Find the value of x
a. 13 b. 14/5 c. 5 d. 8

The volume of a stack of 9 books is 1368.75 cubic inches.

To find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.

Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.

Therefore, the volume of the stack of 9 books is:

More on volume of stacked books can be found here: https://brainly.com/question/1058070

#SPJ1

Explanation

We have an expression given as

To find the equivalent value, we will make use of the fact that when two negative signs divide or multiply each other, the resulting value is always positive

Thus

The simplified answer is

In our case, we will have a positive outcome

Therefore, the correct answers will be options A and B

The number of hours if there are that many hours would be 8 classes

The first thing to do is to convert to improper fractions :

6 2 / 3 = 6 + 2 / 3 = 18 / 3 + 2 / 3 = 20/3 hours

Then, the total number of classes taken, given the time for each class and the number of hours in the day, is:

= Total hours / Length of each class

=  ( 20/3 ) / ( 5/6 )

= ( 20 /3 ) × ( 6 / 5 )

= ( 20 × 6 ) / ( 3 × 5 )

= 120 / 15

= 8 classes

In conclusion, there are 8 classes in a 6 2 / 3 hour day.

Find out more on classes at https://brainly.com/question/29298423

#SPJ1

Answer:

450,000

Step-by-step explanation:

The first digit has 9 choices

Digits 2 through 5 each have 10 choices

Digit 6 has 5 choices.

9 * 10 * 10 * 10 * 10 * 5 = 450,000

Based on the compound interest, Erica owes a total of $10865 after 5 years

The given variables can be represented as:

The compound interest formula is given as

A = P(1 + r/n)^nt

Also from the question, we have

n = 12

This is so because the loan is compounded 12 times in a year as a result of being compounded monthly

Solving further, we replace the variables with their values in the above equation

A = 5300 * (1 + (8%/12))^(6*12)

Evaluate the expression

A = 10865

Hence, the amount owed is $10865

Read more about compound interest at:

https://brainly.com/question/2455673

#SPJ1

In linear equation , 2 Hours long will it take 1 person to complete jigsaw puzzle.

What is linear equation give example?

time = rate₁  + rate₂

       = 1 . 1 + 1 . 1

       = 1 + 1

        = 2  hours

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

SOLUTION

We want to solve

To do this, change the mixed fraction into improper fraction.

We say, 2 multiplied by 12, then plus 1. We write the result as the numerator over the denominator which is 2. That is

We then multiply by 4, we have

Hence the answer is 50

Answer:

5 + 5 =10

Step-by-step explanation:

it should have been 4 +6 = 10

The volume of a cubic foot is equal to 29.9220779 US liquid quarts. This conversion factor is based on the definitions of the cubic foot.

So the volume of a cubic foot is equal to 29.9220779 US liquid quarts. This conversion factor is based on the definitions of the cubic foot as a unit of volume equal to a cube with sides that are one foot in length and the quart as a unit of volume in the US customary system.

The quantity of cubic feet can be multiplied by 29.9220779 to get the conversion to quarts. For instance, if you have a container with a 2 cubic foot volume, the quantity of quarts in that container would be:2 cubic feet multiplied by the US liquid quart density of 29.9220779 gives 59.8441558 US quarts. The volume of a cubic foot is equal to 29.9220779 US liquid quarts. This conversion factor is based on the definitions of the cubic foot as a unit of volume equal to a cube with sides that are one foot in length and the quart as a unit of volume in the US customary system.

Learn more about volume here:

https://brainly.com/question/1578538

#SPJ4

Answer:

237.87 m/s

Step-by-step explanation:

This is a projectile question.

We use the equation for the range of a projectile since we are given the horizontal distance and angle of projection.

So, R = U²sin2θ/g where R = range, U = initial speed of rocket, θ = projection angle and g = acceleration due to gravity = 9.8 m/s².

Since it is given that the water body is 5 km away, R = 5 km = 5000 m and θ = 30°

So, making U subject of the formula, we have that

U = √(gR/sin2θ)

So, substituting the values of the variables, we have

U = √[9.8 m/s² × 5000 m/sin(2 × 30°)]

U = √[49000 m²/s²/sin60°]

U = √[49000 m²/s²/0.8660]

U = √[56,580.33 m²/s²]

U = 237.87 m/s

So the minimum speed of the rocket necessary to make sure the rocket reaches the water surface is U = 237.87 m/s

Answer:

Thank you very much :3

Have a great day!

also 1 + 1 is 2

Answer:

yeah I like that your free points and thanks

The Square root of 1042441 is approximately 1021.

The square root of 1042441 by the long division method, we'll break down the process into steps:

Step 1: Group the digits from right to left into pairs starting from the decimal point (if present). For this example, the number is 1042441, and we group it as 10 42 441.

Step 2: Find the largest perfect square less than or equal to the first group of digits (10 in this case). The largest perfect square less than or equal to 10 is 9.

Step 3: Determine the largest possible digit that can be placed as the quotient digit for the first group. Divide 10 by 9, which gives a quotient of 1 and a remainder of 1.

Step 4: Bring down the next group of digits (42) and append it to the remainder obtained in the previous step. The new dividend becomes 142.

Step 5: Double the quotient digit obtained in Step 3 (1), resulting in 2. Assume this as the trial divisor.

Step 6: Find the largest digit that can be placed as the next quotient digit such that when multiplied by the trial divisor (2), it gives a product less than or equal to the new dividend (142). The largest digit in this case is 7, as 2 × 7 = 14.

Step 7: Multiply the quotient digit (7) by the trial divisor (2) to get the product (14) and subtract it from the new dividend (142 - 14 = 128).

Step 8: Bring down the next group of digits (441) and append it to the remainder obtained in the previous step. The new dividend becomes 128441.

Step 9: Double the quotient obtained so far (17) to get the trial divisor (34).

Step 10: Determine the largest digit that can be placed as the next quotient digit such that when multiplied by the trial divisor (34), it gives a product less than or equal to the new dividend (128441). Trial and error reveals that the largest digit is 3, as 34 × 3 = 102.

Step 11: Multiply the quotient digit (3) by the trial divisor (34) to get the product (102) and subtract it from the new dividend (128441 - 102 = 128339).

Step 12: Repeat steps 9 to 11 until all the digits are exhausted or until you reach the desired level of accuracy.Continuing this process, we find that the square root of 1042441 is approximately 1021.

To know more about  Square root.

https://brainly.com/question/428672

#SPJ11

The shape in the figure is a composite shape with two triangles, and the inequality is 4 < x < 12

In the given figure, the side lengths AB and AD are equivalent.

This means that, we have the following angle relationship:

CAD < CAB

Substitute known values

6x - 24 < 48

Add 24 to both sides

6x < 72

Divide both sides by 6

x < 12

Also, we have the following angle relationship:

CAD > 0

Substitute known values

6x - 24 > 0

Add 24 to both sides

6x < 24

Divide both sides by 6

x < 4

This means that:

x < 4 and x < 12

Combine both inequalities

4 < x < 12

Hence, the inequality is 4 < x < 12

Read more about triangles at:

https://brainly.com/question/21735282

#SPJ1

Answer:

x^2 + 9x + 4 + 9/x - 4

Step-by-step explanation:

Simplify

Answer:(a+b)/c ×100

Step-by-step explanation:

Let the number be "x"

According to the question,

X×C% = a+b

>> X × C/100 = a+b

So, x =(a+b)/c × 100

Answer:

Multiply x + y = 3 by 3 and add it to -3x - 2y = -7

Step-by-step explanation:

When using elimination to solve a system of equations, you multiply one equation by some number. The reason for doing this is that when you add it to the second equation, you want one variable to cancel out. When one variable cancels out (in this case x), you can solve for the other variable (in this case y). I will show this:

3(x + y = 3) = 3x + 3y = 9

   3x +  3y =  9

+ -3x + -2y = -7

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

              y  = 2

Now, knowing that y = 2, you can substitute y=2 into either equation to solve for x.

-3x - 2(2) = -7

-3x -4 = -7

-3x = -3

x = 1 | to double check (1, 2) as your answer plug these values into both equations

Finding this solution would not have been possible if not for cancelling out the x's above. The other three are wrong because none of the other options cancels out one of the variables.

Answer:

B

Step-by-step explanation:

9514 1404 393

Answer:

  C.  12 m wide

Step-by-step explanation:

We note that the difference in dimensions is 4 m. This difference will remain the same when both sides are increased by the same amount. If x represents the short side, then the larger area is ...

  x(x +4) = 192

  x^2 +4x + 4 = 196 . . . . add 4 to complete the square

  (x +2)² = 14²

  x = 14 -2 = 12 . . . . . . . . positive square root

The new garden will be 12 m wide.

Answer:

Step-by-step explanation:

we are going to apply the part to all method to solve this problem

Step one:

Given that the ratio of pears to banana is 6:5

the total ratio is 6+5= 11

and the total fruit is 44

Step two:

let the number of banana be x

applying the part to all method

5/11=x/44

cross multiply we have

11x=44*5

11x=220

divide both sides by 11

x=220/11

x=20

the bananas are 20 in numbers

Answer:

432

Step-by-step explanation:

They arrive at the same answer because Jenna used the distributive property while Mia used the order of operations PEMDAS. In a lot of aspects of math, there are many approaches to reach the same answer.

Jenna's approach makes more sense, in my opinion, because when we multiply large numbers we're going to use the distributive property anyway. So why not just have it written down instead of done mentally in our head.

As a visual way to see why this works, check out the diagram below. We have a rectangle with height 5. The length of 34 is broken up into 30 and 4, so 34 = 30+4.

The blue portion has area of 5*30 = 150, while the red portion has area of 5*4 = 20. The two regions combine to 150+20 = 170.

So this diagram shows why Jenna's method is valid. Mia's method is valid as well, but again, we'll use some form of the distributive property to multiply 5 and 34. The only advantage that Mia has is that she uses one less written step compared to Jenna.

A completely randomized model in a single factor study means that the assignment of treatments is completely random, with no underlying pattern or bias.

When analyzing the difference in means between treatments in a single factor, a completely randomized model means that each individual or unit in the study has an equal chance of being assigned to any of the treatment groups.

In other words, the assignment of treatments is completely random, with no underlying pattern or bias.

This type of experimental design is important because it helps to minimize the effects of confounding variables and other sources of bias.

By randomly assigning treatments to study participants, researchers can be confident that any observed differences in the outcome variable are due to the treatment itself, rather than to other factors that may vary between the groups.

In statistical analysis, a completely randomized model can be used to test whether there are significant differences in the means between the different treatment groups.

This can be done using methods such as analysis of variance (ANOVA) or t-tests, depending on the number of treatment groups and the type of outcome variable being measured.

Overall, the completely randomized model is an important tool for ensuring that the assignment of treatments in a single factor study is unbiased and that the resulting data are suitable for statistical analysis.

Learn more about completely randomized model.

brainly.com/question/7221684

#SPJ11

The car with the speed of 50 Km/h travels the fastest.

We have given with three choices for selecting the fastest speed from them. The three choices are

First choice is 50 Km/h.

Second Choice is  car b travels a distance of d kilometers in h hours, based on the equation 55 h = d , h, equals, d.. So from this be can conclude that this car is moving with the speed of (1/55)km/h.

Third choice is  car c travels 135 kilometers in 3 hours. So from this be can conclude that this car is moving with the speed of (135/3) Km/h i.e., 45 Km/h.

So, from the given choices we can conclude that the car with the speed of 50 Km/h travels the fastest.

To know more about Speed refer to the link:

https://brainly.com/question/13943409

#SPJ4

Answer:

6/8

Step-by-step explanation:

I answered this math question on edge and 100%.

Answer:

all the options are incorrect

Given - 20 teachers

- 705 students

To find - ratio of teachers to students

20/705

20 : 705 .

The volume of the solid enclosed by the two paraboloids is approximately 1365.34π cubic units.

Here, we have to find the volume of the solid enclosed by the two paraboloids \(y = x^2 + z^2\) and \(y = 32 - x^2 - z^2\),

we need to set up a triple integral in cylindrical coordinates.

In cylindrical coordinates, we have:

x = r cos(θ)

z = r sin(θ)

y = y

The limits of integration for r, θ, and y will depend on the region of integration.

First, let's find the intersection points of the two paraboloids:

\(x^2 + z^2 = 32 - x^2 - z^2\\2x^2 + 2z^2 = 32\\x^2 + z^2 = 16\)

This represents a circular region with radius r = 4 in the x-z plane.

Now, let's find the limits of integration for r, θ, and y:

For r:

Since the circular region has a radius of 4, the limits of r will be from 0 to 4.

0 ≤ r ≤ 4

For θ:

The intersection points form a complete circle in the x-z plane, so the limits of θ will be from 0 to 2π.

0 ≤ θ ≤ 2π

For y:

The lower paraboloid is given by \(y = x^2 + z^2\), and the upper paraboloid is given by \(y = 32 - x^2 - z^2\).

The limits of y will be from the lower paraboloid to the upper paraboloid.

\(x^2 + z^2 \leq y \leq 32 - x^2 - z^2\)

Now, we can set up the triple integral to find the volume V:

V = ∫∫∫ (y) dy dθ dr

V = ∫∫∫ \((r^2 cos^2(\theta) + r^2 sin^2(\theta)) dy d\theta dr\)

V = ∫∫∫ \((r^2) dy d\theta dr\)

V = ∫∫ \((r^2) y|_{(x^2+z^2)}^{(32-x^2-z^2)} d\theta dr\)

V = ∫∫ \((r^2) (32 - 2x^2 - 2z^2) d\theta dr\)

V = ∫ \((32r^2 - 2r^2(x^2 + z^2)) d\theta dr\)

V = ∫ \((32r^2 - 2r^2r^2) d\theta dr\)

V = ∫ \((32r^2 - 2r^4) d\theta dr\)

Now, integrate with respect to θ from 0 to 2π:

V = ∫(0 to 2π) ∫(0 to 4) \((32r^2 - 2r^4)\) dr dθ

Now, integrate with respect to r from 0 to 4:

V = ∫(0 to 2π) \([(32/3)r^3 - (1/3)r^5] |_0 ^4\) dθ

V = ∫(0 to 2π) \([(32/3)(4^3) - (1/3)(4^5)]\) dθ

V = ∫(0 to 2π) [(32/3)(64) - (1/3)(1024)] dθ

V = ∫(0 to 2π) [682.67] dθ

V = 682.67 * (2π) - 682.67 * (0)

V = 1365.34π cubic units

Therefore, the volume of the solid enclosed by the two paraboloids is approximately 1365.34π cubic units.

To know more about Paraboloids visit:

brainly.com/question/14307074

#SPJ12

Step-by-step explanation:

consider the number of Q = X

then 15% × X = 3

then (15 ÷100) X = 3

X = 3 × ( 100÷ 15 ) = 20 Q ( :

Answer:

10 is B. 11 is D

Step-by-step explanation:

Fungi reproduce asexually and are heterotrophs. And the nucleus is the “brain of the cell.