Contestants in the Run-and-Bike-a-thon

run for a specified length of time, then bike for a specified length of time. Jason ran at an average speed of 5.2 mi/h

and biked at an average speed of 20.8 mi/h,

going a total of 14.4 miles. Seth ran at an average speed of 10.4 mi/h and biked at an average speed of 18.2 mi/h,

going a total of 18 miles. For how long do contestants run and for how long do they bike? Round to the nearest hundredth if necessary.


Contestants run__hour and bike___hour.

Answers

Answer 1

Answer:

They ran for 0.923 hrs and biked for 0.46 hrs

Step-by-step explanation:

First thing to do is write down the inequality of the question

5.2x + 20.8y = 14.4

10.4x + 18.2y = 18

Multiplying the whole equation by 10, so as to eliminate the decimal places, we have.

52x + 208y = 144

104x + 182y = 180

Multiplying the first equation by 2, we have

104x + 416y = 288, next we solve it simultaneously with the second equation

104x + 416y = 288

104x + 182y = 180

Subtract 2 from 1, and we have..

416y - 182y = 288 - 180

234y = 108

y = 0.46

Now, we go back and substitute for y in the earlier equation, so that

52x + 208(0.46) = 144

52x + 95.68 = 144

52x = 144 - 95.68

52x = 48.32

x = 48.32/52

x = 0.929


Related Questions

What is the area, in square meters, of the figure below?

image 38818c4f95f746c7ac661469284baba9

Answers

Answer:

ujjjhhhggokkkkbfdxfghhhhbb

Find the length of the radius of the circle.
A)
2 inches
B
B)
3 inches
)
6 inches
D)
8.5 inches

Answers

Answer:

C)  6 inches

Step-by-step explanation:

(√72)² = x² + x²

72 = 2x²

72/2 = x²

36 = x²

√36 = √x²

6 = x

x = 6 inches

Answer:

By Pythagoras theorem, we get

[tex] {x}^{2} + {x}^{2} = {( \sqrt{72}) }^{2} \\ 2 {x}^{2} = 72 \\ {x}^{2} = 36 \\ \boxed{x = 6}[/tex]

C) 6 inches is the right answer.

this is urgent please help me. i’ve asked this question a couple times and no one is helping :/

Answers

Answer:

1.2

Step-by-step explanation:

You can see from the point on the graph that when x = -6, y = 1.2

The answer is 1.2

When X is equal to -6, Y is equal to 1.2.

Find the value of X so that the function has the given value t(x)=3x; t (x)= 24

Answers

Answer:

here is your answer....

Step-by-step explanation:

lets take x as 8

t(8)=3*8

t(8)=24

Therefore:

we get t(x)=24 from equation t(x)=3x

I need help fast if you help I will mark you as Brainlist

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Garden 1.                        Garden 2

.    

.    

.    

3*7=21.                           3*7=21

21*2=42

QL
Find the x- and y-intercepts of the equation.
-x + 2y = 4

O (4,0). (0,2)
O None of these
O (-4.0), (0.-2)
O (4.0), (0, -2)
O (-4.0), (0.2)
pls help

Answers

Answer:

Option 2: none of these

Step-by-step explanation:

-x +2y= 4

x-intercept occurs at y=0.

When y=0,

-x +2(0)= 4

-x= 4

x= -4

Thus, x-intercept is (-4,0).

y-intercept occurs at x=0.

When x=0,

0 +2y= 4

2y= 4

y= 4 ÷2

y= 2

Thus, y-intercept is (0,2).

*When writing coordinates, the x and y coordinates are separated by a comma in the bracket. If the 3rd option is a comma instead of a dot (which could instead denote a multiplication sign), it would be the correct option.

Lawrence is half as old as Jonathan. The sum of their ages is 54. How old is Jonathan?

Answers

Answer:

Jonathan is 36 years old.

Step-by-step explanation:

Jonathan=2 Lawrence

J= 2L

54 divided by 3 equals 18.

18 times 2 equals 36.

Hope this helped! :)

Jeff read a total of 54 pages in his history and sociology text book he read 41 pages in his history text book how many pages he read in his sociology text book

Answers

Answer: 13 pages

Step-by-step explanation:

54 - 41 = 13

Work out the size of angle
X.
50°
120°

Answers

70. 180-120=60, and 180-60+50=70

What is the equation of the line in slope-intercept form? ​

Answers

Answer:

y=1/2x-2

Step-by-step explanation:

RIse / run

find a point then go up one and right two to the next point which gives you 1/2

the y intercept is -2 because thats where the line is interceting

What is the equation for the line in slope-intercept form?



Enter your answer in the box.

Answers

Answer:

y=-4x=5

Step-by-step explanation:

i did it on a test

What is the difference of the polynomials?
EDGE MATH 2

Answers

Answer:

C

Step-by-step explanation:

It Adds up to X to the 10th power to x to the 2nd power. Subtract that and you get x to the 8th power. x to the 6th power and x to the 2nd power adds up to 8. therefore its C.

Henry is purchasing a number of magnets. He wants some idea of how many he can buy. On a coordinate plane, the points (3, 1), (6, 2), and (12, 4) are plotted. Using equivalent ratios, which statements are true about the cost per magnet? Check all that apply. The cost of 2 magnets is $1. The cost of 9 magnets is $3. The cost of 10 magnets is $3. The cost of 4 magnets is $2. The cost of 6 magnets is $2. The cost of 3 magnets is $1. Mark this and return

Answers

Step 1:  Find the slope

Every 3 magnets that you buy, you need to pay 1 more dollar.  Therefore, if you have 9 magnets, the cost will be 3 dollars.  Also, if you have 6 magnets, the cost will be 2 dollars.  Finally, if you have 3 magnets, the cost will be 1 dollar.  So... the correct options are Options B, E, F

Answer options: B,E,F

Answer:

b e f

Step-by-step explanation:

I almost cry please help. Q:Two signs are on a street. One blinks every 10 s and the other every 6 s. How many times per minute do they blink together? (The answer is twice and why please show how you find out the answer is twice)

Answers

Answer:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 80,

So twice

Step-by-step explanation:

What else do you need but that ^

Answer:

Step-by-step explanation:

if one blinks every 10 seconds it means that it blinks 6 times in one minute

60/10=6

the other one blinks every 6 seconds

60/6=10 blinks ten times

first one blinks:     10,20,30,40,50,60

second one blinks:6,12,18,24,30,36,42,48,54,60

is like finding GCM

common number are 30 and 60

hence- twice

Solve the following system of equations using the elimination method. 5x + y = 9 –10x + 7y = 18 Question 6 options: A) (2,–6) B) (–7,3) C) (3,–4) D) (1,4)

Answers

Answer:

Step-by-step explanation:

5x + y = 9

-10x + 7y = 18

10x + 2y = 18

-10x + 7y = 18

9y = 36

y = 4

5x + 4 = 9

5x = 5

x = 1

(1,4)

answer is D

Please I need help ASAP!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

we are given 54x + 4.99x + 7.95

we can simplify like terms

58.99x + 7.95

It is D because in C it says "the actual delivery charge is $58.98" which is not true. It states in the question that it is "$7.95 for delivery", so it has to be D

what does k equal in the proportion k/4=33/20

Answers

Answer:

[tex]x = \frac{33}{5} [/tex]

or

[tex]x = 6 \frac{3}{5} [/tex]

or

[tex]x = 6.6[/tex]

Step by Step:

Step 1: Rewrite the equation (I used x instead of k.)

[tex] \frac{x}{4} = \frac{33}{20} [/tex]

Step 2: Make x a loner by moving the 4 to the right side.

[tex]4 \times \frac{x}{4} = \frac{33}{20} \times 4 [/tex]

Step 3: Cancel multiplied terms on the left, multiply numbers on the right.

[tex]x = \frac{165}{100} [/tex]

Step 4: Simplify.

[tex] x = \frac{33}{5} [/tex]

I need help i my math homework

Answers

Answer:

Domain: (-7, 4]

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

According to the graph, the line's x-values span from -7 to 4. Since -7 is an open dot, it is exclusive in the domain. Since 4 is a closed dot, it is inclusive in the domain:

(-7, 4] or -7 < x ≤ 4

section 4 algebra nation

Answers

Answer:

it is 45

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

A customer paid 3.5% sales tax on her purchase. How much sales tax did
the customer pay on a $14.00 purchase.

Answers

Answer:

49 cents, or 0.43

Step-by-step explanation:

3.5% x $14.00 = .43

Hope this helps!!

How would the line on the graph below change if the slope and the y-
intercept were multiplied by 3?

Answers

Answer:

A.) The line would shift up and have a y-intercept at 12 and the slope would be -9

Step-by-step explanation:

The y-intercept is where the graph intersects the y-axis. This graph intersects at 4, so if it was multiplied by 3, the new y-intercept would be 12.

Sadie is saving her money to buy a new pony, which costs $600. She has already saved $75. She earns $50 per week working at the stables and wonders how many weeks it will take to earn enough for a pony of her own. Show the relationship between the number of weeks (W) and Sadie’s savings (S) using an expression.

Answers

Answer:

It will take her 10.5 weeks.

Expression: 50w + 75

Simple math question. (Algebra)

Answers

Answer:

ill help you when u give me a question

Step-by-step explanation:

but tysm for the points

Soo what’s the question

A group of friends ate a meal in a restaurant, and the cost of their bill is m. Which expression represents the total amount that they'll pay if they tip 20%?
Question 4 options:

A)

1.2 + m

B)

0.2m

C)

1.2m

D)

0.2 + m

Answers

b) 0.2m

because dollars are taxed.

The expression that represents the total amount that they'll pay if they tip 20% will be 0.2 + m, because dollars are taxed. so option D is correct.

What does it mean to solve an equation?

An equation represents equality of two or more mathematical expression.

When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

It is given that a group of friends ate a meal in a restaurant, and the cost of their bill is m.

We need to find the expression that represents the total amount that they'll pay if they tip 20%.

So we know that,

20% = 0.20

The cost of their bill = m.

The total amount they'll pay including tip = 0.2 + m

Therefore, the expression that represents the total amount that they'll pay if they tip 20% will be 0.2 + m, because dollars are taxed. so option D is correct.

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

If 1 inch is 500 miles, then 4 inches is how many miles?

Answers

Answer:

2,000 miles

Step-by-step explanation:

We are given:

[tex]1 inch=500 miles[/tex]

This can be rewritten as:

[tex]\frac{500 miles}{1inch}[/tex]

This is representative of a unit rate, as we have a [tex]1[/tex] in the denominator. To calculate the number of miles in [tex]4[/tex] inches, simply multiply the unit rate by [tex]4[/tex]:

[tex]\frac{500 miles}{1inch}*4=[/tex]

[tex]\frac{2000 miles}{4 inches}[/tex]

This can rewritten as:

[tex]4inches=2000miles[/tex]

Therefore, there are 2,000 miles in 4 inches.

-

We can check our solution by simplifying the fraction [tex]\frac{2000 miles}{4 inches}[/tex] by dividing both [tex]2000[/tex] and [tex]4[/tex] by [tex]4[/tex] to see if we achieve the unit rate:

[tex]\frac{500 miles}{1 inch}[/tex]

Since this is in fact the unit rate, our solution is correct!

the quotient of 18 and a number a

Answers

Answer:

18÷n or 18a

Step-by-step explanation:

In one study on the effect of argan oil on wrinkles, 125 subjects who acknowledged being long-time argan oil users had their wrinkles compared with those of 125 people who had never used argan oil. In a second study, 75 subjects were chosen randomly to use argan oil and 75 were chosen to use a placebo. Identify the types of studies performed. (4 points)

Answers

Answer:   The first study was an observational study whereas the second was a controlled experiment.

Step-by-step explanation:

A study that record the characteristics of a population by studying individuals in a sample, but does not manipulate variables of interest is known as an operational study. Like in the first study only effects have been noted.

A controlled experiment is an experiment where the variable of interest is directly manipulated by a scientist, in order to test a single variable at a time.

Like in the second study, the subjects were under the control of the experimenter, to test the effect of oil.

The first study was an observational study whereas the second was a controlled experiment.

Answer:

Person above is right, i took this test.

Step-by-step explanation:

any help please
i need a answer please

Answers

Answer:

Store B offers the better buy. The difference in Unit cost is 5 cents or $0.05

Step-by-step explanation:

First find the costs per tuna. In Store A: 8 cans cost $7.20. To find the cost of 1 can you have to do $7.20/8 which is 90 cents or $0.90In store B; 6 cans cost $5.10. To find the cost of 1 can do $5.10/6 which is 85 cents or $0.85.

Therefore store B is cheaper, and to find the difference cost: Do the larger cost minus the smaller: 90 cents-85 cents= 5 cents or $0.05 as the difference cost

5. What do you notice about the numbers in the last two columns of the table?
Answer?

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photo????? i need more context:)

someone please help meee​

Answers

ok with what

what do you need help wirh

what u need help with
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