Frank and Jasmine use the same trail for their Saturday walk. Frank walks at an average pace of 2 miles per hour. Jasmine starts when Frank is at the 3 mile marker and walks at an average pace of 4 miles per hour. Write an algebraic equation that could be used to determine how many hours Jasmine will walk before she catches up to Frank.

Answers

Answer 1

Answer:

Jasmine will walk 1hr:30min before she catches up to Frank

Step-by-step explanation:

let the distance of the trail be x

and let the time be t

given that franks average speed is 2 miles per hour

the distance covered by Frank is x-3

the time taken by Frank to cover the distance is

we know that speed=distance/time

2=x-3/t

2t=x-3  

x=2t+3---------1

Jasmine speed= 4 miles per hour

speed=distance/time

4=x/t

x=4t--------2

equating 1 and 2 above we have

2t+3=4t

solving for t we have

4t-2t=3

2t=3

t=3/2

t=1.5

That is 1hr 30 min

 


Related Questions

three friends go shopping together, and each buy the same kind of oranges. LaMar buys 2 pounds (lb) and pays $5.00. Enrico buys 3 pounds and pays $7.50. Anna buys 1.5 pounds and pays $3.75.
identify the graph and unit price that represents the orange cost.

Answers

Answer:

B.

Step-by-step explanation:

I chose B because goes through zero. Sorry if it wrong.

Answer: c

Step-by-step explanation:

just say your welcome

POSSIBLE POINTS: 3
You go to the football game, and admission is $5 and it costs $1 per snack.
The slope is
The y-intercept is
If you have $12, you can go to the game and buy snacks
1
2
3
Next
c)

Answers

Answer:

4 snack

Step-by-step explanation:

12 - 5 = 4

Akiko wants to fence in her [tex]12[/tex] ft by [tex]10[/tex] ft vegetable garden. There will be a path [tex]x[/tex] ft wide between the garden and the fence. The area to be enclosed by the fence will be [tex]360[/tex] sq ft. Write a quadratic function that can be used to determine the value of [tex]x[/tex].

Answers

Answer:

see below

Step-by-step explanation:

The length is 12 + 2x  and the width is 10 + 2x

A = l*w

360 = ( 12+2x) ( 10+2x)

FOIL

360 = 120 + 24x+20x + 4x^2

Combine like terms

360 = 4x^2 +44x+120

Subtract 360 from each side

0 = 4x^2 +44x +120-360

0 = 4x^2+ 44x -240

For fun, lets solve

0 = 4( x^2 + 11x - 60)

0 = 4( x+15) ( x-4)

  Using the zero product property

x= -15  x=4

Since we cannot have negative length

x=4 ft

Answer:

[tex]x^2+11x-60=0[/tex]

Step-by-step explanation:

Refer to the drawing.

We know that the area enclosed by the fence is 360 square feet. Remember that the area for a rectangle is given by the following formula:

[tex]A=bh[/tex]

So, let's substitute 360 for A, (12+2x) for b, and (10+2x) for h. This yields:

[tex]360=(12+2x)(10+2x)[/tex]

We can simplify this. On the right, factor out a 2 from the first term and a 2 from the second. This yields:

[tex]360=2(6+x)\cdot2(5+x)[/tex]

Multiply:

[tex]360=4(x+6)(x+5)[/tex]

Divide both sides by 4:

[tex]90=(x+6)(x+5)[/tex]

Multiply on the right:

[tex]90=x^2+6x+5x+30[/tex]

Add on the right:

[tex]90=x^2+11x+30[/tex]

Subtract 90 from both sides. So, our equation is:

[tex]x^2+11x-60=0[/tex]

And we're done!

Use digits to write the value of the 9 in this number.

139,648

Answers

Answer:

9,000

Step-by-step explanation:

the 9 is in the thousands place

( just turn every digit after it into a 0)

The value of 9 in the number, 139648, is 9000.

What is the place value?

The value of each digit in a number is known as the place value. Depending on where it is in a number, it describes each digit's value.

The given number is 139648.

Note that the position of 9 is at thousands place, therefore, the value of 9 in this number is 9000.

Hence, the value of 9 in the number, 139648, is 9000.

Learn more about the place value:

https://brainly.com/question/27734142

#SPJ2

There are 3 consecutive integers. If the smallest one is n, find the sum of 3 integers.

Answers

Answer:

           3n + 3

Step-by-step explanation:

The consecutive integers are increasing by 1

n ← the smallest integer

n+1 ← the middle integer

n+1+1 = n+2   ← the largest integer

The sum:

S = n + n+1 + n+2

S = 3n + 3

I will give away all my points if you can answer this with no sweat.​

Answers

Answer:

4

Step-by-step explanation:

it would equal 2^7/2^5, which equals 2², which equals 4

1. Find the LCM of 35,14 using prime factorization.

2. Find the LCM of 15,12 using prime factorization.

3. Find the LCM of 5,9,15 using prime factorization.

4. Find the LCM of 8,10,12 Using Prime factorization.


If you answer I promise I will make you the brainiest, like and I will vote 5

Answers

Answer:

Step-by-step explanation:

1) 35 = 5 * 7

  14 = 2 * 7

LCM = 2 * 5 * 7 = 70

2)  15 = 3 * 5

    12 = 2 * 2 * 3

LCM = 2* 2 * 3 * 5 = 60

3) 5 = 5

    9 = 3 * 3

  15 = 3 * 5

LCM = 3*3 * 5 = 45

4)8 = 2 * 2 * 2 = 2³

  10 = 2 *5

   12 = 2 * 2 *3 = 2² * 3

LCM = 2³ * 3 * 5 = 120

(NEED HELP WILL MARK BRAINLIEST)
_____is the effort to improve something by correcting faults.
A. "Sacrament"
B. "Reform"
C. "Contradict"
D. "Indulgent"

Explain your answer

Answers

Answer:

D

Step-by-step explanation:

Answer: Reform

Step-by-step explanation:

Reform means make changes in order to improve it.


A 7-day cruise is 15% off the regular price of $1,800. How much is the discount?

Answers

Answer:

The discount is $270

The new price would be $1,530

Step-by-step explanation:

You just multiply 1800 times 0.15 to get how much the discount would be and then if you are trying to find the new price you would subtract the discount or multiply 1800 times 0.85 because 100-15 is 85.

I am a square number. The sum of my digits is 9. What square numbers might I be?

Answers

The number you are looking for would be 81!

8 + 1 = 9

And the square root of 81 is 9 so 81 is the number you are looking for

Jonathan and Pedro are collecting clothes for a clothing drive. Pedro collected 1/2 as many
clothes as Jonathan did. If Jonathan collected 4 bags of clothes, how many bags of clothes
did Pedro collect?
Writo your answer as a fraction or as a whole or mixed number.

Answers

Answer:

2

Step-by-step explanation:

4/2=2

A line contains exactly one point.

Answers

Answer:

False

Step-by-step explanation:

A line contains at least two points. If two lines intersect, then their intersection is exactly one point. Through any three non-collinear points, there exists exactly one plane.

Answer:

A line contains at least two points. If two lines intersect, then their intersection is exactly one point. Through any three non-collinear points, there exists exactly one plane.

Step-by-step explanation:

Select all the equations that are equivalent to the equation 3x – 4 = 5

A. 3x=9

B . 3x-4+4=5+4

C .x-4=2

D . x=9

E. -4=5-3x

Answers

A B E

They all equal x = 3 once solved.
C = 6 and D = 9 so those are not correct.

Answer:

A. 3x=9

I can only think of A

This equation shows how the total amount of paper Addison's office has recycled depends on the number of weeks since they started the new recycling plan.
p = w + 16
The variable w represents the number of weeks the office has been on the new recycling plan, and the variable p represents the total kilograms of paper recycled. How many weeks will it take Addison's office to recycle a total of 19 kilograms of paper?

(?) weeks

Answers

Answer:nbdbndndndnd

Bsbsnsndndnsh

Step-by-step explanation:

Dnndbdndnndndndnnd

5662 rounded to the nearest 100

Answers

Answer:

5700

Step-by-step explanation:

Answer:

5700

Step-by-step explanation:

1) -6 < 3х – 4x
Can some one help me

Answers

combine like terms

-6<-1x

divide by negative 1 on both sides

flip the sign when dividing by a negative number

6>x is the answer.

Answer:

[tex]\boxed { x < 6}[/tex]

Step-by-step explanation:

Solve the following inequality:

[tex]-6 < 3x - 4x[/tex]

-Combine like terms:

[tex]-6 < 3x - 4x[/tex]

[tex]-6 < -x[/tex]

-Switch sides:

[tex]-6 < -x[/tex]

[tex]-x > -6[/tex]

-When you are dividing an integer by a negative integer, then the inequality sign would change. So, to get the variable [tex]x[/tex] positive, divide both sides by [tex]-1[/tex]:

[tex]\frac{-x}{-1} > \frac{-6}{-x}[/tex]

[tex]\boxed { x < 6}[/tex]

What is the value of x in the proportion below?

57=x21

Answers

Answer:

x=2.7

Step-by-step explanation:

21x=57

21x/21=57/21

x=2.7

Answer:15

Step-by-step explanation:

) What is the distance between this pair of points?
(-5, 2) and (-5, 6)

Answers

Answer:

[tex]d=4[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(-5-(-5))^2+(6-2)^2}[/tex]

[tex]d=\sqrt{(-5+5)^2+(4)^2}[/tex]

[tex]d=\sqrt{(0)^2+16}[/tex]

[tex]d=\sqrt{0+16}[/tex]

[tex]d=\sqrt{16}[/tex]

[tex]d=4[/tex]

For the points A(-3, 2), B(-3, 7), and C(2, 7), find the equation of the line
through B perpendicular to line AC.

Answers

Answer:

The equation of the line perpendicular to AC and passing through point B is y = -x + 4

Step-by-step explanation:

We start by finding the slope and equation of line AC

The equation of a straight line can be given as;

y = mx + c

where m is the slope and c is the y-intercept

Mathematically, the slope is given as;

m = (y2-y1)/(x2-x1)

m = (7-2)/(2-(-3)) = 5/5 = 1

So the equation becomes ;

y = x + c

We only need the slope since we are trying to get another line perpendicular to this

If two lines are perpendicular, then the product of the slopes of both lines is equal to -1

This means that m1 * m2 = -1

So this means that the slope of the perpendicular line is -1/1 = -1

Thus, the equation of the line we are finding would be;

y = -x + c

since it passes through line B, we can make a substitution of the coordinates of point B

That would be;

7 = -(-3) + c

7 = 3 + c

c = 7-3

c = 4

So the equation of that line is;

y = -x + 4 or simply y = 4-x

Peter wants to rent an apartment for six months . What kind of lease should he look for

Answers

Answer:

A short-term lease

Step-by-step explanation:

Answer:

A 6 month lease. NOT a yearly lease.

The product of four and a number +17 is five

Answers

Answer:  n = -3

.........................

On Monday, 454 students went on a trip to the zoo. All 9
buses were filled and 4 students had to travel in cars. How many students were
in each bus ?

Answers

Answer:

50 students were in each bus.

Step-by-step explanation:

We first subtract the 4 students in cars from the total, then divide the remaining students, (450) into the 9 busses. 450 / 9 = 50. There are 50 in each bus.

14 POINTS AND BRAINLIEST HELP IM TAKING A TIMED TEST!! SHOW ALL WORK

Answers

Answer:

-1.5

Step-by-step explanation:

Solving in steps

(x-2)/7 = (2x+1)/44(x-2) = 7(2x +1)4x - 8 = 14x + 714x - 4x = -8 - 710x = - 15x = -15/10x = -1.5

7x – 5(х + 8) = 5х – 28​
Step-by-step PLEASE!!!!

Answers

Answer:

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

7x – 5(х + 8) = 5х – 28

7x - 5x + (-40) = 5x - 28

   + 5x         + 5x

 7x + (-40) = 10x - 28

- 7x             -  7x

-40 = 3x - 28

+ 28       + 28

-12 = 3x

Then divide.

-4

Deondre bought a new PlayStation for 480.50 there is a 6.5% sales tax what is the total amount that deondre paid

Answers

Answer: $511.73

-----------------------

Write 0.0007267 in scientific notation.

Answers

Answer:

7.267  ×  10  (exponent − 4)

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

7.267 X [tex]10^{-4}[/tex]

Step-by-step explanation:

I can buy 3 cans of soda for $1.05. How many cans can buy at the same rate for $21?

Answers

Answer:

20 cans

Step-by-step explanation:

Divide $21 by $1.05 and you get 20.

Answer:

60 cans of soda

Step-by-step explanation:

3 cans of soda for $1.05

$21 = ? cans of soda

21  / 1.05 = 20

so if 20 $1.05's fit in $21 then how many cans fit in $21

20 x 3 = 60

you can buy 60 cans of soda with $21

8/2(2+2) = ? Please explain in as much detail as possible.

Answers

Answer:

16

Step-by-step explanation:

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction

Step 1: Write expression

8/2(2 + 2)

Step 2: Evaluate

Parenthesis (add): 8/2(4)Divide: 4(4)Multiply: 16

answer is 16 hopefully this helped

Solve for x:
4x - 12 = 8x + 24

Answers

Answer:

4x-12=8x+12

-24=4x

-6=x

Step-by-step explanation:

put the variables to one side and numbers to the other side

then divide 4 from each side

now you have the answer

Answer: -9

Step-by-step explanation:

To solve the equation, isolate the variable, then use basic arithmetic.

Subtract 4x on both sides to obtain the equation:

-12 = 4x + 24

Subtract 24 on both sides to isolate 4x, and obtain the equation:

-36 = 4x

Finally, divide both sides by 4 to obtain the following:

-9 = x

solve.
6- X = 2x + 9

Answers

X = -1 calculate your problem and get your answer :) hope this helps.
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