3 friends share 2 pizzas evenly. About how much pizza will each friend get?

Answer:

15.625 m³

Step-by-step explanation:

Volume of the cube

= side³

= (2.5 m)³

= 15.625 m³

Answer:

4.22

Step-by-step explanation:

2 + 0.42 + 1.8 = 4.22

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Answer:

The sum of 2 + 0.42 + 1.8 is 4.22

hope it helps :)

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

3/5 of the T-shirts of the shop are on sale

5/8 of those on sale are blue

1/3 of the blue shirts on sale are medium size.

First calculate how many of the shirts on sale are blue:

25/24 of the shirts on sale are blue

Then divide that number by three to know how many are medium size:

25/72 are blue and medium size

Answer:

80 hours

Step-by-step explanation:

let d represent doug, let l represent laura

first, set up a system of equations representing the problem:

since doug spent 10 less than twice the hours laura did, and we know that the total amount of hours they spent together is 230:

l=2d+10

d+l=230

then solve:

*first i rearranged the equations so i can solve this system of equations using elimination method*

l-2d=10

l+d=230

*subtract*

3d=240

d=80

so, doug spent 80 hours in the lab

Answer:

6

Step-by-step explanation:

\(45 \: min = 0.75 \: hour\)

\(0.75 * 8 = 6 \: hours\)

Answer:

the only answer that makes sense would be the length

Answer:

$9810.59

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Simple Interest Rate Formula: \(\displaystyle A = P(1 + r)^t\)

Step-by-step explanation:

Step 1: Define

Identify variables

P = 7300

r = 3% = 0.03

t = 10

Step 2: Solve for A

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

There are 48 students.

To find the number of students, we need to divide the total amount of clay by the weight of each portion.

We are given that there are 30kg of clay. We are also told that the clay is divided into portions of 5/8kg each.

To divide one quantity by another, we can use the following formula:

quantity ÷ weight per portion = number of portions

In this case, we can write:

30kg ÷ (5/8)kg per portion = number of portions

30kg × (8/5) portions per kg = number of portions

Simplifying, we get:

48 portions = number of portions

Therefore, there are 48 portions of clay in total. To find the number of students, we need to divide the number of portions by the number of portions per student.

Since each portion weighs 5/8kg, we can write:

1 portion = 5/8kg

number of portions per student = 1 portion/student

So, the number of students would be:

48 portions ÷ 1 portion per student = 48 students

Therefore, there are 48 students.

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Answer: B

Step-by-step explanation:

Answer: 13

Step-by-step explanation: To find f(2), you can put 2 into all of the x spots, thus making the equation 4(2)+5. From there you can do PEMDAS and multiply 4 and 2 to get 8, and then add 5 to get 13.

The angle at the vertex of a rectangle is 90°

So, it means that,

= ? + 40 = 90

= ? = 90 - 40

= ? = 50

Answer:

50°

Step-by-step explanation:

x = ?°

x + 40° = 90°

x = 90° - 40°

x = 50°

The domain of function A and function B are compared by the statement of Option A: The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1.

What is a function?

A function is a fundamental concept in mathematics that relates a set of inputs (also known as the domain) to a corresponding set of outputs (sometimes referred to as the codomain). For each input, there exists exactly one output, and the output can be linked to its corresponding input in a unique manner.

The domain of a function refers to the set of all possible input values for which the function can produce an output.

In Function A, the domain consists of all real numbers greater than 0, since it is a logarithmic function that can take any positive number as an input.

In contrast, the domain of Function B includes all real numbers greater than or equal to 1, since it is a square root function that begins at (1,0) and continues to infinity.

This means that any number greater than or equal to 1 can be used as an input to produce a corresponding output.

It is essential to define the domain of a function accurately to ensure that the function is well-defined and to avoid potential errors or ambiguities in mathematical computations.

Therefore, the correct statement is A.

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Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

Answer:

Distributive

The correct option is (b) i.e. the total perimeter of the fence is 7x + y − 4 feet.

What is Perimeter?

Perimeter is the total length of the boundary or outer edge of a two-dimensional shape, such as a polygon, circle, or ellipse. It is the sum of the lengths of all the sides or arcs that make up the shape. For example, the perimeter of a square is the sum of the lengths of all its sides, while the perimeter of a circle is the circumference, which is the distance around the circle. The perimeter is often measured in units such as centimeters, meters, or feet, depending on the context of the problem.

Given : sides of the fence

            s₁ = 4x + 5

            s₂ =  y − 7

            s₃ = 3x − 2

We know that, perimeter of a triangle is sum of all three sides.

So, Perimeter of the fence =  s₁+ s₂+ s₃

                                            = 4x + 5 + y − 7 + 3x − 2

                                            = 7x + y - 4 ft.

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4 and 5!

4 squared is 16, which is less than 24, and 5 squared is 25, which is more than 24!

\(\sqrt{24}\) lies between two consecutive numbers  4  and 5

Given :

Given square root of 24

Lets write all the perfect square numbers

\(\sqrt{4}=2\\\sqrt{9}=3\\\sqrt{16} =4\\\sqrt{25} =5\\\sqrt{36} =6\\\sqrt{49}=7\)

From the above perfect square root numbers, we can see that square root (24) lies between \(\sqrt{16} \; and\; \sqrt{25}\)

So we can say that \(\sqrt{24}\) lies between 4  and 5

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Answer:

9 ft

Step-by-step explanation:

Area of a a rectangle = length × width.

Plug in the information youhave.

45ft. = 5ft × ?

45 = 5x

9 = x

Given function :-

\(\bf \implies g(x) = \dfrac{3}{x}+7\)

\(\bf \implies y = \dfrac{3}{x}+7\)

\(\bf \implies x = \dfrac{3}{y}+7\)

\(\bf\implies \dfrac{3}{y}= x -7 \\\\\bf\implies y =\dfrac{3}{x-7} \)

\(\implies\boxed{\red{\bf f^{-1}(x) = \dfrac{3}{x-7} }}\)

Lets call our name X, so by the question we can find the expression:

We can add -7.2 to both sides of the equation to find our number:

So our number is 2.8

Answer:4x as much as GCF

Step-by-step explanation:

u need to do 4x

Answer:

Step-by-step explanation:

Polynomials can be solved in several ways.

The possible first steps are: A. Factor out a GCF and F. Factor by grouping

A polynomial with 4 terms is represented as:

Because it has 4 terms, it cannot be solved by sum or difference of cubes or squares.

This mean that: options (b), (c), (d) and (e) are false.

However, the terms of the polynomial can be factored, if they have a common factor, and they can also be grouped.

Hence, the possible first steps are: A. Factor out a GCF and F. Factor by grouping

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Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

Answer:

0.40

Step-by-step explanation:

5/13 = 0.38461538461. Hundreths place is the 2nd number after decimal so if you round 8 it'll be .40

Answer:

5/13 as a decimal to the nearest hundredth is 0.39 or 0.40.

Step-by-step explanation:

You simply need to divide 5 by 13, and you get 0.384615, but round to the nearest hundredth gets you 0.40

Answer: 1/7

Step-by-step explanation:

The angles <1, <2, and <3 will not add up to 180 degrees. The angles <1 and <2 are alternate interior angles, and the angles <2 and <3 are also alternate interior angles, AB is parallel to CD.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is always equal to 180 degrees. This means that if you measure the angles inside any triangle and add them up, the result will always be 180 degrees. This property holds true for all types of triangles, whether they are equilateral, isosceles, or scalene.

To understand this property, consider a triangle ABC with interior angles angle A, angle B, and angle C. If we draw a line segment from vertex A to a point D on side BC such that it is parallel to the side AB, then we can see that angle A and angle C are alternate interior angles of the parallel lines AB and CD. Similarly, angle B and angle C are alternate interior angles of the parallel lines BC and AD.

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All the correct statements are,

a) 3 lb plaster / 1 qt water is a unit rate for the mis.

c) Using the same rate, the potter mixes 9 pounds of plaster with 3 quarts of water.

e) Using the same rate, the potter mixes 12 pounds of plaster with 4 quarts of water.

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

A potter mixes 6 pounds of pottery plaster with 2quarts of water.

Now, We get;

The unit rate for the mis = 6/2

                                      = 3/1

Thus, 3 lb plaster / 1 qt water is a unit rate for the mis.

And, Using the same rate, the potter mixes 9 pounds of plaster with 3 quarts of water.

Using the same rate, the potter mixes 12 pounds of plaster with 4 quarts of water.

Thus, All the correct statements are,

a) 3 lb plaster / 1 qt water is a unit rate for the mis.

c) Using the same rate, the potter mixes 9 pounds of plaster with 3 quarts of water.

e) Using the same rate, the potter mixes 12 pounds of plaster with 4 quarts of water.

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The complete question is shown in figure.