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
antiseptic1488 [7]
3 years ago
13

Marta,Loribeth,and Ira all have bicycles.The table shows the number of miles of each rider's last bike ride, as well as the time

it took each rider to complete the ride.
Distance of last ride (in miles) Time spent on last bike ride (in minutes)

Marta 8 80

Loribeth 6 42

Ira 15 75


If all three riders travel for 3.5 hours at the same speed as their last ride,how many total miles will the three riders travel altogether ? Explain.
Mathematics
2 answers:
QveST [7]3 years ago
6 0

We have been given a table of data that represents the distances traveled by three bicycle riders and time spent on their rides.

To find sum of distances traveled by three riders at the same rate, we will have to find unit rate at which each rider is cycling.

\text{Rate at which Marta is cycling}=\frac{8\text{ miles}}{80\text{ minutes}}

\text{Rate at which Marta is cycling}=0.1\frac{\text{ miles}}{\text{ minute}}

Let us find Loribeth's unit rate of cycling.

\text{Rate at which Loribeth is cycling}=\frac{6\text{ miles}}{42\text{ minutes}}

\text{Rate at which Loribeth is cycling}=0.1428571428571429\frac{\text{ miles}}{\text{ minute}}

Let us find Ira's unit rate of cycling.

\text{Rate at which Ira is cycling}=\frac{15\text{ miles}}{75\text{ minutes}}

\text{Rate at which Ira is cycling}=0.2\frac{\text{ miles}}{\text{ minute}}

Let us convert 3.5 hours in minutes.

3.5 hours = 3 hours+50 minutes=(3*60+50) minutes =230 minutes.

Now let us add rates of our three cycles and then multiply the sum by 230 minutes to find distance traveled by three riders altogether.

\text{Distance traveled by three riders altogether}=230\cdot(0.1+0.2+0.1428571428571429)

\text{Distance traveled by three riders altogether}=230\cdot(0.4428571428571429)

\text{Distance traveled by three riders altogether}=101.857

Therefore, three riders will travel 101.857 miles while travelling altogether.



zlopas [31]3 years ago
5 0

Answer:

The three riders travel 93 miles altogether.

Step-by-step explanation:

From the given table we will find the speed of each riders individually.

Speed = \frac{distance}{time}

Speed of Marta = \frac{8}{80} = \frac{1}{10} = 0.1 miles / min.

Speed of Loribeth = \frac{6}{42} = \frac{1}{7} = 0.143 miles/min.

Speed of Ira =  \frac{15}{75} = \frac{1}{5} = 0.2 miles / min.

Now we will calculate the distance covered by each riders with their individual speed in 3.5 hours

Since 3.5 hours = 3 × 60 + 30 = 180 + 30 = 210 minutes

Therefore, distance covered by Marta = speed × time.

                                                               = 0.1 × 210 = 21 miles

Distance covered by Loribeth = 0.143 × 210 = 30 miles

Distance covered by Ira = 0.2 × 210 = 42 miles

Therefore, total distance covered by all = 21 + 30 + 42 = 93 miles.

The three riders travel 93 miles altogether.

You might be interested in
Given: m∠AKB = 25°
dexar [7]

Answer:

V = 255.98189 pi

SA = 172.64114π

Step-by-step explanation:

The first thing to do is find the radius.

the measure of angle AKO = 1/2 the measure of angle AKB

m< AKO = 12.5 degrees

Now use trig to find AO (aka the radius)

tan(12.5) = AO/25

AO = 25* tan(12.5)

<em>I'm leaving it like this to get a more accurate number</em>

Now to find the volume

the volume of a cone is pir^2h/3

plugging everything in we get:

pi(25*tan(12.5))^2 * 25/3

which is about <u>255.98189 pi</u>

Now for surface area

(this is the moment I realize symbols exist)

SA = πr(r+√h²+r²)

plugging everything in we have

π(25tan(12.5))((25tan(12.5)+√625+(25tan(12.5))^2)

<em>I know it looks like a lot but that's mainly because I left the radius as 25tan(12.5)</em>

The Surface Area is about <u>172.64114π</u>

8 0
3 years ago
Explain how you determine an equation for a line using a table of input/output values.
Lubov Fominskaja [6]
Example :

            x               y
            1               3
            2               6
            3               9
            4               12

first thing u do is pick any 2 points (x,y) from ur table

(1,3) and (2,6)
now we sub those into the slope formula (y2 - y1) / (x2 - x1) to find the slope
(y2 - y1) / (x2 - x1)
(1,3)....x1 = 1 and y1 = 3
(2,6)...x2 = 2 and y2 = 6
sub
slope = (6 - 3) / (2 - 1) = 3/1 = 3

now we use slope intercept formula y = mx + b
y = mx + b
slope(m) = 3
use any point off ur table...(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 3(1) + b
3 = 3 + b
3 - 3 = b
0 = b

so ur equation is : y = 3x + 0....which can be written as y = 3x...and if u sub any of ur points into this equation, they should make the equation true....if they dont, then it is not correct

and if u need it in standard form..
y = 3x
-3x + y = 0
3x - y = 0 ...this is standard form
6 0
3 years ago
When you divide a fraction less than 1 by a whole number greater than 1 how dose the quotient compare to the dividend
mihalych1998 [28]
A is the correct answer
4 0
3 years ago
Read 2 more answers
Jackson was making a poster for his room. He arranged 50 trading cards in the shape of a rectangle on the poster. How many rows
julsineya [31]
Pretty sure it's B because 50 isn't divisible by any of the other choices
4 0
4 years ago
Read 2 more answers
Find the x-intercept and y-intercept<br> from the following linear equation:<br> 8x - 9y = 144
const2013 [10]
X intercept (18,0)
Y intercept(0,16)
8 0
2 years ago
Other questions:
  • Karl deposits $900 in a CD. He will earn 5% compound interest each year for five years. How much interest will Karl earn in 5 yr
    7·1 answer
  • Is the sum of 11.2 and 19 irrational?
    6·2 answers
  • 18 is 3 times as many as?
    5·1 answer
  • An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean outpu
    14·1 answer
  • Find the equation of a line parallel to 2x-3y=9 that passes through the point (1, -3)
    15·1 answer
  • Link for paper and show work
    13·1 answer
  • Please answer correctly and positive :)
    9·1 answer
  • The animal shelter has both male and female Labrador Retrievers in yellow, brown, or black. There is an equal number of each kin
    12·1 answer
  • 21. 5c+d=c+40<br> (a) Find the ratio c:d
    6·1 answer
  • Solve this equation: 8(3x - 6) = 6(4x + 8) *
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!