Use properties of operations to write two equivalent expressions for 13(4 + x).
1. Explain how to distribute the 13 to the terms inside the parentheses, then do the distribution. Use multiplication to simplify the result. Write your answer in the space below.



2. Write another equivalent expression by using the commutative property of addition. Write your answer in the space below.

Answer:

The main difference is that one has the equal sign before it while the other has it after.
You can decide which one to use based on each individual expression. If you are still simplifying, put it like this: ()=. If you are done simplifying and have your answer and are using a parenthesis, put it like this: =()

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

The sum of all the angles of a triangle is 180.

so 47 + 63 + x = 180

110 + x = 180

x = 180-110

x = 70

The sum of the angles in a triangle is 180°. Therefore the value of x in the triangle attached is 70°.

A triangle is a polygon with three sides, three angles, and three vertices (corners). It is one of the fundamental shapes in geometry and has several important properties.

Properties of Triangles

1. Interior Angles: The interior angles of a triangle always add up to 180 degrees. Each angle is measured in degrees, and the sum of all three angles is always a straight angle.

2. Exterior Angles: The exterior angle of a triangle is formed by extending one of its sides. The measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles.

3. Side Lengths: In a triangle, the sum of the lengths of any two sides is always greater than the length of the third side. This property is known as the Triangle Inequality Theorem.

Learn more about triangle here:

https://brainly.com/question/25215131

#SPJ6

the mean will increase

Step-by-step explanation:

this is because mean is the average of the numbers in a set

where as the mode is the recurring numbers in a set so mean will increase with addition of a increased number in the set

Answer:

the answer is D Round 2 np

Answer:

For the agency: $318,015

For the agent: $266,400

Step-by-step explanation:

$333,000 - 4.5 = $318,015

$333,000 - 20% = $266,400

Sorry if this is wrong.

(if it's right, can i have brainliest)  

:>

Answer:

D

Step-by-step explanation:

option d represents that

Answer:

D

Step-by-step explanation:

I took the test or whatever this is got 100

When a number and variable stick together, this multiplication is implied. So 18b is 18 x d.

Since it has the commutative property, you can also write b18, but the other way is more conventional.

What is answer option C?

What is your highest tile in 2048???

Answer:

A. (12, -6)

Step-by-step explanation:

When a coordinate gets rotated into the bottom right quadrant of a graph, the x and y coordinates switch places and the y-coordinate becomes negative.

Since the coordinate pair was (6, 12), you would switch the spots of the coordinates to get (12, 6).

After that, make the y-coordinate negative (if the y-coordinate was originally negative, make it positive instead) to get (12, -6).

Therefore, the answer is (12, -6).

Answer:

Axioms are important to get right, because all of mathematics rests on them. If there are too few axioms, you can prove very little and mathematics would not be very interesting. If there are too many axioms, you can prove almost anything, and mathematics would also not be interesting...

560 cubic inches

Step-by-step explanation:

5×14×8

(5×14)×8

70×8

560

Answer:

1. The answer on the right ( 14 x 8 x 5 =v)

2. 600 ft^3

Step-by-step explanation:

To find volume of a rectangular prism, you multiply length x width x height and then multiply that by 2.

By counting the numbers of options for each selection, we will see that:

A) The code has five digits, and the first digit is fixed (we know that it must be 7) so we only care for the other 4.

The total number of combinations is given by the product between the numbers of combinations:

C = 1*10*10*10*10 = 10,000 codes

So the correct option is the first one.

B) Again, we need to count the number of options for each possible element.

There are 5 drinks, 6 main dishes, and 3 desserts.

So for a meal of 1 drink, 1 main dish, and 1 dessert, the total number of different combinations is:

C = 5*6*3 = 90

There are 90 different possible meals.

C) How Janice can arrange the 6 books?

We need to count how many options we have for each place on the shelf.

Then the number of combinations is:

C = 6*5*4*3*2*1 = 720

There are 720 ways of ordering the books.

If you want to learn more about counting, you can read:

https://brainly.com/question/251701

Answer:

10,000

Step-by-step explanation:

Took k-12 quiz

Answer:

9:12

Step-by-step explanation:

Because 3 x 3 = 9 so 4 x 3 = 12

Answer:

Step-by-step explanation:

Given equation:

Solve:

You are only multiplying the numerator.

Here are the options verified:

Correct choice is D.

Answer:

2

Step-by-step explanation: 0 = 2x - 4                            

                                             2x = 4

                                                      x = 2

Answer:

15

Step-by-step explanation:

on the graph we look at vaccinated and got the flu and which ever is in both is the answer so 15

Answer:

C

Step-by-step explanation:

when you do the absolute value you take out the sign

x > 9

but with absolute value there is also a negative answer. and with the greater than sign it would switch to less than.

x < -9

Answer:

2/3 = 3/2

Step-by-step explanation:

Answer:

5/6 or 0.83333333  

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The greatest common factor is 2

44:

1,2,4,11,22,44

46:

1,2,23,46

Hope this helps!

Answer:

10 square feet

Step-by-step explanation:

you multiply 5 x 2 to get the answer of 10

Answer:

false

Step-by-step explanation:

52

Answer:

5/20 or 25% probability of winning $1,000,000

Step-by-step explanation:

How many numbered balls do they need to win?

5

How many balls are there?

20

Therefor your answer is (balls need to win/number of balls).

Answer:

Look at solution

Step-by-step explanation:

Remember that the x-axis is the time so you start at 0. The y-axis is the amount of snow so it says it starts at 1 inch so you start at (0,1).

When using coordinates remember (x,y) the x is the horizontal axis and y is vertical.

The next few steps deal with slope. The slope is always rise/run. so when it says it snowed for an average of 1 inch per hour, you go one up and one to the right to create the line. When it stopped snowing, the snow (i assume) stays the same so you just have a horizontal line for 5 hours indicating the same amount of snow. Then the snow becomes 3 per hour so you have to go up 3 from where you left off and over 1. Do that for 7 hours.

I hope you read this explanation because this is the basics of graphing. Next time you can try it by yourself :)

[tex]\bold{\huge{\orange{\underline{ Solution }}}}[/tex]

[tex]\bold{\underline{ Given \: Rules}}[/tex]

[tex]\bold{\underline{ Let's \: Begin}}[/tex]

According to the Second rule :-

[tex]\sf{ 75+b+83=76+80+d=a+81+85+78+c+e }[/tex]

[tex]\sf{ 158 + b = 156 + d = 166 + a = 78 + c + e ...(1)}[/tex]

According to the first rule :-

[tex]\sf{ 75+76+a+78 = b+80+81+c = 83+86+d+e}[/tex]

[tex]\sf{ 229 + a = 161 + b + c = 168 + d + e ...(2)}[/tex]

From ( 1 ) we got :-

[tex]\sf{ 158 + b = 166 + a, 156 + d = 166 + a }[/tex]

[tex]\sf{ b = 166 - 158 + a, d = 166 - 156 + a }[/tex]

[tex]\sf{ b = 8 + a, d = 10 + a ...(3)}[/tex]

Subsitute (3) in ( 2 ) :-

[tex]\sf{229+a = 161+8+a+c = 168+10+a+e}[/tex]

[tex]\sf{ 229+a = 169+a+c = 178+a+e}[/tex]

We can write it as :-

[tex]\sf{ 229+a = 169+a+c \:or\:229+a = 178+a+e}[/tex]

[tex]\sf{ c = 299-169+a-a\:or\:e = 229-178+a-a}[/tex]

[tex]\sf{ c = 60 \: and \: e = 51 }[/tex]

Subsitute the value of c and e in ( 1 ):-

[tex]\sf{ 158 + b = 156 + d = 166 + a = 78 + 60 + 51 }[/tex]

[tex]\sf{ 158 + b = 156 + d = 166 + a = 189}[/tex]

Now,

[tex]\sf{ For \: b, 158 + b = 189 }[/tex]

[tex]\sf{ b = 189 - 158 }[/tex]

[tex]\sf{ b = 31}[/tex]

[tex]\sf{ For \: d , 156 + b = 189 }[/tex]

[tex]\sf{ d = 189 - 156 }[/tex]

[tex]\sf{ d = 33}[/tex]

[tex]\sf{ For \: a, 166 + a = 189 }[/tex]

[tex]\sf{ a = 189 - 166 }[/tex]

[tex]\sf{ a = 23 }[/tex]

Hence, The value of a, b, c, d and e is 23, 31 ,60 ,33 and 51 .

Answer:

The quotient of  8.4 times 10 Superscript 9 and a number n results in 5.6 times 10 Superscript 27. What is the value of n?

1.5 times 10 Superscript negative 18

1.5 times 10 Superscript negative 3

1.5 times 10 Superscript 3

1.5 times 10 Superscript 18

Step-by-step explanation:

Answer:

A numerical expression is a mathematical sentence involving only numbers and one or more operation symbols. Because numerical expressions can only contain numbers, expressions containing variables (such as x or y) cannot be considered numerical expressions.

Slope

Answer:

15 2/3

Step-by-step explanation:

11 feet + 4 2/3 feet = 15 2/3

11+4= 15 + 2/3 = 15 2/3

Its actually very simple.

Answer:

15 2/3

Step-by-step explanation:

4 2/3 + 11 = 15 2/3 (Decimal: 15.666667)