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

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).

Answer:

81

Step-by-step explanation:

3*3*3*3= 81

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]

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.)

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]

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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)

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

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).

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Answer:

-6-2x

Step-by-step explanation:

Expand:

(x+3)2 = 2x+6

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

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

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:

Answer:

y=5m-3

Step-by-step explanation:

Answer:30=4x

Step-by-step explanation:

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).

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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.

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 ☺❀❤

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]

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

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.

Answer:

its 90cm^2

Step-by-step explanation:

hope d answer will help u

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.

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]

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

Answer: b is right

Step-by-step explanation:

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.

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

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.

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)

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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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.

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.

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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Answer: 2 is the nearest whole number.

Step-by-step explanation:

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.

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.

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