Does the following table represent a proportional relationship, and if so what is the proportion of the cost for a box of cereal to the size of the box?

Cost for a box of cereal $2.20 $2.64 $3.30 $4.84
Size of box (in ounces) 10 12 15 22
yes, $0.22 per ounce
yes, $4.55 per ounce
yes, $0.44 per ounce
no it is not proportional

Answers

Answer 1

Answer:

A

Step-by-step explanation:

I'm not entirely sure but please let me know if I'm right

Answer 2

Answer: yes

Step-by-step explanation: 2.20 divided by 10 is .22, so one ounce is 22 cents. 2.64 divided by 12 is .22, 3.30 divided by 15 is .22, and 4.84 divided by 10 is .22. All the costs are the same per ounce, so it is a proportional relationship of .22.


Related Questions

write a rule about the angle measures of an isoceles right triangle​

Answers

Answer:

In an isosceles right triangle, the equal sides make the right angle. They have the ratio of equality, 1 : 1. ... Therefore each of those acute angles is 45°.

Step-by-step explanation:

Find the sum 5/10 + 3/100 =

Answers

Answer:

0.53

Step-by-step explanation:

5/10 + 3/100=0.53

Answer:

0.53

Step-by-step explanation:

5/10 + 3/100

by Elysium

(50 +3)/100

53/100

0.53

8 cm
5 cm
10 cm
12 cm
Find the area of the figure.
41 cm
90 cm2
95 cm
100 cm?

Answers

Answer:

its 90cm^2

Step-by-step explanation:

hope d answer will help u

A waitress sold 11 ribeye steak dinners and 12 grilled salmon​ dinners, totaling ​$560.63 on a particular day. Another day she sold 16 ribeye steak dinners and 6 grilled salmon​ dinners, totaling ​$584.46. How much did each type of dinner​ cost?

Answers

The cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20

Solution:

Let "a" be the cost of each ribeye steak dinners

Let "b" be the cost of each grilled salmon dinners

A waitress sold 11 ribeye steak dinners and 12 grilled salmon​ dinners, totaling ​$560.63 on a particular day

Thus we frame a equation as:

11 x cost of each ribeye steak dinners + 12 x cost of each grilled salmon dinners = 560.63

[tex]11 \times a + 12 \times b = 560.63[/tex]

11a + 12b = 560.63 -------- eqn 1

Another day she sold 16 ribeye steak dinners and 6 grilled salmon​ dinners, totaling ​$584.46

Thus we frame a equation as:

16 x cost of each ribeye steak dinners + 6 x cost of each grilled salmon dinners = 584.46

[tex]16 \times a + 6 \times b = 584.46[/tex]

16a + 6b = 584.46 ------------ eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 2 by 2

32a + 12b = 1168.92 ------- eqn 3

Subtract eqn 1 from eqn 3

32a + 12b = 1168.92

11a + 12b = 560.63

( - ) ----------------

21a = 1168.92 - 560.63

21a = 608.29

Divide both sides by 21

[tex]a = 28.96 \approx 29[/tex]

Substitute a = 29 in eqn 1

11(29) + 12b = 560.63

319 + 12b = 560.63

12b = 560.63 - 319

12b = 214.63

Divide both sides by 12

[tex]b = 20.13 \approx 20[/tex]

Thus cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20

Write an equation in point-slope form for the line that has a slope of 56 and contains the point (−8,−4).

Answers

Step-by-step explanation:

Given: slope of line m = 56 & line contain point is (−8,−4).

[tex] \therefore (x_1, \:\: y_1) = (-8, \:\: - 4)[/tex]

Equation of line in slope point form is given as:

[tex]y - y_1 =m(x - x_1) \\ \\ \therefore \: y - ( - 4) = 56 \{x - ( - 8) \} \\ \\ \blue{ \boxed{\therefore \: y + 4= 56 (x + 8) }}\\ ..(this \: is \: the \: equation \: of \: line \: in \: \\ slope \: point \: form)\\ \\ \therefore \: y + 4= 56x + 56 \times 8 \\ \\ \therefore \: y + 4= 56x + 448 \\ \\ \therefore \: y = 56x + 448 - 4 \\ \\ \huge \red{ \boxed{\therefore \: y = 56x + 444 }}\\ ..(this \: is \: the \: equation \: of \: line \: in \: \\ slope \: intercept \: form)[/tex]

Answer:

y+4 = 56(x+8)

Step-by-step explanation:

y-y1 = m(x-x1)

y-(-4) = 56(x-(-8))

y+4 = 56(x+8)

If needed, simply it further

y+4 = 56x+448

y = 56x+444

ms rowan is selling tickets and she already sold 15 and her goal is to sell 100. if she sells 5 tickets per day how many days until she will get to 100

can you do this as an equation pls?

Answers

Answer:

100=5x+15

x= # of days

Step-by-step explanation:

100 is the total. Then 5 tickets every day whivh would be 5x. And she already sold 15 so u add 5x and 15. (x wold be the amount of days)

URGENT! PLEASE HELP!
Find the roots of f(x)=x^2+10x−96
Question 6 options:
x=8 or x=−12
x=6 or x=−16
x=−6 or x = 16
x =8 or x =12

Answers

Answer:

the answer is x=6 or x=-16

The correct answer is x = 6 or x = -16.

To find the roots of the quadratic function f(x) = x2 + 10x - 96, we need to solve the equation x2 + 10x - 96 = 0 using the quadratic formula.

Using the quadratic formula, x = (-b ± √(b2 - 4ac)) / 2a, where a = 1, b = 10, and c = -96, we get x = 6 or x = -16 as the roots of the function f(x).

Therefore, the correct answer is x = 6 or x = -16.

the function h=14t²+56t+60 represents the height of an object that is launched directly up into the air, where h represents the height in feet of the object and t represents time in seconds
What is the maximum height in feet of the object?
How long will it take the object to reach its maximum height?

Answers

Answer:

It will take the object 2 seconds to reach the maximum height.

Step-by-step explanation:

The original equation is [tex]h=-14t^2+56t+60[/tex].

The object reaches the maximum height when derivative of [tex]h[/tex] is zero

[tex]\frac{dh}{dt}=0[/tex]

So let us take evaluate the derivative of [tex]h[/tex]

[tex]\frac{dh}{dt} =\frac{d}{dt} (-14t^2+56t+60)=\frac{d}{dt} (-14t^2)+\frac{d}{dt}(56t)+\frac{d}{dt} (60)[/tex]

[tex]=-28t+56[/tex]

this must be equal to 0:

[tex]-28t+56=0[/tex]

[tex]t=\frac{-56}{-28}[/tex]

[tex]\boxed{ t=2}[/tex]

It will take the object 2 seconds to reach the maximum height.

(5x - y) + (2x + 6y)
What’s the answer

Answers

Answer:

7x+5y

Step-by-step explanation:

Combine like terms:

5x+2x+(-y)+6y

7x+(6y-y)

7x+5y

Hope this helped!

Answer: 7x+5y

Step-by-step explanation:

(5x-y)+(2x+6y)

5x−y+2x+6y

(5x+2x)+(−y+6y)

7x+5y

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! I also hope you had a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

In a short story, a character decides to distance himself
from his family by moving away. When he does, life
becomes difficult. He realizes how often he had relied on
his family for support and encouragement. In order to
respect his plea for independence, his family had refrained from contacting him. In the end, the character moves back to his hometown and is happier because of it.
Which common literary theme is best illustrated by the passage?​

Answers

Answer:

A)

Step-by-step explanation:

The theme is a message that the story was trying to portray. In the story, it seems that the character realizes that his home life and family matter more to him than he thought which is why he moved back to his hometown and became happy from that. He moved away thinking that life would be better without his family and soon regrets it.

What is the prime factorization for 356

Answers

Final answer:

The prime factorization of 356 is found by dividing it by the smallest prime numbers step by step, leading to the solution of 2×2×89.

Explanation:

The prime factorization of 356 involves breaking down the number into its prime factors, which are numbers that can only be divided by 1 and themselves. To start, we look for the smallest prime number that can divide 356. We find that 2 is the smallest prime factor of 356 (since 356 is an even number).


Dividing 356 by 2, we get 178. Continuing this process, 178 is also even, so we divide by 2 again to get 89. Upon reaching 89, we find that it is a prime number because it cannot be divided evenly by any number other than 1 and itself.


Therefore, the prime factorization of 356 is 2×2×89. This means that 356 can be expressed as a product of these prime numbers.

A tank has 15 gallons of water in it when water begins draining from the tank. (Recall that water weighs 8.345 pounds per gallon.)

Define a function f that determines the number of gallons of water in the tank, f ( w ) , in terms of the number of pounds of water that have drained from the tank since the tank started draining, w .

Answers

Answer:

[tex]f(w) = 15 - \frac{w}{8345}[/tex]

Step-by-step explanation:

Water begins draining from a tank when the tank has 15 gallons of water in it.

Now, if we define f(w) as a function that represents the number of gallons of water remains in the tank after w pounds of water that have drained from the tank since the tank started draining, then the function can be represented as

[tex]f(w) = 15 - \frac{w}{8345}[/tex]

Since, w pounds of water is equivalent to [tex]\frac{w}{8345}[/tex] gallons of water. (Answer)

(Recall that water weighs 8.345 pounds per gallon.)

The function f should be defined is [tex]f(w) = 15 - \frac{w}{8345}[/tex]

Important information:

A tank has 15 gallons of water in it when water begins draining from the tank. (Recall that water weighs 8.345 pounds per gallon.)

Function:

Since we have to defined the function so it is f(w) that shows the number of gallons of water remains in the tank after w pounds of water.

So, the function should be [tex]f(w) = 15 - \frac{w}{8345}[/tex]

learn more about the function here: https://brainly.com/question/12394974

What is the value of F(x) = 4x+9
When x= 5

Answers

Answer:

f(5) = 29

Step-by-step explanation:

Step 1:  Identify the function

f(x) = 4x + 9

Step 2:  Let x equal 5 in the function

f(5) = 4(5) + 9

Step 3:  Multiply

f(5) = 20 + 9

Step 4:  Add

f(5) = 29

Answer:  29

Answer:

[tex]F(x)=29[/tex]

Step-by-step explanation:

Given function:

                 [tex]F(x) = 4x+9[/tex]

                   Find F(x) at , [tex]x= 5[/tex]

The value of 'x' is given for which we have to find the value of F(x)

Putting the given 'x' in the function equation

                      [tex]F(x) = 4x+9\\\\ F(x) = 4(5)+9\\\\ F(x) = 20+9\\\\ F(x) = 29[/tex]

             

        So , [tex]F(x)=29[/tex] at  [tex]x=5[/tex]

Please help me!
Simplify the expression (x+3)2−4(x+3).

Answers

Answer:

-6-2x

Step-by-step explanation:

Expand:

(x+3)2 = 2x+6

-4(x+3) = -4x-12

2x+6-4x-12 = -6-2x

Using the digits 0 to 9, at most one time each, fill in the boxes to create a square, with one of the vertices at (2,3). Hint: 2 and 3 are already used (so they cannot be used again); not all numbers will be used.

Answers

Answer:

A(2,3), B(6,4), C(5,8), D(1,7)

Step-by-step explanation:

We were given the initial vertex at (2,3).

We want to create a square using the digits 0 to 9, at most one time each.

Keeping in mind the following properties of a square:

All sides are congruent

All angles are right angles

Hence the other three vertices are: B(6,4), C(5,8), D(1,7)

See attachment.

Final answer:

The question is about forming a square using unique digits from 0 to 9 to form coordinates with one vertex at (2,3). The coordinates of the square are (2,3), (4,3), (4,5) and (2,5) using digits 0,2,3,4 and 5.

Explanation:

This type of problem is a geometric shape puzzle that involves basic principles of coordinate geometry and the usage of digits 0 to 9. Let's consider the point (2,3) as the bottom-left vertex of the square.

We know that a square has all sides equal, so we can choose point (4,3) as the bottom-right vertex (2+2=4), then (4,5) as the top-right vertex (3+2=5), and finally (2,5) as the top-left vertex.

We used the numbers 0,2,3,4,5 from the set of digits from 0 to 9.

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2 is underlined 12.917 what is the place value for 2

Answers

Answer: 2 is the nearest whole number.

Step-by-step explanation:

two is in the ones place value

Which describes how to graph h (x) = negative RootIndex StartRoot x + 8 EndRoot by transforming the parent function?

Reflect the parent function over the y-axis, and translate it 3 units to the right.
Reflect the parent function over the y-axis, and translate it 3 units to the left.
Reflect the parent function over the x-axis, and translate it 8 units to the right.
Reflect the parent function over the x-axis, and translate it 8 units to the left.

Answers

Answer:

Reflect the parent function over the x-axis, and translate it 8 units to the left.

Step-by-step explanation:

The given function is

[tex]y = - \sqrt{x + 8} [/tex]

The parent function is

[tex]y = \sqrt{x} [/tex]

Since there is a negative multiply the transformed function, there is a reflection in the x-axis.

Since 8 is adding, within the square root, there is a horizontal translation of 8 units to the left.

Therefore to graph the given function, reflect the parent function over the x-axis, and translate it 8 units to the left.

Take the reflection of the graph about the x-axis and then translate the graph of the function by 8 units in the left direction and this can be determined by using the rules of transformation.

Given :

Function  --  [tex]\rm y = - \sqrt{x+8}[/tex]

The following steps can be used in order to determine the correct statement:

Step 1 - The parent function is given below:

[tex]\rm y = \sqrt{x}[/tex]

Step 2 - Now, draw the graph of the parent function.

Step 3 - Take the reflection of the graph about the x-axis. So, the function becomes:

[tex]y =- \sqrt{x}[/tex]

Step 4 - Now, translate the graph of the function obtained in the above step by 8 units in the left direction. So, the function becomes:

[tex]y = -\sqrt{x+8}[/tex]

Therefore, the correct option is D).

For more information, refer to the link given below:

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What it’s 3 to the power of 4 equal

Answers

Answer:

81

Step-by-step explanation:

3*3*3*3= 81

A garden table and a bench cost $1049 combined. The garden table cost $99 more than the bench. What is the cost of the bench?

Answers

Answer:

475

Step-by-step explanation:

To find the cost of the bench, subtract 99 from 1049, then divide by 2. Add 99 to the answer(475) to get the cost of the garden table(574).

How fast can a car going that traveled 330 and 1/3miles in 5 and 1/4 hour

Answers

Answer:

62.9mi/hr

Step-by-step explanation:

How far the car is moving is the speed.

We need to calculate the speed given that, the distance traveled is [tex]330\frac{1}{3} \:miles[/tex]

The time given is [tex]5\frac{1}{4}[/tex] hours.

Recall that: [tex]Speed=\frac{Distance}{Time}[/tex]

We plug in the values to get:

[tex]Speed =\frac{330\frac{1}{3} }{5\frac{1}{4} }[/tex]

We simplify to get:

[tex]Speed=\frac{3964}{63} =62.\overline{920634}[/tex]

find the x and y intercepts of the line
y=−9x−14

Answers

Answer:

X Intercept: (-14/9,0) Y intercept: (0,-14)

Step-by-step explanation:

To find the X intercept, plug in y=0... so it would look like this, -9x-14=0, then solve. -9x=14...x=-14/9

To find the Y intercept, plug in x=0...so it would look like this, -9(0)-14=y, then solve. 0-14=y...-14=y

Answer:

The intersection with the x-axis is at B(-14/9,0), and with the y-axis at A(0,-14).

x=0, y=-9x-14, y=-9*0-14, y=-14 A(0,-14)

y=0, y=-9x-14, 0=-9x-14, 0+14=-9x

-9x=14, x=-14/9 B(-14/9,0)

Find the values for each dot plot.
21
22
23
24
25
26
27
28
Range:
Median:
Mode:

Answers

For range it’s highest number minus lowest number so:
28 - 21 = 7

For median it’s the middle number:
Since there’s two we add them and dive it by two so:
25 + 24 = 49 dived by 2 = 24.5

For mode it’s most occurring number in this case :
All of them appear twice so none of them are the mode

ILL GIVE BRAINLY ON WHOEVER GETS IT RIGHT


On a coordinate plane, line segment A B goes from (negative 4, 3) to (negative 1, 1), segment D C goes from (1, 1) to (4, 3), segment F E goes from (3, 1) to (6, 3), segment H G goes from (negative 4, negative 3) to (negative 1, negative 1), segment I J goes from (negative 4, negative 5) to (negative 1, negative 3).
Which segment is a reflection of segment AB over the line x = 1?


Line segment C D
Line segment E F
Line segment G H
Line segment I J

Answers

Answer: b is right

Step-by-step explanation:

An annual membership at a swim club cost $30. Members must also pay $5 monthly locker fee, and $2 fee each time they use the facility. Which of the following can be used to find the total annual cost (A) for a membership? (hint: there are 12 months in a year) ​

Answers

Answer:

30+(5X12)+2x=90X2x

Step-by-step explanation:

5x12= 60

60+30=90

90x2x

We don't know how many times they use the facility so it stays 2x and you have to times that by 90 since that's the total cost minus the 2x.

Write an equation that you can use to find the value of x. Perimeter of square: 30 mm An equation that you can use is =30.

Answers

since all four sides of a square are congruent and the perimeter of a square is side length times four, you can set up the equation 4x = 30. divide by 4 to solve to get side length (x) = 7.5

Answer:30=4x

Step-by-step explanation:

x = 5
y = -3 What is the solution to the system of equations?

Answers

Answer:

y=5m-3

Step-by-step explanation:

Expand the following expression.

2/5(2x-7)

(just checking again)

Answers

Answer:

b

Step-by-step explanation:

2 x 2 = 4/5

2 x -7 = -14 / 5

Answer:

B) 4/5x-14/5

Step-by-step explanation:

2/5(2x-7)

2/5*2x= 4/5x

2/5*7=14/5

Which choice shows the coordinates of C’ if the trapezoid is reflected across the y-axis?

On a coordinate plane, trapezoid A B C D has points (2, 1), (3, 5), (5, 3) and (3, 1).
(–5, 3)
(3, –5)
(5, –3)
(–3, 5)

Answers

The coordinates of C’ is (-5,3), the correct option is A.

How does reflection across axis work?

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

Thus, if you're reflecting a point (x,y) along x axis, then its x

abscissa will stay same but y

ordinates will negate. Thus (x,y) turns to (x, -y)

Similarly, if you're reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)

Given;

On a coordinate plane, trapezoid A B C D has points (2, 1), (3, 5), (5, 3) and (3, 1).

Now,When a point is reflected across the y-axis, the rule is:

(x,y)→ (-x,y)

C (5.3)= C' (-5,3)

Therefore, the reflection on C will be C (5.3) C' (-5,3).

Learn more about reflection here;

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If triangle RAT was rotated 270° clockwise about the origin to create triangle R’S’T, what would be the length of segment S’T’?

Answers

Yo sup??

Actually the lenght of the segment won't change cause rotation about origin doesn't affect the lenght of the triangle.

Therefore

ST=S'T'=8 units

Hope this helps.

ST would be 7 units long

An airplane flying at a velocity of 610 m/s lands and comes to a complete stop
over a 53 second period.

a) Did this airplane speed up or slow down? Explain your reasoning.

b) Did this airplane accelerate or decelerate? Explain your reasoning.
c) Should your answer be positive or negative? Explain your reasoning.

d) Calculate the acceleration.

Answers

A) The airplane slowed down. It states that the plane lands and come to a complete stop over a 53 second period.

B) It decelerates. The speed doesn't increase. It slows down.

C) The answer should be positive. Although the deceleration is slowing down the plane, it's not going at a negative speed.

D) The answer is 11.5m/s. I divided the velocity by the amount of seconds it takes to make a complete stop.

The following information should be considered;

A) The airplane falled down. It states that the plane lands and come to a complete stop over a 53 second period.

B) It decelerates. The speed doesn't increase. It slows down.

C) The answer should be positive. The deceleration is slowing down the plane, it's not going at a negative speed.

D) The answer is 11.5m/s. I divided the velocity by the amount of seconds it takes to make a complete stop.

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