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

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

Which of the following is the product (5y − 3)2?

Answers

Answer:

= 10y − 6 is your answer

Step-by-step explanation:

option B is correct, 25y²-30y+9 is the product of (5y − 3)².

What is Expression?

The combination of numbers, variables, and operators is known as Expression.

The given expression is (5y − 3)²

The process of determining the product of two or more numbers is Multiplication.

The expression is five times of y minus three to the power of two.

From algebraic identity we have (a-b)²=a²+b²-2ab

Now (5y − 3)²

(5y)²+3²-2(5y)(3)

25y²+9-30y

Twenty five y to the power of two plus nine minus thirty times of y.

25y²-30y+9 is the expression after product of  (5y − 3)².

Hence, option B is correct, 25y²-30y+9 is the product of (5y − 3)².

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Which of the following is the product (5y − 3)2?

A. 10y − 6

B. 25y2 − 30y + 9

C. 25y2 − 9

D. 25y2 + 30y − 9

Please help me
50 points

Answers

Answer:

f(x)=3(-1)+10 Answer: 7

f(x)=3(0)+10 Answer: 10

f(x)=3(1)+10 Answer: 13

f(x)=3(4)+10 Answer 22

Find the missing side length

Answers

B.4 because if you divide 30 by 6 you get 5 so if you do 20/5 you get 4

if Maya drove 30 laps in six minutes how many laps did she drive in one minute

Answers

Answer:

5 laps in one minute.

Step-by-step explanation:

1. Divide 30, the number of laps, by 6, the number of minutes. So, for every 1 minute Maya drives on lap.

A new watch costs $120 at the store. If it goes on sale for 75% off and has a sales tax of 6%, what is the final cost of the watch?

Answers

The final cost is $ 100

i need to drag one into the box to match them

Answers

Answer:

54÷9 = 6 so for the second box is 6 hot dogs per person

54÷27= 2 third box is 2 hot dogs per person

54÷54= 1 fourth box is 1 hot dog per person

Find the Measure of the missing angles.

49°

118

73

Measure angle 1 =

Measure angle 2-

Measure angle 3=.

Answers

Answer:

Find the Measure of the missing angles.

49°

118

73

Measure angle 1 =

Measure angle 2-

Measure angle 3=.

Step-by-step explanation:

If Bob can run 3 miles in 27 minutes, how many miles
can Bob run in n minutes?

Answers

Answer:

e

Step-by-step explanation:

Classify this triangle by its sides?

Answers

Answer:

Scalene

Step-by-step explanation:

First option, scalene

Evaluate the expression when b=-6 and y=4.
b-6y

Answers

-6 - 6(4)
-6 -24 = -30
So -30 is ur answer :)) hope I helped
-6-6(4)
Multiply -6(4)= -24
-6-24
Add the negatives -30
Answer: -30

Help me out please and thank you ;)

Answers

Answer : d
Explanation:
Shoe size and letters in your name have nothing to do with each other
Done it before, the answer is D

what is 65% of 80 ??????????????

Answers

Answer:

Step-by-step explanation:

65% of 80 is

65*80/100=52

Answer:

52

Step-by-step explanation:

Calculate percentage:

'Percentage' is obtained by multiplying 80 by 65%.

65% × 80 =

(65 ÷ 100) × 80 =

(65 × 80) ÷ 100 =

5,200 ÷ 100 =

52

Checking:

How do we check the result?

If 65% × 80 = 52 =>

Divide 52 by 80...

... And see if we get as a result: 65%.

Calculate the percent value:

52 ÷ 80 =

0.65 =

0.65 × 100/100 =

(0.65 × 100)/100 =

65/100 =

65%

Please help, I will be giving brainlist.

Answers

Answer:

b

Step-by-step explanation:

Answer:

o B 6 inches.

Step-by-step explanation:

Proportions:

13 in ⇔  9.75 in

8 in  ⇔   X  in

X = 8*9.75/13

X = 6 in

Solve 6 - 5x = 7 + 3x

Answers

Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation:

Find the y-intercept of the line shown below.

PLS SOMEONE ANSWER THIS!!

Answers

Answer:

The intercept is 2 or (0,2) because that is where it intercepts on the Y axis

Answer:

(0,2)

Step-by-step explanation:

The y-intercept is just where the line passes through the y-axis or when x= 0.

10. Write the equation of a line in slope-intercept form that passes
through the points (-2, 3) and (0,8).
y = mx + b
Equation:

Answers

Answer:

Step-by-step explanation:

5/2

The equation in slope intercept form is
y=5/2x + 8

Hope this helps! :)

help please !! easy question i believe :))

Answers

Solve for x given two sides

Solution

x is an angle hence we are gonna use the formula Sin

Sin 0 = opp/hyp

0 represents theta.


Sin 0 = opp/hyp
Sin 0 = 27/33

Put 27/33 in decimal form

= 0.8181

Transpose to make 0 the subject


Sin 0 = 0.8181

0 = Sin-1 0.8181

When adding Sin from one side to another it becomes Sin inverse.

0 = Sin-1 08181

Now we find the answer

0 = Sin-1 0.8181

= 54.89 degrees

Therefore x is equal to 54.9 to the nearest tenth.

1 and 2 is all I need and you guys would help me from not getting beat

Answers

Answer:

1. -10

2. -11

Step-by-step explanation:

GIVING BRAINLIEST Cattails thrive in places where there is plenty of water year-round. Which event might limit a cattail population? A.Drought B.Rainy spring C.Thunderstorm D.Eclipse

Answers

Answer:

A. Drought, this is when the land is dry and no water is around essentially.

Answer:

The answer is drought. I took the test.

Can you help me out with this math problem? Please Simplify: (4 – 5) – (13 – 18 + 2). Show your work on how you got it.
(a) -1,

(b) –2,

(c) 1,

(d) 2.

Answers

Answer:

2

Step-by-step explanation:

(4-5)-(13-18+2)

=-1-(13-18+2)

=-1-(-5+2)

=-1(-3)

=2

Part 1: Check your work now. Use the substitution
method to check when h= 5 will it make this equation
true?
8h + 5 = 6h + 15
Part 2: How much money do both Diego and Jazzy
make after working 5 hours? (Write in complete
sentences)

Answers

Answer:

For part 1, it is true.

2h = 5 x 2 = 10

5 + 10 = 15

For part 2, I don't what your referring to, is it the 8h + 5 = 6h + 15?

Answer:

8h +5=6h+15

8 x 5 + 5= 6 x 5 +15

35= 50

= 35/50

= 7/10

You pay $11.20 to buy drink boxes for the football team. Each drink box cost $0.40. How many drink boxes did
you buy?

Answers

I think it’s uhhhh I think it’s uhhhhh carrot

please help due asap jdbhdbdbd

Answers

Answer:

b

Step-by-step explanation:

Answer: b

Step-by-step explanation:

180°-116°=64°

4.1% of 30
I’m in 7th grade so please don’t answer it to complicated lol

Answers

its

= 4.1/100 × 30

= 41/1000 × 30

= 123/100

= 1.23%

Answer:

1.23

Step-by-step explanation:

Hey there !!!!!

4.1% of 30

if we solve it :

Y is 4.1% of 30

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 4.1% * 30

Converting percent to decimal:

p = 4.1%/100 = 0.041

Y = 0.041 * 30

Y = 1.23

therefore:

4.1% of 30 = 1.23

Have a wonderful day

can solve real world problems involving embedded triangles:


The value of x is
please I need this answer quick.

Answers

Answer:

It is 15 x=15

Step-by-step explanation:

rewrite using addition. 3(-17) explain

Answers

Answer:

-17 + -17 + -17

Step-by-step explanation:

Add -17 three times

Answer:

+ (-17) + (-17) + (-17)

-17 - 17 -17

-51

what the square root of 2000

Answers

Answer:

44.7213595

Step-by-step explanation:

I need to write something here apparently

Malachy was thinking of a number. Malachy halves the number and gets an answer of 67.3.
Form an equation with x from the information.​

Answers

Step-by-step explanation:

Let the number be x.

ATQ,

Malachy halves the number and gets an answer of 67.3.

[tex]\dfrac{x}{2}=67.3[/tex]

This the equation for the given statement.

It can also be written as :

[tex]x=2\times 67.3\\\\x=134.6[/tex]

Hence, this is the required solution.

Write 2/3 and 3/4 as equivalent fractions using a common denominator.

Answers

Answer:

8/12 and 9/12

Step-by-step explanation:

answer
8/12 and 9/12
step by step
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