Hari's weekly allowance varies depending on the number of chores he does. He received $24 in allowance the week he did 16 chores, and $18 in allowance the week he did 4 chores. Write an equation for his allowance in slope-intercept form.
i need help!

Hari's Weekly Allowance Varies Depending On The Number Of Chores He Does. He Received $24 In Allowance

Answers

Answer 1

Answer:

y = (1/2)x + 16

Step-by-step explanation:

General point/slope form is

y = mx +b (the two points given are (4,18) and (16,24))

slope = rise/run = (24-18)/(16-4) = 6/12 = 1/2

y = (1/2)x + b

pick one point (4,18) and plug in

18 = (1/2)4 + b

18 = 2 + b

b = 16 (he still gets $16 for zero chores)

So

y = (1/2)x + 16


Related Questions

Can someone help me on this?

Answers

Answer:

b^-6+11

b^5

Step-by-step explanation:

answer to your question is b^5

Find area of the composite figure..

Answers

Answer:

627square inches

Step-by-step explanation:

Area of the composite figure.. = area of triangle + area of parallelogram

Since the triangle is an equilateral triangle;

Area of the triangle = r²sintheta

Area of the triangle = 18²sin60

Area of the triangle = 324sin60

Area of the triangle  = 324(0.8860)

Area of the triangle = 280.584 square in

Area of the triangle = 281 square inches

Area of parallelogram = absintheta

Area of parallelogram = 20(20)sin60

Area of parallelogram = 400(0.8660)

Area of parallelogram = 346.4square inches

Area of parallelogram = 346 square inches

Area of the figure = 346  + 281

Area of the figure  = 627square inches

HI could some please help me out , I will give BRAINLEST

Answers

The answer is y = -1/3x + 2

Because the y intersect is located at (0,2) we know that the b value in the formula y=mx + b is 2 and using rise over run we determine the slope to be -1/3

Answer:

[tex]y=-1/3x+2[/tex]

--------------------------

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]=\frac{2-1}{0-3}[/tex]

[tex]=1/-3[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-1=-1/3(x-3)[/tex]

[tex]y-1=-1/3x+1[/tex]

[tex]y=-1/3x+2[/tex]

--------------------

hope it helps...

have a great day!!

Help plz i will give brainliest!!!!!

Answers

Answer:

{3,4,5,7,9,10,13,17}

Step-by-step explanation:

The U means union and that means join sets A and B together

A U B

{3,4,5,7,9,10,13,17}

rite 4 and 5 as a percentage​

Answers

Answer:

4/5 as a percentage is 80%

if you want to write 4 and 5 as a percentage . . .

You can't do that

[tex]2h-3\ \textgreater \ 15[/tex]

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{2h - 3 }\mathsf{>}\large\textsf{ 15}[/tex]

[tex]\large\text{ADD 3 to BOTH SIDES}[/tex]

[tex]\large\textsf{2h - 3 + 3 }>\large\textsf{ 15 + 3}[/tex]

[tex]\large\text{CANCEL out: \textsf{-3 + 3} because that gives you 0}[/tex]

[tex]\large\text{KEEP: \textsf{15 + 3} because it helps you solve for your h-value}[/tex]

[tex]\large\textsf{15 + 3 = \boxed{\large\textsf{\bf 18}}}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{2h} }\mathsf{>}\large\textsf{ 18}[/tex]

[tex]\large\text{DIVIDE 2 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{2h}{2}>\dfrac{18}{2}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\text{ because it gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{18}{2}}\large\text{ because it gives you your h-value is being compared to}[/tex]

[tex]\large\text{NEW EQUATION: }\mathsf{h > \dfrac{18}{2}}[/tex]

[tex]\mathsf{\dfrac{18}{2}}[/tex]

[tex]\mathsf{= 18\div 2}[/tex]

[tex]=\boxed{\mathsf{\large\textsf {\bf 9}}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf h > 9}}}\huge\checkmark\\\\\boxed{\boxed{\rm \bf It\ it\ an\ O P E N E D\ circle\ shaded}}\\\boxed{\boxed{\rm \bf to\ the\ right\ starting\ at\ point\ 9}}\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Problem:

[tex] \quad \quad \quad \quad\tt{2h - 3 > 15}[/tex]

Let's solve!

[tex] \quad \quad \quad \quad\tt{2h - 3 > 15}[/tex]

Add both sides by 3.

[tex] \quad \quad \quad \quad\tt{2h - 3 + 3 > 15 + 3}[/tex]

[tex]\quad \quad \quad \quad\tt{2h \: \: \cancel{ \color{red}- 3 + 3} \: > 15 + 3}[/tex]

[tex]\quad \quad \quad \quad\tt{2h > 18}[/tex]

Divide it by 2.

[tex]\quad \quad \quad \quad\tt{ \frac{2h}{2} > \frac{18}{2} }[/tex]

[tex]\quad \quad \quad \quad\tt{ \frac{ \cancel{ \color{red}2}h}{ \cancel{ \color{red}2}} > \frac{18}{2} }[/tex]

[tex]\quad \quad \quad \quad\tt{ h > \frac{18}{2} }[/tex]

[tex]\quad \quad \quad \quad\tt{ h > 9}[/tex]

Hence the answer is:

[tex]\quad \quad \quad \quad \boxed{\tt { \color{green}h > 9}}[/tex]

________

#LetsStudy

Someone help me with 20 and 19 ASAP please and thank you!!

Answers

19) No, 3 should multiply both x and 2. As they, (x+2) are both inside the parentheses. The correct answer should be 3x + 6.

20) No, when it comes to exponents and multiply, exponents is done first before multiply. Therefore, Brett should square 3 first before multiplying it by 2. the correct steps should be

2 * 3^2 + 5

= 2* 9 + 5

=18 + 5

=23


Write down the percentage multiplier used to decrease an amount by 45%

Answers

45% as a multiplier is 0.45

(6. solve for x )
225 multiplyed by 1/3 = x

Answers

Answer:

Step-by-step explanation:

225*1/3=x

225/3=x

75=x

helppppppp meeeeeeee please

Answers

Answer:

33

Step-by-step explanation:

(3×3 )+(1/2 ×3×4) ×4 = 33

6. A two-story building measures 21 feet
from the ground. A scale model shows the
building to be 3 inches tall. How many inches
would an 84 foot building be in the model?
1
1
-
height:

Answers

Answer:

11.5 inches

Step-by-step explanation:

Find the area of each regular polygon

Answers

the area of the triangle is 15.15699 or 15.2

the pentagon consists of 10 of the triangles so the area is 151.5699 or 151.6

Which expression is represented by this model

Answers

Answer:

A

Step-by-step explanation:

The distance between 0 and 4/6 is 4/6. This distance is repeted two times

so we have 4/6 + 4/6 or 2 x 4/6

Given: 2x^2 = 5x + 3
Find f(3)

Answers

Answer:

18 = 18

Step-by-step explanation:

f(3) =

2(3)^2 = 5(3) + 3

2 × 9 = 15 + 3

18 = 18

18=18

plug 3 into the x of the equation

An Australian Wallaby walked 5 miles to the coast in 3 and 3/4 hours. What was the wallabys speed in miles per hour?

Answers

Answer:

1 1/3 mph

Step-by-step explanation:

distance = rate x time

5 = 3.75r

5/3.75 = r

r = 1 1/3 mph

All sides of the convex pentagon $ABCDE$ are of equal length, and $\angle A = \angle B = 90^\circ$. What is the degree measure of $\angle E$?

Answers

Answer:

∠E = 150°

Step-by-step explanation:

All sides of the convex pentagon ABCDE are of equal length, and ∠A = ∠B = 90°. What is the degree measure of ∠E?

Solution:

A pentagon is a polygon with five sides and five angles. For a regular polygon, all the sides are equal and each angle is 108°.

Since ∠A and ∠B are right angles, and AE = BC = AB = CE. Therefore ABCE is a square. This means ∠AEC = 90°

Also triangle CDE is equilateral because all sides of the triangle are equal, hence ∠DEC = 60°.

Therefore ∠E = ∠AEC + ∠DEC = 90° + 60°

∠E = 150°

Which of the following set of angles is possible for a triangle

Answers

Answer:

2. Isosceles

4. 25, 65, 90

Step-by-step explanation:

Isosceles triangles have two equivalent sides

All the interior angles of triangles always add up to 180 degrees

A quadratic equation that has x-intercepts of (-2,0) and (8,0), a stretch of 3 and a vertex is a minimum. Find the equation of the parabola

Answers

Answer:

c) The standard form of the quadratic equation, y = a·x² + b·x + c

The standard form of the quadratic equation is y =  3·x² - 18·x - 48.

Step-by-step explanation:

what sum of money amounts to Rs 60000 in 2 years at the rate of 10% per annum find it​

Answers

Answer:

Rs.27000

Step-by-step explanation:

60000 ÷ 2 = 30000 per year

30000 × [tex]\frac{10}{100}[/tex] = Rs. 3000

30000 - 3000 = Rs. 27000

need help!! will give brainliest 2 whoever can give the right answer.

Answers

Answer:

Step-by-step explanation:

i dont know

If CD represents 100%, what is the length of a line segment that is 25%? Explain.

Answers

Answer:

(1/4)CD

Step-by-step explanation:

The length of a segment that represents 25% will be 1/4 as long as the segment representing 100%.

25% is 1/4 of 100%

25% = 1/4 = 0.25

The roof of an airplane hanger is a parabola with the focus located 32 feet from the vertex. If the building is 200 feet wide and the side walls are 25 feet tall, find the maximum height of the hangar.

Answers

Answer:

[tex]h_m=103.125ft[/tex]

Step-by-step explanation:

From the question we are told that:

Focus [tex]F=32ft[/tex]

Width of building [tex]W=200ft[/tex]

Height[tex]h=25[/tex]

Generally the equation for the Parabola is mathematically given by

 [tex]y^2=4ax[/tex]

 [tex]y^2=128x[/tex]

 [tex]y^2=128b^2[/tex]

 [tex]y=\pm8\sqrt{2b}[/tex]

 [tex]b=\frac{25}{2\sqrt{2}}[/tex]

Therefore

 [tex]x=b^2[/tex]

 [tex]b^2=\frac{625}{8}[/tex]

Generally the Generally the equation for momentum is mathematically given by mathematically given by

 [tex]h_m=x+h\\h_m=\frac{625}{8}+25[/tex]

 [tex]h_m=\frac{825}{8}ft[/tex]

 [tex]h_m=103.125ft[/tex]

En una compañía se realiza una encuesta a 200 personas, se encontró la siguiente distribución, en el uso de máquinas eléctricas, mecánicas y computadoras: Eléctricas 110, mecánicas 50, computadoras 60. Mecánicas y computadoras 25, eléctricas y computadoras 35, eléctricas y mecánicas 40. Las tres 20 y 60 nada. A) Encuentre el número de personas que o usan computadora. B) Que usen una maquina eléctrica pero no computadora. C) Que usen solo un equipo. D) Que usen mecánica y eléctrica pero no computadora. E) Cuantos no tienen ni maquina eléctrica ni mecánica.

Answers

Answer:

A) 140

B) 75

C) 80

D) 20

E) 80

Step-by-step explanation:

Para resolver este problema debemos construir un diabrama de Venn y llenarlo según los datos que se nos brindan.

Comenzamos nombrando cada círculo:

E= personas que usan máquinas eléctricas

M= personas que usan máquinas mecánicas

C = personas que usan computadoras.

- Luego llenamos el área central con un 20, el cual representa las personas que usan los 3 tipos de maquinas.

- En la parte exterior del diagrama de Venn colocamos un 60 por las personas que no usan ninguna de las máquinas.

- En la intersección entre M y C restamos:

25-20=5

Entonces colocamos este 5 en esa región.

- En la intersección entre E y C restamos:

35-20=15

Entonces colocamos este 15 en esa región.

- En la intersección entre E y M restamos:

40-20=20

Entonces colocamos este 20 en esa región.

- En la región de E restamos:

110-20-20-15=55

Entonces colocamos este 55 en esa región.

- En la región de M restamos:

50-20-20-5=5

Entonces colocamos este 5 en esa región.

- En la región de C restamos:

60-15-20-5=20

Entonces colocamos este 20 en esa región.

Y obtenemos el diagrama de Venn que representa esta encuesta (Ver figura adjunta)

Y ahora ya lo podemos usar para responder a las preguntas:

A) Número de personas que no usan computadora. Sumamos los números fuera del círculo C:

55+20+5+60=140

B) Número de personas que usan una máquina eléctrica pero no computadora: Sumamos los números dentro del círculo E con excepción de los números compartidos por el círculo C y obtenemos:

55+20=75

C) Número de personas que usan solo un equipo: Sumamos los números no compartidos en los círculos E, M y C

55+20+5=80

D) Número de personas que usan máquina mecánica y eléctrica pero no computadora: Usamos el número compartido entre E y M que no son compartidos con C

20

E) Sumamos el número que se encuentra solo en C y los que están afuera del diagrama:

20´60=80

13. Jack has to make at least $140 per week mowing lawns. He makes $20 per lawn. At least
how many lawns does he need to mow?

Answers

Answer:

7

Step-by-step explanation:

you divide 140 by 20 & it gives you 7 i hope this helps ..

A cylindrical can is 16 cm in diameter and 25 cm in
height. You want to enlarge the diameter of the can to
20 cm. What must the height be if the new can still has
the same volume?

Answers

Answer:

Step-by-step explanation:

Taylor has eight more than four times as many stickers as her sister. Which expression represents the number of stickers that Taylor has if the variable s represents the number of stickers that her sister has?
A 8s+4
B 4s+8
C 4+s+8
D 12s​

Answers

Answer:

It would be B

Step-by-step explanation:

help me please this due in 20 mins dont add a link you'll get reported

Answers

Answer:3

Step-by-step explanation:

3-6*12

87the answer is 4

Elena is feeding her neighbor's dogs. Each dog gets two thirds, cup of dog food, and she uses three and one-third cups of food. How many dogs does her neighbor have?
Five, five and an eighth cups of water fill four, one-half identical water bottles. How many cups fill each bottle ?

Answers

Answer:

Remember that:

[tex]\frac{a/b}{c/d} = \frac{a}{b}*\frac{d}{c}[/tex]

A) We know that:

Each dog gets (2/3) of a cup of food.

Elena used 3 + 1/3 cups of dog food, then, how many dogs there are?

The number of dogs is equal to the quotient between the total amount of food used and the food that a single dog needs, this is:

[tex]N = \frac{3 + 1/3}{2/3}[/tex]

We can rewrite the numerator as:

3 + 1/3 = 3*(3/3) + 1/3 = 9/3 + 1/3 = 10/3

Replacing that in the above equation, we get:

[tex]N = \frac{10/3}{2/3} = \frac{10}{3} *\frac{3}{2} = 10/2 = 5[/tex]

There are 5 dogs.

B)

We know that:

5 + 1/8 cups of water, can fill four bottles.

Then, how many cups we need for each bottle?

Assuming that each bottle holds the same amount of water, then each bottle will hold a fourth of (5 + 1/8) cups of water.

This is the quotient between (5 + 1/8) cups of water and 4.

[tex]K = \frac{5 + 1/8}{4}[/tex]

We can rewrite the numerator as:

5 + 1/8 = 5*(8/8) + 1/8 = 40/8 + 1/8 = 41/8

Replacing that we get:

[tex]K = \frac{41/8}{4} = \frac{41}{8} *\frac{1}{4} = 41/32[/tex]

We can rewrite this as a mixed number in the next way:

[tex]K = \frac{41}{32} = \frac{32 + 9}{32} = \frac{32}{32} + \frac{9}{32} = 1+ 9/32[/tex]

So with 1 and 9/32 cups of water we can fill one of the bottles.

What is the surface area of the cylinder with a height of 3 m and radius of 4 m? Round your answer to the nearest thousandth.

Answers

Answer:

The surface area of the cylinder is of 131.947 square meters.

Step-by-step explanation:

Surface area of a cylinder:

The surface area of a cylinder of height h and radius r is given by the following equation:

[tex]S_a = 2\pi r(h+r)[/tex]

What is the surface area of the cylinder with a height of 3 m and radius of 4 m?

[tex]h = 3, r = 4[/tex].

So

[tex]S_a = 2\pi r(h+r) = 2\pi(3)(3+4) = 42\pi = 131.947[/tex]

Height and radius are in meters, so the surface area will be in square meters.

The surface area of the cylinder is of 131.947 square meters.

need a answer for this please

Answers

Maybe 7.81
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