A family-sized box of cereal with dimensions 3x9x12 inches costs $6, while the regular size with
dimensions 2 x 8 x 9 inches costs $4.50. What is the difference in price per cubic inch?

Answers

Answer 1
Cubic inch means we are dealing with volume.

So,

Calculate the volume of both boxes.

1. 3x9x12 = 324 cubic inches

2. 2x8x9 = 144 cubic inches

First box costs $6 for 324 cubic inches, so if you divide 6 by 324 you will get the price for 1 cubic inch of the box.

6/324 = $0.018518518518519

2.

Second box costs $4.50 for 144 cubic inches.

4.5/144 = $0.03125

Subtract the cheaper one from the more expensive one to find the difference.

0.03125 - 0.018518518518519 = 0.012731481481481

The difference in price per cubic inch is

$0.012731481481481

Or about 1.3 cents.


Related Questions

Haha please help i don't know what I'm doing

Answers

Answer:

(5x+1)(x+7)

Step-by-step explanation:

4x^2+26x+6+x^2+10x

5x^2+36x+7

(5x+1)(x+7)

Prove

5x*x + 5x*7 + 1*x + 1*7

= 5x^2 + 35x + x + 7

= 5x^2 + 36x + 7

Debbie's Cupcakes recently sold 3 vanilla cupcakes and 3 other cupcakes. What is the experimental probability that the next cupcake sold will be a vanilla cupcake?
Write your answer as a fraction or whole number.
P(vanilla cupcake)=

Answers

Answer:

P(vanilla cupcake)= 1/2

Step-by-step explanation:

Knowing that:

3 vanilla cupcakes

3 other cupcakes

Total = 6

To Find:

What is the experimental probability that the next cupcake sold will be a vanilla cupcake?

Write your answer as a fraction or whole number.

P(vanilla cupcake)=

Solve:

Experimental probability is expressed as:

(Favorable outcomes) / (Total outcomes)

The favorable outcome in this situation is vanilla cupcakes. There were 3 vanilla cupcake sold, so this is the numerator of our fraction.

To find the total outcomes we add 3 + 3, which equals 6. This will be the denominator of our fraction.

The fraction used to express experimental probability will be: 3/6

We can further simplify this to 1/2.

Thus:

P(vanilla cupcake)= 1/2 or 3/6

Kavinsky

Does anyone know this correctly?

Answers

The correct answer would be b
Answer is C!!!!!!!!!!!!!¡¡¡

EASY 9th GRADE MATH PLEASE HELP

Two thirds of a number is twice the number decreased by twenty-four. Write an equation and solve for the number.

Answers

Step-by-step explanation:

2/3 X = 2x -24

now just solve for X.

2X = 8X - 72

-6x = -72

X = 12

if a clock shows it is 3 o'clock, how could you describe the smaller angle made by the two hands of the clock? Solve this problem any way you choose.

Answers

Answer: 5 1/4

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

The minutes hand is vertical pointing straight up.

The hours hand is horizontal pointing right.

The smaller angle between the hands is 90°.

Please help. Will mark brainlyest!

Answers

Answer:

last one

Step-by-step explanation:

Answer:

(-3,-2)

Step-by-step explanation:

(x,y)

Your medical research team is investigating the standard deviation of the cost of a 30-day-supply of a certain heart medication. A pharmaceutical company thinks that the standard deviation of the cost is less than $23. You want to support this claim. How would you write the null and alternative hypothesis?

Answers

Considering the situation described, the hypothesis tested are given as follows:

The null hypothesis is [tex]H_0: \sigma \geq 23[/tex]The alternative hypothesis is [tex]H_1: \sigma < 23[/tex]

What are the hypothesis tested?

At the null hypothesis, it is tested if the standard deviation is not less than $23, that is:

[tex]H_0: \sigma \geq 23[/tex]

At the alternative hypothesis, it is tested if there is significant evidence t conclude that the standard deviation is less than $23, that is:

[tex]H_1: \sigma < 23[/tex]

More can be learned about an hypothesis test at https://brainly.com/question/26454209

how do geometric functions differ from algebraic functions?

Answers

Answer:

happy to explain

Step-by-step explanation:

Algebra is an area in mathematics that uses variables, in the forms of letters and symbols, to act as numbers or quantities in equations and formulas. Geometry is an area in mathematics that studies points, lines, varied-dimensional objects and shapes, surfaces, and solids

Please help!! Due in 15 minutes!!
Q.1. Which point is a solution to the system below?
y ≤ -2/3x - 4
y ≥ 1/5x - 3
A. (0, 3)
B. (-4, -2.5)
C. (-5, 0)
D. (-2, -4)

Q.2. Which point is a solution to the system of inequalities below?
A. (4, -9)
B. (2, -10)
C. all real numbers on y < -4x - 2
D. There is no solution to this system of inequalities

Q.3. Which statement is true about the system of inequalities below?
y ≤ 3x + 6
y > - x
I. The intersection point (-1.5, 1.5) is a solution to the system
II. The point (0, 0) is a solution to the system
III. The point (5, 5) is a solution to the system
IV. The point (-1, 6) is a solution to the system
A. I only
B. I and II only
C. III and IV only
D. III only

Answers

Answer:

aaaaaaaaaaaaaaaaa

Step-by-step explanation:

HERES A HARD ONE, is Annie ok?

Answers

Answer:

Her mistake is that she should plot the point (0, 5) first, not (1, -3)

Step-by-step explanation:

First I simplified the equation given.

y - 3 = 2 (x + 1)

y - 3 = 2x + 2

  +3         +3

y = 2x + 5

Since 5 is our y-intercept we would want to graph that first, which would be (0, 5) as a point.

Hope this helps!

i need help please good people ​

Answers

Answer:

x/x+3

Step-by-step explanation:

first off, we start by factorizing.

we start with the numerator  taking x out making it x (x-3) / x^2 - 9

then we factorize the denominator a bit more...making it x (x-3) /  (x-3) (x+3)

as you can tell there is a (x-3) on both sides. so we can cross them out.

x/x+3 is left. try it yourself again so you can understand other questions like this! I hope I could help!

How can you find the maximum or minimum value of the quadratic function?
A. Evaluate the function for x = 0. The resulting value is the maximum or the minimum value.
B. Find the vertex. The y-coordinate of the vertex is the minimum or the maximum value of the parabola.
C. Find the y-intercept. The y-intercept is the maximum or the minimum value of the parabola.
D. Find the vertex. The x-coordinate of the vertex is the minimum or the maximum value of the parabola​

Answers

Answer:

B

Step-by-step explanation:

the y-coordinate of the vertex will be the max or min value of the quadratic function

hope this helps!

If the eqn is negative then it will be a maximum value but when the eqn is positive the curve will be a minimum curve

In a ________, the researcher combines the actual results of a number of studies; the analysis consists of a set of statistical procedures that employ effect sizes to compare a given finding across many different studies.

Answers

In a meta analysis, the researcher combines the actual results of a number of studies.

What is the type of statistical study?

Statistical study is used to obtain the data and examine this data in the way, that its effectiveness can be measured.

There are three main types of statistical study-

A. Experiment-In this type of statistical study, the observer or the researcher see the change in the variable of a study with change in other variable experimentally by providing the necessary conditions.B. Observational study-In the observational study of statistics, the value of the variables are recorded for different associates of the set.C. Survey-In the survey type of study, the data is gathered by directly asking the queries to the people regarding the study.

When the researcher combines the actual results of a number of studies, then this study is called the meta analysis.

Here, in this analysis, he consists of a set of statistical procedures that employ effect sizes to compare a given finding across many different studies.

Thus, In a meta analysis, the researcher combines the actual results of a number of studies.

Learn more about the type of statistical study here;

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Which three-dimensional figure has exactly three rectangular faces?
O rectangular prism
O rectangular pyramid
O triangular prism
• triangular pyramid

Answers

Answer:

Triangular prism

Step-by-step explanation:

Got it right on edge 2022 :)

The three-dimensional figure that has exactly three rectangular faces is a rectangular pyramid

What is the volume of a pyramid?

The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.

Volume of Pyramid = ( 1/3 )a²H

Given data ,

Let the pyramid be represented as A

Now , A rectangular prism has 6 faces, where each face is a rectangle.

A rectangular pyramid has 5 faces, where 4 faces are triangles and 1 face is a rectangle.

A triangular prism has 5 faces, where 2 faces are triangles and 3 faces are rectangles.

A triangular pyramid has 4 faces, where 3 faces are triangles and 1 face is a rectangle.

Hence , the only figure that has exactly three rectangular faces is a rectangular pyramid

To learn more about pyramid click :

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ed galaxy perimeter ​

Answers

Answer:

53 mm

Step-by-step explanation:

Perimeter is the sum of the lengths of all its sides.

Let the length of the unknown side be x mm.

123= 25 +45 +x

x= 123 -25 -45

x= 53

Thus, the unknown side is 53 mm.

PLEASE HELP!!!
If f(x) = -2x^2 + x - 5, what is f(3)?

Answers

Answer:

f(3) = -10

Step-by-step explanation:

Given

f(x) = -2x² + x - 5

Solving

To find f(3), substitute x = 3 in the function⇒ f(3) = -2(3)² + (3) + 5⇒ f(3) = -2(9) + 8⇒ f(3) = -18 + 8⇒ f(3) = -10

Answer:

f(3) = 6

Step-by-step explanation:

f(x)=2x^2 + x -5

f(3) = 2 (3)^2 + (3) - 5

f(3) = 8 + 3 - 5

f(3) = 11-5

f(3) = 6

If 10^2y = 25, then 10^-y equals:
(a) -1/5,
(b) 1/625,
(c) 1/50,
(d) 1/25,
(e) 1/5​

Answers

solution:

[tex] {10}^{2y} = 25[/tex]

[tex] {(10)}^{y2} = {5}^{2} [/tex]

[tex] {10}^{y} = 5[/tex]

[tex] \frac{1}{10 {y} } = \frac{1}{5} [/tex]

[tex] {10}^{ - y} = \frac{1}{5} [/tex]

answer= option e.

Answer
(e) 1/5

Explanation
5^2=5*5=25

Two angles are complementary. The larger angle is 46∘46∘ larger than the smaller angle. Find the measure of both angles, and separate your answers with a comma​

Answers

Answer:

22, 68

Step-by-step explanation:

(Complementary means that the angles together equal 90 degrees)

x + x + 46 = 90

2x + 46 = 90

2x = 44

x = 22

22 + 46 = 68

Which will have a negative number?
A)
(-3)(-9)

B)
(-6)(4)

C
-4 --5

D)
-7+9

Answers

Answer:

B

Step-by-step explanation:

A: 27

C: 1

D: 2

B: -24

anytime you multiply two negative numbers it makes the product positive

Find the missing side to the nearest tenth.
***Numerical answer only!
А
с
5
с
4
B

Answers

Answer:

  6.4

Step-by-step explanation:

The hypotenuse of a right triangle can be found from the other two sides by making use of the Pythagorean theorem. It tells you the square of the hypotenuse is the sum of the squares of the other two sides:

  c² = 4² +5²

  c² = 16 +25 = 41

  c = √41 ≈ 6.4

The missing side length is about 6.4 units.

Which Line is Perpendicular to y= -1/4x - 8?
A) y=-4x+5
B) y=-1/4x-3
C) y=1/4x
D) y=4x+2

Answers

Answer:

D

Step-by-step explanation:

For two lines to be perpendicular, their gradients must have a product of -1The only one that fits this is D

Answer:

D

Step-by-step explanation:

The product of the slope of the perpendicular lines are -1

y = -1/4x - 8

Slope = -1/4

D) y = 4x + 2

Slope = 4

[tex]4 * \dfrac{-1}{4}=-1[/tex]

Where is the blue dot on the number line?

Answers

the blue dot on the number of line is -11.3

Answer:

-11.3

Step-by-step explanation:

Each jump/line is 0.1

As we can see the blue dot is 3 lines from -11 and 2 lines from -11.5 so our answer will be -11 + -0.3 and -11.5 - (-0.2)

-11 + -0.3 = -11.3

-11.5 - (-0.2) = -11.5 + 0.2 = -11.3

Hope this helps and brainliest please

The history museum is hosting a special exhibition on history of flight. The admission ticket for each adult costs $7 and the admission
ticket for each child costs $2. On the opening day of the exhibition, 40 tickets were sold for a total of $180. How many adults visited the
special exhibition?

Answers

Answer:

Use simultaneous equation for this problem

y= number of adults

x = number of children

3y + 2x = 160

y + x = 60

then we double the second equation

3y + 2x = 160

2y + 2x = 120

we cancel x by elimination

3y - 2y = 160 - 120

y = 40

Step-by-step explanation:

hope this helps

If y varies directly with x and y is 12 when x is 9, what is x when y is 4?

Answers

Answer:

3

Step-by-step explanation:

y/x=12/9=4/3

when y is 4 x is 3

PLEASE HELP NEED NOW!!
Jayden has a bag that contains pineapple chews, strawberry chews, and lime chews.
He performs an experiment. Jayden randomly removes a chew from the bag, records
the result, and returns the chew to the bag. Jayden performs the experiment 41 times.
The results are shown below:
A pineapple chew was selected 31 times.
A strawberry chew was selected 4 times.
A lime chew was selected 6 times.
Based on these results, express the probability that the next chew Jayden removes
from the bag will be strawberry chew as a fraction in simplest form.
Answer:
Submit Answer
attempt 2 out of 2

Answers

Answer:

4/41

Step-by-step explanation:

Which relation is a function?

Answers

Answer:

The bottom left one

Step-by-step explanation:

They are the only graph that has one output for each x value

A cone is stacked on top of a cylinder. they both share a circular base. the total height of the composite figure is 20. the height of the cylinder is 11 and the diameter is 12. what is the volume of the composite figure? use 3.14 for π and round the answer to the nearest tenth of a cubic unit. 753.6 in.3 904.3 in.3 1,582.6 in.3 1,997.0 in.3

Answers

Answer:

it is C

Step-by-step explanation:

got it right on edge

Answer:

1,582.6 in.3

Step-by-step explanation:

What is the simplified expression for
44.4°?
49
40
41
42
43

Answers

Answer:

[tex]4^2[/tex]

Step-by-step explanation:

[tex]\dfrac{4^4 \cdot 4^3}{4^5}\\\\\\=\dfrac{4^{4+3}}{4^5}\\\\\\=\dfrac{4^{7}}{4^5}\\\\\\=4^{7-5}\\\\\\=4^2[/tex]

Answer:

4^2

Step-by-step explanation:

4^4*4^3=4^7

4^7/4^5=4^2

The garden in the scale drawing is 0.75 inch long.
What is the actual length of the garden?
Garden
Lawn
Scale: 1 in. = 10ft
1. Write the scale as a ratio:

Answers

Answer:

7.5 feet

Step-by-step explanation:

Hello there.

1. We know that the scale drawing is 0.75 inches long.

2. If 1 whole inch on the map is equivalent to 10 feet in real life, then how much feet in real life would be 0.75 inches on the map?

0.75 is equivalent or equals to 3/4 as a fraction.

Multiply 3/4 with 10 feet to get 7.5 feet.

Hope this helped!

- Angelo

The number of calories C varies directly as the number of ounces N of avocado that is consumed by the body and C is 380 calories N is 20 ounces. Find C when N is 36 ounces.

Answers

Given that C varies directly as N, the value of Calories C when the number of ounces N is increased to the given value is 684 calories.

What is Proportional relationships?

Proportional relationships are relationships between two variables where their ratios are equivalent.

Direct variation equation is a linear equation in two variables.

It is expressed as;

a ∝ b then a = kb

Where k is the proportionality constant.

Given the data in the question;

Calories C = 380 caloriesNumber of ounces N = 20 ounces

Since Calories C and Number of ounces N varies directly, we find their proportionality constant.

a ∝ b then a = kb

C = kN

380 calories = k × 20 ounces

k = 380 calories / 20 ounces

k = 19 calories/ounces

Now,we find C when N is 36 ounces.

C = kN

C = 19 calories/ounces × 36 ounces

C = 684 calories

Given that C varies directly as N, the value of Calories C when the number of ounces N is increased to the given value is 684 calories.

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