/tex]

Step-by-step explanation:

First, cross multiply across the equal sign. Note that what you do to one side, you do to the other:

[tex](b+10)(2b-7)(\frac{8}{b+10}) = (\frac{4}{2b -7})(b+10)(2b-7)\\ \\(2b -7)(8) = (4)(b+10)[/tex]

Next, distribute 8 and 4 to their corresponding parenthesis:

[tex]8(2b -7) = 16b - 56\\4(b + 10) = 4b + 40[/tex]

[tex]16b - 56 = 4b + 40[/tex]

Next, isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 56 and subtract 4b from both sides:

[tex]16b (-4b) - 56 (+56) = 4b (-4b) + 40 (+56)\\16b - 4b = 40 + 56\\12b = 96[/tex]

Isolate the variable, b. Divide 12 from both sides:

[tex]12b = 96\\\frac{12b}{12} = \frac{96}{12} \\b = \frac{96}{12} \\b = 8[/tex]

[tex]b = 8[/tex] is your answer.

~

Help ASAP Use the parabola tool to graph the quadratic function f(x)=x2−12x+27.

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer:

2 x-intercepts at 3 and 9

Step-by-step explanation:

x^2-12x+27=0

(factoring)

(x-3)(x-9)=0

this tells us that there is going to be a x-intercept at both 3, and 9, and that there is no stretching of it. It would look like this.

convert 96 ounces into pounds and explain how you determined the answer​

Answers

Answer:

6pounds

Step-by-step explanation:

1 pound = 16 ounces

divide the 96 and 16 to get 6 pounds

Work out 20 percent of 800

Answers

Answer:

160

Step-by-step explanation:

Hi there !

100% ............... 800

20% .......................x

x = 20×800/100 = 16000/100 = 160

Good luck !

Speed of Cart Over Time
35
30
25
20
Speed (miles per hour)
15
10
5
1 2 3 4 5 6 7 8
Time (minutes)
At approximately what time did the speed of the cart begin to decrease?

Answers

Step-by-step explanation:

OMG!!??!!?? SCIENTISTS TRANSFORM 6IX9INE INTO A RAT?!??????!!?! LOOK AT HIM!!!!!!!!

5x + 4 = x + 12

solve!

Answers

Answer:

2

Step-by-step explanation:

Step 1:

5x + 4 = x + 12         Equation

Step 2:

4x + 4 = 12     Subtract x on both sides

Step 3:

4x = 8      Subtract 4 on both sides

Step 4:

x = 8 ÷ 4      Equation

Answer:

x = 2

Hope This Helps :)

Answer:

x=4

Step-by-step explanation

5x+4 = x+12

4x+4=12

4x=16

x=4

When a number is doubled and then increased by 20, the result is 5 less than 3 times the number. What is the number?

Answers

Answer:

2x+20=3x-5 (x=25)

Step-by-step explanation:

2x+20=3x-5

-2x+5

25=x

hope this helps ( a brainliest would be nice too)

The number is equal to 25.

Let the number be n.

To write the word problem as an algebraic equation:

In this exercise, we are required to translate the word problem into a mathematical (algebraic) expression and solve for the unknown variable (number):

Translating the word problem into an algebraic expression, we have;

A number is doubled and then increased by 20:

[tex]2n + 20[/tex]   ...equation 1.

The result is 5 less than 3 times the number:

[tex]3n -5[/tex]  ...equation 2

Equating the two equations, we have:

[tex]2n+20=3n-5\\\\3n-2n=20+5\\\\n=25[/tex]

Read more: https://brainly.com/question/22970937

Are 7x-4y=4 and x-4y=3 Parallel perpendicular or neither​

Answers

Answer:

neither

Step-by-step explanation:

Plot the solution set of |-x|=3.5

Answers

3.5 because anything inside those lines is positive

Answer:

3.5

Step-by-step explanation:

I really Need Help..

Answers

Answer:

Y= -1.2x

Step-by-step explanation:

What is 3 3/5 divided by 2 1/4? :)

Answers

Answer:

1.6 or 8/5

Step-by-step explanation:

my friend needs help someone answer asap

Answers

Answer:

acute and obtuse angles .

1 is an acute angle which means it’s less than 90 degrees. 2 is an obtuse angle which means it’s more than 90 degrees.

Solve the system.

y=−6x−1
3x+4y=17

Answers

Answer:

(-1, 5)

Step-by-step explanation:

Round to 4,725.806
Answer the question

Answers

Answer:

Step-by-step explanation:

Your question is incomplete.  Are you rounding to the nearest 100?  nearest 100,000?

4725806 to the nearest thousand is 4725800.

4725806 to the nearest unit is 4725806.

                 to the nerest ten is 4725810.

10x-5y=20 solve for x

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

20/10

Madison is starting her own sewing business. Madison thinks she will do a better job than her competitors, so she thinks she can charge $13.05 per hour. If she knows she will only be able to work 190 hours per month (that's 47.5 hours per week), how much money will she earn each month?

Answers

Answer:

$2479.5

Step-by-step explanation:

In this problem we will estimate her monthly earnings

given that she earns $13.05 per hour

and also given that she works for 190 hours in a month

then in a month, her earnings will be

=$13.05*190

=$2479.5

alternatively,

per week she works 47.5hours

in a week she will earn 13.05*47.7= $622.485

4 weeks make a month

then after one month her earning will be

$622.485*4= $2479.5

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