1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
TEA [102]
3 years ago
5

What is the Unit Rate for each cyclist?

Mathematics
1 answer:
allsm [11]3 years ago
6 0

Answer:

Cyclist A  12 mi/h

Cyclist B  5 mi/h

Cyclist C  9 mi/h

Cyclist D  10 mi/h

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the relation between the distance and the time represent a direct variation

Let

y -----> the distance in miles

x ----> the time in hours

The unit rate is the same that the slope or constant of proportionality of the linear equation

<em>Cyclist A</em>

we have

The cyclist can ride 24 miles in 2 hours

The unit rate is equal to divide the total distance by the total time

so

\frac{24}{2}=12\ \frac{mi}{h}

<em>Cyclist B</em>

Looking at the table

For x=1 h, y=5 mi

k=y/x

substitute

k=\frac{5}{1}=5\ \frac{mi}{h}

<em>Cyclist C</em>

we have

y=9x

Remember that the unit rate is equal to the slope

so

m=9\ \frac{mi}{h}

<em>Cyclist D</em>

Looking at the graph

For x=1 h, y=10 mi

k=y/x

substitute

k=\frac{10}{1}=10\ \frac{mi}{h}

You might be interested in
In my fish tank, the ratio of red fish to blue fish is 1:5. There are 15 blue fish. How many red fish are there?
ElenaW [278]

Answer:

there are 3 red fish

Step-by-step explanation:

1:5

_:15

5 times 3 =15

so 1 times 3 =3

4 0
4 years ago
Read 2 more answers
3) When mixing a paint color, you need to use 2 gallons of white and 3 gallons of blue. How many gallons of
elixir [45]

Answer:

I think the answer is 25

Step-by-step explanation:

So, if you add 2 and 3, you get 5.

Multiply 5 by 10 to get 50

Divide 50 by 2 to get 25

So, you'll need 25 gallons of paint.

Hope this helped!

(Please mark as Brainliest <3)

6 0
3 years ago
What is the answer to -2 2/5+3 1/4-3/5
galina1969 [7]

Answer:

1/4 or 0.25

Step-by-step explanation:

8 0
3 years ago
Sam is using a microscope to look at the plant specimen. The microscope magnifies the specimen 4 × 10 squared times. If the spec
Natalija [7]
The answer is 120 because 4•10=40 and 40•3=120
3 0
3 years ago
Read 2 more answers
The percent frequency for S&amp;P 100 companies in the Consumer Staples sector is
torisob [31]

The percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%

<h3>How to determine the percentage frequency?</h3>

From the pie chart of the dataset (see attachment for the pie chart), we have:

Consumer Staples = 8.2%

This means that the percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%

Read more about pie charts at:

brainly.com/question/24461724

#SPJ1

8 0
2 years ago
Other questions:
  • The reciprocal of 1/8
    10·2 answers
  • 1. Multiply: (3x - 6)(2x + 7)
    15·2 answers
  • Given that sec(θ)=5/3 and θ is in Quadrant I, what is tan(θ)? Write your answer in exact form. Do not round.
    7·1 answer
  • Last year there were 205 ducks living on the pond. This year there are 20% more ducks living on the pond. How many ducks are liv
    9·2 answers
  • How many solutions does this equation have?<br><br> 16 − 12h = 4(–3h + 4)
    8·1 answer
  • For the problem I see posted here already that reads - " A woman has two bank accounts. One contains $329 and awards 4% in inter
    14·1 answer
  • If the area of a square field is 36sq.m .then the perimeter of the field is_​
    12·2 answers
  • I NEED YOUR HELP FAST Which number is represented by point E on the graph?
    13·1 answer
  • The scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each of 24 students last week.
    5·1 answer
  • Can the sides of a triangle have lengths 3.5, 10.9, and 14.4?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!