Which of the following tables represents a linear relationship that is also proportional?


x −1 0 1
y −3 −2 −1

x −2 0 2
y −3 0 3

x −2 0 2
y 0 2 3

x −2 0 2
y 2 4 6

Answer:

1. 1.6 kg

2. 0.68 kg

3. 0.6 kg

4. 1.28 kg

Step-by-step explanation:

For all of the questions, you divide it by what she takes off the sample for testing.

Hope this helps :)

Answer:

50,000? This is my answer sorry if wrong

Step-by-step explanation:

The correct option regarding whether the table shows a proportional relationship is given as follows:

Yes.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The constant for a pair (x,y) is given as follows:

k = y/x.

When x = 5/6, y = 2, hence the constant is given as follows:

k = 2/(5/6)

k = 12/5

k = 2.4.

When x = 25/6, y = 10, hence the constant is given as follows:

k = 10/(25/6)

k = 60/25

k = 2.4.

When x = 125/6, y = 50, hence the constant is given as follows:

k = 50/(125/6)

k = 300/125

k = 2.4.

Same constant, hence the table in fact represents a proportional relationship.

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since they are all in the same line you only need to use 2 of the points I'm using (1,-1) and (2,1) next you do (x1,y1) and (x2, y2) which would be (1,2) and (-1, 1) then do y2-y1 / x2-x1 which would be 1/2

Answer:

1

Step-by-step explanation:

: P.

1mile because 1/5 X 5 = 1/1 or 1 :)

Answer: A

Step-by-step explanation:  578*0.09=52.02~ is 50

Answer:

The art teacher is incorrect.

Step-by-step explanation:

Coming Up with Compatible Estimate Numbers:

The teacher has 47 1/3 pounds of clay. We can round this to 50. Now we have 50 pounds of clay.

Explaining the Operations:

The teacher wanted to distribute the clay by 2.5 lbs. This means we need to divide the amount of clay by 2.5.

Performing the Operations:

Divide 50 by 2.5 ---> 50÷2.5=(5÷2.5)*10--->5÷2.5=2--->2*10=20

Final Conclusion

For every student, the art teacher plans to give 2.5 lbs of clay. This means he will divide his 47 1/3 pounds by 2.5 piles and hand them out to the students. If we round 47 1/3 to 50 (about 2 points higher) and divide 50 by 2.5, you get 20. This means he would have a little less than enough clay for 20 students, not 9. Therefore, the art teacher is incorrect.

****ANOTHER POSSIBLE SOLUTION****

You can also multiply 9 x 2.5 and see if the product is close to 47 1/3. In this case, you can round 2.5 to 3 and proceed with the multiplication. 9*3=27 Since 27 is a lot lower than 47 1/3, the art teacher is incorrect.

Answer:

4

Step-by-step explanation:

The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.

The cube root of 64 is 4.

Before solving the question, let's understand the concept of cube root.

The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.

The cube root is denoted by ∛

Now, we will find the cube root of 64.

Firstly, we have to find factor 64.

64 = 2 × 2 × 2 × 2 × 2 × 2.

64 = ∛4³

64 = 4

Therefore, the cube root of 64 is 4.

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Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

The mass of the container is 67.942 grams.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that amount of sugar is 23.385 grams, the amount of soda is 12.873 and the total mass is 104.2 grams.

The weight of the container will be calculated as below:-

Total weight of sugar and sods = 23.385+12.873=36.258

Weight of container = 104.2-36.258=67.942

Weight of container = 67.942 grams

Therefore, the mass of the container is 67.942 grams.

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Answer: The Constant of Proportionality is 506.

Step-by-step explanation:

At 1 hour the plane traveled 560 Miles and at the second hour it had traveled 1,120 miles.

560+560=1,120 and if you add 560 to 1,120 you will get 1,680 which is the distance traveled at 3 hours. Therefore the answer is 560.

Answer:

1. 660.52

2. 572.56

3. 283.53

4.254.47

5. 63.62

6. 380.13

Step-by-step explanation:

do πr²

r = radius

if you have a diameter like question 4 divide by 2 and you get radius

Answer:

1. A = 660.52 square units. C = 91.11 units.

2. A = 572.56 square units. C = 84.82 units.

3. A = 283.53 square units. C = 59.69 units.

4. A = 254.47 square units. C = 56.55 units.

5. A = 63.62 square units. C = 28.27 units.

6. A = 380.13 square units. C = 69.12 units.

Step-by-step explanation:

The equations for Area and Circumference of a circle are as follows:

You are given the radius (or diameter) of each circle which can be substituted into the above equations for r. Diameter is the entire length across the circle through the center, which is equal to 2(r).

1. A = π(14.5)² = 660.5198. The area is approx. 660.52 square units.

C = 2π(14.5) = 91.106. The circumference is approx. 91.11 units.

2. A = π(13.5)² = 572.555. The area is approx. 572.56 square units.

C = 2π(13.5) = 84.823. The circumference is approx. 84.82 units.

3. A = π(9.5)² = 283.528. The area is approx. 283.53 square units.

C = 2π(9.5) = 59.690. The circumference is approx. 59.69 units.

4. Diameter = 18; 18/2 = 9 = r. So, A = π(9)² = 254.469. The area is approx. 254.47 square units.

C = 2π(9) = 56.548. The circumference is approx. 56.55 units.

5. r = 9/2 = 4.5. So, A = π(4.5)² = 63.617. The area is approx. 63.62 square units.

C = 2π(4.5) = 28.274. The circumference is approx. 28.27 units.

6. A = π(11)² = 380.132. The area is approx. 380.13 square units.

C = 2π(11) = 69.115. The circumference is approx. 69.12 units.

Answer:

c = 0.06p + p

Step-by-step explanation:

hope this helped

An equation that represents the total cost, c, of any item bought in Idaho whose price is p is c = 1.06p.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

Cost of the winter jacket = $30

Sales tax = 6%

Total cost of the winter jacket = 30 + (6% × 30)

                                                   = 30 + 1.8

                                                   = $31.8

If the total cost of any item is c whose price is p,

c = p + (6% × p)

c = p + 0.06p

c = 1.06p

Hence the required equation is c = 1.06p.

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Answer:

6 more times

Step-by-step explanation:

To earn enough money to buy a game that costs $88, Ivan needs to earn 88 / 8 = 11 times his dog walking fee.

He already walked the dog 5 times, so he still needs to walk the dog

11 - 5 = 6 more times.

Therefore, Ivan needs to walk the dog 6 more times to earn enough money to buy the game.

Answer:

Jenna and Mia both used the distributive property to solve the problem, and the advantage of using Mia's method was that she added whats was I the parentheses, which narrowed down the math, but was still longer than Jenna's, as Jenna just multiplied both parts then added, making it shorter, and easier.

Step-by-step explanation:

Step-by-step explanation:

The difference beteen 9.2 ounces and 8.1 ounces is  1.1 ounces

   and the difference in price is   .49

       so 1.1 ounces cost .49

           $ .49 / 1.1 oz = $  .445  per ounce

Then Reid's bowl should cost   7.8 oz  * $ .445 / oz = $3.47

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The answer is 8 so its a direct proportion

I think...

The constant of Proportionality is 8.

If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.

Given:

Total Baseball Caps= 30

Total amount of Cap= $240

let the number of caps sold be c.

Then, the equation is

30 c= 240

and, c= 240/30

c= 8

Hence, the constant of Proportionality is 8.

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Answer:

16 square feet

Step-by-step explanation:

one section, or each section of the garden will be equal to 16 square feet.

You can find this by dividing 96 by 6

96/6=16

Answer:

and complex solutions:  \(\bold{x_1=\frac{ i\,\sqrt{46}}2\ ,\quad x_2=-\frac{ i\,\sqrt{46}}2}\)

Step-by-step explanation:

-27 = 2x² - 4

-2x² = 27 - 4

-2x² = 23

 x² = -23/2

means NO REAL SOLUTIONS  

(as there is no real number that put instead of x gives value less then 0)

However in complex numbers we have:

\(x=\pm\sqrt{-\frac{23}2}=\pm\sqrt{\frac{23}2}\cdot i=\pm\, i\sqrt{\frac{46}4}=\pm\frac{ i\,\sqrt{46}}2\\\\ x_1=\frac{ i\,\sqrt{46}}2\ ,\quad x_2=-\frac{ i\,\sqrt{46}}2\)

Answer:

92.5 square inches

Step-by-step explanation:

Area of square:

10 * 10 = 100 square inches

Area of right triangle:

(1/2) * 5 * 3 = 7.5 square inches

Area of figure:

100 - 7.5 = 92.5 square inches

Answer:

a 1/5

Step-by-step explanation:

because if you do 5/10-3/10 you get 2/10

then you simplify by 2 which means you do 2 divided by 2 which

is 1 then you do 10 divided by 2 which is equal to 5 so your

answer is indeed 1/5

Answer:

91 cents

Step-by-step explanation: 3 times 25 is 75

3 times 5 is 15 then 1 so add to together

Answer:

Step-by-step explanation:

3 quarters = 75 cents. And nickels are 5 cents each so three of them would bring the 75 cents to 90 cents. And then a dime is 10 cents. So adding ten cents to the 90 cents that we already have gives us 100 cents. Which is a dollar. Because 100 cents = $1.

Hope this helps :)

Pls mark brainliest :3

And have an amazing day <3

Answer:

correct answer is 7 years

Step-by-step explanation:

A+56=9(A)

56+9A

A=7

he will be 7 years old he is pretty old

Answer:

Kevin is 7 years old right now.

Step-by-step explanation:

Let x be Kevin's age right now, that's what we're trying to find.

In 56 years, he'll be 9 times older than he is now, so we can say:

x + 56 = 9x

Now we can get the x values on the right side of the equation so that:

56 = 8x

Now solve for x and you have his current age which is 7.

Answer:

3 1/3

Step-by-step explanation:

       See attachment below

Answer:

Option (A) 3 1/3

Step-by-step explanation:

Let’s solve the improper fraction into a mixed fraction.

The simplified fraction will get a remainder but we I’ll not solve the remainder.

50/15

Quotient = 3

Remainder = 5

Fraction = 3 5/15

               = 3 1/3

Hope my answer helps you ✌️

Mark BRAINLIEST

Answer:

6. 11

7. A

Step-by-step explanation:

6.

5 7 8 11 12 14 15

middle number?

11.

7.

5 7 8 11 12 14 15

11 is middle

find middle for 5 7 8

7

the middle for 12 14 15

14

Check box and whisker plots that represent that

Answer:

question number 6 is 11

and number 7 is A

Answer:

Step-by-step explanation:

reason 1:

opening of brackets to solve the expression

reason 2:

in multiplication order is followed i.e. the number always lead the variable in the expression

reason 3:

for clarification brackets are added to multiply like terms i.e. numbers with numbers and variable with the variable

reason 4:

the solved and simplified expression is delivered as a result

Answer:

not really, if at one point he was bleeding a little, he still should have done something about it instead of continuing and risking contaminating whatever it was

Step-by-step explanation:

Answer:

area = 169.76 cm²

Step-by-step explanation:

area of rectangle = 20 x 11 = 220 cm²

area of circle = π4² = 50.24 cm²

deduct circle from rectangle area = 220 - 50.24 = 169.76 cm²