The Paks bought 4 lunches for $16. The McGills bought 6 lunches for $24. The Manns bought 15 lunches for $60. The relationship of lunches to cost is a proportional relationship. What is the constant of proportionality? A. B. C. 4 D. 64

Answers

Answer 1

Answer:

$4

Step-by-step explanation:

The equation for direct proportionality =

y = bx

where y = dependent variable

b = constant

x = independent variable

There is positive proportionality is two variables are positively related to each other.

In this question, price of lunches is the dependent variable while number of lunches is the independent variable

$16 = b4

Divide both sides by 4 to find b

b = $4


Related Questions

Jamie writes -2°C > -5°C to compare the temperature on two January days. Explain why you agree or disagree with him

Answers

Answer:

I agree with Jamie

Step-by-step explanation:

Given the inequality expression -2°C > -5°C, to compare both temperatures, we are to determine whether we agree or disagree with him.

Note that negative values that are closer to zero on the number line are greater than those that are far from zero. Hence, since -2 is closer to zero on the number line than -5, this means that -2 is greater than -5 hence I agree with Jamie's temperature value comparison.

If you help me u are the best ;)​

Answers

Answer:

Area = (8 + 2x)² mi²

Step-by-step explanation:

Length of the side of a park = 8 mi

Width of the road around the park = x mi

Length of one side of the park with the road = (8 + 2x) mi

Area of the park with road = (side)²

                                            = (8 + 2x)²

Therefore, combined area of the park and road is (8 + 2x)² square miles.

what is the ratio of
18 rosses to 5 chocolates​

Answers

Answer:

18:5

Step-by-step explanation:

There, hope it helps!

Answer:

18:5

Step-by-step explanation:

come on man

Given g(x) = -x – 4, solve for x when g (x)= -4

Answers

This answer for this is 0 because they will cancel each other out

Subtract. Write your answer in simplest form.

Answers

Answer:

2 5/6

Step-by-step explanation:

Find a common denominator. In this case, it's 12

5 9/12 - 2 11/12

borrow, kind of, but for fractions

4 21/12 - 2 11/12

subtract like normal

2 10/12

simplify

2 5/6

2 5/6 in simplest form

Joanne deposited $10,000 into an account that earns 5.5% compound interest, compounded annually. How much interest will Joanne earn after 10 years

Answers

Answer:

55.0%

Step-by-step explanation:

I used a calculator

Traveon is walking dogs for his neighbors, to make money. This week, he walked Mr. Jackson's dog 3.5 times farther than he walk Ms. Evans' dog. If the total distance that he walked both dogs is 17.5 miles, how far did he walk Ms. Evans' dog? *

Answers

Answer:

He walked Ms. Evans' dog 3.89 miles.

Step-by-step explanation:

From the information provided, you know that the total distance that he walked both dogs is 17.5 miles, which can be expressed as:

x+y=17.5, where:

x is the distance he walked  Mr. Jackson's dog

y is the distance he walked  Ms. Evans' dog

Also, the statement indicates that he walked Mr. Jackson's dog 3.5 times farther than he walk Ms. Evans' dog and you can write the following equation:

x=3.5y

Now, you can replace x=3.5y in the first formula and solve for y to find how far he walked Ms. Evans' dog:

3.5y+y=17.5

4.5y=17.5

y=17.5/4.5

y=3.89

According to this, the answer is that he walked Ms. Evans' dog 3.89 miles.

Brianna has six bags of soil filling one flower pot requires 1/3 of a bag of soil how many flower pots can be filled with the six bags

Answers

Answer:

well, 1/3 of a bag per pot means 3 pots per bag, so 6 bags times 3 pots per bag.

3 x 6= 18 pots

An interpretation of data is?

Answers

Answer:

Data interpretation refers to the implementation of processes through which data is reviewed for the purpose of arriving at an informed conclusion. The interpretation of data assigns a meaning to the information analyzed and determines its signification and implications.

Step-by-step explanation:

Answer:

The interpretation of data assigns a meaning to the information analyzed and determines its signification and implications.

Step-by-step explanation:

Hope that helps :)

How are the solutions to the inequality -3x≥ 18 different from the solutions to
-3x>18

Answers

Answer:

si, por qué ecuación da diferente resultado

SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLY IF YOU GET IT RIGHT ALSO PLEASE EXPLAIN HOW YOU GOT THE ANSWER!!!

Answers

answer

B - 1/4

explanation

246 rounds up to 250. 1000/250=4, meaning 1/4 of the people surveyed liked green.

because 1/4 of the people surveyed so far liked green, it’s most likely that the next person will like green.

Consider this expression. x-4/2(x+4)

Answers

Answer:

Option A

Step-by-step explanation:

We will simplify the expressions given in the options first,

x² - 16 = (x - 4)(x + 4)

2x + 8 = 2(x + 4)

x² + 8x + 16 = (x + 4)²

Option A

[tex]\frac{x^2-16}{2x+8}[/tex] × [tex]\frac{x+4}{x^2+8x+16}[/tex]

= [tex]\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x+4)}{(x+4)^2}[/tex]

= [tex]\frac{x-4}{2(x+4)}[/tex]

Option B

[tex]\frac{2x+8}{x^2-16}[/tex] ÷ [tex]\frac{x^2+8x+16}{x+4}[/tex]

= [tex]\frac{2(x+4)}{(x+4)(x-4)}[/tex] ÷ [tex]\frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{2}{(x-4)}\times \frac{1}{(x+4)}[/tex]

= [tex]\frac{2}{x^2-16}[/tex]

Option C

[tex]\frac{x^2-16}{2x+8}[/tex] ÷ [tex]\frac{x+4}{x^{2}+4x+16}[/tex]

= [tex]\frac{(x-4)(x+4)}{2(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{(x-4)(x+4)}{2}[/tex]

Option D

[tex]\frac{2x+8}{x^2-16}\times \frac{x^2+8x+16}{x+4}[/tex]

= [tex]\frac{2(x+4)}{(x-4)(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{2(x+4)}{(x-4)}[/tex]

Therefore, Option A is the answer.

Two students, Jennifer and Jamal, factored the trinomial 4x2 − 6x − 4. Jennifer factored it as 2(x − 2)(2x + 1) and Jamal factored it as (x − 2)(4x + 2). Indicate which student factored the trinomial completely and which student did not, and explain why

Answers

Jennifer factored it completely because she pulled out the common factor  of the three terms, which 2.

This simplifies the trinomial to 2(2x^2-3x-2) and then this factors to be 2(x − 2)(2x + 1)

question : Find 23% of 700kg

Answers

Answer:

[tex]700kg \times \frac{23}{100} \\ = 161[/tex]

Answer:

161 kilograms

Step-by-step explanation:

change 'of' into a multiplication sign

23% × 700kg

change 23% into a decimal

0.23 × 700kg= 161


Your employer tells you that the salary for your new job will be less than $484 per week but not less than $396 per week. Which inequality describes your salary, S?

Answers

I think the inequality is less than or equal to (here what the sign looks like ≤ )

P(x) =0.02x³+0.04x²+0.3x+1.2.Evaluate P(18) by direct substitution and by applying the remainder theorm

Answers

Answer:

136.2

Step-by-step explanation:

Plugin x = 18 in the polynomial.

P(x) = 0.02x³ + 0.04x² + 0.3x + 1.2

P(18)= 0.02*(18)³ + 0.04*(18)² + 0.3*18 + 1.2

      = 0.02 * 5832  + 0.04*324 + 5.4 + 1.2

      = 116.64 + 12.96 + 5.4 + 1.2

      = 136.2

Alyssa fills her sports bottle with 1.3 liters of water. She drinks 500 milliliters of the water. How much is left in Alyssa's sports bottle?

Answers

Answer:

5999

Step-by-step explanation:

It would be 800 milliliters which is also 0.8 liters

What is 591x37+125-16
Instant brainliest to HXH fans, proof if you name the 6 most important characters and the full name of the show

Answers

Answer:

Leorio, Gon, Killua, Kurapika, Hisoka, and Ging

Step-by-step explanation

Answer:

It's 21976 Gon! >:3

well- in my opinion i think its u, lol me killua, Leorio //side note: ofc the doctor//coOk kURAPIKA, HISOKA- //bUNGee gUM// i dont gaf about my brother illumi so the lost father //gINg// is it >:3

Step-by-step explanation:

:3

12. In a certain cafe, all the sandwiches and drinks are priced the
same. A customer ordered three sandwiches and two drinks for
$14.70. Another customer bought two sandwiches and four drinks
for $13.80. Find the cost of one sandwich and the cost of one drink.

Answers

The cost of one sandwich is $3.90

The cost of one deknk is $1.50

hopefully this is correct

The system of equations are

The cost of one sandwich x = $ 3.90

The cost of one drink y = $ 1.50

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of one sandwich be x

Let the cost of one drink be y

Now , the equation will be

A customer ordered three sandwiches and two drinks for $14.70

So , 3x + 2y = 14.70   be equation (1)

And , Another customer bought two sandwiches and four drinks for $13.80

So , 2x + 4y = 13.80   be equation (2)

On simplifying the equations , we get

Multiply equation (1) by 2 , we get

6x + 8y = 29.4   be equation (3)

Subtracting equation (2) from equation (3) , we get

4x = 15.6

Divide by 4 on both sides of the equation , we get

x = $ 3.90

So , the cost of one sandwich is $ 3.90

And ,

Substituting the value of x in equation (1) , we get

3x + 2y = 14.70

3 ( 3.90 ) + 2y = 14.70

11.70 + 2y = 14.70

Subtracting 11.70 on both sides of the equation , we get

2y = 3

Divide by 2 on both sides of the equation , we get

y = $ 1.50

So , the cost of one drink is $ 1.50

Hence , the cost of one sandwich and one drink is $ 3.90 and $ 1.50 respectively

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

Find the distance between the points (-2, -4) and (-6, -8). Round your answer to to the nearest tenth.

Answers

Answer:

d=5.7

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex]

[tex]d=\sqrt{-6(-2)^{2}+(-8-(-4)^{2} }[/tex]

[tex]d=\sqrt{(-6+2){^{2}+(-8+4)^{2} } }[/tex]

d=[tex]\sqrt{(-4)^{2}+(-4)^{2} }[/tex]

d=[tex]\sqrt{16+16}[/tex]

d=[tex]\sqrt{32}[/tex]

d=5.656 =5.7

A tool box has the dimensions of 10 in by 6 in by 3 in. If Gilberto plans to double one dimension to build a larger tool box, he believes he would double the volume of the tool box. Is he correct? First, find the volume of the original tool box. The original tool box is
in3 . PLZZZZZZZZZZZZ HELP MEH ill mark you and 99 points

Answers

Answer:

Yes, he would double it

The original tool box volume is 180 in³

Doubled, it would be 360 in³

Step-by-step explanation:

Volume of box: L*W*H

10*6*3

60*3

180 in³

What is 0.68 multiplied by 675?!!!?

Answers

Answer:

459

Step-by-step explanation:

Hope this helped!

Write an equation in slope intercept form for the line that passes through the given point and is parallel to the graph of the given equations.
(3,2),y=3x+4
(-1,-2),y=-3x+5
(-1,1),y=x-4
(1,-3),y=-4x-1
(-4,2),y=x+3
(-4,3),y=1/2x-6

Answers

Answer:

1.y=3x-7

2.y=-3x-5

3.y=x+2

4.y=-4x+1

5.y=x+6

6.y=1/2x+5

Step-by-step explanation:

parallel lines have the same slope

1.y-2=3(x-3)

y-2=3x-9

y=3x-9+2

y=3x-7

2.y-(-2)=-3(x-(-1))

y+2=-3x-3

y=-3x-3-2

y=-3x-5

3.y-1=1(x-(-1)

 y-1=1(x+1)

 y-1=1x+1

y=1x+1+1

y=1x+2

4,y-(-3)=-4(x-1)

y+3=-4x+4

y=-4x+4-3

y=-4x+1

5.y-2=1(x-(-4)

 y-2=1(x+4)

y-2=1x+4

y=1x+4+2

y=1x+6

6.y-3=1/2(x-(-4)

 y-3=1/2(x+4)

 y-3=1/2x+4/2  simplify 4/2 to 2/1 =2

 y=1/2x+2+3

 y=1/2x+5

 

Area of composite shapes!!
Find the area
Its geometry
Due Tomorrow
Plz HURRY
Offering brainliest

Answers

Answer:

8/2=4

4*6=24

10*8=80

80+24=104

104

I need help on this. I will give you the brainliest

Answers

Answer:

4x-3y= 36-12=24 make me the brainlest

-(4-x)=3/4(x-6)
solve for x
show work please!!!
(not test, this is hw)

Answers

-4+x=3/4x-4.5

x=3/4x-.5

.25x=.5

x=2

Sin θ = ____ csc θ = ____ cos θ = ____ sec θ = ____ tan θ = ____ cot θ = ____ Equation of the Circle: _ the unit circle (r = 1), find the value of the six trig ratios:

Answers

Answer:

a. Sin θ = y/r

b. csc θ = r/y

c. cos θ = x/r

d. sec θ = r/x

e. tan θ = y/x

f. cot θ = x/y

g. x² + y² = 1

Step-by-step explanation:

Where (x, y) are the x and y coordinates of the position with radius r and angle θ measured from the positive x axis. y is the opposite side to the angle θ and x is the adjacent side to the angle θ and r is the hypotenuse side of the right-angled triangle formed by x, y and r. Also, x² + y² = r²

a. Sin θ = opposite/hypotenuse = y/r

b. csc θ = hyotenuse/opposite = 1/Sin θ = r/y

c. cos θ = adjacent/hypotenuse = x/r

d. sec θ = hypotenuse/adjacent = 1/cos θ = r/x

e. tan θ = opposite/adjacent = y/x

f. cot θ = adjacent/opposite = 1/tan θ = x/y

g. Equation of the Circle: _ the unit circle (r = 1),

Since x² + y² = r² ,for a unit circle, r = 1. So,

x² + y² = 1²

x² + y² = 1

1. Aftab tells his daughter, “Seven years ago, I was seven times as old as you were. Also, three years from now, I shall be three times as old as you will be.” Represent this situation algebraically.​

Answers

Answer:

x - 7 = 7(y - 7)

x + 3 = 3(x + 3)

Step-by-step explanation:

Aftab's age = x

daughter's age = y

According to question,

x - 7 = 7(y - 7)

and,

x + 3 = 3(x + 3)

a salesperson at a jewelry store earns 6% commission each week. last week, jarrod sold $700 worth of jewelry. how much did he make in commission? how much did the jewelry store make from his sales?

Answers

Answer:

Commission 42.00

Store made $658.00

Step-by-step explanation:

The oil pump can move 84.25 gallons of oil every minute. How much will the oil move in an hour?

Answers

Answer:

5,055 gallons per hour

Step-by-step explanation:

You must multiply 84.25 by 60 because an hour is 60 minutes therefore your answer is 5,055 gallons per hour. Hope that helps!

Answer:

5,055

Step-by-step explanation:

there is 60 minutes in a hour soo...

84.25 x 60 = 5,055

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