Steph and heather run a 5k run race . Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course. How much farther does heather run than steph

Answers

Answer 1

Answer:

2.07 miles

Step-by-step explanation:

If Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course, the difference in the distance run by Heather and Steph is 3/3 - 3/9 = 1 - 1/3 = 2/3

Since a 5k run race is 3.1 miles, Heather goes 2/3 × 3.1 miles = 6.2/3 miles = 2.07 miles more than Steph.


Related Questions

Simplify
4x - 3(2 + x) +6y

Answers

Answer:

x + 6y - 6

Step-by-step explanation:

Answer:

x+6y-6

Step-by-step explanation:

x 0 1 2 3 y 8 1 −6 −13 Is the relationship a linear function? How do you know? A. No; the change in x and the change in y is not constant. B. Yes; the change in x is constant and the change in y is not constant. C. Yes; the change in x is constant and the change in y is constant. D. No; the change in x is not constant and the change in y is constant.

Answers

Answer:

The correct option is C) Yes; the change in x is constant and the change in y is constant.

Step-by-step explanation:

Consider the table shown.

x     y

0    8

1     1

2   -6

3   -13

Now observe the changes in x and y coordinates, if changes are constant then the given function is linear.

Consider the change in x coordinate.

1-0=1,  2-1=1 and 3-2=1

Now consider the change in y coordinate.

1-8=-7,  -6-1=-7  and -13-(-6)=-13+6=-7

Since the change in x and y is constant the given relationship is linear.

Therefore, the correct option is (C) Yes; the change in x is constant and the change in y is constant.

Factor -5 out of -5d + 30

Answers

Answer:

ans below

Step-by-step explanation:

-5(d+6)

Answer:

-5(d-6)

Step-by-step explanation:

When factorising, you need to factorise from all the terms.

Factorising -5 from:

-5d: -5d ÷ -5 = d

30: 30 ÷ -5 = -6

Thus, the answer is -5(d-6)

Jason had 246 dollars to spend on 6 books.after buying them he had 12 dollars. How much did each book cost?

Answers

Answer:

1 book = 41 dollars.

Step-by-step explanation:

If you divide your whole by your part, then you will get how much 1 book is.

how i did it:

246 divided by 6 = 41.

1 book = 41 dollars

A map has a scale of 1 cm to 14 km.
On the map, the distance between Manchester and London is 18.8 cm.

What is the real distance, in km, between Manchester and London?

Answers

Answer:

Real distance between Manchester and London = 263.2 km

Step-by-step explanation:

Given that:

A map has a scale of 1 cm = 14 km

Ratio = 1 : 14

Distance from Manchester to London = 18.8 cm

Let,

x be the real distance between Manchester and London.

Ratio = 18.8 : x

As the relationship is proportional,

1 : 14 :: 18.8 : x

Product of mean = Product of extreme

14*18.8 = x

x = 263.2 kilometers

Hence,

Real distance between Manchester and London = 263.2 km

can someone give me motivation?
you dont have to mean it itd just be really nice to hear someone say "you can do it!" \
by the way theres no actual question here i just really want encouragement

Answers

Answer:

YOU ARE AWESOME! YOU ARE CARED ABOUT AND LOVED! YOU CAN DO THIS!

Step-by-step explanation:

Answer:

you can do it!

Step-by-step explanation:

I actually mean it

Tbh you c u t e ;)
No capppppppppppppppppppppppppppppppp​

Answers

Answer:u 2

Step-by-step explanation:

Rewrite 5 X 2/3 using a whole number and a unit fraction

Answers

Answer: 3 1/3

Step-by-step explanation:

Im assuming the big ol "X" is a multiply sign.

The answer is three and one third.

Kristen's school is due west of her house and due south of her friend Cooper's house. The
distance between the school and Cooper's house is 9 miles and the straight-line distance
between Kristen's house and Cooper's house is 10 miles. How far is Kristen's house from
school? If necessary, round to the nearest tenth.
miles

Answers

Answer:

Kristen's house is 4.4 miles away from her school

Step-by-step explanation:

Pythagora's Theorem

In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:

[tex]c^2=a^2+b^2[/tex]

Where

c = Hypotenuse or largest side

a,b = Legs or shorter sides

The situation described in the problem forms a right triangle shown in the image below.

Applying Pythagora's Theorem :

[tex]10^2=9^2+x^2[/tex]

Solving for x:

[tex]x^2=10^2-9^2[/tex]

[tex]x^2=100-81=19[/tex]

[tex]x=\sqrt{19}=4.4[/tex]

Kristen's house is 4.4 miles away from her school


Solve 3x+3/5>=4/5

Answer:

Answers

Answer:

=0

Step-by-step explanation:

Solution:

3x+3/5 = 0

3•x+3/5 = 0

15x = -3

x = -1/

5

= -0.2


(HELP) My Subaru Crosstrek can travel 107 miles on 3 gallons of gas. How many miles can my
car travel on a full tank of gas? A full tank of gas is 14 gallons.

Answers

9514 1404 393

Answer:

  499 1/3 miles

Step-by-step explanation:

Let m represent the number of miles the car can travel on 14 gallons. We assume distance is proportional to gas usage, so ...

  m/14 = 107/3

Multiplying by 14, we have ...

  m = 14(107/3) = 1498/3 = 499 1/3

The car can travel 499 1/3 miles on a full tank of gas.

To complete a planter box, mr. Michaels will purchase cedar boards that are 2 inches wide and 8 inches long. He will need to cut down the length of the boards into pieces that are 1 1/3 inches long. How many pieces can mr. Michael cit from each 8 inch board so he can determine how many he will need to purchase?

Answers

Answer:

6 pieces

Step-by-step explanation:

Since Mr. Michaels need to cut down the 8 inch long boards into pieces that are 1¹/₃ inches long, the number of pieces he can cut out from the 8 inch long board that are 1¹/₃ inches long is 8 ÷ 1¹/₃ = 8 ÷ 4/3

= 8 × 3/4

= 2 × 3

= 6

So, Mr. Michaels can cut 6 pieces that are 1¹/₃ inches long from the 2 inches wide and 8 inches long board.

What is the slope of the following linear function: 3x + 4y = 20?
A) 3
B) 4
C) 20
D) None of these

Answers

I think it would be B.

What is the range of f?

Answers

Answer: {-4, -3, 1, 5}

Step-by-step explanation:

The range of a function is the set of x-values.

solve for y
equation : y=mx+b

Answers

Answer:

? i need numbers

Step-by-step explanation:

When filling in numbers to this equation. Y would be equal to the y-intercept. The y-intercept is the part of the line that crosses over the y line on a coordinate plane. Hope this helps and please mark brainliest!

Jeremy is plotting a line with a slope of 3. He starts by plotting the point (-4,-3). He then plots a second point on the line 6 units to the right, and k units up. His value of k must be a. 9 b. 18 c. 2 d. 24

Answers

Answer:

27

Step-by-step explanation:

Slope = 3

(-4, - 3) (6, k)

(y2 - y1) /(x2 - x1) = 3

(k + 3) / (6 + 4) = 3

(k +3) / 10 = 3

k + 3 = 30

k = 30 - 3

k = 27

please help:( enakskkwksm​

Answers

the perimeter means you add up all the sides
so you do

(12b-8) + (12b-8) + (9b+8)
now you just add the like terms

12b+12b+9b = 33b
-8+-8+8= -8
so the perimeter is 33b-8

Please help me answer this question. Can you the doc

Answers

Answer:

I opened the doc but what's the question..? I only see attendance..

Step-by-step explanation:

A serving of chickpeas contains 2,150 milligrams of potassium. How many grams of
potassium is that?
A serving of chickpeas contains
grams of potassium.

Answers

Answer: 109 mg

Step-by-step explanation:

Is 5 a solution to the compound inequality “-3 < x < 6”

Answers

Answer:

no I dont thinks sorry if I'm wrong

The number of fish in a lake decreased by 25% between last year and this year.
Last year there were 60 fish in the lake. What is the population this year?

Answers

the population would be 45 fish

Answer: This population, the population is 45 fish.

Step-by-step explanation: This problem can be solved by a rule of three.

Last year there were 60 fish in the lake. That was 100, that is, decimal 1.

This year it decreased 25%. So there 100%-25% = 75%, that is decimal 0.75. So

60 fish - 1

x fish - 0.75

This population, the population is 45 fish.

PLS HELP ME WITH IS QUESTION

On each plant in a garden
there are 8 leaves and half
a dozen flowers. There is a
total of 98 flowers and
leaves.

How many plants are
there in the garden?​

Answers

Answer:

There are 7 plants in the garden.

Step-by-step explanation:

8 + 6 (Half dozen) = 14

98 divided by 14 = 7

I hope I helped.

Can some one make question for me so I can get 4 more brainliest

Answers

Answer:

yeahhh no. go answer questions.

sure what should i call it?

can i have brainliest on this one?

kind of like were giving each other one?

At McGriff’s Restaurant, 4 hamburgers cost $14.60. At this rate, What is the cost of each hamburger in dollars and cents?

Answers

Answer:

$3.65

Step-by-step explanation:

$14.60/4 = $3.65

So, each hamburger costs $3.65.

Answer:

the answer is 3.65. Hope that helps

PLEASE PLEASE HELP ME I WILL MARK BRAINLIEST

Answers

Answer:

a) x = 2   b) y = 5

Step-by-step explanation:

For a)

NOTE: Since line EC bisects angle FEG, it will be divided into 2 equal parts

angle FEG = 58

angle FEC = 11x + 7

angle CEG = 11x + 7

So:

58 = (11x + 7) + (11x + 7)

58 - 7 - 7 = 11x + 11x

44 = 22x

x = 2

For b)

angle AED = 16y + 10

angle AED = 90°

90 = 16y + 10

90-10 = 16y

y = 80/16

y = 5

Dbhehejehbejrjeenbebeje

what is the equation for the following function *remember that the slope is 7/2​

Answers

f(x) = 7/2x - 2

Step-by-step explanation:

f(x) = mx + b

m being slope

b being y intercept

what are the coordinates of this point?

giving brainliest answer to first person to answer

Answers

Answer:

Q) (-2, 2)

V) (2, 2)

Step-by-step explanation:

This is 9th grade math please help I’ll post a pic

Answers

no it’s not a solution

A video store is offering 20% off all outdated videos. Let s be the original price of the purchase. Use the expression s-0.2s for the new price of the purchase. Write an equivalent expression by combining like terms.

Answers

Answer: The equivalent expression is:

new price = s*0.8

Step-by-step explanation:

When the original price of something is A, and we have X% off, the new price if that object will be:

New price = A - (X%/100%)*A

Like in this case, the original price is s, and the discount is 20%

Then the new price can be written as:

new price = s - (20%/100%)*s = s - 0.2*s = s*(1 - 0.2) = s*0.8

This is the equivalent expression we wanted to get.

 

Answer:

new price = s*0.8

Step-by-step explanation:

Domingo is replacing the baseboards in his home and calculates that he will need 637.5 feet of wood. When he travels to the hardware store, he discovers that baseboards are sold in 7.5-foot lengths. How many boards will Domingo need to purchase?

Answers

Answer:

Number of boards= 85

Step-by-step explanation:

Giving the following information:

Total wood required= 637.5 feet of wood

The baseboards are sold in 7.5-foot lengths.

To calculate the number of boards, we need to use the following formula:

Number of boards= total wood required / foot per board

Number of boards= 637.5 / 7.5

Number of boards= 85

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