One of your friends gives you $10 for a charity walkathon. Another friend gives you an amount per mile. After 5 miles, you have raised $13.50 total. Write an equation in slope-intercept form that represents the amount y of money you have raised after x miles.

y=

Answers

Answer 1

Answer:

y  = 0.70x-  10.00

Step-by-step explanation:

--  Since one friend gave you 10.00 ,subtractthis from the 13.50 to give you the amount earned by walking the 5 miles

--  13.5-10.00  =  $3.50  

--  Since you walked 5 miles, divide by 5 to give you 0.70 per mile earned.

So, an equation that represents the amount of money earned is:  

y  = 0.70x-  10.00  . This is in slope-intercept form; the slope is $0.70 and represents the amount of money earned per mile  and the intercept is $10.00 and represents the initial amount of money that you were given.


Related Questions

HELPPP :(
Max is mountain hiking at a constant rate.

This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking.

Which statement best describes Max's elevation, given this equation?

Max started at a height of 10 meters and is ascending at 30 meters per hour.

Max started at a height of 10 meters and is descending at 30 meters per hour.

Max started at a height of 30 meters and is ascending at 10 meters per hour.

Max started at a height of 30 meters and is descending at 10 meters per hour.
(If you don’t know the answer, please don’t spam :<)

Answers

Answer:

D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.

The statement that  best describes Max's elevation, given this equation is

D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.

Given that,

This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking.

Explanation regarding the statement:The max should begins at the height of 30 meters. And, the ascending at 10 meters per hour.

Learn more about the height here: https://brainly.com/question/5281804

A recipe calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice. How much grape juice would you need to mix with 15/4 of sparkling water?

Answers

Answer:

15/8 quartz of grape juice

Step-by-step explanation:

Given that:

Standard Recipe requirement :

1 1/2 quartz of sparkling water requires 3/4 quatz of grape juice

Number of grape juice required for 15/4 of sparkling water ;

Let quartz of grape juice required = x

1 1/2 sparkling water = 3/4 grape juice

15 /4 sparkling water = x grape juice

3/2 = 3/4

15/4 = x

Cross multiply ;

3/2 x = 15/4 * 3/4

3/2x = 45/ 16

x = 45/16 ÷ 3/2

x = 45/16 * 2/3

x = 90/48 = 15/8

x = 15/8 quartz of grape juice

Mrs. Martinez uses 1.5 pounds of flour for each loaf of bread she makes. How many
complete loaves of bread could she make with a 25-pound bag of flour?
A 16
B 17
C 26
D 37
I feel like its A or B bu idk which.. HELP

Answers

Answer:

16

Step-by-step explanation:

It would be 16 and one half but that’s not a choice so it would be 16 because when you add up 1.5 up closest to 25 you get 16 so therefore A is the answer


You randomly select one truck owner. What is the probability that he owns a Dodge or has four
wheel drive?

Answers

Answer:

50%

Step-by-step explanation:

hope this helped

this would be 50% of owning a dodge

Tell what number you would add to each side of the inequality to solve the inequality.
f-2 ≤ 3
Add ___ to each side of the inequality

Answers

Answer: Add 2 to each side

We do this to undo the "minus 2" or "subtract 2" that is happening to the variable f. Addition is the opposite of subtraction.

Solving that inequality leads to [tex]f \le 5[/tex] meaning f can be 5 or smaller.

question in pic. please help!

Answers

Answer:

Arranging from longest (at top) to shortest (at bottom)

DF

EF

DE

Step-by-step explanation:

We need to place the sides of triangle DE, DF and EF from longest to shortest.

The triangle has longest side that is opposite to the largest angle

We know two angles < E= 61° , <F= 59° we need to find <D

Sum of angles of triangle = 180°

So, 61°+59°+<D=180°

120°+<D=180°

<D=180°-120°

<D=60°

So, the largest angle is <E= 61°

The longest side must be opposite to <E so, the side is DF

The second largest angle is <D=60° so, second side will be EF

The smallest angle is <F=59° so, third (shortest) side will be DE

Arranging from longest (at top) to shortest (at bottom)

DF

EF

DE

is 18/42 rational or irrational

Answers

Answer:

Step-by-step explanation:

rational

Answer:

Rational

Explanation:

18/42 is 4.258 which is a rational number

Will give brainlist if correct.

Answers

Answer: [tex]\frac{1}{16}[/tex]

Step-by-step explanation:

1. Original Equation: [tex]4^4(4^-^7)(4)[/tex]

2.Simplify: [tex]4^4(4^-^7)(4) ----> 4^4* 4^-^7 * 4\\[/tex]

3.Apply exponent rule: [tex]4^4^-^7^+^1[/tex]

4. Simplify: [tex]4^-^2\\[/tex]

5.Apply exponent rule: [tex]\frac{1}{4^2}[/tex]

6.Simplify: [tex]\frac{1}{16}[/tex]

Mr. Sampson fills the family pool with water for
the summer. After two hours, the water has
reached a depth of 2.5 feet. After three hours,
the water level has risen to 3 3/4feet. If the
relationship between time and water depth is
proportional, what is the constant of
proportionality?

Answer

A.1


B.1 1/4

C.1 1/2

D.2

Answers

Answer:

A, because the difference between 2.5 and 3 3/4 is 1. Thanks!

A graph titled Passing Statistics has pass attempts on the x-axis, and yards on the y-axis. A line goes through points (24, 127) and (36, 163).
The scatterplot shows how many pass attempts and yards a quarterback has in different football games. Notice that the line passes through the second point from the left, (24, 127) and the farthest point on the right (36, 163).

What is the slope of the trend line?

Answers

Answer:

1/3x

Step-by-step explanation:

Subtract x by x and y by y to find the distance/difference

36            163

24,          127

= 12/36 = rise/run

Now reduce to find the slope, reduce until you can't anymore.

12/36

6/18

3/9

1/3 (that's your slope)


Write the inequality graphed below. Use "x" as your variable



Answers

Answer:

x is greater than or equal to 3. x > 3

Step-by-step explanation:

A water balloon is thrown upward from a height of 5 feet with an initial velocity of 35 feet per second. The quadratic function h(t)=-16t^2+35t+5 represents the height of the balloon, h, in feet t seconds after it is thrown. Determine when the balloon is more than 10 feet above the ground. Round your answer to the nearest thousandth.

Answers

Answer:

t>2.034s and t>0.154s

Step-by-step explanation:

Given the quadratic function h(t)=-16t^2+35t+5 which represents the height of the balloon, h, in feet t seconds after it is thrown.

To determine when the balloon is more than 10feet above the ground, we will substitute h = 10 into the expression to have;

h(t)=-16t^2+35t+5

-16t^2+35t+5>10

-16t^2+35t+5-10>0

16t^2-35t+5>0

Find t;

t > 35±√35²-4(16)(5)/2(16)

t>35±√1225-320/32

t>35±√905/32

t>35±30.08/32

t > 35+30.08/32 and t > 35-30.08/32

t>65.08/32 and t>4.92/32

t>2.034s and t>0.154s

Hence the balloon is more than 10feet above the ground at when t>2.034s and t>0.154s

5/8 divided by 1 and 1/3?

Answers

Answer:

15/32

Step-by-step explanation:

First convert 1 1/3 to improper fraction:

  1 1/3 = 4/3

5/8 divided by 4/3 is same as...

  [tex]\frac{5}{8} * \frac{3}{4} = \frac{15}{32}[/tex]

An amount P at 6% for 5 years compounded monthly increased to $15000.00. What is P? (Round answer to cents)

Answers

Answer:

$20,232.75

Step-by-step explanation:

I hope it helped

The diameter of a proton is 1.7 x 10-15 meters and the diameter of an atom is 5 x 10-10 meters. What is the difference in the diameters? Write your answer in scientific notation.

Answers

Answer:

[tex]4.99\times 10^{-10}\ m[/tex]

Step-by-step explanation:

Given that,

The diameter of a proton is 1.7 x 10⁻¹⁵ meters

The diameter of an atom is 5 x 10⁻¹⁰ meters.

We need to find the difference in the diameters.

[tex]D=5\cdot10^{-10}-1.7\cdot10^{-15}\\\\=4.99\times 10^{-10}\ m[/tex]

So, the difference in the diameter is [tex]4.99\times 10^{-10}\ m[/tex].

I need help here plz​

Answers

Answer:

E -5

Step-by-step explanation:

As of July 1, 2014, the population of India was about 1,267,000,000. How can you write this number in scientific notation?
1. Move the decimal point to the right of the first digit. What is the first factor?

Answers

Answer:

1) 1.267x10^9

2) 2

Step-by-step explanation:

Eric and Shiloh each have a savings account. The ratio of Eric's balance to Shiloh is 4:3. Together they have a total of $40 in their accounts. How much money does each bar represent

Answers

Answer:

[tex]Eric= \$22.86[/tex]

[tex]Shiloh = \$17.14[/tex]

Step-by-step explanation:

Represent Eric with E and Shiloh with S;

[tex]E:S = 4:3[/tex]

[tex]Total = \$40[/tex]

Required

Determine the how much money each have

We have to convert the ratio to fraction;

For Eric, we have

[tex]Eric= \frac{E}{E + S} * Total[/tex]

[tex]Eric= \frac{4}{4 + 3} * \$40[/tex]

[tex]Eric= \frac{4}{7} * \$40[/tex]

[tex]Eric= \frac{\$160}{7}[/tex]

[tex]Eric= \$22.86[/tex]

[tex]Shiloh = Total - Eric[/tex]

[tex]Shiloh = \$40 - \$22.86[/tex]

[tex]Shiloh = \$17.14[/tex]

What is the equation of the línea perpendicular to y= -3x + 3/5 that Goes through point (-2, 3 )

Answers

Answer:

y=1/3x+11/3

Step-by-step explanation:

y=mx+b

y=1/3x+b

3=1/3(-2)+b

3 = -2/3+b

+2/3 +2/3

11/3=b

So the equation of the line that perpendicular to y= -3x + 3/5 that Goes through point (-2, 3 ) is y=1/3x+11/3.

Suppose there are two circles where the radius of one circle is twice the radius of the other circle. Each circle has an arc where the measures of the corresponding central angles are the same. What is the relationship between the arc lengths in the two circles? Explain. (2 points)​

Answers

Answer:

[tex]L=2l[/tex] where [tex]l,L[/tex] denote arc lengths of two circles

Step-by-step explanation:

Let [tex]l,L[/tex] denote arc lengths of two circles, [tex]r,R[/tex] denote corresponding radii and

[tex]\alpha _1\,,\alpha _2[/tex] denote the corresponding central angles.

So,

[tex]l=r\alpha _1[/tex] and [tex]L=R\alpha _2[/tex]

This implies [tex]\alpha _1=\frac{l}{r}[/tex] and [tex]\alpha _2=\frac{L}{R}[/tex]

As each circle has an arc where the measures of the corresponding central angles are the same, [tex]\alpha _1=\alpha _2[/tex]

[tex]\frac{l}{r}=\frac{L}{R}[/tex]

As radius of one circle is twice the radius of the other circle,

[tex]R=2r[/tex]

[tex]\frac{l}{r}=\frac{L}{2r}\\\frac{l}{1} =\frac{L}{2}\\L=2l[/tex]

PLEASE HELP

At a family reunion, 6 families share 500 photos equally. How many photos does 13 each family get and how many photos are left over?​

Answers

Answer:

83 photos each

2 photos left over

Answer:

Each Family gets 83 photos each and 2 photos are left over

Step-by-step explanation:

Hope this helps and have a great day :)

Two water tanks are being filled. The water in Tank A is 3 inches deep, and the depth of the water increases 4
inches every hour. The water in Tank B is 10 inches deep, and the depth is increasing by 2 inches every hour.
Write an inequality to determine when the water in Tank A will be deeper than the water in Tank B.

I need an inequality written for what is written above please!!!

Answers

Answer:

i think it is this:

tank a: 6 hours?

tank b: 7 hours?

Step-by-step explanation:

sorry if im wrong if you can please give me brainliest<3 have a good day

PLS HELP FAST WITH THIS QUESTION ​

Answers

I think 13 because 5 diveded by 65 is13 so if u times that by 1 it’s 13

(04.01 LC)
The coordinates of point A on a grid are (-2,-4). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are
- 4). (5 points)

Answers

Answer:

(2, -4) would be point b.

Step-by-step explanation:

This is because -2 was on the negative side of the x axis before the refection and now it's on the positive side of the x axis

Answer:

it would be (2,-4)

Step-by-step explanation:

correct me if I'm wrong

Stay Safe

Stay Strong

Stay Awesome

Please help me with this

Answers

Answer:

B 4/3

Step-by-step explanation:

3^32^9/3^42^7

B 4/3

Why is the function below called a rational function?

f(x) =x+3
——
x-2

Answers

a rational function is any function which can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials

ax+by=c What is the equivalent equation

Answers

Ax plus BY equals C.

Brainliest to right answer.

Answers

Answer:

c=-5

Step-by-step explanation:

Answer:

c = -5

Step-by-step explanation:

This is the answer because:

1) We first have to isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps!

Solve 14n+ 6p - 8n = 18p for
A.
n =
-
B. na
C. n = 4p
D. n = 2p

Answers

Answer: d n = 2p

Step-by-step explanation:

Una caja registradora contiene $1782 en monedas de cinco pesos, de diez y de un peso. Hay 802 monedas en total, y 10 veces más de 5 que de a 10 ¿Cuántas monedas hay de cada una en la caja registradora?

Answers

Answer:

En la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas un peso.

Step-by-step explanation:

De acuerdo a la información, puedes escribir las siguientes ecuaciones:

x+y+z=802 (1)

5x+10y+z=1782 (2)

x=10y (3)

Primero debes reemplazar (3) en (1) y (2):

10y+y+z=802

11y+z=802 (4)

5(10y)+10y+z=1782

50y+10y+z=1782

60y+z=1782 (5)

Ahora, tienes dos ecuaciones:

11y+z=802 (4)

60y+z=1782 (5)

Puedes despejar z en (4):

z=802-11y (6)

Después, puedes reemplazar (6) en (5):

60y+802-11y=1782

49y=1782-802

y=980/49

y=20

Puedes reemplazar el valor de y en (3) para encontrar x:

x=10y

x=10(20)

x=200

Puedes reemplazar el valor de y en (6) para encontrar z:

z=802-11(20)

z=802-220

z=582

De acuerdo a esto, en la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas de un peso.

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