A student on the cross- county team runs 30 minutes a day as a part of her training. Write an equation to describe the relationship between the distance she runs in miles, D, andher running speed,in miles per hour,when she runs at a constant speed of 5.4miles per hour for m minutes,and then at be miles per hour for n minutes

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

A student on the cross- county team runs 30 minutes a day as a part of her training. Write an equation to describe the relationship between the distance she runs in miles, D, and her running speed, in miles per hour, when she runs at a constant speed of 5.4miles per hour for m minutes, and then at b miles per hour for n minutes

Solution:

Given that the student runs for a total of 30 minutes per day. He runs at 5.4 miles per hour for m minutes, and then at b miles per hour for n minutes.

Hence:

m + n = 30

60 minute = 1 hour. Therefore, m minute = m/60 hour, n minute = n/60 hour.

The distance traveled is the product the speed in miles per hour and the time taken to cover the distance. Distance = speed * time

The total distance ran (D) is:

D = 5.4(m/60) + b(n/60)


Related Questions

HELPPPPPPP!!!!!!!!!!

Answers

Answer:

The Second choice y+5=-3/4(x-2

Step-by-step explanation:

4y=3x+8 solve for y so it's y=-3/4x+2

and use the slope which is -3/4

2 = x then 5 = y

you used to pass through formula and plug it in soooo it's

y+5=-3/4(x-2)

sorry if this doesn't make any sense, I'm terrible at explaining

How do you find the slope of a line in a graph?


Help me please

Answers

what graph? no info is selected in this....!


explaination: hm, think?

[tex]slope = \tan(angle \: made \: by \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: line \: with \: x \: axis) [/tex]

[tex]or \: [/tex]

[tex] = \frac{y1 - y2}{x1 - x1} [/tex]

Statement: If 3x = 6, then x = 2. What is the contrapositive of the statement? Emeans not equal​

Answers

Answer:

x=2

Step-by-step explanation:

you are correct for x=2 because 6 divided by 3 is 2

Simplify: 3a - 4 + 5a + 7 + 2(a + 1)

Answers

Answer:

10a + 5

Step-by-step explanation:

3a - 4 + 5a + 7 + 2(a + 1)

3a - 4 + 5a + 7 + 2a + 2

10a +5

Group the variables and non variables.

The correct answer is 10a+5

what are the possible coordinates of point a?

Answers

Answer:

(0,5)

Step-by-step explanation:

Hope this helped, Have a Great Day!!

Please answer ASAP!

How many different arrangements of the letters of the word SCIENCE
have N as their first letter and S as their last?

Answers

Ignore this post, I have no Idea what it is, report this so it gets taken down so someone else can answer...

Mr , Rodríguez tried to find the slope of the line, FIND HIS ERROR AND CORRECT IT .

Answers

Answer:

23

Step-by-step explanation:

Super Salad Dressing is made with 8mL of oil for every 3mL of vinegar.
Which of the following mixtures will taste the same as Super Salad Dressing?
Group of answer choices

3 mL of oil for every 8 mL of vinegar

16 mL of oil for every 9 mL of vinegar

40mL of oil for every 25mL of vinegar

56 mL of oil for every 21 mL of vinegar

Answers

Answer:

56mL of oil for every 21mL of vineger

Step-by-step explanation:

56 is a multiple of 8, and 21 is a multiple of 3. 7 times 3 is 21, and 8 times 7 is 56. Hope this helped!

Sino may Alam dito pasagot Naman po please​

Answers

Answer:

Sorry i dont understand japanese... sorry;-;

Step-by-step explanation:

A right triangle has a leg lengths of 9 units and 12 units. Write an equation that can be used to determine the length of the hypotenuse, c.

Answers

Answer:

a^2+b^2=c^2

c=15 units

Step-by-step explanation:

You can use the pythagorean theorem to solve this equation. a^2+b^2=c^2.

If you substitute the leg lengths in, the new equation will be 9^2+12^2=c^2, c being the hypotenuse.

Next, you can simplify it to get 81+144=c^2. Simplifying it further, you get 225=c^2, which means that the length of the hypotenuse is 15. Hope this helped! :)

Answer:

15

Step-by-step explanation:

9^2+12^2=c^2

81+144=c^2

225=c^2

15=c

or you can see that this is a 3,4,5 triangle (just 3 times bigger)

hope this helps :)

Erica sells magazine subscriptions and makes a flat rate of $5.35 for each subscription she sells. If Erica made $42.80 on Monday, $64.20 on Tuesday and $74.90 on Wednesday, how many subscriptions did she sell in the three days

Answers

to find the number of subscribtion sold we divide the money she made by the price of subscription

monday:

42.80/5.35=8 subscriptions sold

tuesday:

64.20/5.35=12 subscriptions sold

wednesday:

74.90/5.35=14 subscriptions sold

8+12+14=34 subscriptions sold in 3 days

Answer:

34 subscriptions she sold

Find the value of a3 + 3b2 when a = 2 and b = -2

Answers

Given:

a = 2 and b = -2.

To find:

The value of [tex]a^3+3b^2[/tex].

Solution:

We need to find the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2.

Substituting a = 2 and b=-2 in [tex]a^3+3b^2[/tex], we get

[tex](2)^3+3(-2)^2[/tex]

[tex]=8+3(4)[/tex]

[tex]=8+12[/tex]

[tex]=20[/tex]

Therefore, the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2 is 20.

Please help me with this!!!!

Answers

The screen is blank.

What is the slope between these two points? (-5, 2) and (2,8). You must show your work for this problem. *

Answers

Answer:

6/7

Step-by-step explanation:

Given the points :

(-5, 2) and (2, 8)

Slope can be obtained by using the relation :

(y2 - y1) / (x2 - x1)

From the points given :

x1 = - 5 ; y1 = 2 ; x2 = 2 ; y2 = 8

(8 - 2) / (2 - (-5))

(8 - 2) / (2 + 5)

6 / 7

Hence, slope between the two points = 6/7

At a wedding reception an equal number of guests were seated at each of three large tables, and 7 late arriving desks were seated at a smaller table. There were 37 guests in all. If n represents the number of guests seated at each of the large tables, what equation represents the situation?

Answers

Answer:

3n+7=37 is the equation to solve how many were at each of the large tables

Please help me with circle theorems

Answers

Answer:

x = 38°, y = 68°, z = 55°

Step-by-step explanation:

This would be easier to explain if the vertices were labelled , however

Angles at the circumference of the circle subtended on the same arc are congruent.

x and 38 are subtended on the same arc

y and 68 are subtended on the same arc

z and 55 are subtended on the same arc

Thus

x = 38°, y = 68° and z = 55°

HELP ASAP PLS!!!

p(x)=x^3 : m(x)= 4p(x-3)-5
Describe the transformation(s) performed on p(x) that produced m(x).
Then, write a specific equation for m(x).

Answers

4p(x-4)-5
That is my answer I hope I’m right have a merry Christmas

Which statement about the ratios 15/18 and 18/27 is true?

A.The ratios are proportional because they simplify to the same ratio.
B.The ratios are proportional because they both contain the number 8.
C.The ratios are not proportional because they do not have the same denominator.
D.The ratios are not proportional because they do not simplify to the same ratio.

Answers

Answer:

C

Step-by-step explanation:

brainliest pls

Answer:

D

Step-by-step explanation:

the answer is D beacuse if expressed as ratios the would not be simplified or reduced to the same lowest form

Alexander was hopelessly lost. This new campus was 10 times bigger than his last school had been. He had no idea how to get back to his classroom. All the doors to all of the classrooms looked the same. Here he was staring down this endless corridor, hoping that someone would come along, so he could inquire where he needed to go.

Use the context clues to find the definition for the word inquire as it is used in this paragraph.

to shout
to ask
to help
to wonder

Answers

Answer:

to ask

Step-by-step explanation:

PLEASE HURRY I HAVE A LITTLE BIT OF TIME TO TURN IT IN

when is Ann's distance from home staying the same? give a reason to support your answer

Answers

Answer:

4.25-5 minutes

Step-by-step explanation:

Its shown in the graph and table that the speed was 0 between those times.

t: 3(t + 3) + 5(3 + 2t) – 76 = 0

Answers

Answer:

[tex]\huge\boxed{\sf t = 4}[/tex]

Step-by-step explanation:

[tex]\sf 3(t+3)+5(3+2t)-76 = 0\\\\Expanding \ Parenthesis\\\\3t + 9 + 15 + 10t -76 = 0\\\\13t + 24 -76 = 0\\\\13t - 52 = 0\\\\Add \ 52 \ to \ both \ sides\\\\13t = 52\\\\Dividing\ both\ sides\ by\ 13\\\\t = 52/13\\\\t = 4\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807
Expand the brackets
—That’ll be 3t + 9 + 15 + 10t - 76 = 0
Then we rearrange
3t + 10t = 13t
15+9-76 = - 52

Therefore , it’ll be 13t - 52 = 0
Take “-52” to the other side then it’ll turn to “ +52”

13t = 52

Divide both sides by 13

13t/13 = 52/13

T = 4

Simple

If the temperature outside increases by 3 1/2 degrees every 1 1/2 hours, by how much will the temperature increase after 4 hours?

please answer in fractions.

Part 1:

What is the rate per hour of the temperature increase?

Part 2:

How much will the temperature increase after 4 hours?

Answers

Answer:

Part 1:    7/3 degrees/hour

Part 2:    28/3 degrees

Step-by-step explanation:

Part 1:

3 1/2 degrees per 1 1/2 hours =

= (3 1/2)/(1 1/2)

= (7/2) / (3/2)

= 7/2 * 2/3

= 7/3 degrees/hour

The rate is 7/3 degree per hour

Part 2:

In 4 hours, the temperature goes up 4 times what it goes up in 1 hour.

4 hours * 7/3 degree/hour = 28/3 degrees

I think of a number. I multiply it by 7. I add 12. The result is 40. What is the number I am thinking of?​

Answers

The number that you are thinking of is 4. To get this answer I did the opposite of how you received your answer.
40 - 12 = 28
28 ÷ 4 = 7
The number that you are thinking of is 4.

Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description?

Answers

Answer:

A

Step-by-step explanation:

miles over hours

40 over 1

120 over 3

what's the answer to the question?
I have a heart that never beats, I have a home but never sleep, I can take a man's house and build on others, and I like to play games with my mini brothers. I am a king among fools. who am i?

Answers

The king of hearts in cards

Heyyyyy ah ha ha ‍ help I’m begging please someone god bless

Answers

Answer:

Step-by-step explanation:

Domain of a function is a set of x-values (input values) for which the function is defined.

Range of a function is a set of y-values (output values) for the given set of input values.

7). Domain → (-∞, ∞)

    Range → (-∞, ∞)

8). Domain → (-∞, ∞)

    Range → [-2, ∞)

9). Domain → [-2, 2]

    Range → [-3, 3]

10). Domain → (-∞, ∞)

    Range → [-1, 1]

Erica is hiking down a mountain. She descends at a rate of 36 feet per hour. She began the descent at 10 a.M. And finished at 6 p.M. What was her change in elevation after two hours?

Answers

Answer:

72 feet

Step-by-step explanation:

Given that:

The speed of Erica while descending down the mountain = 36 feet per hour

Time at which the descent was started = 10 AM

Time at which the descent was finished = 6 PM

To find:

The change in elevation after two hours ?

Solution:

First of all, let us learn about the relation between speed, distance and time.

The formula between speed, distance and time is given as:

[tex]Speed = \dfrac{Distance }{Time}[/tex]

Here, we are given that:

Speed = 36 feet per hour

Time = 2 hours

We have to find the Distance now.

Putting the given values:

[tex]36 = \dfrac{Distance}{2}\\\Rightarrow Distance = 36 \times 2\\\Rightarrow Distance = \bold{72\ feet}[/tex]

Change in elevation = 72 feet

Please help!!! Thank you!!!

Answers

Answer:

See below

Step-by-step explanation:

Statement                                      | Reason                                            

1. m∠A + m∠B + m∠C = 180°         | 1.  Angles in a triangle sum to 180°

2. 28° + x - 4° + 2x = 180°              | 2. Substitution

3. x=(180° - 24°)/3= 156°/3°= 52°   | 3. Algebra

5X + 2 = 12 two step eqation can someone help

Answers

The answer for X is X=2

5x+2=12
5x=10
X=2

A television is on sale for 20% off its original price,p. Write a multiplication expression to
describe the sale price of the television.
A. 0.20p
C. 0.20p + P
D. p-0.20p
B. 0.20p-p

Answers

sale price of the television is c

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