Huong packed 189 cubes into small, rectangular, empty box. The cubes cimpletely filled the box. The edge length of each cube was 1/2 of an inch. Which statement correctly finds justifies the box's volume based on the number of cubes packed into it ?

Answer: 304.8

Step-by-step explanation;

7300:23.95 = 303.8

Answer:20

Because I looked it up

Answer:

The second one is wrong, so select the rest

Terms = 9*6 is a term

            then, 23*3 isa term

then, 14x is also a term

The algebraic statement that is true is (c) (x²y - xz)/x² = (xy - z)/x

From the question, we have the following parameters that can be used in our computation:

The algebraic statements

Next, we test the options

A/B + A/C = 2A/(B + C)

Take the LCM and evaluate

(AC + AB)/(BC) = 2A/(B + C)

This means that

A/B + A/C = 2A/(B + C) --- false

Next, we have

(a²b - c)/a² = b - c

Cross multiply

a²b - c = a²b - a²c

This means that

(a²b - c)/a² = b - c --- false

Lastly, we have

(x²y - xz)/x² = (xy - z)/x

Factor out x

x(xy - z)/x² = (xy - z)/x

Divide

(xy - z)/x = (xy - z)/x

This means that

(x²y - xz)/x² = (xy - z)/x --- true

Read more about expressions at

https://brainly.com/question/31819389

#SPJ1

The statements that are true regarding the angles formed by the transversal and parallel lines are:

A. m∠1 = 70°.

B. m∠2 = 110°

C. m∠6 = 70°.

E. m∠9 = 50°

H. m∠16 = 130°

Given the following angle measures formed when two parallel lines ( being cut by two transversals:

Using relevant theorems, let's determine which of the statements are true:

Angles 4 and 1 are vertical angles, therefore they are congruent based on the vertical angles theorem.

m∠4 = m∠1

m∠1 = 70°.

m∠2 = 180 - m∠4 [linear angles theorem]

m∠2 = 180 - 70

m∠2 = 110°

m∠6 = m∠4 [base on the alternate interior angles theorem]

m∠6 = 70°.

m∠9 = 180 - m∠12 [based on the linear angles theorem]

m∠9 = 180 - 130

m∠9 = 50°

m∠16 = m∠12 [based on the corresponding angles theorem]

m∠16 = 130°

The statements that are true are:

A. m∠1 = 70°.

B. m∠2 = 110°

C. m∠6 = 70°.

E. m∠9 = 50°

H. m∠16 = 130°

Learn more about transversal and parallel lines on:

https://brainly.com/question/24607467

#SPJ1

Answer:

24

i think:)

Step-by-step explanation:

Answer:

Find the rectangle's area on the left hand side, using the formula:

A = l x w

Where 'l' represents the length and 'w' stands for the width.

Plug in what you know:-

A = l x w

A = 15 x 5

A = 75 square units is the area of the left rectangle.

Now let's find the rectangle's area on the right hand side, using the formula:

A = l x w

Where 'l' represents the length and 'w' stands for the width.

A = l x w

A = 15 x 4

A = 60 square units is the area of the right rectangle.

Now find the middle small horizontal rectangle's area, using the formula:

A = l x w

Where 'l' represents the length and 'w' stands for the width.

But, let's figure out the length first.

We know that from the left rectangle, the two side lengths beside the unknown length of the middle rectangle area 5 and 7.

The unknown length plus those two lengths (5&7) will have to equal 15 since that is the total length, so;

15 - (5 + 7) = x

15 - 12 = x

3 = x, so the unknown length of the middle rectangle is 3.

Plug in what you know into the formula:

A = l x w

A = 3 x 7

A = 21 square units is the area of the middle rectangle.
Now add up all the areas together:

75 + 60 + 21

= 156 square units is the area of the shape.

Answer:

y=20-5x/2

Step-by-step explanation:

Answer:

y=2.5x+10

Step-by-step explanation:

trust me lol

By using the volume of the cylinder, it can be calculated that

Volume of the cylinder is 75.360 cubic inches

What is volume of a cylinder?

Volume of a cylinder is the total space taken by the cylinder.

If r is the radius of the cylinder and h is the height of the cylinder, then volume of the cylinder is calculated by-

V = \(\pi r^2h\)

Here,

Height of the cylinder = 6 inches

Radius of the cylinder = 2 inches

Volume of the cylinder = \(3.14 \times 2^2 \times 6\) = 75.360 cubic inches

To learn more about volume of cylinder, refer to the link-

https://brainly.com/question/9554871

#SPJ1

Complete Question

A cylinder has a height of 6 inches and a radius of 2 inches. What is its volume? Use a 3.14 and round your answer to the nearest hundredth.​

Answer:

124.6

Explanation:

Let the number be x.

Thus, we have that: 13% of x =16.2

Next, solve for x by cross-multiplying.

Divide both sides by 13.

Thus, 16.2 is 13% of 124.6 (rounded to the nearest tenth).

Answer:

YD=6.9

Step-by-step explanation:

In an isosceles trapezoid both diagonals have an equal length. Given this, since diagonal AC is equal to 17.2, diagonal BD must be equal to 17.2. Diagonal BD is made up of segments BY and YD, so the lengths of BY and YD must add to equal 17.2. Since BY is 10.3, the equation YD+10.3=17.2 can be used to find the value of YD. To solve this, subtract 10.3 from both sides of the equation to find that YD is equal to 6.9.

Answer:

26 puppies

Step-by-step explanation:

Step one:

Given data

We are given that there are 65 dogs in total

The ratio of puppies to adult dogs in a kennel is 2:3

Total ratio= 2+3= 5

Required

The number of puppies in the kennel

Step two:

Let us the part to all method to find the number of puppies

let  the number of puppies be x

2/5=x/65

cross multiply we have

5x= 65*2

5x= 130

divide both sides by 5

x= 130/5

x=26 puppies

Also, the number of adults dog is

65- 26= 39

I hope this can help you out some

Answer: 81

Step-by-step explanation: If you add all of the numbers, then you end up getting 81.35 and 81.35 estimated to the nearest whole number is 81 because that's the closest whole number to 81.35.

The Expected Value of guessing at an answer is equal to the probability of getting the answer correct times the value of the question. If you do not know the correct answer to a particular question, it is to your advantage to guess.

(a) The Expected Value of guessing at an answer is equal to the probability of getting the answer correct times the value of the question. For example, if you have a 25% chance of getting a question worth 4 points correct, then the Expected Value of guessing at the answer is (0.25 x 4) = 1 point. Therefore, if you are penalized for incorrect answers, you should only guess when the Expected Value of guessing is positive.

(b) If you do not know the correct answer to a particular question, it is to your advantage to guess. This is because, even if you have no idea what the correct answer is, you still have a chance of getting it right. And, if you are penalized for incorrect answers, you should only guess when the Expected Value of guessing is positive.

(c) If you do not know the correct answer to a particular question but can eliminate one possible choice, it is to your advantage to guess. This is because, by eliminating one choice, you increase the probability of guessing the correct answer. And, if you are penalized for incorrect answers, you should only guess when the Expected Value of guessing is positive. Therefore, if you can eliminate one choice, it is always to your advantage to guess.

To know more about probability refer here:

https://brainly.com/question/31828911

#SPJ11

When the salesman earns 40% commission on all the merchandise that she sells last month she sold $500 worth of merchandise, the commission is $200.

Commission simply means the percentage of the sales that is determined based on the rate that's given.

In this case, the commission will be:

= Percentage × Sales

= 40% × $500

= 0.4 × $500

= $200

The commission is $200

Learn more about commission on:

brainly.com/question/957886

#SPJ1

The translation transformation of the parent function in the graph, indicates that the equation for each of the specified graphs, using the form y = f(x - h) + k, are;

a. y = f(x) + 3

b. y = f(x - 3)

c. y = f(x - 1) + 2

A transformation of a function is a function that takes a specified function or graph and modifies them into another function or graph.

The points on the graph of the specified function f(x) in the diagram are; (0, 0), (1.5, 1), (-1.5, -1)

The graph is the graph of a periodic function, with an amplitude of (1 - (-1))/2 = 1, and a period of about 4.5

Therefore, we get;

a. The graph in part a consists of the parent function shifted up three units. The transformation that can be represented by the vertical shift of a function f(x) is; f(x) + a or f(x) - a

Therefore, the translation of the graph of the parent function is; f(x) + 3

b. The graph of the parent function in the graph in part b is shifted to the right two units, and the vertical translation is zero units, down or up.

The translation of the graph of a function by h units to the right or left can be indicated by an subtraction or addition of h units to the value of the input variable, therefore, the translation of the function in the graph of b is; y = f(x - 3) + 0 = f(x - 3)

c. The translation of the graph in part c are;

A vertical translation 2 units upwards

A horizontal translation 1 unit to the right

The equation representing the graph in part c is therefore; y = f(x - 1) + 2

Lear more on the transformation of functions here: https://brainly.com/question/29185109

#SPJ1

Answer:

1/2

Step-by-step explanation:

There are 6 numbers and the chances of rolling a 1, 2 , or 3 is 3/6.

3/6 simplifies to 1/2

Answer:

Step-by-step explanation:

Volume of a sphere is

\(V = \frac{4}{3} \pi {r}^{3} \)

Where r is the radius

diameter = radius × 2

To find the diameter we must first find the radius

Volume = 34cm³

That's

\(34 = \frac{4}{3} \pi {r}^{3} \\ \\ 34 \times 3 = 4\pi {r}^{3} \\ \\ 102 = 4\pi {r}^{3} \\ {r}^{3} = \frac{102}{4} \pi \\ \\ r = \sqrt[3]{ \frac{51}{2\pi}} \\ \\ r = 2.01 \\ \\ r = 2.0 cm\)

Diameter = 2 × 2cm

Hope this helps you

Answer:

The answer is 4

Step-by-step explanation:

The answer is 15.To determine the number of different homes that can be built, we need to consider the different combinations of interior plans and home exteriors.

Given that there are three different interior plans and five different home exteriors, we can use the multiplication principle to find the total number of combinations. Multiplying 3 by 5 gives us 15 unique combinations.Let's break it down: For each of the three interior plans, we have five options for the home exterior. This means that for the first interior plan, we can pair it with any of the five home exteriors. Similarly, for the second interior plan, we can also pair it with any of the five home exteriors, and the same applies to the third interior plan.

Using the multiplication principle, we multiply the number of options for each choice together to find the total number of combinations. In this case, it is 3 (interior plans) multiplied by 5 (home exteriors), which equals 15. Therefore, the developer can build 15 different homes by combining the three interior plans with the five home exteriors. In conclusion, the answer is 15.

To learn more about combinations click here: brainly.com/question/31966411

#SPJ11

Contribution margin is the excess of sales revenue over total variable costs. This means that all of the answer choices are correct.

Contribution margin is an important financial metric used in managerial accounting to assess the profitability of a company's products or services. It represents the amount of revenue available to cover fixed costs and contribute to the company's operating income. The contribution margin is calculated by subtracting the total variable costs from the sales revenue. Variable costs are expenses that vary directly with the level of production or sales, such as direct materials, direct labor, and variable overhead. Fixed costs, on the other hand, remain constant regardless of the level of production or sales. By analyzing the contribution margin, managers can make informed decisions regarding pricing strategies, product mix, and cost control measures. A higher contribution margin indicates that a greater portion of each sales dollar is available to cover fixed costs and generate profits. It is important for companies to maintain a healthy contribution margin to ensure their long-term financial viability.

Learn more about Contribution margin here:

https://brainly.com/question/29674918

#SPJ11

Answer:

The cost of refreshments per person.

Answer:

50 exactly 50

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

180 * .2 = 36

20% is the same thing as 1/5 of something, so read the question again,

"36 is 1/5 of what number?"

Multiply 36 by 5 to get 180

Double check yourself by finding 20% of 180

180 * .2 = 36

Hope this helped, queen!

Answer:

\(3.5\times10^3\)

Step-by-step explanation:

\(\dfrac{7 \times10^5}{2 \times10^2}\)

Apply exponent rule:  \(\dfrac{a^{b}}{a^{c}}=a^{b-c}\)

\(\implies \dfrac{7 \times10^3}{2}\)

\(\implies 3.5\times10^3\)

Answer:

35 x 10^2

Step-by-step explanation:

(7 x 100000) / (2 x 100)

700000 / 200

3500

35 x 10^2

Answer:

If a number is a multiple of 2, it may NOT be a multiple of 4. An example would be the number 6.

\(6\div2=3\), but \(6\div4=1.5\).

However, if a number is multiple of 4, it is guaranteed to be a multiple of 2, since 4 itself is a multiple of 2.

Example:

\(8\div4=2\)

This is simply

\(8\div2\div2=2\).

It is a multiple of 2 twice.

Answer:

A store sells six-packs of soda for $3.00 a six pack. If this relationship is graphed with the number of cans of soda on the x-axis and the cost on the y-axis, what is the slope of the graph in dollars per can?

Step-by-step explanation:

Answer:

\((5, -5/2)\)

Step-by-step explanation:

The midpoint of any line segment is the average of the x- and y-values of the two endpoints.

Therefore, the midpoint of \(AB\) is \(((3+7)/2, (-8+3)/2)=(10/2, -5/2)=(5, -5/2)\).

So, the answer is \(\boxed{(5, -5/2)}\) and we're done!