Which property justifies the statement below?

7(mn) = (7m)n


Which property justifies the statement below?

7(mn) = (7m)n


Associative Property

Inverse Property

Identity Property

Commutative Property

Answer:

Step-by-step explanation:

1630089 is the answer

The area when Alex has a circular rug the radius of the rug is 5 1/4 feet is 86.625 feet².

It should be noted that the area of a circle is given the formula:

Area of a circle = πr²

where π = 22/7

r = radius = 5 1/4

Therefore, the area will be:

Area = πr²

Area = 22/7 × (5 1/4)²

Area = 22/7 × 25 1/16

Area = 86.625 feet²

The area is 86.625 feet².

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Answer: 14.73091

Step-by-step explanation:

The square root of 217, (or root 217), is the number which when multiplied by itself gives the product as 217. Therefore, the square root of 217 = √217 = 14.730919862656235.

Answer:

convert 10 hours 30 minutes to hours= 10.5

683/10.5

=65.04km/h

The length and width of the piece of​ metal are 28 and 18 inches respectively.

What is volume?

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

Dimension of the rectangle;

Width(w)

Length,L= 10 + w

volume of the box = length  * width * height

Dimension of the box;

length of box, (x + 10) - 4  = x + 6

width of box,(x - 4)

height of box =  2

The volume of the box is 672 in³;

⇒V=lwh

⇒V=2 (x -4)( x + 6)

⇒672 in³ = 2x² + 4x - 48

⇒2x² + 4x - 720 = 0

⇒x^2  + 2x - 360 = 0

⇒(x +20)(x - 18) = 0

⇒x = 18

⇒x=-20 (value of the dimension will not be negative.

The width of an original piece of metal is;

Width,w=18 inches

length,l= 28 inches

Hence. the length and width of the piece of​ metal are 28 and 18 inches respectively.

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The simplified expression of (2^3×2^4) is 2^7

The expression is given as

(2^3×2^4)

The base of the above expression are the same

i.e. Base = 2

This means that we can apply the law of indices

When the law of indices is applied, we have the following equation:

(2^3×2^4) = 2^(3 + 4)

Evaluate the sum in the above equation

So, we have

(2^3×2^4) = 2^7

Hence, the simplified expression of the expression given as (2^3×2^4) is 2^7

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Answer: m = 5.5

Step-by-step explanation:

9680 / 1760 = m

m = 5.5

Answer:

x=16

Step-by-step explanation:

I apologize I have not done geo in a while so I am not sure what the theorem is, but there is a theorem that states that when a transversal intersects with two parallel lines, two angles that are facing the same direction are the same angle. (the two white angles that i have marked are equal)

next, two lines that intersect each other will have the same angle measurements on opposite sides (the green marked angles are equal)

so that means 3x - 8 = x + 24

and when you simplify that, you get 2x = 32 ---> x = 16

Answer:

Step-by-step explanation:

20(kids per ride) x 52(number of rides) = 1040. 15(adults per ride) x 52(number of rides) = 780. 1040-780= 260 more kids than adults.

Simply 24/8 to 3.

-12/x = 3
Since x is the number being divided, we take the divisor and divide it by the quotient.

x = -12/3 = -4.

By dividing and multiplyinh the decimal by 10, we will see that:

-0.6 = -6/10

Here we have the following decimal: -0.6

And we want to write it as a fraction.

To do so, we just need to multiply it and divide it by 10 as many times as digits we have after the decimal point. In this case we have only one digit after the decimal point, so we multiply and divide by 10 only once.

-0.6 = -0.6*(10/10) = (-0.6*10)/10 = -6/10

That is the fraction form of the given decimal.

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Answer:

Step-by-step explanation:

The unit price per ounce of the jar of jam is $0.50

From the question, the given parameters are

Volume = 5 oz

Cost of jam = $2.50

The unit rate of the jam is calculated as

Unit rate = Cost of jam/Volume

Substitute the known values in the above equation

So, we have the following equation

Unit rate = 2.50/5

Evaluate the quotient

So, we have the following equation

Unit rate = 0.5

Hence, the unit price per ounce is $0.50

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Based on the information given, the total number of Goals Scored in all 10 games combined is 11 goals.

It should be noted that in Mathematics, frequency simply has to do with the number of occurence that an event has based on the data or the information that's illustrated.

Based on the information given, it should be noted that the number of goals as well as the frequency are given. This will be illustrated we:

Total number of goals will be:

= (0 × 3) + (1 × 4) + (2 × 2) + (3 × 1)

= 0 + 4 + 4 + 3

= 11 goals

Therefore, 11 goals are scored.

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Answer:

Step-by-step explanation:

Answer:

6x -- 1

Step-by-step explanation:

To Solve for g(f(x)), bear in mind

f(x) = 3x + 1

g(x) = 2x -- 3

g(f(x)) = 2x -- 3. (Calm down right?)

Let x = f(x).

if you recheck g(x) = 2x -- 3 so we got the (x) from it (do you get?)

g(f(x)) = 2(3x + 1) -- 3

g(f(x)) = 6x + 2 -- 3

g(f(x)) = 6x -- 1

#AllonGod

Answer:

Step-by-step explanation:

To find g(f(x)), first, understand that this means we are going to use the function of f(x) where the x would be in g(x).  

1. First, identify the x in g(x) and replace it with the function of f(x)

g(x)=2x-3; so g(f(x))= 2(3x+1) -3

2. Simplify the equation by distributing the 2 and combining like terms.

2*3x=6x and 2*1=2, so we are left with 6x+2-3. After, just do 2-3 to end up with

g(f(x))=6x-1

If a costumer decides to pay in cash then saved £3.6.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

A cash discount of 8% is allowed on an item which costs £45.

Now, The amount of Saved money calculated as;

Since, A cash discount of 8% is allowed on an item which costs £45.

Hence,

Saved money = 8% of £45

                      = 8 x 45 / 100

                      = 3.6

Thus, Saved money = 3.6

Therefore, If a costumer decides to pay in cash then saved £3.6.

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Answer:

1/16 squared meters

Step-by-step explanation:

The formula to find the area of a triangle is  [tex]\frac{Base * Height}{2}[/tex]

We can form an equation if we substitute the values (base and height).

[tex]\frac{1/2*1/4}{2}[/tex]

1/2 * 1/4 = 1/8

and [tex]\frac{1/8}{2}[/tex] = 1/16

Therefore, the area of a triangle with a vertical height of 1/2 m and a base of 1/4 m is 1/16 meters squared.

The vertex and the axis of symmetry are (-2, -6) and x = -2, respectively

The equation of the function is given as

f(x) = x^2 + 4x - 2

The above equation is a quadratic equation

Next, we plot the equation on a graph (see attachment)

The vertex of the graph is the minimum or the maximum of the graph

In this case, we have

Minimum= (-2, -6)

This means that

Vertex = (-2, -6)

The axis of symmetry is the x-coordinates of the vertex

So, we have

x = -2

Hence, the vertex is (-2, -6) and the axis of symmetry is x = -2

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By using internal angles of the triangles and the definition of supplementary angles, the measure of the angle MNP is equal to 54°.

Herein we find a geometric system formed by two common semirrays with a common vertex at point N and a line segment MP such that triangle MPN is a right triangle. By Euclidean geometry we know that the sum of the measures in the internal angles equals 180°:

m ∠ NMP + m ∠ MNP + m ∠ MPN = 180°      (1)

And the two angles at point P are supplementary angles:

24 · x + m ∠ MPN = 180°      (2)

Then, by (1):

90° + 9 · x + m ∠ MPN = 180°

m ∠ MPN = 90° - 9 · x

By (1) in (2):

24 · x + 90° - 9 · x = 180°

15 · x = 90°

x = 6

Then, the measure of the angle MPN is equal to:

m ∠ MNP = 9 · x

m ∠ MNP = 9 · 6

m ∠ MNP = 54°

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Answer:

{-4, 0, 2, 5}

Step-by-step explanation:

The domain of a relation in a graph is a list of all the x values from the points plotted on it.

Therefore, we can take the coordinates of each point, and list all the x values. (You can't use the same number more than once)

Once you list all the x values, you put them in order from least to greatest, and then you're done! (make sure to use swirly brackets)

Good luck on your math journey! ^-^

Answer: 8x-3

Step-by-step explanation

2x + 6 + 6x - 9

8x - 3

Answer:

8x - 3

Step-by-step explanation:

2(x+3) + 3(2x-3)

2x+6 + 6x-9

2x+6x + 6-9

= 8x - 3

The area of the triangle for the given parameter is 12.4 squared cm.

How to calculate the area of the triangle?

In mathematics, the area of the triangle is classified into three forms isosceles, scalene and equilateral. Depending upon the sides of the triangle, it is classified. That means, when the two sides are equal then the triangle is isosceles triangle.

According to the question, the given parameters for the calculation of the area of the triangle is as written below:

Side of the triangle(a) = 5.2 cm. Angle of a triangle(B) = 67°.

Using standard formula for the area of the triangle, we get:

Area of the triangle = (1/2)(5.2)(5.2)sin(67°) = 12.4384 = 12.4 squared cm.

Hence, the area of the triangle for the given parameter is 12.4 squared cm.

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All the expressions like (a), (b) and (c) are true sentences in the form of inequality.

What is inequality expression?

The inequality expression in a sentence consist of two algebraic expression with the inequality symbols. And the solution of an inequality is a number which when substituted for the variable to makes the inequality as a true statement.

According to the question, the given inequality expressions in the form of the sentence is as follows:

(a) 2(3/4) > 2.68;

(b) 7.895 x 10² > 5.43 x 10³;

(c) √63 > 8.11;

(d) |-1.5| > |3.2|

In this, all the expressions like (a), (b) and (c) are true sentences in the form of inequality.

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Answer:

1) 14/15

2)23/25

3) 1.33%

Step-by-step explanation:

Answer: 1/5

Step-by-step explanation:

Answer:

[tex]{ \sf{ \frac{1}{5} }} \\ [/tex]

Step-by-step explanation:

[tex]{ \sf{ \frac{2 \div 2}{10 \div 2} \equiv \frac{1}{5} }} \\ [/tex]

Answer:

it would cost $285

Step-by-step explanation:

Answer:

285 po answer

Step-by-step explanation:

Pa brainlest po plsss