Tyler has a shoe box in the shape of a right rectangular prism. He is filling the box with cubes that are each 1 cubic inch in order to find the volume of the box. He finds that 48 cubes completely fill the bottom of the box and that he can put 2 more layers of cubes in the box. What is the volume of the box in cubic inches?

Answer:

384

Step-by-step explanation:

480x20%=96

480-96=384

Answer:600

Step-by-step explanation:

We have, 125% * x = 750

Multiplying both sides by 100 and dividing both sides by 125

we have x = 750 * 100/125

you then get X=600

Answer:x=600

Step-by-step explanation: Multiplying both sides by 100 and dividing both sides by 125

The width of the rectangle, w, is: 19 inches.

The perimeter of a rectangle is the sum of all its four sides which is calculated using the formula:

Perimeter = 2(length + width).

Given:

Perimeter = 144 inches

Width = w inches

Length = 3w - 4 inches

Thus:

2(3w - 4 + w) = 144

2(4w - 4) = 144

8w - 8 = 144

8w = 144 + 8

8w = 152

8w/8 = 152/8

w = 19

Thus, the width of the rectangle, w, is: 19 inches.

Learn more about perimeter of rectangle on:

https://brainly.com/question/24571594

#SPJ1

James defines that an angle is a figure consisting of two rays.

The statement of James is not precise enough because he should specify that the rays must be collinear.

The two rays coming from the same point will form collinear rays which will form an angle at the end point. The common end point is the vertex of the angle. And each ray will known as an arm of an angle.

From the figure, we can see that the vertex is the corner of the angle, i.e.,  O is the vertex in the given figure.

OA and OB are the two arms of the angle. The line OB is also known as reference line which is the line where an angle is drawn.

Also, the line OA will be considered as terminal line. Terminal line is the side up to which an angle measurement done.

Know more about An Angle: -https://brainly.com/question/24301874

#SPJ9

Answer: We have m = −3/2 as the slope and b = 150 as the y-intercept.

Step-by-step explanation:

Given data,

The slope of the following line 3x+2y=300

Define Slope :

Slope = (Change in height)/(Change in width) Or: Slope = rise/run. If y represents the vertical direction on a graph, and x represents the horizontal direction, then this formula becomes: Slope = (Change in y)/(Change in x)

The equation of a line presents the relationship between the components of a line in a certain coordinate system. To construct the equation of the line, we must take note of the parameters such as the slope, a point at which the line passes through, and the intercepts.

We solve for the slope, m, and the y-intercept, b, for the given line. We do this by rewriting the expression into the slope-intercept form,

                                y = mx + b

We proceed with isolating y in the given equation.

                                3x + 2y = 300

                                 2y = - 3x + 300

                                  y = (-3x + 300) / 2

                                  y = (-3/2) x + 300/2

                                  y = (-3/2) x + 150

Therefore, we have m = −3/2 as the slope and b = 150 as the y-intercept.

So, slope = -3/2

      b = 150

Learn more about event correlation here: brainly.com/question/16958863

#SPJ9

The range of a function y = x² + 9 is y ≥ 9

A function is a mathematical expression rule or law that defines the relationship between one variable (dependent variable) and another (independent variable)

The range of a function is the set of output values of that function.

Given the function y = x² + 9, to find the range of the function, we need to find the values of y for which the function is valid.

Making y subject of the formula, we have

x = √(y - 9)

So, the function is valid for √(y - 9) ≥ 0

⇒ y - 9 ≥ 0

⇒ y ≥ 9

So, the range of a function is y ≥ 9

Learn more about range of a function here:

https://brainly.com/question/27994638

#SPJ1

It should be noted that writing 762,508 in expanded form using exponents will be 762,508 = 700000 + 60000 + 2000 + 500 + 8.

It should be noted that exponents simply means expanded notation. It's the way of writing to see the individual digits.

Therefore, writing 762,508 in expanded form using exponents will be:

762,508 = 700000 + 60000 + 2000 + 500 + 8

Therefore, it should be noted that writing 762,508 in expanded form using exponents will be 762,508 = 700000 + 60000 + 2000 + 500 + 8

Learn more about exponents on:

brainly.com/question/819893

#SPJ1

Answer:4

5

÷

10

Rewrite the division as a fraction.

4

5

10

Multiply the numerator by the reciprocal of the denominator.

4

5

⋅

1

10

Cancel the common factor of

2

.

Tap for more steps...

2

5

⋅

1

5

Multiply

2

5

by

1

5

.

2

5

⋅

5

Multiply

5

by

5

.

2

25

The result can be shown in multiple forms.

Exact Form:

2

25

Decimal Form:

0.08

Step-by-step explanation:

The fraction is 12/35.

From the information, it was stated that Manuel does 3/7 of the task while Carlos did 4/5 of what Manuel did.

Therefore, the fraction that was done by Carlos will be:.

= 4/5 × 3/7

= 12/35

The fraction is 12 / 35.

Learn more about fractions on

brainly.com/question/17220365

#SPJ1

????????????????????????????????

The dimensions of the rectangle are 8 ft by 5.5 ft.

According to the statement,We have to find that the dimensions of the rectangles.

So, For this purpose, we know that the

A Rectangle may be a four sided-polygon, having all the interior angles adequate 90 degrees.

From the given information:The length of a rectangle is 3 ft but double the width, and therefore the area of the rectangle is 44.

Then

The formula for the world of a rectangle may well be a = L(length) × W(width)A = L × W

Plug in the information:A = 44, L = 2W - 3

b/c but means switch the order before subtracting, W = W

44 = (2W - 3)×W

44 = 2W² - 3W

And then

2W² - 3W - 44 = 0

so,

Factoring: (2W - 11)(W + 4) = 0

2W - 11 = 0 solves to W = 5.5

W + 4 = 0 solves to W = -4

So W = 5.5 and L = 2(5.5) - 3 = 8.

So, The dimensions of the rectangle are 8 ft by 5.5 ft.

Learn more about Rectangle here

https://brainly.com/question/19819849

#SPJ9

I think they're for posting questions

Step-by-step explanation:

x = y - 3

4x = 6y + 10

let's multiply the first equation by -4 and then add both equations :

-4x = -4y + 12

4x = 6y + 10

--------------------

0 = 2y + 22

2y + 22 = 0

2y = -22

y = -22/2 = -11

x = y - 3 = -11 - 3 = -14

Two ways to do this! There are some more but these are the most intuitive.

Way 1:  Factoring

You can factor this equation into one with parentheses. A way I like thinking of doing this is by seeing if you can split the coefficient of the middle term into the sum of two numbers, which, when multiplied with each other, equal the third term.  To see what I mean, look at the equation you gave.

[tex]x^2 - 18x + 77 = 0[/tex]

[tex]x^2 - 7x - 11x + 77 = 0[/tex]

We notice that when -7 and -11 are multiplied, they equal 77. This means we can factor the equation! As follows:

[tex](x-7)(x-11)=0[/tex]

If you want to see why this works, cross-multiply out [tex](x-7)(x-11)[/tex]. You should see that it is equal to [tex]x^2 - 7x - 11x + 77[/tex].

From here, you should be able to see the solutions are [tex]x = 7, 11[/tex].

Way 2:  Complete the Square

We can do something like this:

[tex]x^2 - 18x + 77 = 0\\x^2 - 18x + 81 = 4\\(x-9)^2 = 4\\x-9 = \pm\sqrt{4}\\x = 9\pm 2\\x = 7, 11[/tex]

Essentially, what we are doing is we are adding / subtracting from both sides of the equation so the left side becomes a perfect square of some term [tex](x-a)[/tex].  From there, we can just solve for [tex]x[/tex].

Hope this helps you, please let me know if anything confuses you.

Based on the amount deposited by Nancy into the account and the interest it paid, the ending balance after 1 year is $1,220.40

The ending balance of the amount that Nancy deposited which was $1,200 is based on the interest compounded on the amount over the investment year.

The ending balance can be found as:
= Amount deposited x ( 1 + rate) ^ number of years

Solving for the ending balance gives:
= 1,200 x (1 + 1.7%) ^ 1

= 1,200 x 1.017

= $1,220.40

Find out more on compounding interest at https://brainly.com/question/24274034

#SPJ1

The probability of getting no. less than 11  after 1 spin is  0.833 .

An experiment is a situation involving chance or probability that leads to results called outcomes.

An outcome is the result of a single trial of an experiment.

An event is one or more outcomes of an experiment.

Probability is the measure of how likely an event is.

P(A) = The Number Of Ways Event A Can Occur /(The total number Of Possible Outcomes).

The probability of an event depends on the number of favorable (occurrence of the desired event) outcomes in comparison to the total number of outcomes.

We define the probability of an event by dividing the favorable outcomes by the total number of outcomes, as shown below.

P = n(E) / n(S)

Where,

n(E) = The favorable number of outcomes

n(S) = The total outcomes

Given Data:

The spinner rotates 1 time

find the probability of getting P(number> 11) from numbers 1 to 12.

n(E) =  10

n(S) = 12

P(A) = 10 /12

p(A) = 5/6

p(A) = 0.8333..

Thus, the probability of getting no. less than 11  after 1 spin is  0.833

To learn more about probability

visit - https://brainly.com/question/10734660

#SPJ9

Answer: u have to subtract 78-32  and divide by 100

Step-by-step explanation:

Answer:

Step-by-step explanation: the coat was reduced by 12 dollars for 3 months so take 12x3= 36. So the coat was reduced by 36 dollars.

The equations of each line are:

a. y = -3x + 3

b. y = -2/3x - 3

In slope-intercept form, the equation of a line is written as, y = mx + b, given that:

Note: the slope values of parallel lines are the same.

a. The slope of y = -3x - 1 is, -3. The line that is parallel to it will have the same slope (m) of -3.

Substitute m = -3 and (x, y) = (2, -3) into y = mx + b to find b:

-3 = -3(2) + b

-3 = -6 + b

-3 + 6 = b

3 = b

b = 3

Substitute b = 3 and m = -3 into y = mx + b

y = -3x + 3

b. Rewrite 2x + 3y = 6 in the slope-intercept form

3y = -2x + 6

y = -2/3y + 2

The slope of y = -2/3y + 2 is, -2/3. The line that is parallel to it will have the same slope (m) of -2/3.

Substitute m = -2/3 and (x, y) = (0, 5) into y = mx + b to find b:

5 = -2/3(0) + b

-3 = 0 + b

-3 = b

b = -3

Substitute b = -3 and m = -2/3 into y = mx + b

y = -2/3x - 3

Learn more about the equation of a line on:

https://brainly.com/question/13763238

#SPJ1

The correct option is third graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We have the function

f(x)= |x|

The third graph represent the f(x)= |x|.

This is because the absolute value equations grow at a constant rate.

Also, they are absolute so they are also positive.

Learn more about graph here:

https://brainly.com/question/23652748

#SPJ1

The relationships represent proportional relationships and the constant of proportionalities are 5/7 and 12

Does it represent a proportional relationship?

Yes, the graph represents a proportional relationship

This is so because the graph is a linear equation and it passes through the origin

How to find the constant of proportionality (K=Y/X)

On the graph, we have the following point

(X, Y) = (28, 20)

So, we have

K = 20/28

Evaluate

K = 5/7

Here, we have

Y = K * X

This gives

Y = 5/7X

Does it represent a proportional relationship?

Yes, the table represents a proportional relationship

This is so because the table is a linear equation and it has a value (0, 0)

How to find the constant of proportionality (K=Y/X)

On the graph, we have the following point

(X, Y) = (5, 60)

So, we have

K = 60/5

Evaluate

K = 12

Here, we have

Y = K * X

This gives

Y = 12X

Read more about linear equations at

https://brainly.com/question/14323743

#SPJ1

Yes,  the relation is a function.

What does the term "relation function" mean?

What is a relation simple definition?

H={(6, - 2), (5,- 2), (4, -2), (3, - 2), (2, - 2)}

In a function, an x value can never repeat.

This is basically the only rule (that I know of), so, the given values can represent a function.

Learn more about function

brainly.com/question/12431044

#SPJ9

Answer:

If the debt of 24 trillion was equally divided by 300 million people, it's not really an estimation. You have an exact answer.

You would just divide it so each person owes $80,000

On a number line, 3 + (-4) is -1 units from 3 in the left direction.

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values (integers) that are placed at equal intervals along its length.

This ultimately implies that, a number line can be used to represent all negative numerical values (integers) to the left of 0 and all positive numerical values (integers) to the right of 0

Evaluating, we have:

3 + (-4) = 3 - 4 = -1.

Read more on positive integers here: https://brainly.com/question/17305372

#SPJ1

A. The probability that there are exactly 4 pe ople with Type O+ blood in a sample of 10 peopl e.

B. The probability of exactly 3 heads in 6 flips of a coin.

C. The probability that the accumulated annual Yainfall in a certain city next yeay, younded t o the nearest inch, will be 18 inches.

D.The probability that a randomly selected wo man's height is 67 inches or less

So,the correct option is -

D.The probability that a randomly selected wo man's height is 67 inches or less

LINK-

https://www.coursehero.com/file/p42233rt/29

#SPJ9

The expression is simplified to 1 over c raised to the twentieth power. Option C

The index form of a number can be defined as the number written as an exponential expression.

It is expressed as a single number raised to another number.

Another name for index form is standard form or scientific notation.

Index notation is also a way of representing variables or constants multiplied by themselves a number of times.

Example of index forms are:

a²

b³

c²

From the information given, we have to simplify

(c^4)^−5

Using the rule of indices, we have to multiply the powers

c^-20

Thus, the expression is simplified to 1 over c raised to the twentieth power. Option C

Learn more about index form here:

https://brainly.com/question/15361818

#SPJ1

Answer:

1 over c raised to the twentieth power

Step-by-step explanation:

The monthly payment become $852. Thus , option C is correct option.

According to the statement

We have to find that the monthly repayment.

So, For this purpose, we know that the

The monthly payment is the amount paid per month to pay off the loan in the time period of the loan.

From the given information:

You have decided to buy a new home and the bank offers you a 30 year fixed loan at 5.5% on a balance of $150,000.

Then

we know that the:

Monthly payment = Amount / discount factor

And discount factor = 1-(1+i)^-n / i

Then

M = A*i/1-(1+i)^-n

Where, A=$150000

r=5.5%=0.055

i = 0.555/12

i = 0.004

And t = 30 year

n = 30*12

n = 360

Substitute all the values,

M = 150000*0.004/ 1-(1+0.004)^-360

M = 687.5 / 1-0.192

M = 687.5 / 0.80722

M = 851.7

Approximately, Monthly payment is $852.

So, The monthly payment become $852. Thus , option C is correct option.

Learn more about monthly payment here

https://brainly.com/question/2021001

#SPJ9

The figure 0.12 as given in the task content based on the given data can be interpreted as; the fraction of the books in the library that are how-to books on electronics.

It follows from the task content that the best interpretation of 0.12 is to be determined.

On this note, since three-tenths of the books in the school library are how-to books, and of those, 0.4 deal with electronics;

The statement above therefore means that the fraction of books which are how-to books and deal with carpentry can be evaluated as;

= (3/10) × 0.4

= 0.3 × 0.4

= 0.12.

Ultimately, The figure 0.12 as given in the task content based on the given data can be interpreted as; the fraction of the books in the library that are how-to books on electronics.

Read more on fractions;

https://brainly.com/question/3612844

#SPJ1

The teacher will make a decision like this because D. It is easier to compare measurements when using the same unit system.

It should be noted that in this case, the students are measuring the masses of several rocks and they have a scale that can show readings in pounds or kilograms. The teacher requires that they all make their measurements in kilograms.

It should be noted that the teacher will make a decision like this because it is easier to compare measurements when using the same unit system.

Therefore, the correct option is D.

Learn more about kilograms on:

brainly.com/question/1221272

#SPJ1