MAKING AN ARGUMENT You and a friend are going hiking but start at different locations. You start at the trailhead and walk 5 miles per hour. Your friend

starts 3 miles from the trailhead and walks 3 miles per hour.

your friend

a. Using y to represent the distance each person walks and x to represent the number of hours walked, write a system of linear equations that represents this

situation.

Answers

Answer 1

Answer:

[tex]y = 5x[/tex] -- You

[tex]y = 3 + 3x[/tex] --- Your friend

Step-by-step explanation:

Given

You:

Trailhead implies the beginning so:

[tex]Start = 0\ mile[/tex]

[tex]Rate = 5miles/hour[/tex]

Your Friend

[tex]Start = 3\ mile[/tex]

[tex]Rate = 3miles/hour[/tex]

Required

Represent as an equation

From the question, we understand that:

[tex]y = distance[/tex]

[tex]x = number\ of\ hours[/tex]

So, the relationship between [tex]distance\ and\ time\ is:[/tex]

[tex]Distance = Start + Rate * Number\ of\ hours[/tex]

In terms [tex]of\ x\ and\ y[/tex], we have:

[tex]y = Start + Rate * x[/tex]

For you, the equation becomes:

[tex]y = 0+ 5* x[/tex]

[tex]y = 0+ 5x[/tex]

[tex]y = 5x[/tex]

For your friend, the equation becomes:

[tex]y = 3 + 3 * x[/tex]

[tex]y = 3 + 3x[/tex]

Answer 2

Answer:You

Step-by-step explanation: you are just better gangy


Related Questions

I WILL MAKE YOU BRAINLEST


At a farmer’s market, two vendors sell fresh milk. One vendor sells 2 liters for $3.80, and another vendor sells 1.5 liters for $2.70. Which is the better deal?

Answers

It is the vendor that sells 1.5 L for $2.70

Solve the following system of equations. 4y+3z=-7
12x-3y+z=-7
-6x+2y-2z=12

Answers

Step-by-step explanation:

12x-3y+z=-7 ‖-12x+3y

z=-7-12x+3y

so you can replace z with (-7-12x+3y)

4y+3*(-7-12x+3y)=-7

4y+(-21-36x+9y)=-7

13y-21-36x=-7 ‖+21

13y-36x=14 ‖-13y

-36x=14-13y ‖*(-1)

36x=-14+13y ‖/3

12x=-14/3+13/3y

so-6x=+14/6-13/6y

(+14/6-13/6y)+2y-2*(-7-(-14/3+13/3y)+3y)=12

(+14/6-13/6y)+2y+14-28/3+26/3y-6y=12

(+14/6-13/6y)+2y+14-56/6+52/6y-6y=12

7+2.5y=12 ‖-7

2.5y=5 ‖/2.5

y=2

so

4y+3z=-7

4*2+3z=-7

8+3z=-7 ‖-8

3z=-15 ‖/3

z=-5

12x-3*2+(-5)=-7

12x-6-5=-7

12x-11=-7 ‖+11

12x=4 ‖/12

x=1/3

I am extremely confused. Any help?​

Answers

Answer:

(x-4)(5x³+18x²+54x+215)+860

Step-by-step explanation:

This follows that when the fourth degree polynomial is divided by the monomial(x-4),it gives a third degree polynomial and some remainder r

That is:

5x⁴-2x³-18x²-x/x-4=(ax³+bx²+cx+d)+r

if so,then

5x⁴-2x³-18x²-x=(x-4)(ax³+bx²+cx+d)+r

5x⁴-2x³-18x²-x=ax⁴+bx³+cx²+dx-4ax³-4bx²-4cx-4d+r

5x⁴-2x³-18x²-x=ax⁴+x³(b-4a)+x²(c-4b)+x(d-4c)-4d+r

We can now equate the similar terms thus,the terms with the same power of x on both sides

5x⁴=ax⁴,a=5

Again,

b-4a=-2,but a=5

b-4(5)=-2

b-20=-2

b=18

Again,

c-4b=-18(but b=18)

c-4(18)=-18

c-72=-18

c=54

Again,

d-4c=-1(but c=54)

d-4(54)=-1

d-216=-1

d=215

Finally,

-4d+r=0(but d=215)

-4(215)+r=0

r-860=0

r=860

This means that when 5x⁴-2x³-18x²-x is divided by x-4,it gives5x³+18x²+54x+215 with a remainder of 860

Now rewriting it in the form as required by the question=(x-4)(5x³+18x²+54x+215)+860

June's mother was 29 when June was 5 years old. How old will June be when she is one-quarter her mother's age?

Answers

Given :

June's mother was 29 when June was 5 years old.

To Find :

How old will June be when she is one-quarter her mother's age.

Solution :

Let, age of June when she is one-quarter her mother's age is x and mother's age is y.

So, y = 4x   ...1)

Also, we know that difference between two person's age is constant.

So, y - x = 29-5

y - x = 24    ...2)

Solving equation 1 and 2, we get :

[tex]4x -x = 24\\\\3x = 24\\\\x = 8[/tex]

y = 32

Therefore, June will be 8 years old when is one-quarter her mother's age.

if i bike travels 15m in 2 sec, what is its speen in km/h?

Answers

Answer:

x=27 km

Step-by-step explanation:

Make an equation 2/.015=3600/x

Multiply 3600 by .015 to get 54

Divide 54 by 2 to get 27.

9514 1404 393

Answer:

  27 km/h

Step-by-step explanation:

(15 m)/(2 s) = (15 m)/(2 s)×(1 km)/(1000 m)×(3600 s)/(1 h)

  = (15×1×3600)/(2×1000×1) km/h = 15×1.8 km/h = 27 km/h

who wants brainlest?

what is 5 thousand + 1 ?
(very hard)

who is the most popular gamer on yt
(pls sub to him)

do you like roblx or mincraft or both

bonus question:
(five stars)
witch is better
mincraft or roblx
(your opinion)

if you want to compete in the next brainlest competition, friend me, or follow my questions, to keep yourself updated............

:)

Answers

Answer:

5001

PewDiePie

both!!

rblx, since there r similar games like mincraft in it lol

Answer:I want brainlest,5001 SUPA HARD pewdiepie (i subed)

I prefer minecraft i like both

Step-by-step explanation:

Not sure if thats what u wanted lol :D

What is 3/8 as a decimal representation and as a percent representation

Answers

Answer:

0.375 and 37.5%

Step-by-step explanation:

3/8 = 0.375

0.375*100=37.5%

Find the value of x that will make A||B.
A
В
4x
2x
x
[?]

Answers

Answer:

[tex]x = 30^{\circ}[/tex]

Step-by-step explanation:

Given

Parallel lines A and B

Required

Determine the value of x

From the attachment, 2x and 4x are consecutive interior angles and the theorem of consecutive interior angles is that:

[tex]2x + 4x = 180[/tex]

Solving further, we have:

[tex]6x = 180[/tex]

Divide both sides by 6

[tex]\frac{6x}{6} = \frac{180}{6}[/tex]

[tex]x = \frac{180}{6}[/tex]

[tex]x = 30^{\circ}[/tex]

What is 6,618 feet in yards

Answers

Answer:

2,206 yards

Step-by-step explanation:

To find how many yards there are, we can divide by 3.

6618 / 3 = 2206

Best of Luck!

Answer:

6,618 feet is 2,206 yards.

Step-by-step explanation:

can some one plz help me with this sienice qustion (will give brainlest)

Answers

Answer:

A

Step-by-step explanation:

the person above is correct! :)

Point P is located at (4,8) on a coordinate plane. Point P will be reflected over the x - axis. What will be the coordinates of the image point of point P?

A. (8, 4)
B. (-4, -8)
C. (4, -8
D (-8, 4)

Answers

Answer:

C. (4, -8)

Step-by-step explanation:

To reflect a point over a straight horizontal line, start from the original point and count how many units it takes to reach that line (going vertically). Keep that number in mind. Then, at that same point on the line, go vertically again and count that many units going away from the line. The point where you stop would be the reflected point.

In this case, starting from (4, 8) and then going down towards the x-axis would take 8 units. Taking that number and counting another 8 units down would land you at (4, -8). Therefore, (4, -8) is the answer.

Please look at the attached image for a clear visual explanation.

After falling 23 degrees f, the temperature is now 51 degrees f. What was the starting temperature?

Answers

Answer:

74

Step-by-step explanation:

its easy so you add 23 and 51 and you got the answer.

solve by substitution 3x +y=13 and 5x-2y=7​

Answers

Answer:

x=3

y=4

Step-by-step explanation:

I'm using 3x+y=13 to find y, then plug y into the second equation.

y= -3x+13

5x-2(-3x+13)=7

find x.

5x+6x-26=7

11x=33

x=3

now plug x into 3x+y=13(you could do it with the other equation too)

3(3)+y=13

y=13-9

y=4

The value of x and y is 3, and 4 respectively by the substitution method.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of equations;

3x +y=13 ...(1)

5x-2y=7​ ...(2)

By using the substitution method.

[tex]\rm 5\cdot \dfrac{13-y}{3}-2y=7[/tex]

y = 4

Plug y = 4 in equation (1)

3x + 4 = 13

x = 3

Thus, the value of x and y is 3, and 4 respectively by the substitution method.

Learn more about the linear equation here:

brainly.com/question/11897796

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lest common multiple of 60 and 90

Answers

Answer:

180

Step-by-step explanation:

PLS be quick and answer as best as you can

The following equation was written on the chalkboard: Δ + Δ + ◊ + Ꙫ ─ Δ = Ω. If Δ = 4, Ꙫ = 3 and Ω = 12, what is the value of ◊?

Answers

Answer:

4+4+x+3-4=12

8+x-1=12

7+x=12

x=12-7

=5

answer is 5

An electrician collected $1265.23 for a job that included $840 labor, which was not taxed, and the rest for parts, which were taxed at 6%. Determine how much of the total was tax.

Answers

Answer:

Total tax = $25.51

Step-by-step explanation:

Total collection = $1265.23

Tax-Free amount =  $840

so

Taxable amount = $1265.23 -  $840

                            = $425.23

Given that the taxable amount was taxed at 6%

Thus,

The total tax = 6% of 425.23

                     = 6/100 × 425.23

                     = 0.06 × 425.23

                      = $25.51

Therefore,

Total tax = $25.51

y = x - 4
y = 4x + 2
x=
y =

Answers

Answer:

(-3/2, -11/2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality PropertiesSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = x - 4

y = 4x + 2

Step 2: Solve for x

Substitution

Substitute in y:                    x - 4 = 4x + 2Isolate x terms:                   -4 = 4x + 2Isolate x term:                     -6 = 4xIsolate x:                              -3/2 = xRewrite:                               x = -3/2

Step 3: Solve for y

Define equation:                    y = x - 4Substitute in x:                       y = -3/2 - 4Subtract:                                 y = -11/2

Answer by Khan Academy:

x=−2

y=−6

​ Hope This Helped Everyone

Step-by-step explanation:

In a class 32 students, 4students we're homesick with the flu on Thursday. what percentage of the students were absent on Thursday​

Answers

Answer:

12.5%

Step-by-step explanation:

4 * 100 / 32 = 12.5

Find tan theta.
A.16/20
B.12/20
C.16/12
D.12/16

Answers

Answer:

16/12

Step-by-step explanation:

SOHCAHTOA

TOA - tan theta = Opposite/ Adjacent

Tan theta = 16/12

= 16/12

if you were told to find theta, then

tan inverse ( 16/12)

theta will be 53.13 degrees

The tangent of the given right angle triangle is [tex]\frac{16}{12}[/tex].

What is a right angle triangle?

A right angle triangle is a triangle in which one of the three angles is a right angle.

What is the tangent of an angle in a right angle triangle?

"In any right angle triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as 'tan'."

Given, Base of the right angle triangle is = 12.

The height of the right angle triangle is = 16.

The hypotenuse of the right angle triangle is = 20.

The angle between the base of the triangle and the hypotenuse is = θ.

Now,  tan θ

[tex]= \frac{Height}{Base}\\= \frac{16}{12}[/tex]

Therefore, tan θ of the given right angle triangle is  [tex]\frac{16}{12}[/tex].

Learn more about the tangent of a right angle triangle here: https://brainly.com/question/3770177

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pls help asap no trolls!

Answers

Answer:

HI

Step-by-step explanation:

In a triangle, the length size of each side corresponds to the size of the degree of the angle opposite it.

This means, the biggest angle would be opposite the side with the longest length, while the angle with the least degree will be opposite the side that is the smallest.

In ∆HIJ, the least angle measure is <J (54°).

Side length opposite to <J is HI.

Therefore the smallest side of ∆HIJ is HI

What does the word slope mean?

Answers

slope is like rise/run
slope is what you use when you need to find the steepness of a line on a graph. You find slope by doing y=mx+b

Solve 5(2x – 3) = x – 15 + 9x for x.

Answers

Answer:

Given

5(2x – 3) = x – 15 + 9x

Solving for x

5(2x – 3) = x – 15 + 9x10x - 15 = 10x - 15

Both sides are equal, any value of x is a solution, so infinitely many solutions

Step-by-step explanation:

[tex]5(2x - 3) = x - 15 + 9x \\ 10x - 15 = 10 x - 15[/tex]

Both the sides are equal

Hence no specific value of x

Therefore, x has infinite value.

geometry help please!

Answers

Answer:

x+16=4x-5

16+5=3x

21=3x

21/3=x

x=7

Select the correct equations.
Identify all of the linear functions.
2x + 5y = 13
-x2 = 3y + 10
3(2x + y) = 14
y = 13- 2x2
2 = y + x5
y = x + 7

Answers

Answer:

A linear equation is of the form:

y = a*x + b

Where a and b are real numbers, and we only have one term with x, and no powers of x larger than 1.

Let's rearrange all the given options to see if they take this form. I will isolate x for all of them.

a) 2x + 5y = 13

5y = -2*x + 13

y = (-2/5)*x + 13/5

(this is a linear equation)

b) -x^2 = 3y + 10

 -3*y = x^2 + 10

y = (-1/3)*x^2 + 10/3

(this is not a linear equation)

c) 3(2x + y) = 14

 6x + 3y = 14

 3y = 14 - 6x

y = (-6/3)*x + 14/3

(this is a linear equation)

d) y = 13 - 2*x^2

(this is not a linear equation, we have a x^2 there)

e) 2 = y + x^5

-y = x^5 - 2

(this is not a linear equation, we have a x^5 there)

f) y = x + 7

we can rewrite this as:

y = 1*x + 7

(this is a linear equation)

Answer:

i just wanted to say, that I took the test and A and F are correct, but C (the person above me says C is correct) is not correct

Step-by-step explanation:

Cassandra paid $32 for a shirt that originally cost $50. What percent of the original price did the shirt cost?

Answers

Answer:

22%

Step-by-step explanation:

You just subtract the numbers

Answer:

64%

Step-by-step explanation:

To find a percent, you have to divide the new cost by the original cost, then multiply the answer by 100.

(32/50)*100

= 0.64 * 100

= 64%

-w=-10+4w

Step by step to please

Answers

w=2

Step-by-step explanation:

-w=-10+4w

10=4w+w

10=5w

10/5=w

2=w

First subtract to get the numbers on one side and variables on the other. So we’re subtracting 4w from both sides.
-w = -10 + 4 w
-4w - 4w

Now you get after subtracting

-5w = -10

Divide both sides by -5 to cancel out the number in front of w

-5w = -10
___ ____
-5 -5


And then after diving you get

w =2

If adora watched a video that's 21:58 minutes long what time will she have to start watching to finish exactly at 11:59pm

Answers

Answer:

11:37.02 pm

Step-by-step explanation:

11:59 pm - 21:58 minutes = 11:37.02 pm

Part C
Write a question or define an attribute of the data that you couldn't answer or see with the original histogram, but can
now answer or see with the new histogram.

Answers

Answer:

This is the sample answer:

The new histogram shows that 7 trucks have a fuel efficiency of 10 to 14 miles per gallon. It’s also possible to see that the shape of the data is skewed right.

Step-by-step explanation:

Which
graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then
decreases its speed, as time increases?

Answers

Answer:

I believe the answer would be

Step-by-step explanation:

a graph that goes up and then is a straight line then it goes down.

In other words the graph would be A.

Quartile represent what percent of data.

A. 35%
B. 50%
C.25%
D.30%

Answers

The answer is 25 percent.
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