In a triathlon, Kailee swam for 1 hour, biked for 1.75 hours, and ran for 1 hour. Her average biking speed was 2 times her average running speed, and her average running speed was 8 times her average swimming speed. The total distance of the triathlon was 55.5 kilometers. Write an equation and solve it to find Kailee’s average swimming speed in kilometers per hour.

The problem tells you to make a sketch, a table, and equation but I only want an equation please. No answer either.

Answers

Answer 1

Answer:

Swimming speed, S = 1.50 km/hr

Step-by-step explanation:

Let Kailee's running speed be R

Let Kailee's biking speed be B

Let Kailee's swimming speed be S

Given the following data;

Time for swimming = 1 hour.

Time for biking = 1.75 hour.

Time for running = 1 hour.

Total distance = 55.5km

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

Biking speed = 2*8S = 16S

Running speed = 8S

We know that the distance covered by an object or body is given by the formula;

[tex] Distance = speed * time[/tex]

Now we would find the distance covered in each activity (biking, running and swimming).

For biking;

[tex] Distance, D_{1} = 1.75*16S [/tex]

Distance, [tex] D_{1} [/tex] = 28S

For running;

[tex] Distance, D_{2} = 1*8S[/tex]

Distance, [tex] D_{2} [/tex] = 8S

For swimming;

[tex] Distance, D_{3} = 1*S[/tex]

Distance, [tex] D_{3} [/tex] = S

The equation for the total distance covered in the triathlon is given by;

Total distance = sum of all distances covered

[tex] Total distance = D_{1} + D_{2} + D_{3} [/tex]

Substituting into the equation, we have;

[tex] 55.5 = 28S + 8S + S[/tex]

[tex] 55.5 = 37S[/tex]

[tex] S = \frac {55.5}{37} [/tex]

S = 1.50 km/hr

Therefore, Kailee’s average swimming speed is 1.50 kilometers per hour.


Related Questions

Sergio works at an ice cream shop and is paid by the hour. m = 11h, where h represents the number of hours worked, and m represents the amount of money Sergio was paid. How much did Sergio make in one hour?

Answers

Answer:

he made 11 dollars

Step-by-step explanation:

the number that is touching the h is how much he is making in a hour.

Thomas has a bag with 6 purple and 5 blue marbles. If his friend Nick pulls 2 marbles from the bag, what is the probability of him getting 2 purple marbles. 30/121 30/121 21/22 21/22 3/11 3/11 11/21

Answers

Answer: 3/11

Step-by-step explanation:

Number of purple marbles = 6

Number of blue marbles = 5

Total number of marbles = 6 + 5 = 11

The probability of picking the dust purple marble will be 6/11. After a purple marvel has been picked, there'll be 5 purple marbles left and the total number of marbles will be 10, therefore the probability of picking the second purple marble will be 5/10.

Therefore we then multiply the probability of picking the first purple marble by the probability of picking the second purple marble. This will be:

= 6/11 × 5/10

= 6/11 × 1/2

= 3/11

' the length of one side of an equilateral is 3x+2. its perimeter is 60 centimeters. write an equation that could be used to find the value of x. solve for x and then find the length of the side. ''
I need to find the equation and the side length :')
also please answer this quickly hhhhhhhhhhhhh

Answers

Answer:

Step-by-step explanation:

Triangle equilateral has 3 sides

3(3x+2) = 60

9x+6 =60

9x= 54

x=9

3x9 +2 = 20  One side = 20

20x3=60   3 sides = 60

Answer:

60

Step-by-step explanation: this is simple because it is lou

What is the answer to this I need help ASAP lol thanks :)

Answers

Answer:

you can count by groups of 9 and there would be 4 groups

9 + 9 + 9 +9 = 36 and 36/9 = 4

HELP ASAP PLS AMD THANK YOU

Answers

The answer is B !!!!!!

A shark was swimming 33ft below the surface of the water. It swam up 18ft to feed
on some fish, then dove down 5ft. Where is the shark now?

Answers

The shark is now at 20 feet
Since the top of the water is zero we need to subtract when it swims up and add on the way down do:

33 -18 = 15
15 + 5 = 20

Answer: 20ft

Please answer!!! Will mark brainiest!!

Answers

Answer:

I think it is D. 9/15 * 14/20

9514 1404 393

Answer:

  C.  3/10 * 2/5

Step-by-step explanation:

3 of the 10 horizontal stripes are colored orange, representing a fraction of 3/10.

2 of the 5 vertical stripes are colored purple, representing a fraction of 2/5.

The area of overlap is 6 of the 50 small boxes, so represents the product ...

  3/10 * 2/5 = 6/50

Find the value of X
7/x-10 = 3/6

Answers

Answer:

2/3

Step-by-step explanation:

7/x -10 = 3/6

7/x =3/6 +10

7/x = 63/6

42 = 63x

x = 42/63 or 2/3

Answer:

2/3

Step-by-step explanation:

kate ran 4 miles how far did she run in kilometers

Answers

Answer:

6.4

Step-by-step explanation:

Answer:

6.5 kilometers

Step-by-step explanation:

why is math so hard these days?

Answers

Answer:

It's because someone added LETTERS to math.

Step-by-step explanation:

I know this because I'm suffering from this.

A brainliest for this doggo is a bone! This doggo would appreciate a bone!

M: Mental

A: Abuse

T: To

H: Humans

Answer:

Advancement in human mathematics

Step-by-step explanation:

Need explanation for how to find "E"(in the picture attached), and how to calculate "sin".​

Answers

Answer:

Step-by-step explanation:

E is just that Vertex/Angle.

[tex]sin[/tex] is a measure of an angle.

You should learn SOHCAHTOA

[tex]sin = opposite/hypotenuse\\cos(ine) = adjacent/hypotenuse\\tan(gent)=opposite/adjacent[/tex]

The opposite side is relative to the angle.

In this case, the opposite of E is 20

The hypotenuse is 29

so,

[tex]sin(E)= \frac{20}{29}[/tex]

35x-12= -34x+710 answer fast too

Answers

Answer:

x=722/69

Step-by-step explanation:

ASAP When 4(0.5x+2.5y-0.7x-1.3y+4) is simplified, what is the resulting expression?

A) -0.8x+4.8y+16

B) 0.8x-4.8y+16

C) -0.8x-4.8y+4

D) 0.8x+4.8y+4

Answers

Answer:

The answer is A.

Step-by-step explanation:

4(0.5x+2.5y-0.7x-1.3y+4)

2x+10y+-2.8x+-5.2y+16

2x-2.8x+10y-5.2y+16

= -0.8x+4.8y+16

The answer to your question is A

A biologist begins working with a sample containing 20,000 bacteria. The population size doubles every 10 days according to the equation p(t)=20,000(2)^t/10, where t represents the number of days. After seven days the biologist begins working with a second sample of 20,000 bacteria. The equation used to represent the population of sample 2 after t days is p(t)=20,000(2)^t-7/10. Which of the following is an equivalent form of the equation for the population of sample 2?

Answers

Answer

p(t) = 20,000^10 root of 2^t/10 root of 2^7. i think

Step-by-step explanation:

factor 36a^2x - b^2​

Answers

Answer:

36a2 - b2

Step-by-step explanation:

( 6a + b)( 6a - b)

36a2 - b2

6^2 a2 - b^2

x2 y2 = (xy)2

(6a)2 - b^2

(6a + b)(6a - b)

Hope that helps :)

solve the inequality for 1x + 2 > 10

Answers

Answer:

x>8

Step-by-step explanation:

Hope that helps you!!

In which figure is point G a centroid?

a
b
c
d

Answers

Answer:

Step-by-step explanation:

You didn't provide us with correct choice

The centroid of a triangle is the point of intersection of its medians.

The lines that pass through the centroid of a triangle divides the side lengths of the triangle into equal halves.

The figure whose centroid is point G is triangle LMN.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Now, From the attached image, we have the following highlights

There is no evidence that the lines that pass through point G divides the three sides of triangle ABC into equal halves

The lines that pass through point G divides the three sides of triangle LMN into equal halves

The above highlights mean that:

Point G is the centroid of triangle LMN.

Hence, the figure whose centroid is point G is triangle LMN.

Read more about centroids at:

brainly.com/question/1189196

#SPJ5

find the solutions of the quadratic equation 3x^2-4x+4=0

Answers

Answer:

2.3

Step-by-step explanation: if your finding the decimal 2.3 will be your answer if not then sorry

The perpendicular bisectors of AABC intersect at point
G. Find the length of BG.
B

Answers

Answer:

[tex]\overline{GB}[/tex] = 9

Step-by-step explanation:

The given parameters are;

The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G

Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;

[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property

∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that  [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Therefore;

ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency

[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex]   by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)

[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency

∴ [tex]\overline{GB}[/tex] = 9.

Write the definition of "Absolute Value” in your own words.

Answers

A number's absolute value means the distance from 0. -6 is 6 units away from 0 units. The absolute value of -6, then, is 6. There's no negative distance you can have, so it has to be positive.

Answer:

a real number without regard to its sign.

simplify!!
6x - 2+7x

Answers

Answer:

13x-2

Step-by-step explanation:

Answer:

13x - 2

Step-by-step explanation:

6x - 2 + 7x

13x - 2

2 1/3 ×4 1/5
WHO EVER IS CORRECT I WILL GIVE BRAINIEST

Answers

Answer:

So, solving the equation [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex] we get [tex]9\frac{4}{5}[/tex]

Step-by-step explanation:

We need to solve the given equation: [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex]

First converting mixed fractions into improper fractions

[tex]\frac{7}{3} \times \frac{21}{5}[/tex]

Since 21 is divisible by 3 so, simplifying and multiplying

[tex]=7 \times \frac{7}{5} \\=\frac{49}{5} \\=9\frac{4}{5}[/tex]

So, solving the equation [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex] we get [tex]9\frac{4}{5}[/tex]

WHO LIKES LARRAY
Cause I do

Answers

I do let’s start off with Bryce hall yeah he got some smelly-
Balls I only know his name cuz Addison gave him fame

3,4,4,6,8,9 work out the median​

Answers

Answer: suckkkkkkkdbejehejjssjsj

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

just trust me


3 +5.2.c = 1 - 2.87

Answers

Answer:

-0.0936538462

Step-by-step explanation:

Start by solving the right side of the equation

1 - 2.87 = -1.87

now we have:

3 + 5.2c = -1.87

subtract 3 from both sides to get:

5.2c = -4.87

divide both sides by 5.2 to get:

-0.0936538462

hope that's what you're looking for! :)

I WILL GIVE BARINLEST WHO HELP ME OK

Answers

Answer:

100

Step-by-step explanation:

multiplication, 20*5.

Answer:

i would go with 100

Step-by-step explanation:

20 times 5

which of the following is the value of the expression 2x exponent2+1,when x =2

Answers

Answer:

9

Step-by-step explanation:

use pemdas to evaluate..

2x^2 + 1

2(2)^2 + 1

2(4) + 1

8 + 1 = 9

17,18,19,20,21,22,23,24. 1.From the list of numbers write down a number that is a factor of 20. 2. From the list of numbers in the list, which is a multiple of both 3 and 7

Answers

Problem 1

Answer:  20

--------------------------

Explanation:

The factors of 20 are 1,2,4,5,10,20

They are numbers that pair up to multiply to 20. For instance, 5*4 = 20. We only focus on whole numbers.

In the list given to us, we see that only 20 is a factor of 20. Something like 17 is not a factor of 20, and so on for the other values.

==========================================

Problem 2

Answer:  21

--------------------------

Explanation:

List out the multiples of 3 to get {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...}

The stuff in bold are values found in the original list.

Now list out the multiples of 7 to get {7, 14, 21, 28, 35, 42, ...}

We can see that only 21 is found in both lists of multiples we wrote out.

Note how 3*7 = 21, which is not a coincidence.

Explain answer
GIVING BRAINIEST

Answers

Answer:

The slope of the line is 2. To find the slope I marked two points on the line, which were (-3, 0) and (-2, 2). Then I used the [tex]\frac{Rise}{Run}[/tex] technique. Moving up 2 units and to the right 1 unit, which would be represented by [tex]\frac{2}{1}[/tex].

The slope of the line graphed below would be 2.

Using the formula Rise/Run, you can solve the slope using the graph. The Rise would be equal to 2 units, with the Run being one. This means that for every 1 unit on the x-axis, there are 2 units displaced on the y-axis. Therefore, the slope would be 2/1.

can someone help me answer question 7 and 8. ill give a braniest to whoever can get them both correct. tysm if you help me :)

Answers

Step-by-step explanation:

7question.

it's the first answer y=x-10/3

8th question

it's also first answer y=x-9/2

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