Hari's weekly allowance varies depending on the number of chores he does. He received $18 in allowance the week he did 10 chores, and $16 in allowance the week he did 6 chores. Write an equation for his allowance in slope-intercept form.

Answers

Answer 1

Answer:

y=1/2x+13

Step-by-step explanation:

The slope-intercept form is: y=mx+b, where m is the slope and b is the y-intercept of the line. First, you have to calculate the slope using the following formula:

m=y2-y1/x2-x1

You have two points:  (6, 16), (10,18) as the chores are the independent variable which is x, and the money is the dependent variable which is y.

Now, you can replace the values in the formula:

y2=18

y1=16

x2=10

x1=6

m=(18-16)/(10-6)

m=2/4

m=1/2

Now, you use the point-slope formula:

y-y1=m(x-x1)

You have to replace the value of the slope and one point and solve for y:

y-16=1/2(x-6)

y-16=1/2x-3

y=1/2x-3+16

y=1/2x+13

According to this, the answer is that the equation for his allowance in slope-intercept form is: y=1/2x+13.


Related Questions

circle centered at the origin has a radius of 5 units. The terminal side of an angle, θ, intercepts the circle in Quadrant IV at point C. The x-coordinate of point C is 3. What is the value of sin θ?

Answers

Answer:

Step-by-step explanation:

x²+y² = 5²

3²+y² = 25

y² = 16

y = ±√16 = ±4

Since the terminal side is  in quadrant IV, y = -4

sinθ = -4/5

Which function is represented by the graph?
A)f(x) = 2x + 6
B)f(x) = -2x + 6
C)f(x) = 1/2x + 6
D)f(x) = -1/2x + 6

Answers

Answer:

It is (D)

[tex]f(x) = \frac{ - 1}{2} x + 6[/tex]

Step-by-step explanation:

I hope that is useful for you

A radio disc jockey has 8 songs on this upcoming hour's playlist: 2 are rock songs, 4 are reggae songs, and 2 are country songs. The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. What is the probability that both songs are reggae songs? Write your answer as a fraction in simplest form.

Answers

Answer:

[tex] \displaystyle \frac{1}{28} [/tex]

Step-by-step explanation:

we are given 8 songs

2 are rock. 4 are reggae, 2 are country

we want to figure out the probability of getting both reggae songs

notice that, they aren't replacing thus it's an independent probability

recall that,

[tex] \displaystyle \rm P(A \: \text{and} \: B) = P(A) \times P(B \mid A)[/tex]

P(A) represents the chance of getting our subject first time and P(B|A) represents the chance of getting the same subject second time

let's figure out P(A)

we have 2 reggae songs

and total 8 songs

therefore

[tex] \displaystyle\rm P(A) = \frac{2}{8} = \frac{1}{4} [/tex]

let's figure out P(B|A)

since we took a reggae song before now we have only a reggae song

and total 8-1=7

therefore

[tex] \displaystyle \rm P(B\mid A) = \frac{1}{7} [/tex]

Altogether

[tex] \displaystyle \rm P(A \: \text{and} \: B) = \frac{1}{4} \times \frac{1}{7} [/tex]

simplify multiplication:

[tex] \displaystyle \rm P(A \: \text{and} \: B) = \frac{1}{28} [/tex]

And we are done!

what is the value of y?

Answers

Answer:

the answer to that is 4 hope it help

Answer:

y = 8

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{y}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

y = 8

What is the constant in this expression
4+8m+x

Answers

4 is the contestant in the expression

I started cutting myself because school, I cut myself even more because my parents get me in trouble because self harm. What should I do?

Answers

Answer:

For some people, when depression and anxiety lead to a tornado of emotions, they turn to self-harm looking for a release. Self-harm and self-injury are any forms of hurting oneself on purpose. Usually ..

Work out the surface area of this solid prism.
8m
x 5m
3m
4m
The diagram is not drawn to scale.
unit: m2

Answers

Answer:108

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

6ft

Step-by-step explanation:

The volume of a mini-basketball is approximately 4846.59 cubic centimeters. What is the approximate radius of a mini-basketball?
A
10.5 cm

B
11.5 cm

C
21 cm

D
23 cm

Answers

Answer:

A

Step-by-step explanation:

4/3 pi r3= 4846.59*3/4/pi=1157.625

so r3= 1157.625

so taking cube root on both sides we get

10.5 which is A

if my answer helps please mark as brainliest.

B. 10.49823 (10.5 centimeters)

Simply reverse the formula for the volume of a sphere: pi*r^3*(4/3)

pi*r^3*(4/3)=4846.59
r^3*(4/3)=1524.71751128
r^3*4=4628.1523384
r^3=1157.03813346
r=10.49823
Round.

Answer: 10.5

what is the mad of this data set? 3,6,6,8,11,15,16

Answers

Answer:

4.0408163265306

Step-by-step explanation:

if 50g of tomato serves 2 people how kilograms of tomato will be needed to serve 5 people with method​

Answers

I think 10 I’m not sure I’m sorry

The coordinates below represent a triangle that was dilated. J(-3, -12) -->
J'(-1,-4); K(-6, -15) K'(-2,-5); L(-9, -12) --> L'(-3,-4). What was the scale
factor that was used in the dilation? *
1 point
02
1/3
2/3
Option 4
Which is the correct algebraic representation of the transformation
1 point

Answers

Answer:

1/3 is the dialation

Step-by-step explanation:

Algebraic representation is (x, y) → (kx, ky), and it is by 1/3 because -3 is 1/3 of -9 and -4 is 1/3 of -12.

On a certain hot​ summer's day, 218 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $349.75.
How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

We call x the number of children and y the number of adults

We have system of equations

x + y = 218 (1)

1.25x + 2y = 349.75 (2)

(1) => x = 218 - y. Replace x in (2) 1.25 (218-y) + 2y = 349.75

=> y = 103 replace y in (1) x = 218-103 = 115

Children and how many adults swam at the public pool that​ day is : 115 and 103

Step-by-step explanation:

Can someone please help

Answers

Answer: on Saturday time taken to run 1 mile=34.5/3=11.5 min

time taken to run 1 mile=28/2.5=280/25=56/5=11.2 min

difference in time taken=11.5-11.2=0.3

he was faster on Sunday by 0.3 min/mi

P (8,4) is a point on a circle, centre O.
The tangent at P intersects the axes at points A and B.
a) Find the gradient, m, of the tangent.

Answers

Answer:g

Step-by-step explanation:

The required slope of the tangent is given as m = -2.

Given that,
P (8,4) is a point on a circle, center O, The tangent at P intersects the axes at points A and B.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the tangent m = -1 / [slope of the radius OP]
The Slope of the tangent m = -1 / [[4 - 0]/ [8 - 0]]
The slope of the tangent m = -1 / [1 /2 ]
The slope of the tangent m = - 2

Thus, the required slope of the tangent is given as m = -2.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ2

Please help , how do you do this ? ​

Answers

(-6)x (y=3x+5)                                        22x=-2            x=-2/22

4x+6y=28                                                   y=3(-2/22)+5           y=52/11                    

-6y=-18x-30

4x+6y=28

eliminate

so -18x-30=0

     4x-28=0

    =-22x-2=0

*Mark Brainlist please that took me 7 minutes

Write an equation in point-slope form of the line through the point (−1, 2) and with slope m = 2.

A. y − 2 = 2(x − 1)
B. y + 2 = 2(x − 1)
C. y + 2 = 2(x + 1)
D. y − 2 = 2(x + 1)

Answers

Answer:

D. y - 2 = 2(x + 1)

Step-by-step explanation:

y - y₁ = m (x - x₁)

y - 2 = 2 (x - (-1))

y - 2 = 2 (x + 1)

#CMIIW

PLZ HELP!! I'm really stuck

>n

Answers

A is right one to choose

what’s the answer, and how do I find it step-by-step?

Answers

Answer: 16p^8q^4r^8 The yellow one

Step-by-step explanation:

Step 1: Use Multiplication Distributive Property: (xy)^a = x^a y^a. So 4^2p^2(q^3)(r^4)^2

Step 2: Simplify 4^2 to 16. So 16p^2(q^3)^2(r^4)^2

Step 3: Use Power Rule: (x^a)^b=x^ab. So 16p^2q^6(r^4)^2

Step 4: Use Power Rule: (x^a)^b=x^ab. So the answer is 16p^2q^6r^8. The yellow one

What is the answer to 153÷1/4=?
Write answer as a fraction

Answers

Answer:

612 /1 or 6120/10

Step-by-step explanation:

factor the numerator and denominator and cancel common factors

Answer:

612 there is no fraction solution.....well i dont think so...

Step-by-step explanation:

convert 1/4 into a decimal: 1/4 = .25

                                                         DIVIDE

153 / .25 = 612

                                                        ANSWER

612

if there was a fraction solution it'll probably be 2448/4 = 612

2448/4 would be the fraction solution...

SOLVE THESE TWO FOR BRAINLY PLSSSS!!!!!!!!

Answers

Answer: 1) D

2) A

Step-by-step explanation: plz mark me brainliest

Answer:

1) C) 2) B)

Step-by-step explanation:

First one is just times them together get 12root(a^2b^2) = 12ab.

Second question, you use equation 1 to minus equation 2 get 2x = 6, then x = 3, then substitute it into either equation, for example the first one get -7*3 +  5y = 24, then solve for y, can get y = 9, so B) is correct answer.

If it is helpful, plz give me Brainliest.

What is 2 x 4 x 5 x 7 x 4

Answers

Answer:

1120 is your answer

Step-by-step explanation:

2 x 4 x 5 x 7 x 4

8×5×28

40×28

1120

Answer:

1120

Step-by-step explanation:

2 x 4 x 5 x 7 x 4

8×5×28

40×28

1120

just do number 3 quick please

Answers

Answer:

Step-by-step explanation:

Sin A = [tex]\frac{opposite side}{hypotenuse}=\frac{5}{13}\\\\[/tex]

Cos A = [tex]\frac{Adjacent side}{hypotenuse}=\frac{12}{13}[/tex]

Tan A = [tex]\frac{opposite side}{adjacent side}=\frac{5}{12}[/tex]

A = tan⁻¹ (5/12) = 22.61°

Answer:

Step-by-step explanation:

a) Sin A = opposite/hypothenuse

Sin A = 5/13 ≈ 0.3846..

b) Cos A = adjacent/hypothenus

Cos A = 12/13 ≈ 0.9230..

c) Tan A = opposite/adjacent

Tan A = 5/12 ≈ 0.4166..

d) we will use the inverse Sine function

< A = sin^-1(5/13)

< A = sin^-1(0.3846) ≈ 22.62°

P.S. You can use any of the three inverse functions to find the angle: sin^-1 | cos^-1 | tan^-1

what is 5 over 3 can be best described as ?​

Answers

5 over 3 can be described as an improper fraction

Which parent function is represented by the graph?
10-
+ 10
10-
A. An exponential parent function
B. Absolute value parent function
C. Quadratic parent function

Answers

Answer:

absolute value parent function

The correct parent function which is represented by the graph is,

⇒ Absolute value parent function.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The graph of function shown in image.

Now, We have;

The function of the graph is,

⇒ y = |x|

Hence, It is an Absolute value parent function.

Thus, The correct parent function which is represented by the graph is,

⇒ Absolute value parent function.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ5

If the probability that the Islanders will beat the Rangers in a game is 5/6, what is the probability that the Islanders will win at least five out of six games in a series against the Rangers? Round your answer to the nearest thousandth.
ANSWER IS 0.737

Answers

0.737 is the correct answer.

I Need Help! ASAP

Part A. Johnny translated ABCD 3 units to the right and 4 units up to a new position, EFGH. Draw and label EFGH.
Part b. Tom rotated ABCD to a new position, IJKL, 90º clockwise about the origin, O. Draw and label IJKL.
Part c. Tony placed a smaller car, represented as MNOP, on the coordinate plane. MNOP is a dilation of ABCD with its center at the origin and a scale factor of -0.5. Draw and label MNOP.

Answers

first is adg which cuases the positions to go up

WILL GIVE BRAINLIEST!
Given that ℓ1∥ℓ2 and the measure of ∠c = 44°, find the measures of angles a and b.
m∠a =
°
m∠b =
°

Answers

C and A are congruent since they are alternate interior angles.
Angles B and A are a linear pair. Linear pairs are supplementary as well. Since we know A is 44, all the have to do is 180-44 . That equals 136.

In short, A=44 and B=136

can you please help me with this one

Answers

Answer:

6x=-60

Step-by-step explanation:

The bike store marks up the wholesale cost of all of
the bikes they sell by 30%. Remember from the last
slide that the bike is listed for $125.
b) If the bike is discounted by 20%, how much will
Andre pay (before tax)?

Answers

Answer:

$100.00

Step-by-step explanation:

%20 off of $125 is $100 dollars

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