Juanita is riding her bicycle on a trail at the rate of 0.3 kilometers per
minute. Michelle is 11.2 kilometers behind Juanita when she starts traveling
on the same trail at a rate of 0.44 kilometers per minute. Let d represent
the distance in kilometers the bicyclists are from the start of the trail and t
represent the time in minutes. The situation can be represented by the
following system; d=0.3t+11.2 and d=0.44t. How many minutes will it take
Michelle to catch up to Juanita? How far will they be from the start of the
trail? Use the substitution method to determine your answer.

Answers

Answer 1

Answer:

It will take Michelle 80 minutes.

They're 35.20 kilometers away from their starting point.

Step-by-step explanation:

We have to find how many minutes it would take Michelle to catch up to Juanita.

We know that Michelle's movement is represented as: d = 0.44t

Juanita's movement is represented as: d = 0.3t + 11.2

To find how many minutes it would take for Michelle to catch up, we will have to solve both equations together and solve for "t", or time.

Solve:

0.44t = 0.3t + 11.2

Subtract 0.3t from both sides.

0.14t = 11.2

Divide both sides by 0.14

t = 11.2/0.14

t = 80

This means that it would take 80 minutes for Michelle to catch up.

To find how far they are, multiply 0.44 by 80.

0.44 · 80 = 35.20

This means that they're 35.20 kilometers away from their starting point.


Related Questions

PLS HELP I'LL MARK BRAINLEST

Answers

Answer: C

Step-by-step explanation:

hope this helped

Answer:

D and E.

Step-by-step explanation:

Each angle is a different length and no sides can be the same length. If two angles are the same the triangle is considered an isosceles triangle. If all sides are the same it is an equilateral triangle.

X+36 is less than 40 write equation

Answers

Answer:

x<4

Step-by-step explanation:

x+36 is less than 40

x+36<40

Subtract 36 from both sides

x<4

This equation means, that in order for the equation to be true, x must be less than 4.

Answer:

x<4

Step-by-step explanation:

x+36=40

you do 36- 40 and  get 4 then it would be x<4

The amount of rainfall during one week is shown in the graph below. The rainfall is measured in centimeters and the time is measured in days. Each interval from 0 to 1 on the x-axis represents the 24-hour period for day 1, the interval from 1 to 2 represents the 24-hour period for day 2, etc. Choose the correct statement from the choices below.

Answers

Answer: C: It did not rain on 3 days; it did rain on 4 days

The solution to the equation of graph is it did not rain on 3 days ; it did rain on 3 days

What is Equation of Graph of Polynomials?

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the equation of graph be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The graph is rising on 0 to 1 , 2 to 4 and 5 to 6

The graph is a straight line from 1 to 2 , 4 to 5 and 6 to 7

So , the graph is rising represents the rain was there for 3 days

And , when the graph is a straight line , the rainfall was absent

Hence , the graph represents it did not rain on 3 days ; it did rain on 3 days

To learn more about equation of graph of polynomials click :

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Can you help me please its urgent!

Answers

Answer:

Step-by-step explanation:

Option " C" is correct this question is from fixed& variable

Answer:

C

Step-by-step explanation:

The monthly fee is going to be $5 and she's playing for a month, so let's put that down-

5+

Now, we need to figure out how much she plays - since we don't know this, we put it as a letter, and since we're calculating the cost, we add this to the equation-

5+0.25*x

Therefor, the answer is C(x)=5+0.25x

If the plays for 4 hours, the equation would be 5+(0.25*4)

solve for x
1(x-2) = -5.5

Answers

Answer:

x = -3.5

Step-by-step explanation:

Divide both sides by 1 to get rid of the 1

x - 2 = -5.5

Add 2 on both sides

x = -3.5

Answer:

x = -3.5

Step-by-step explanation:

1(x - 2) = -5.5

x - 2 = -5.5:  Distributive property

x = -3.5: Subtraction property

What kind of triangle is this?

Answers

Answer:

Obtuse

Step-by-step explanation:

Has one obtuse angle, i hope this helps you

Answer :
Obtuse
Explanation:

Expand and simplify
(3y - 2)(y + 3)

Answers

Step-by-step explanation:

3y^2 + 7y - 6

Answer:

(3y-2)(y+3)

Step-by-step explanation:

[tex]3y(y + 3) - 2(y + 3) \\ 3y {}^{2} + 9y - 2y - 6 \\ 3y {}^{2} + 7y - 6[/tex]

OR

Need help!!
(2x + 1/2) + (8x - 6 1/2)=

Answers

Answer:

10x - 6

Step-by-step explanation:

Answer:

I am not sure if you want it to be a simplified answer but the simplified answer is 10 x - 6

A pound of chocolate costs 7 dollars. Deshaun buys p pounds. Write an equation to represent the total cost c that Deshaun
pays.
Please help

Answers

Answer:

7p=c

Step-by-step explanation:

7p=c because you would be multiplying 7 and P

What is the line of best fit for these points?
(0, 6)(2, 10) (-2, 2)(-1,4)

Answers

Answer:

b

Step-by-step explanation:

This is the graph to your question. The points include: (0, 6) (2, 10) (-2, 2) (-1,4)

Which shows only a vertical translation? A triangle is translated to the right. A triangle is translated upwards. A triangle is translated diagonally.

Answers

Answer:

b

Step-by-step explanation:

A triangle being translated upwards shows only a vertical translation. Option A is correct.

What is the transformation of geometry over the coordinate plane?

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.

When a shape is translated vertically, it moves up or down along the y-axis, maintaining its shape and size. In the case of a triangle being translated upwards, the y-coordinates of its vertices are increased, resulting in a vertical shift of the entire triangle.

When a shape is translated horizontally, it moves left or right along the x-axis, maintaining its shape and size.

When a shape is translated diagonally, it moves in both the horizontal and vertical direction, changing its position but maintaining its shape and size.

Learn more about transformation here:

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AHAHAHAHAHAAHAHAHAHAHAHAHAHAHAHAHAHAHA HELP ME IM GOING CRAZY XDDDDDD

Answers

Answer:

The answer is -8.

Step-by-step explanation:

This is because 6 added to -8 results in -2.

So, think of 6 positive things, and 8 negative things.

o o o o o o

p p p p p p p p

The 6 positive things will cancel out 6 of the negative things, leaving behind 2 negative things.

p p

#teamtrees #WAP (Water And Plant)

Answer:

-8

Step-by-step explanation:

you just subract 6 from -2 and reverse the equation and boom. You have your answer, -8

does this look right?

Answers

Answer:

What?

Step-by-step explanation:

what looks right?

Answer:

what ???¿???????

?????

ok what next helppp i need 2

Answers

Answer:

3-2

Step-by-step explanation

What is the value of the expression shown?
6+43 - 8+2
A 14
B 5
C 31
D 66

Answers

Answer:

6+43 - 8+2=49-6=43. is your answer

Use the table to find the relationship between the two
quantities
The relationship is "hours multiplied by
equals the number of dogs,"
Hours (h)
Dogs (d)
1
3
2
6
3
9
12

Answers

3 equals number of dogs:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The relationship is “hours multiplied by 3 equals the number of dogs.”

at the end of the basket ball game, the players were given the choice of having a bottle of water or a box of juice. of all the players, 12 chose a water bottle which was 3/4 of the total amount of players. Write and solve the equation to determine p, the total amount of players in the basket ball game.

Answers

Answer: 16 players in total

Step-by-step explanation:

12 divided by 3/4 is 16

12 / 3/4 = p

16 / p

Can you help? I really need help​

Answers

Answer:

5. find x= 32

6. find < C = 23

find c =

find a =

Sorry wish I could help more I need to learn more about this chapter in math.

i dont know what to do... im kinda not smart

Answers

7.

10% = 6

25% = 15

50% = 30

20% = 12

_____________________

8.

a = 35

b = 105

c = 140

____________________________

9.

15 is 30% of 50.

_____________________________

10.

The punch recipe contains 25% lemonade:

24/6 = x/100

x=1/4 x 100 = 25%

_____________________________

11.

520

multiply 650 by 80 amd then divide by 100

or simply multiply 650 by 0.8

to get 520 students.

_______________________________________

12.

Number of items checked = 300

Defective items = 3%

Number of defective items =

Number of defective items =

Number of defective items = 9

Number of items worked = Total items - Number of defective items

Number of items worked = 300 - 9 = 291

291 items of checked items worked.

Which of the following questions describes the equation g + (-4) = -5?

What number, when subtracted from negative four, is equal to negative five?
What number, when added to negative five, is equal to negative four?
What number, when subtracted from negative five, is equal to negative four?
What number, when added to negative four, is equal to negative five?

Answers

I think the answer is g=-1

Answer:

im pretty sure its the last one

Step-by-step explanation:

Find the missing side length

Answers

B.4 because if you divide 30 by 6 you get 5 so if you do 20/5 you get 4

^415^7 The expression above can also be written in the form 을 For this expression, b= and c=

a=
7
4
15

b=
15
4
7

c=
15
4
7
l​

Answers

Answer:

15 ^ 7/4

a = 15

b = 7

c = 4

Step-by-step explanation:

uh, the answers you provided were confusing

Answer:

Step-by-step explanation:

Hope this Helps ;)

2 square root of negative 18

Answers

Answer:

8.48528137 simplified is 8.49

Step-by-step explanation:

Answer:

no answer

Step-by-step explanation:

when you do a square root you can't have a negative number

What number is 2/5 more than 0.75?

Answers

Answer:1.15

Step-by-step explanation:

2/5 =.40

.75+.40=1.15

Answer:

1.05

Step-by-step explanation:

2/5 is equal to .4%.

We can then also interpret the equation as "What number is 1.4% more than .75?".

We need to only multiply 1.4 x .75, to which we will get 1.05.

Simplify the expression:
2(1 + 2v) =

Answers

The wander is
:)
2+4v

What is the volume of the tent?

Answers

The answer is 192


Explanation

please I really need ur help !!!​

Answers

It’s B hope this helps

Which of these numbers is a prime number: 1, 11, 21, 51?

Answers

Answer:

11 and 51

Step-by-step explanation:

1 technically isn't a prime since a prime can only be divided by two things (itself and 1) and 1 can only be divided by 1.

21 can be divided by 1, 3, 7, and 21 so it is not prime.

Hope this helps!

please help me on this will give you brainliest

Answers

Answer:

I believe the answer is 6.6600 pls let me know if im wrong

Step-by-step explanation:

Answer:

Six and Sixty-six ten thousandths in deciamal form- 6.0066

:)

Why do we use fractions to represent slope?

Answers

Answer:

The formula for slope is sometimes referred to as "rise over run", because the fraction onsists of the "rise" (being the change in y, going up or down) divided by the "run" (being the change in x, going from left to the right).

Step-by-step explanation:

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