Andrea and Peter are riding their bicycles in the same direction on the same path. Andrea started 6 miles ahead of Peter and is traveling at a rate of 12 miles per hour. Peter is traveling at a rate of 14 miles per hour. After how many hours will Peter catch up to Andrea? Write and solve an equation to model the problem. Explain the meaning of the solution.

Answers

Answer 1

Answer:

3 hours

Step-by-step explanation:

Step one:

given

Andrea started 6 miles ahead of Peter and is traveling at a rate of 12 miles per hour.

let the number of hours be x

and the total distance traveled be y

y=6+12x------------1

the initial distance is 6 miles

the distance traveled after x hours = 12x

Peter is traveling at a rate of 14 miles per hour.

y=14x------------2

the initial distance is 0 miles

the distance traveled after x hours = 14x

Step two:

let us equate the two expressions above

6+12x=14x

14x-12x=6

2x=6

divide both sides by 2

x=6/2

x= 3 hours

it will take 3 hours for both of them to cover the same distance


Related Questions

Hey, Whats The answer please explain your answer marking brainliest:D Im tired....

Answers

B. kevin is correct. amy did not line up the decimals correctly

-3x-3y=3 ,y=-5x-17 solving systems by substitution

Answers

Answer:

(-4, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations by substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-3x - 3y = 3

y = -5x - 17

Step 2: Solve for x

Substitution

Substitute in y:                    -3x - 3(-5x - 17) = 3Distribute -3:                       -3x + 15x + 51 = 3Combine like terms:           12x + 51 = 3Isolate x term:                     12x = -48Isolate x:                              x = -4

Step 3: Solve for y

Define equation:                    y = -5x - 17Substitute in x:                       y = -5(-4) - 17Multiply:                                  y = 20 - 17Subtract:                                 y = 3

32% of what weight is 60 oz​

Answers

Answer:

200 oz

Step-by-step explanation:

Just use the equation

0.32x=200

The number of 32% which result in 60 oz would be 18.75

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a' the percent that considered thing is of "a" is b%. Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts.

We need to find the number that is state 32% of number weight is 60 oz​

Let the unknown number is represneted by b.

It can be written by;

32% x b = 60

32/100 x b = 60

0.32 x b = 60

b = 60/0.32

b = 18.75

Therefore, the number would be 18.75

Learn more about percentage here:

brainly.com/question/11549320

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Use the following function rule to find

Answers

Answer:

what rule my screen is white

Write the slope-intercept form of the equation of the line with slope= -3 that passes through the point (0, -9)

Answers

Answer:

y=-3x-9

Step-by-step explanation:

HELPPPPPP PLEASEEEE!!!!!

Answers

Answer:

DE = 34

AC = 68

Step-by-step explanation:

since DE are midpoints, you can create this equation: 2(8x + 2) = 20x - 12

solve:

16x + 4 = 20x - 12

16x + 16 = 20x

16 = 4x

4 = x

plug this into both equations to find each side:

DE: 8(4) + 2 = 34

AC: 20(4) - 12 = 68

we know our answer is right because AC is twice as long as DE

.
5. The diameter of a cylinder is 18.5cm and length is 6.1m. Find the surface area of
the curved surface.​

Answers

the curved surface area is equal to about 354.53

What is the area of this tile? 4 in. and 1 in.

Answers

Answer:

4

Step-by-step explanation:

Answer:

4 square inches

Step-by-step explanation:

4x1=4

area= sqin

In two or more complete sentences, describe the transformation(s) that take place on the parent function f(x)=log⁡(x) to achieve the graph of g(x)=log⁡(−3x+9)+4.​

Answers

Answer:

GHOST TOWN a_a

Step-by-step explanation:

HELLO

I will give out brainliest noooooo spams ok

Answers

Answer:

0.077

Step-by-step explanation:

Marco can divide 77 by 1000 to convert it to dekagrams

There are 0.077 decagrams per 77 centagrams

(i will give brainliest for the first answer)
Triangle XYZ has vertices X(-3, -2), Y(-1, 0),
and Z(1, -6). Find the vertices of triangle
X’′Y’′Z′’ after a reflection over the x-axis.

Answers

Answer:  X"  ( -3,2)    Y" (-1,0)   Z" (1,6)

Step-by-step explanation:

find the value of each variable

Answers

Answer:

x=67 y=113 x=52

Step-by-step explanation:

85+28= 113

180-113=67

67= x

67+28=95

95+85=180

y= 28+ 85 =113

113+15= 128

180-128=52

52=x

HELP ME ASAP I HAVE SO MANY QUESTIONS THAT WILL SAY THIS BUT HELP MEEE!!!(timed!!)


r. Parks spent $96.30 on 3 hats and 6 key chains.




a. If each hat cost $15.50, how much did each key chain cost?

Each key chain costs $
.
Question 2
b. Claire said each chain costs $0.83. Why is her answer unreasonable? Explain.

Answers

Answer:

1. $8.30

Step-by-step explanation:

so 3 hats were purchased and each cost 15.50 so

15.50*3=46.50

and the rest of the 96.30 is 6 keychains so

96.30-46.50=49.80

and there is 6 keychains

49.80/6=8.30

Each key chain was $8.30

Claire's answer is unreasonable because when we got the price of the keychains all together in Claire's mind the total for the keychains would be $4.98, which we clearly got the total for the keychains at $49.80.

The cost of each keychain is  $5.79 which parks bought.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Parks spent $96.30 on 3 hats and 6 key chains and the cost of each hat is $15.50 and assuming the cost of each key chain to be 'x'.

Therefore, The expression that represents this context is,

3×15.50 + 6x = 96.30.

6x = 96.30 - 46.50.

6x =  49.8.

x = 49/8.6.

x = 5.79.

So, The cost of each key chain is $5.79.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Find the slope

Please help

Answers

Answer:

C

Step-by-step explanation:

It rises and and runs (to the right) 3,

The full expression would be y = 8/3x +4

Hope that helps

The answer is C since it’s rise over run. So it’s 8/3

Can you help me with this plzzzzzzz

Answers

Answer:

E: x = 13

F: x = 1.5 or 3/2

Step-by-step explanation:

This is for E:

x + 2/3 = 5

All you do is first multiply 5 * 3

and you will get 15

x + 2 = 15

Then you subtract from 15

15 - 2 = 13

So x = 13

This is for F:

10(x - 1) = 5

So all you do is distribute the 100 with x -1

10 * x = 100x

10 * -1 = 100

10x - 10 = 5

Then you add 10 to 15 because the number is -10

5 + 10 = 15

10x = 15

Now you divide by 10 on both sides

10x/10 = 15/10

10x/10 = x

15/10 = 3/2

So the answer for F is 3/2 or 1.5

Which function has an inverse that is also a function?
o f(x) = 4x + 7
Oh (2) = 17
O j(x) = 3cº
O g(x) = 2 – 3

Answers

Answer:

G(x) = 2x - 3 has a linear inverse which is a function.

k(x) = -9x2 has a square root inverse that is a function on only the interval x < 0.

Step-by-step explanation:

The inverse of a function is a reflection across the y=x line. This results in switching the values of the input and output or (x,y) points to become (y,x). This can be done algebraically in an equation as well. Begin by switching the x and y in the equation then solve for y.

x = 2y - 3 -------> y = x/2 + 3/2 is linear and a function.

-9y2 = x --------> y = √(-x/9)  is a square root that is a function on only the interval x < 0.

Absolute value does not have an inverse function.

x = -20 is a vertical line which is not a function.

Brainliest please?

What is parallel to 5x+2y=8

Answers

y=2.5x+1 is parallel

math work
pls help
bleh

Answers

Answer:

yes

Step-by-step explanation:

substitute 4 for g. 4x5= 20 and 20 is definitely less than or equal to 25

Answer:

yes

Step-by-step explanation:

Given

5g ≤ 25

If g = 4 then

5g = 5 × 4 = 20 and

20 ≤ 25

Thus g = 4 is a solution of the inequality

PLEASE HURRY

The length of the base of an isosceles triangle is x. The length of a leg is 5x - 6. The perimeter of the triangle is 54. Find x.
X

Answers

The answer (I believe) Is 6.

bc you do this...

x+(5x-6)+(5x-6)=54

then solve

Need answer asap pls help!!

Answers

Answer:

C, Or : This shows that it takes 2/3 of an hour to mow a lawn

Step-by-step explanation:

It simple. you just read the question. not that hard. .-.

Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping.​

Answers

Answer:

$177

Step-by-step explanation:

Answer:

117

Step-by-step explanation:

184+38=222

222-45=117

- B is the midpoint of line segment AC. If AB = 3x - 8 and BC = x + 12, find the value of x.

Answers

X=10 it’s pretty simple my guy

Answer: 13

Step-by-step explanation:

Line p has an equation of y=8/3x+2. Line q, which is parallel to p, includes the point (-2,-5). What is the equation of line q?

Answers

Answer:

y = [tex]\frac{8}{3}[/tex] x + [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{8}{3}[/tex] x + 2 ← is in slope- intercept form

with slope m = [tex]\frac{8}{3}[/tex]

Parallel lines have equal slopes , thus

y = [tex]\frac{8}{3}[/tex] x + c ← is the partial equation

To find c substitute (- 2, - 5) into the partial equation

- 5 = - [tex]\frac{16}{3}[/tex] + c ⇒ c = - 5 + [tex]\frac{16}{3}[/tex] = [tex]\frac{1}{3}[/tex]

y = [tex]\frac{8}{3}[/tex] x + [tex]\frac{1}{3}[/tex] ← equation of parallel line

Noel’s brother is 3 times as old as Noel. The sum of their ages is less than 20. What’s the oldest age that Noel could be?


Identify:


Strategize:


Set up:


Solve:


Check




please help meeee!!!!

Answers

The oldest age noel can be is 10 because
you set up the equation let’s say noels brother is x so x=3n and the other equation x+n<20 so then you replace x with 3n since there equal to each other so u have 3n+n<20 the you subtract n and 3n by n to eliminate the variable and u end up with 2n<20 and you divide both sides by 2 to get the variable by its self and then you get n<10

Answer:

The oldest Noel can be is 6

Step-by-step explanation:

6x3=18

18<20

Noel: 6

Noels' brother: 18

The price of a shirt was reduced from $40 to $28. By what percentage was the price of the shirt reduced?

A. 28%

B. 12%

C. 70%

D. 30%

Answers

Answer:

its B.12%

Step-by-step explanation:

It is C. 70%

$40 • .70 = $28

What does 2/3 + 7/8 equal

Answers

Answer: 1 13/24

Step-by-step explanation:

We need to convert 2/3 and 7/8 to have a common denominator. They both have a common denominator of 24 so...

We convert:

2/3 x 8/8=16/24

7/8 x 3/3 = 21/24

Then we add:

16/24 + 21/24 =37/21

Then we convert to a mixed number:

37/24= 1 13/24

The graph represents f(x) = x + 3

On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 5, negative 1) to (negative 4, negative 1). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (1, 5) to (2, 5).

What is f(−2.2)?

-2
0
1
2

Answers

The answer to this question is (-2,0)

Answer:

The answer is C, 1.

Step-by-step explanation:

The answer is simple. You round up to the nearest whole number (cant be a negative,) and it can't be a 0. Therefore, you get 1.

-4 l3x-5 l +11=-13

The lines are for absolute value

Please help and explain if possible​

Answers

Answer:

my Ans is 2 1 0 6 3 = 0

Step-by-step explanation:

is this Ans correct

Ryan goes the mall with his friends after school. At the mall he purchases four pairs of basketball shorts and a pair of sneakers for $100 if he spends a total of $200 how much money did he spend on each pair of basketball shorts?

Answers

Answer:

$25.00

Step-by-step explanation:

200-100=100

100/4=25

Given
Base ball shorts = 4
Sneakers = $100
Total = 200

Total - Sneakers
200 - 100 = 100

We have 100 left and 4 pairs of basketball shorts

Left divided by Basket ball shorts
100 divided by 4

= 25

Therefore each pair of basketball shorts costs $25

- I hope this helped and you could give me brainlest

what equation would i use to find 5/9 of 39.6?

Answers

Answer:

( 39.6 * 5 ) / 9

Step-by-step explanation:

( 39.6 * 5 ) /  9                Equation

( 198 ) /  9                        Done operation in brackets

22                                   Removed parenthesis

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