Two hikers walk on a trail in the direction of increasing mile marker numbers. Mandy starts at mile marker 1 and hikes at a rate of 2.5 miles per hour. At the same time, Rita starts at mile marker 2 and hikes at a rate of 3 miles per hour. The equation 2.5h+1=3h+2 represents the number of hours h it will take Mandy to catch up with Rita.

Answers

Answer 1

Let as consider, we need to find the number of hours h it will take Mandy to catch up with Rita.

Given:

The number of hours h it will take Mandy to catch up with Rita is represented by the equation

[tex]2.5h+1=3h+2[/tex]

To find:

The value of h.

Solution:

We have,

[tex]2.5h+1=3h+2[/tex]

Isolate the variable terms on one side.

[tex]2.5h-3h=-1+2[/tex]

[tex]-0.5h=1[/tex]

Divide both sides by -0.5.

[tex]h=\dfrac{1}{-0.5}[/tex]

[tex]h=-2[/tex]

We know that, time cannot be negative. So, [tex]h\neq -2[/tex].

The equation [tex]2.5h+1=3h+2[/tex] is not true for any positive value of h.

Therefore, Mandy will never catch up with Rita.


Related Questions

12
Х
18
x=
TO
This is 7th grade math

Answers

What’s the math called?

What is the slope of the line on the graph?
10
.
Enter your answer in the box

Answers

Answer:

Slope = -2

Step-by-step explanation:

use the formula y2-y1 over x2-x

Pick two points from the graph

(3,-6) and (-3,6)        

X= 3 and -3

Y= -6 and 6

6-(-6) over -3-3 = -2 (Reduce the expression, if possible, by cancelling the common factors.)                  

I need HELP ASAP RIGHT AWAY​

Answers

Answer:

line c and e

Step-by-step explanation:

helppp pleasee (picture included)

Answers

Answer:

It's D

Step-by-step explanation:

D (hdbdbdbbdbdndbddbdbdbfxbxbx

Find the missing side

Answers

Answer:

x= 40

Step-by-step explanation:

the way to figure out a cale factor is to divide a new side by an old side, in this case you could divide 24 by 15 to get 1.6

multiply the side congruent to x by 1.6, so 25 and 1.6

you should get 40

what is 5.6 rounded to the nearest tenth

Answers

6? Cuz you have to round up due to it being 5.6

Answer:

it would be 5.60

Step-by-step explanation:

5.60 is the answer

Which postulate or theorem proves that these two triangles are congruent?
A. ASA Congruence Postulate
B. AAS Congruence Theorem
C. HL Congruence Theorem
D. SAS Congruence Postulate

Answers

Answer:

Option (B)

Step-by-step explanation:

From the given picture,

Given:

Two lines PM and QR are intersecting each other at a point N.

∠NMR ≅ ∠NPQ

NR ≅ QN

To prove:

ΔMNR ≅ ΔPNQ

              Statements                               Reasons

1). NR ≅ QN                                 1). Given

2). ∠NMR ≅ ∠NPQ                     2). Given

3). ∠MNR ≅ ∠PNQ                     3). Definition of vertical angles

4). ΔMNR ≅ ΔPNQ                     4). AAS theorem of congruence

Therefore, Option (B) will be the correct option.

Answer:

B: AAS Congruence Theorem

Hanna says you cannot represent the fraction 1/4 on the number line.

Answers

Answer:

The answer is D; Hanna is not correct,. The fraction 1/4 is equal to 2/8, so you can graph it on the second tick mark to the right of zero.

Step-by-step explanation:

Because the number line is broken up into 8 parts, the points on the graph are, 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 8/8 (also known as one)

1/4 = 2/8. We know this because if we multiply 1/4 by 2, we get 2/8.

So, because 2/8 is the same as 1/4, we know that Hanna is not correct, and that you can graph 1/4 on this number line, because it is the same as 2/8.

I hope that this helps :)

Answer:D the last one.

Step-by-step explanation:

Solve the system of equations..
y = 8x - 6
y= 5x +9

Answers

Answer:

x = 5

y = 34

Step-by-step explanation:

Sub y = 8x - 6 into second equation (y = 5x + 9)

8x - 6 = 5x + 9

Rearrange by collecting like terms

8x - 5x = 9 + 6

3x = 15

x = 5

Sub x = 5 into first equation (y = 8x - 6)  

y = (8*5) - 6

y = 40 - 6

y = 34

X=5 and y= 34 are the values

HELP! Write the following equation in point slope form.

Slope of 5 and a x-intercept of -1

Answers

Answer:

y + 0 = 5 ⋅ ( x + 1 )

Step-by-step explanation:

Use the given slope and point to substitute into the point-slope formula

 y − y 1 = m ( x − x 1 ).

Answer: My answer is (5,-1) sorry for the stop - typing I had to do something.

What is 39% of 198? Percantage

Answers

Answer:

39% of 198 = 77.22

Have a nice day.

Answer:77.22Step-by-step explanation:

1: Calculate the percentage of a number.

For example: 39% of 198 = 77.22

2: Calculate a percentage based on 2 numbers.

For example: 77.22/198 = 39%

hope this help!

a football stadium, 55% of the crowd is cheering for Team A, and 48 % of the crowd is female . 19% of the crowd is cheering for Team A and female . What is the probability that a randomly selected Person from the crowd are cheering for Team A or female?

Answers

Answer:

67%

Step-by-step explanation:

I added 48%+19%

(x + 1)(x - 3)(x - 4)

Answers

Answer:

Simplified:

x^3 - 6x^2 + 5x + 12

Roots:

-1

3

4

Your answer is x^3-6x^2+5x+12

The Y- intercept form from the line whose slope is 2 and passes through (-7,11)

Answers

Answer:

y = 2x + 25

Step-by-step explanation:

Slope-Intercept Form: y = mx+b

Slope: m = 2

y = 2x + b

Solve for b:

y = 2x + b

11 = 2(-7) + b

11 = -14 + b

b = 25

y = 2x + 25

NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT

Answers

Answer:

p = 45 - 2.5f

Step-by-step explanation:

5f + 2p = 90

just manipulate the equation, treat it like a regular algebra equation and solve for p by inverse operations and simplifying

5f + 2p = 90

-5f           -5f

2p = 90 - 5f

/2       /2

p = [tex]\frac{90 -5f}{2}[/tex]

p = 45 - 2.5f


Can you hellllp me pleaaaseeee

Answers

Answer:

Total interest = A - P = $2,223.00

Total amount = $10,023.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 9.5%/100 = 0.095 per year.

Solving our equation:

A = 7800(1 + (0.095 × 3)) = 10023

A = $10,023.00

The total amount accrued, principal plus interest, from simple interest on a principal of $7,800.00 at a rate of 9.5% per year for 3 years is $10,023.00.

984 divide 24????????

Answers

Answer:   41

Step-by-step explanation:

please help me 60 points please show all work this is due in 15 minutes
5x-(3x-6)=18

2(3x-4)=10

2x+7=5x+16

x/3-8=-2

3x – 6 = -12

x/-3=8

Answers

1. 5x-(3x-6)=18
5x-3x+6=18
2x=12
X=6

6. X/-3=8
(-3) x/-3= 8(-3)
X= -24

Write an expression meaning a number divided by 4 + 8.

Answers

Answer:

x/4+8

Step-by-step explanation:

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

Answer:

what i believe you are looking for:

[tex] \frac{x}{4 + 8} [/tex]

An 8-ounce bottle of glue costs $1.92. What is the unit price

Answers

Answer:

$0.27 for 1 ounce

Step-by-step explanation:

Hope this helps!!!

please help I am struggling with these problems​

Answers

It is the first option

What is sin 60 degrees?

Answers

Answer:

A

Step-by-step explanation:

What is 7/8 minus 6 3/4

Answers

Answer:

(7/8) - (6 3/4) = -5.875

In the figure below, Triangle A has been rotated about the origin. Which Triangle shows a 270 degree counterclockwise rotation?

Answers

Answer:

Square

Step-by-step explanation:

Write 7power of 8 times 7power4
Over 7 cubed
as a single power of 7

Answers

Answer: U should try a video because i can't do exponents on my computer and i don't have time to write it.

Step-by-step explanation:

Can someone help me find. The mean absolute deviation of the data?

Answers

Answer:

F

Step-by-step explanation:

21+14+30+38+42= 145

145÷5= 29

Hope this helps, have a good day!

8.673

8.637

Is 8.673 greater, least, or are they equal?

Answers

Answer:

the answer is greater...

Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each side to answer the question. Which statement about triangle QRS is true?

a. Triangle QRS is an equilateral triangle because QR = RS.

b. Triangle QRS is an isosceles triangle because QR = QS.

c. Triangle QRS is a scalene triangle because all sides have different lengths.

d. Triangle QRS is an isosceles triangle because QR = RS.

Answers

Answer:

D. Triangle QRS is an isosceles triangle because QR = RS.

Step-by-step explanation:

Find the length of each side of the triangle using the formula for calculating the distance between two points.

D = √(x2-x1)²+(y2-y1)²

For side RS

R(0,0) and S(5, -3.322)

RS = √(5-0)²+(-3.322-0)²

RS = √25+11.035684

RS = √36.035684

RS = 6.0029

For side RQ

R(0,0) and Q(-3, -5.2)

RQ = √(-3-0)²+(-5.2-0)²

RQ = √9+27.04

RQ = √36.04

RQ = 6.0033

For side QS

Q(-3,-5.2) and S(5, -3.322)

QS = √(5+3)²+(-3.322+5.2)²

QS = √64+3.526884

QS = √67.526884

QS = 8.22

From the calculation it can be seen that RS=QR

Since the two sides f the triangle are equal, hence the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides equal

Answer:

D.

Step-by-step explanation:

A board 8 ft long is cut into three equals pieces. How long are the pieces?

Answers

Answer:

A

Step-by-step explanation:

674
x 38
Multiply by the ones.
Multiply by the tens.
+ Add the partial products.
+

Answers

Answer:

25612

Step-by-Step Explanation:

Simple multiplication

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