Mathematics High School

Using the graph above identify the constant of proportionality between the number of shirts and how much they cost? Hint: simplify your answer
A. K=80
B. K=20
C. K=10
D. k=8

Using The Graph Above Identify The Constant Of Proportionality Between The Number Of Shirts And How Much

Answers

Answer 1

Answer:

We conclude that the constant of proportionality between the number of shirts and how much they cost is:

k = 8

Hence, option 'D' is correct.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get

y ∝ x

y = kx

k = y/x

where k is called the constant of proportionality

Given the points

(10, 80)(20, 160)(50, 400)

For (10, 80)

substituting y = 80 and x = 10 in the equation

k = y/x

k = 80/10 = 8

For (20, 160)

k = y/x

k = 160/20 = 8

For (50, 400)

k = y/x

k = 400/50 = 8

It is clear that the value of k is the same for all the points.

Thus, the value of k = 8

Therefore, we conclude that the constant of proportionality between the number of shirts and how much they cost is:

k = 8

Hence, option 'D' is correct.

Related Questions

Which of these is the standard form of the following function?

f(x) = -9(x + 5)2 + 4


f(x) = 9x2 − 90x − 221

f(x) = -9x2 − 90x − 221

f(x) = 9x2 − 180x + 221

f(x) = -9x2 − 180x − 221

Answers

Answer:

We conclude that the  standard form of the given function is:

[tex]f(x)=-9x^2-90x-221[/tex]

Hence, option B is correct.

Step-by-step explanation:

We know that the standard form of the quadratic function is of the form

[tex]f\left(x\right)\:=\:ax^2\:+\:bx\:+\:c[/tex]

Given the function

[tex]f(x)=-9\left(x\:+\:5\right)^2\:+\:4[/tex]

as (x+5)² = x² + 10x + 25

[tex]f(x)=-9\left(x^2+10x+25\right)+4[/tex]

Expanding  -9(x² + 10x + 25) = -9x² - 90x - 225

[tex]f\left(x\right)\:=-9x^2-90x-225+4[/tex]

simplifying

[tex]f(x)=-9x^2-90x-221[/tex]

Therefore, we conclude that the  standard form of the given function is:

[tex]f(x)=-9x^2-90x-221[/tex]

Hence, option B is correct.

Answer:

Hope this helps!

Step-by-step explanation:

The 8th grade class is fundraising for their spring trip. They need to raise a minimum of $2,000. The class is selling mugs at $6 a piece as a fundraising item. They must pay $40 in shipping for the mugs.a) Write an inequality that models this situation

Answers

Answer:

If you multiply the 7 by 15 using the AZB formula you will get the asnwer^5 to divide the answer by .05

Step-by-step explanation:

A car travels for 4 hours at an average speed of 45mph and then 6hours at an average speed of 35mph. Work out the distance travelled.

Answers

Answer:

390 miles

Step-by-step explanation:

(45 x 4) + (35 x 6) = 390 miles

I need helpp guys i hope i get correct answers because i do NOT get this lol

Answers

A) x times 3 + 4
B) x times 3 + 4 = 22
22 - 4 = 18
18/3 = 6

Answer:

(The multiply and the x are the same, so I’m just letting you know that the first x is the letter x and the second is the multiply sign.)

x x 3 + 4 (equation)

x = 6 (solution)

Step-by-step explanation:

6 x 3 + 4

22 - 4 = 18 (which takes out the four, which means what number times 3 would get 18)

6 x 3 = 18

6 x 3 + 4 = 22

How do you write 343% as a decimal?

Answers

Answer:

Im guessing its 3.43

Step-by-step explanation:

Hope this helps :)

3.34 I think...........

Help I need this asap, Sally can read 9 pages in 3 hours. George can read 20 pages in 5 hours. Who read the most pages per hour and by how much

Answers

Sally reads 3 an hour and George reads 4 an hour

GUYS HELP IM STUCK!!!!!!!

Answers

Answer:

A Responding variable.

Step-by-step explanation:

Think about it, if you had a car and there were two different ramps, one short and one was high, would the car's speed be different from the other ramp? Yes it would, and since its changing its a responding variable, because that changes as well.

P.S I would appreciate Brainliest or whatever thats called!

Answer:

It's the middle one

Step-by-step explanation:

Write the equation of the line that passes through the points (9, -8) and (-3,8). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answers

I’m just saying dis for points sorry but I hope u get it1223

32% of 25 is what number

Answers

Answer:

8

Step-by-step explanation:

it just is

Answer:

8

Step-by-step explanation:

Convert to a decimal

32%

move two decimal points to the left

0.32

multiply

0.32 times 25 = 8

Please help solve :D

Answers

y + 64 should equal 180 degrees because they are supplementary angles.

So y = 180-64 = 116 degrees

If f(x)= -2x+3 , find f(-1)?

Answers

Before we solve the equation let's take a look at it.

f(x) = -2x + 3

See how x appears in both f(x) and as the variable in the second half of the equation?

f(x) means "The function of x." You might also see g(x), h(x), and while those are the most common it can really be any letter, and any variable inside the parentheses.

So when we see f(-1), that means "The function of -1" or "The function of x when it is equal to -1."

Catching on? We need to replace x with -1 to solve for f(-1).

So here we go:

f(x) = -2x + 3

f(-1) = -2(-1) + 3

f(-1) = 2 + 3

f(-1) = 5

Voilà! We have solved for f(-1). Hope this helped.

Find the area of a rectangle that has a height of 8x^2y and a base of 6y^4

Answers

Answer:

[tex] 48 {x}^{2} {y}^{5} [/tex]

Step-by-step explanation:

Given:

[tex] l = 8x^2 y\: \&\: b = 6y^4 [/tex]

Area of rectangle

[tex] = l \times b \\ \\ = 8 {x}^{2} y \times 6 {y}^{4} \\ \\ = 8 \times 6 \times {x}^{2} y \times {y}^{4} \\ \\ = 48 {x}^{2} {y}^{5} [/tex]

i need help on the math question look at pic​

Answers

Answer:

9 is answer . . . . . . . ........

the perimeter of a rectangle is 61 centimeters. The length is 4.1 centimeters longer then the width, w . Write and solve an equation to find the width of the rectangle

Answers

The width of the rectangle is 8.2

Add A + B

A: 3x² + 2x - 6

B: x² - 4x + 10

Answers

Answer:

3x² + 2x - 6+(x² - 4x + 10)

3x² + 2x - 6+x²-4x+10

3x²+x²+2x-4x-6+10

4x²-2x+4

Is x^4x^5=x^9 power of a power

Answers

I think that this is a power of a power

Find the Circumference of the circle.
30 points for whoever answers this

Answers

Answer:

87.92

Step-by-step explanation:

(2)(3.14)=6.28

(6.28)(14)=87.92

2(pi)(r)

pls help will give brainliest to right answer

Answers

Answer:

41.13

Step-by-step explanation:

The figure is basically 8+8+circumference of a circle with 8 diameter. The circumference is 2pi(4) which is 50.27, and you add 16 to that. This gives you the answer 41.13

Thanks to garden555 for pointing out my mistake.

Answer:

60m / 41.12 m

Step-by-step explanation:

side of square is 8m

hence, radius of the semicircle is 1/2 of 8

= 4m.

2semicircles = 1 circle.

perimeter of a circle = 2πr

Taking value of π as 22/7,

= 2 x 22/7 x 4

= 176/4

= 44m

OR

Taking value of π as 3.14,

= 2 x 3.14 x 4

= 25.12m

hence, perimeter of figure is,

44 + 8 + 8 = 60m

OR

25.12 + 8 + 8 = 41.12 m

convert 2 3/4 into a improper faction ​

Answers

Answer:

11/4

Step-by-step explanation:

2 times 4 equals 8 and plus 3 equals 11 and dem is 4 so 11/4

Answer:

[tex]\frac{11}{4}[/tex]

Step-by-step explanation:

[tex]2\frac{3}{4}[/tex]

To get an improper fraction do the multiply and add shortcut.  Do the denominator times the whole number ( 2 x 4).  You will get 8, next add 8 with 3.  You still keep the denominator, so your final result is [tex]\frac{11}{4}[/tex]

The diameter of a circle is 9 cm. Find its area to the nearest tenth.

Answers

63.6 cm

Cut diameter in half to find radius

9/2 = 4.5

radius = 4.5

This is the formula for area of a circle:

pi * radius^2

pi * 4.5^2

20.25pi

Now find pi:

20.25 * pi = 63.6

Answer:

63.6 cm is the area

Answer:

63.6

Step-by-step explanation:

1. A = πr²

2. Find the radius (r). Since the radius of a circle is the diameter/2, the radius is 9/2, which is 4.5

3. Now that we know the radius, we plug it into our formula: A = π(4.5)²

4. Simplify: A = 3.14(20.25)

5. A = 63.62

6. Rounding to the nearest tenth makes your answer 63.6

Explain how to write the equation from the graph

Answers

Answer:

im guessing because its a slope were trying to find the slope intercept so y1~mx1+b on desomos or y=mx+b in actual equation form

Step-by-step explanation:

Write the place value of the 3 in the following number: 5,684.937

Answers

Answer:

Tens

Step-by-step explanation:

Prove (n + 6)² – (n + 2)² is always a multiple of 8​

Answers

Step-by-step explanation:

(n+6)^2-(n+2)^2=(n+6-n-2)*(n+6+n+2)=4*2*(n+4)=8*(n+4) so it is always a multiple of 8

The cost to manufacture a hair clip is $0.50. With a markup of 200%, what is the selling price of this hair clip?

Answers

Answer:

Step-by-step explanation:

The cost to manufacture a hair clip is $0.50. With a markup of 200%, what is the selling price of this hair clip?

Given data

cost to manufacture a hair clip is $0.50

markup of 200%

Required

The selling price

We know that

Mark up percent= selling-cost/cost*100

200= selling-0.5/0.5*100

200-selling= 50/0.5

200-selling= 100

selling= 200-100

selling = 100

Hence the selling price is $100

April, May and June have
90
sweets between them. May has three-quarters of the number of sweets that June has.

April has two-thirds of the number of sweets that May has. How many sweets does June have?

Answers

Answer:

40 sweets

Step-by-step explanation:

Let june have x sweets

may has 3x/4 sweets

April has x/2 sweets

total sweets is 90

Adding all sweets =

x/2+3x/4+x = 90

9x = 360

x = 40

Therefore June has 40 Sweets

I agree with the other comment

Juanita is riding her bicycle on a trail at the rate of 0.3 kilometers per
minute. Michelle is 11.2 kilometers behind Juanita when she starts traveling
on the same trail at a rate of 0.44 kilometers per minute. Let d represent
the distance in kilometers the bicyclists are from the start of the trail and t
represent the time in minutes. The situation can be represented by the
following system; d=0.3t+11.2 and d=0.44t. How many minutes will it take
Michelle to catch up to Juanita? How far will they be from the start of the
trail? Use the substitution method to determine your answer.

Answers

Answer:

It will take Michelle 80 minutes.

They're 35.20 kilometers away from their starting point.

Step-by-step explanation:

We have to find how many minutes it would take Michelle to catch up to Juanita.

We know that Michelle's movement is represented as: d = 0.44t

Juanita's movement is represented as: d = 0.3t + 11.2

To find how many minutes it would take for Michelle to catch up, we will have to solve both equations together and solve for "t", or time.

Solve:

0.44t = 0.3t + 11.2

Subtract 0.3t from both sides.

0.14t = 11.2

Divide both sides by 0.14

t = 11.2/0.14

t = 80

This means that it would take 80 minutes for Michelle to catch up.

To find how far they are, multiply 0.44 by 80.

0.44 · 80 = 35.20

This means that they're 35.20 kilometers away from their starting point.

*EXTRA POINTS*
Answer the boxes :)
First Dropbox option is “A geometric or an arithmetic” second box options is “common difference or common ratio” third box you type in.

Answers

Answer:

geometric sequence

ratio

2

Diego had $21.32 and gave $9.50 to Elena. How much did he have left?

Answers

Answer:

11.82

Step-by-step explanation: I know this because 21.32-9.50= 11.82

Please help will mark brainlist!!

Answers

Answer:

210 cubic mm

Step-by-step explanation:

Volume. Of rectangular prism = 7*5*6 = 210 cubic mm

12 34/50 / 11 30/25


no im not giving the first correct person brainliest
only idiots do that

Answers

Answer: 317/305 or 1 12/305

Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.

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