Athlete J runs 2/3 of a mile in 8 minutes. Athlete H runs 2 3/4 miles in 1/2 hour.
1. If Athlete J continues at that speed, how long will it take to run one mile?
2.How long will it take Athlete J to run 5 miles at that same speed?
3.Who runs faster, Athlete J or Athlete H? Explain your answer.

Answers

Answer 1

If Athlete J continues at that speed, it will take 12 minutes to run 1 mile

It will take Athlete J 60 minutes to run 5miles

Since the speed of Athlete H is greater than that of J, hence Athlete H runs faster.

The formula for calculating the speed of the athlete is expressed as:

Speed = Distance/Time

1) If Athlete J runs 2/3 of a mile in 8 minutes, this can be expressed as:

2/3 miles = 8 minutes

If the athlete runs for 1 mile, then;

1 mile = x

Divide both expressions

2/3 = 8/x

2x = 24

x = 12 minutes

Hence If Athlete J continues at that speed, it will take 12 minutes to run 1 mile

2) if athlete J run 5 miles, the time taken will be expressed as;

2/3(5) = 8/x

2/15 = 8/x

2x = 120

x = 60minutes

Hence it will take Athlete J 60 minutes to run 5miles

3) If Athlete H runs 2 3/4 miles in 1/2 hour, then the speed of athlete H will be expressed as:

Speed = (2 3/4)/0.5

Speed = 2.75/0.5

Speed = 5.5miles/hr

For Athlete J;

Speed = 5/1

Speed = 5 miles/hr

Since the speed of Athlete H is greater than that of J, hence Athlete H runs faster.

Learn more here: https://brainly.com/question/13262646


Related Questions

The town of Lantana needs $14,000 for a new playground Lantana elementary school raised 5358, Lantana Middle School raised $2,834 and Lantana High school raised $4132. about how much more do they need to raise? Choose the best estimate.


1. 500
2. 2,000
3. 3000
4. they already raised enough money.

Answers

Answer: The answer is actually 1,676. But you can estimate it to 2,000. so the town of Lantana would have about 2,000 dollasrs left to raise to reach there goal.

Step-by-step explanation:

You would first make sure you add all the number like 5,358+2,834+4,132. And once you get you answer you subtract 14,000 from the number you got!

I really hope that helps.

A circle of 5 cm radius is drawn, and another circle 3 cm radius is drawn. What is the radius of a circle that has the same area as the bigger one excluding the cut one?
(a) 2 cm
(b) 3 cm
(c) 4 cm
(d) 5 cm

Answers

Answer:

4 cm

Step-by-step explanation:

Please help rn!!!!!!!!

Answers

Answer:

The correct answer is H: c=2A/h-b

Step-by-step explanation:

A=1/2(b+c)h

Multiply both sides by two: 2A=(b+c)h

Divide both sides by h: 2A/h=b+c

Subtract b: 2A/h+b=c

Math is really difficult for my smooth brain

Answers

Answer:

77

try to multiply the 0.85 so u can find a suitable number for the dividend.

What temperature should I cook this

Answers

fish or while or you or ne or sex

Answer:

350

Step-by-step explanation:

you should cook it between 350-365

The low temperature on a certain day is 51°F. The low temperature is 17°F lower than the high temperature, h.

Which equation can be used to find the high temperature for that day?


51 = 17h

51 = h + 17

51=h−17

h + 51 = 17

Answers

51=h-17

You’re trying to find a certain high temperature. You know that the low is 51°, which is 17° lower than the high temperature(h). With this information, you can find that h=68 (51+17). To get from 68° to 51°, you would subtract 17°. Making the equation 51=h-17.

Answer:

c. 51=h−17

Step-by-step explanation:

the other ones dont make since and C is the only one that does.

Evaluate N2 + 2N + 1 for N = 5.

51
36
21

Answers

Answer:

36

Step-by-step explanation:

N^2 + 2N + 1

Since we are given N = 5, we just substitute N for 5

(5)^2 + 2(5) + 1

25 + 10 + 1

36

Answer: 36

Step-by-step explanation:

5*5 + 5*2 +1 = 25 + 10 + 1 = 36

At a certain time of day, a tree that is x meters tall casts a shadow that is x - 23 meters long. If the distance from the top of the tree to the end of
the shadow is x + 2 meters, what is the height, x, of the tree?

Answers

Answer:

The height, x of the tree is 35 meters

Step-by-step explanation:

use Pythagorean  theory to answer

(x+2)^2= x^2+(x-23)^2

[tex]x^{2}[/tex]+4x+4=[tex]x^{2}[/tex]+[tex]x^{2}[/tex]-46x+529

re-arrange the equation and collect like terms

[tex]x^{2}[/tex]-50x+525=0

(x-35)(x-15)=0

x=15 or x=35

x cannot be 15 because 15-23 is a negative answer

therefore the height of tree is 35 m

ASAP!!!

What is the range of the function on the graph?

A all the real numbers
B all the real numbers greater than or equal to 0
C all the real numbers greater than or equal to 2
D all the real numbers greater than or equal to -3

Answers

Answer:

D all the real numbers greater than or equal to -3

Step-by-step explanation:

Select the sequence of transformations that are the inverse of rotating a figure 90° counterclockwise and then reflecting it over
the x-axis.
-))
A)
Reflect it over the line y = -x and then reflect it over the x-axis.
B)
Rotate the image 270° counterclockwise and then reflect it in the x-axis.
Rotate the image 180° counterclockwise and then reflect it in the x-axis.
D)
Reflecting it over the x-axis, then over the y-axis and finally over the line y
= X

Answers

B is the answer because it results in the shape being opposite of the original.

Jared's car can travel 320 miles on 1 tank of gasolin. The gas tank of his car holds 22.4 gallon. If one gallon of gas costs $3.46, how much did he pay in gasif he travelled 563 miles. Round answer to nearest hundredth.

Answers

Answer:

39.8, $51.00

Step-by-step explanation:

Help! Give brainliest!

City A grows by 5% every year. In 2001, it has a population of 145,201. What will the population be in 2037?

Answers

Initial population=145,201

Total years=2037-2001=36

[tex]\\ \sf\longmapsto S=P\left(1+\dfrac{r}{100}\right)^t[/tex]

[tex]\\ \sf\longmapsto S=145201\left(1+\dfrac{5}{100}\right)^{36}[/tex]

[tex]\\ \sf\longmapsto S=145201\left(\dfrac{105}{100}\right)^{36}[/tex]

[tex]\\ \sf\longmapsto S=145201(1.05)^{36}[/tex]

[tex]\\ \sf\longmapsto S=145201(5.79)[/tex]

[tex]\\ \sf\longmapsto S\approx 840713[/tex]

>> Answer

___________

[tex]\:[/tex]

Answer in the picture.

find the quotient. (2^4x+4) ÷ (2^x+1)

Answers

Answer:

(16x/2^x+1) + (4/2^x+1

Step-by-step explanation:

the parentheses are there so you know the two arent beside each other

what are the first 4 multiples of 4.

Answers

Answer:

the first 4 multiples of 4

Multiples of 4: 4, 8, 12, 16,

Step-by-step explanation:

Answer:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …

Step-by-step explanation:

please mark as brainlist

pls help I have headache i try everything ​

Answers

Answer:

210 students

Step-by-step explanation:

30%=63

10%=63÷3

      =21

100%=21×10

        =210

he perimeter of a rectangular field is 342m If the length of the field is 92m what is its width?

Answers

Answer:250

Step-by-step explanation:

342-92

if 1 = 33 seconds how much would 1hour be?

Answers

it would be about 109 because since there is 3,600 seconds in a hour you would have to divide 3,600 by 33

72 boxes out of 90 sold what percentage sold

Answers

Answer:

is what is the math thing at you need help with huh

GIVING 100 POINTS AND BRAINLIEST IF CORRECT! You recently upgraded your experience by buying an Controller for $74.99 and an Game Pass Subscription for $14.99 per month.

Answers

Answer:

Part A: It's linear because it increases at a constant rate of 14.99 dollars per month

Part B: C = 14.99M + 74.99 (y = 14.99x + 74.99)

Step-by-step explanation:

Part A: Every month, you have to pay the same amount.

1 month = 14.99

2 months = 14.99 + 14.99

3 months = 14.99 + 14.99 + 14.99

So, it's linear.

Part B: We have to use the formula y = mx + b, or slope-intercept form, to represent the total cost per month.

m = slope,   b = y-intercept (initial value)

Let's have the total cost  be represented as C

Let's also have the subscription per month be represented as M

So, C would = 74.99, because we only need to pay for a controller once

But we also our subsription per month, M, as 14.99.

So our final answer would be C = 14.99M + 74.99, or y = 14.99M + 74.99 if you can't make your own variables

I wanted to get more indepth. Try adding this to notes! <3

assume that y varies directly as x. if y=7 when x=4, find y when x=12

Answers

Answer:

y = 21

Step-by-step explanation:

since y = 7 as x = 4, therefore, when x = 12, y = 21

Think about it. if you divide 7 by 4, you get 1.75 and if you divide 21 by 12, you get 1.75. That means that from 4 to 12, I multiplied by 3, so therefore, y = 21.

this is triangle and it's properties

PLEASE HELP ME
Pls​

Answers

HYPOTENUSE RULE :

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } \\ = \sqrt{ {6}^{2} + {8}^{2} } \\ = 10[/tex]

So, third side is 10cm.

- BRAINLIEST answerer

Answer:

10

Step-by-step explanation:

[tex] {8}^{2} + {6}^{2} = {100}^{2 } [/tex]

[tex] \sqrt{100} = 10[/tex]

In a 5k race, the average time for a runner to finish was 25.2 minutes. The standard deviation is 3.5 minutes. ROUND ALL Z-SCORES TO 2 DECIMAL PLACES.
1. What is the z-score of a runner who finished in 20 minutes?
2.what is the z-score of a runner who finished in 30.5 minutes?
3. what is the z-score of a runner who finished in 26 minutes?
4.why are some z-scores negative and some positive? what does a positive z-score tell you? what does negative z-score tell you?


Please Help im so confused!!!

Answers

see link in comments

I really need help on this please

Answers

Answer:

When you simplify you get 5/6. Hence both x can be removed and when divided by the exponents you get x cannot be equal to zero. The Answer is the second.

Step-by-step explanation:

Find the volume of the sphere. **30 points**
Either enter an exact answer in terms of pi or with 3.14
Radius=8

Answers

Answer:

The volume of the sphere is 2,143.57

Step-by-step explanation:

The formula for finding the volume of the sphere is

V = [tex]\frac{4}{3}[/tex]π[tex]r^{3}[/tex]

"r" represents the radius of the sphere. So put the value of it in the formula.

V = ([tex]\frac{4}{3}[/tex])(3.14)([tex]8^{3}[/tex])

V =  ([tex]\frac{4}{3}[/tex])(3.14)(512)

Multiply all of them and you will get:

2143.57333333 or 2,143.57 which is the volume of the sphere

PLEASE ANSWER FAST TIMED TEST

Answers

Answer:

0.0000015

Step-by-step explanation:

Question 6: 17 pts
Identify the parent function for the function g(x) = x2 - 4 based on its function rule.
Then graph g and identify the transformation of the parent function that it
represents.
linear; translation up 4 units
quadratic; translation up 4 units
quadratic; translation down 4 units
O
linear; translation down 4 units

Answers

Answer:

Parent function is g(x) = x² a quadratic

Step-by-step explanation:

quadratic; translation down 4 units  

-4 means the vertex will move down 4

The transformation of the parent function that represents translation down 4 units. Therefore, quadratic; translation down 4 units.

The given function is g(x)=x²-4.

What is the parent function?

A parent function is the simplest function that still satisfies the definition of a certain type of function. For example, when we think of the linear functions which make up a family of functions, the parent function would be y = x. This is the simplest linear function.

Quadratic; translation down 4 units:

The parent function of the quadratic family is f(x) = x2. A transformation of the graph of the parent function is represented by the function g(x) = a(x − h)² + k, where a ≠ 0.

The transformation of the parent function that represents translation down 4 units. Therefore, quadratic; translation down 4 units.

To learn more about the parent function visit:

https://brainly.com/question/17939507.

#SPJ2

PLZ HELP ASAP WITH 2,4,6,8,9 plz

Answers

Answer:

2. 1

4. -5/2

6. 3

8. 5/3

You asked for help with number 9, but you haven't included the problem in the picture, so I couldn't solve it. I hope this helps!

Step-by-step explanation:

The formula for finding slope is y2 - y1/x2 - x1

2. 3-1/3-1 = 2/2 = 1

4. 4-9/2-0 = -5/2

6.  7-1/2-0 = 6/2 = 3

8. 7-2/4-1 = 5/3

Which of the following equations is an example of inverse variation between
the variables x and y?
A. y = 12x
B. y =х
12
C. y= x + 12
D. y = 12
х

Answers

Answer:

The correct answer is option D

Step-by-step explanation:option A : y = x/12 ⇒ x = 12y (wrong option)

option B : y = 12/x ⇒ y * x = 12 (wrong option) and c will be equal 12

option C : y = x + 12 ⇒ not similar to the general form (wrong option)

option D : y = 12/x (corect option)( I meant to switch it around)

The general form of inverse variation between the variables x and y is as following:

where c is constant

So, the correct option is D

SHEET CAKES
--------------------------------------------
$36 Small (Feeds 12 people)
$46 Medium (Feeds 22 people)
$56 Large (Feeds 32 people)
--------------------------------------------

The new pastry chef at Jackson's Bakery specializes in Sheet cakes for parties. She sold 17 small, 11 medium, and 20 large sheet cakes in one week. How much money did Jackson's Bakery make in one week from sheet cakes?

Answer: $2,245 (I know it for this one but not the next one)

How many people would all of the sheet cakes sold in problem 3 feed?

--------------------------------------------------------------------------------------------------------
(Dont need to tell me the answer just tell the steps I need to do)

Answers

Answer:

The chef sold 17 small sheet cakes. One small sheet cake can feed 12 people, so the small sheet cakes she sold can feed 17*12 people, which is 204 people. Do this for the medium and large sheet cakes as well, and add them up, and you'll get the answer.

Step-by-step explanation:

Hope this helps!

Answer:

1086

Step-by-step explanation:

1. 7x12= 204(small cakes)

2. 11x22=242(medium cakes)

3.20x32=640(large cakes)

4. add all of the products up

so: 204+242+640

= 1086

This should be correct.

Kara has five exam scores of 93, 67, 82, 71, and 94 in her biology class. What score does she need on the final exam to have a mean grade of 80?
Round your answer to two decimal places, if necessary. (All exams have a maximum of 100 points.)

Answers

Answer:

She needs at least 73%

Step-by-step explanation:

1. add all of the numbers up and d the quantity to find

93+67+82+71+94/5

=407/5

=81.

2. try diffrent numbers

407+73/6

=480/6

=80

She needs at least 73%

Answer:

A score of 73

Step-by-step explanation:

Five exam scores + the final exam = mean (average) of 80.

First find the total points that you need to make an 80 average 80 × 6 = 480 points.

The five exam scores + x score = 480 points.

93 + 67 + 82 + 71 + 94 + x = 480

407 + x = 480

x = 480 - 407

x = 73

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