3 1/4 x 1 1/6 as a mixed number in simplest form

The volume of one fish food cubes is: 1/64 ft³

Using the volume formula, the volume of the shipping box is: 15/4 × 3 × 13/4 = 585/16 ft³

The number of fish food cubes that can be packed in the shipping box is: 2,340 fish food cubes.

The volume of a box = length × width × height

A cube has equal side lengths, therefore, the volume of a cube = (side length)³ = side length × side length × side length.

We are given that the fish food cubes have side lengths of 1/4 ft. Therefore:

Volume of fish food cubes = 1/4 × 1/4 × 1/4

Volume of fish food cubes = (1 × 1 × 1)/(4 × 4 × 4)

Volume of fish food cubes = 1/64 ft³

Using the volume formula, we are given the parameters of the box as:

Length (l) = 3¾ = 15/4 ft

Width (w) = 3 ft

Height (h) = 3¼ = 13/4 ft

Therefore,

Volume of shipping box = 15/4 × 3 × 13/4

Volume of shipping box = (15 × 3 × 13)/(4 × 4) = 585/16 ft³

The number of fish food cubes that can be packed in the shipping box = volume of shipping box/volume of one fish food cube

= 585/16 ÷ 1/64

= 585/16 × 64/1

= (585 × 64)/(16 × 1)

= 37,440/16

= 2,340 fish food cubes.

Learn more about volume of a box on:

https://brainly.com/question/14957364

#SPJ1

Answer:

Step-by-step explanation:

Note: In solving our problems below, we will use the value of the coins in dollars which are listed under the third column in the table above. As you can see, the penny has a value of 0.01, the nickel has a value of 0.05, the dime has a value of 0.10, and the quarter has a value of 0.25

[tex] = ( \sqrt{15} - \sqrt{3} )( \sqrt{15} - \sqrt{3} ) \\ = \sqrt{15} ( \sqrt{15} - \sqrt{3} ) - \sqrt{3} ( \sqrt{15} - \sqrt{3} ) \\ = 15 - \sqrt{45} - \sqrt{45} + 3 \\ = 15 + 3 - 2 \sqrt{45} \\ = 18 - 2( \sqrt{9 \times 5} ) \\ = 1 - 2(3 \sqrt{5} ) \\ = 1 - 6 \sqrt{5} [/tex]

ATTACHED IS THE SOLUTION

Answer: B) 90º counterclockwise

Step-by-step explanation:

           First, let us look at clockwise vs counterclockwise. Clockwise is in the direction of a clock, spinning around to the right. Counterclockwise is the opposite, spinning to the left.

     A) 90º clockwise

➜ This is 90 degrees to the right.

     B) 90º counterclockwise

➜ This is 90 degrees to the left

     C) 180º

➜ This is directly flipped.

     D) 270º clockwise

➜ This is 270 degrees to the right.

     E) 270º counterclockwise

➜ This is 270 degrees to the left.

           We will look at the answer options and decide which makes the most sense. This looks to be option B, 90º counterclockwise as shown in the image attached.

The output value of f( -4 ) in the function f(x) = -x² - 4x + 42 is 42

A function is simply a relationship that maps one input to one output. Every x-value can only have one y-value to qualify as a function.

Given the data in the question;

To find the output value of f( -4 ), replace all the occurrence of x with -4 in the function and simplify.

f( x ) = -x² - 4x + 42

f( -4 ) = -(-4)² - 4(-4) + 42

f( -4 ) = -( 16 ) + 16 + 42

f( -4 ) = -16 + 16 + 42

f( -4 ) =  42

Therefore, the output value of f( -4 ) is 42, this forms an ordered pair of (-4, 42).

Lear more about functions here: brainly.com/question/2541698

#SPJ1

The greatest common factor for the given expression is 5z.

What is GCF?
The greatest common factor, which is the product of two or more numbers, is the largest number (GCF). A natural number is created by dividing them by the biggest number (factor). There are a few factors that both share once all the number's factors have been identified. The greatest common factor is the one with the largest number among the common factors. The highest common factor is another name for the GCF (HCF). The highest number that is a factor of all the numbers is known as the greatest common factor of two or more numbers.

Given, the first expression is: y₁ = 70x³z = 5z.14x³ -(i)
Also, the second expression is: y₂ = 45y4z² = 5z.36yz -(ii)
Comparing (i) and (ii), the greatest common factor for y₁ and y₂ is 5z.
Thus, the greatest common factor for the given expression is 5z.

To learn more about greatest common factor, tap on the link below:
https://brainly.com/question/902408

#SPJ9

A difference between two values indicates whether one is smaller, larger, or simply not equal to other. From the set {12, 22, 25}, value of x makes the inequality true 3x < 66 is 12.

Inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to. a week ago.

A difference between two values indicates whether one is smaller, larger, or simply not equal to other.

To know more about inequality visit: https://brainly.com/question/20383699

#SPJ9

22.44% probability that the marbles are red, 77.55% probability that they are blue

[tex] = 16 - ( - 2) \\ = 16 + 2 \\ = 18[/tex]

The positive difference is 18.

Answer:

98 + (-24)

Step-by-step explanation:

Answer: 7/12 =x

Step-by-step explanation:

I WILL USE CROSS MULTIPLICATION

[tex]t(1.3) = 6.5(1.2) \\ 1.3t = 7.8 \\ \frac{1.3t}{1.3} = \frac{7.8}{1.3} \\ t = 6 [/tex]

ATTACHED IS THE SOLUTION

Answer:

180 Degrees for both

they are symmetrical therefore 180 degrees

Equation of the line is x +y = -5.

Equation is a declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

Given Data

coordinates (4,1) and (1,4)

A line is singular if you are aware that it goes through two specific coordinates (x₁ , y₁) and (x₂ , y₂) .The equation for the line is if the points are

[tex]\frac{x - x}{x_{1} - x}[/tex]¹₂ = [tex]\frac{y - y_{1} }{y_{1}- y_{2} }[/tex]

Equating coordinates:

[tex]\frac{x-4}{4-1}[/tex] = [tex]\frac{y-1}{1-4}[/tex]

[tex]\frac{x-4}{3}[/tex] = [tex]\frac{y-1}{-3}[/tex]

Cross multiplying,

-3(x-4) = 3(y-1)

-3x + 12 = 3y -3

3x + 3y = -15

x +y = -5

Equation of the line is x +y = -5.

To learn more about equation, visit:

https://brainly.com/question/10413253

#SPJ9

Answer:

105

Step-by-step explanation:

5 minutes=75 pages

1 minute=15 pages

7 minutes=15*7

7 minutes=105pages

Answer: 105

Step-by-step explanation:

75pg —-> 5mins

X ——> 7 mins

•

•

x= (75 x 7)/5 = 105pages

Answer:

FALSE.

Step-by-step explanation:

Given:

To Find:

Formula used:

Using the above formula, we have

h'(x) = [2x*f(x) - f'(x)*x^2]/(f(x))^2

So, h'(3) = [2*3*2 - 4*(3)^2]/(2)^2

h'(3) = (12-36)/4

h'(3) = -24/4 = -6

So, h'(3) = -6 and not -12.

So, the given value is FALSE.

Answer:

centre =

diameter = ab

radius = (ab)/2

Step-by-step explanation: hope this helps

Answer:8

Step-by-step explanation:if it is 4/5 per hour then you mulitply 4/5 x 10

and 4/5=.8

     .8 x 10=8

The conversion of 98 pounds to kilograms is 44.5 pounds.

This is a question of conversion of weights.

Unitary method

The unitary method is used to find the value of a single unit from a given multiple. For example, the price of 40 pens is Rs. 400, then how to find the value of one pen here.

Also, once we have found the value of a single unit, then we can calculate the value of the required units by multiplying the single value unit.

We know that,

1 pound = 0.45359237 kilograms ≈ 0.454 kilograms

Hence, using unitary method, we can write,

98 pounds = 98*0.454 kilograms = 44.492 kilograms ≈ 44.5 pounds.

To learn more about unitary method, here:-

https://brainly.com/question/22056199

#SPJ1

The coefficient of the variable term in the equation 6s - 3/4 is 6. The variable term is s while the constant term is -3/4

given data

6s-3/4

The coefficient of the variable term is the number multiplying the variable term. The variable term in the equation is "s"

The number in the given equation is 6

The equation could be written as

6 * s - 3/4

from the rewritten equation we can see that 6 is multiplying the variable and hence the coefficient.

The other term in the equation is constant term and this is - 3/4

Read more on equations here: https://brainly.com/question/2972832

#SPJ1

The value of a is 9 and b is 4.5

The measurement of angles and issues relating to angles are covered in the fundamentals of trigonometry. Trigonometry has three fundamental operations: sine, cosine, and tangent. The cotangent, secant, and cosecant are three crucial trigonometric functions that can be derived from these three fundamental ratios or functions. These functions serve as the foundation for all the key ideas in trigonometry.

[tex]sin(60)=\frac{opposite}{hypotenuse} \\\frac{\sqrt{3} }{2}=\frac{\frac{9\sqrt{3} }{2} }{a}\\ a =9\\ tan(60)=\frac{opposite}{adjacent}\\ \sqrt{3}=\frac{\frac{9\sqrt{3} }{2} }{b} \\b=4.5[/tex]

The value of a is 9 and b is 4.5

To learn more about trigonometric function visit :

brainly.com/question/14746686

#SPJ9

Answer: 7 games

Explanation:

1. take the information and put it into a equation (being y=3.25x+3 or f(x)=3.25+3)

2. replace the x with a whole number because you can't bowl half a game.

Ex: f(3)=12.75 or f(6)=22.50

3. The highest you can go without going over your money is 7 games ($25.75) leaving you with a total of 2.25.

Hope this helps :)

Answer:

Is this correct??

if yes then reply

Answer/Step-by-step explanation:

I don't know whether to distribute -6 or multiply 4x - 6 by 3x + 4. So I'll do both.

1. Multiply

(4x - 6)(3x + 4)

4x (3x + 4) - 6 (3x + 4)

12x² + 16x - 18x - 24

12x² - 2x - 24

2. Distribution

4x - 6(3x + 4)

4x - 18x - 24

-14x - 24

I hope either of my answers helps!

Answer:

I believe it should be 5/6

Step-by-step explanation:

Here's why, the probability of getting a B, or an even number is 3/6 since there are 3 even numbers on a dice. The probability of getting a multiple of 3 is 2/6 since the only multiples of 3 are 1 and 3. Add the 2 together to get 5/6. Hope this helps.

Answer:

[tex]\text{P}(B \text{ or }C)=\dfrac{5}{6}[/tex]

Step-by-step explanation:

Mutually Exclusive Events

For two events, A and B, where A and B are mutually exclusive:

[tex]\boxed{\text{P}(A \text{ or }B)=\text{P}(A)+\text{P}(B)}[/tex]

Probability distribution table:

[tex]\begin{array}{|c|c|c|c|c|c|c|c|}\cline{1-7} x & 1 & 2 & 3 & 4 & 5 & 6 \\\cline{1-7} \text{P}(X=x)\phantom{\dfrac11}&\frac{1}{6}&\frac{1}{6}&\frac{1}{6}&\frac{1}{6}&\frac{1}{6}&\frac{1}{6}\\\cline{1-7}\end{array}[/tex]

where X is the score on a fair, six-sided dice.

P(B or C) means "the probability of rolling an even number or a multiple of 3".

As an even number of a fair, six-sided dice can never be a multiple of 3, the two events B and C are mutually exclusive.

Calculate the probabilities for events B and C.

Event B

Rolling an even number.

[tex]\begin{aligned}\implies \text{P}(X \text{ is even})&=\text{P}(2 \text{ or }4\text{ or }6)\\\\&=\text{P}(X=2)+\text{P}(X=4)+\text{P}(X=6)\\\\& = \dfrac{1}{6}+ \dfrac{1}{6}+ \dfrac{1}{6}\\\\&=\dfrac{3}{6}\end{aligned}[/tex]

Event C

Rolling a multiple of 3.

[tex]\begin{aligned}\implies \text{P}(X \text{ is multiple of 3})&=\text{P}(3 \text{ or }6)\\\\&=\text{P}(X=3)+\text{P}(X=6)\\\\& = \dfrac{1}{6}+ \dfrac{1}{6}\\\\&=\dfrac{2}{6}\end{aligned}[/tex]

Solution

[tex]\begin{aligned}\implies \text{P}(B \text{ or }C)&=\text{P}(B)+\text{P}(C)\\\\& = \dfrac{3}{6}+\dfrac{2}{6}\\\\& = \dfrac{5}{6}\end{aligned}[/tex]

All the values that we can put in the given box so that A is a polynomial,

[tex]A=(2x^{2} +5-7)\\A =2(x^{2} -1)\\A=2(x+1) (x-1)[/tex]

[tex]x[/tex] can take any value except ±1.

To learn more, https://brainly.com/question/20121808

#SPJ4

The number of tiles measuring 20cm by 50cm  that are needed to completely cover a wall 4m by 8m is :320.

First step is to convert the Meters to Centimeters

4m = 400cm

8m = 800 cm

Hence,

4m by 8m = 400 cm × 800 cm

4m by 8m = 320,000 cm²

Second step is to determine the how many tiles are needed

Number of needed tiles =  320,000 cm² / ( 20 cm × 50 cm)

Number of needed tiles =  320,000 cm² /1,000 cm²

Number of needed tiles =  320

Therefore 320 tiles are needed.

Learn more about number of tiles needed here: https://brainly.com/question/26859001

#SPJ1

Bunting has been hung in a straight line between a wall and a house, then the height, P, of the house P = 6.61 m.

Third angle in a triangle = 180 - (90+36)

= 180-126

= 54°

So,

Third angle in a triangle = 54°

We can use Sin rule,

Then, we get,

[tex]\frac{Sin A}{BC} =\frac{Sin B}{AC} =\frac{Sin C}{AB}[/tex]

Based on the given condition,

We can write,

Sin A = 54°

Sin B = 36°

BC = 5.47

Then,

Sin 54°/5.47 = Sin 36°/AB

Hence, Sin 54° = 0.8090

Sin 36° = 0.5877

[tex]\frac{0.8090}{5.47} =\frac{0.5877}{AB}[/tex]

AB = [tex]\frac{0.5877 * 5.47}{0.8090}[/tex]

AB = [tex]\frac{3.2147}{0.8090}[/tex]

AB = 3.97 m

So,

Height , P = 2.64 + 3.97

P = 6.61 m.

Therefore,

We can use triangle formula, then the height, P, of the house P = 6.61 m.

To learn more about information visit Triangle :

brainly.com/question/28826103

#SPJ1