Which of the following best illustrates the commutative property of addition?
a. 8 + (7 + 3) = (8 + 7) + 3

b. 8(7 + 3) = 8(7) + 8(3)

c. (8 + 7) + 3 = 3 + (8 + 7)

d. 8 + (7 + 3) = (8 + 7) + (8 + 3) − 8

e. 8 + (7 + 3) = 8 + (7 + 3

Answers

Answer 1

Answer:

. 8 + (7 + 3) = (8 + 7) + 3

Step-by-step explanation:

commutative property of addition

a(b+c)=(a+b)+c

Answer 2

Answer:

c

(8 + 7) + 3 = 3 + (8 + 7

Step-by-step explanation:


Related Questions

There are two numbers such that sum of the numbers is 22 and the difference of their squares is 44. Find their difference.

Answers

Answer:

10 and 12

Step-by-step explanation:

12^2=144

10^2=100

144-100=44

Answer:

12 and 10

Step-by-step explanation:

I used just x and y for the two different variables

so

22= x+y

44 = x^2 - y^2

its a simultaneous equation now, so you're able to use that from there

please help with this problem.

Answers

10+14+16=40
Perimeter=40
(I’m not too sure though I haven’t done perimeter in ages)

Help me if you don't understand 7, leave it. Thanks!​

Answers

1. X = 5, square root of 25 is 5
1. x = 5,- 5
2. x = 8i , - 8i
3. x = 7 , - 7
4. x = √6 , - √6
5. x = 2√3 , -2√3
6. x = 2, - 2

7. x = 15 , -5

Jessica uses 9.6 pints of blue paint and white paint to paint her bedroom walls 4/5 of this amount is blue paint in the rest as white paint how many pints of white paint did she use to paint her bedroom walls express your answer in fraction form

Answers

Answer:

Step-by-step explanation:

9.6/5=1.92

1.92= 1 23/25

or 48/25

A number cube has faces labeled 1–6. What is the probability of rolling a 2 on the number cube, and then landing on a 3 on this spinner? A spinner containing 6 equal regions containing the following numbers as labels: 2, 2, 3, 3, 6, and 6.
A. 2/6

B. 3/6

C. 1/18

D. 3/36

will give brainliest and 50 points.

Answers

Answer:

c

Step-by-step explanation:

use multiplication rule.

1/6 for landing a 2 on the cube and 1/3 for landing a 3 on the spinner

Daniel borrowed $5000 from the bank for 2 years at 9% simple interest per annum. Calculate how much interest Daniel is charged.

Answers

Answer:

Daniel is charged $900

Step-by-step explanation:

This is because 9 percent of 5000 is 450. Multiply 450x2 and get 900.

Select the solutions to this quadratic equation:
​​x2−6x+8 = 0


X=2
x=4
x=0
x=-2
x=1

Answers

Answer:

X=2

Step-by-step explanation:


Solve using the quadratic formula.
9x to the exponent of two+ x - 9 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals
rounded to the nearest hundredth.

Answers

Answer:

This is not really an answer but if you photomath and type in the problem for example “9x^2+x-9=0” you’ll be able to find your answer easily

Step-by-step explanation:

A bag contains 19 cards numbered 1 through 19. A card is randomly chosen from the bag. What is the probability that the card has an even number on it? Write your answer as a fraction in simplest form. willllll get brainest

Answers

Answer:

[tex]\dfrac{9}{19}[/tex]

Step-by-step explanation:

It is given that there are a total of 19 cards ({1,2,3,4, ...... ,19}).

Let S be the set of total cards.

S ={1,2,3,4, ...... ,19}

Total number of observations, n(S) = 19

Even number of cards is the set {2,4,6,8,10,12,14,16,18}

Total number of cards with even number on it = 9

Let E be the event of selecting a card with even number on it.

n(E) = 9

Probability of an event A can be formulated as:

[tex]P(A) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

In this case, formula of P(E) is:

[tex]P(E) = \dfrac{n(E)}{n(S)}[/tex]

[tex]\Rightarrow \dfrac{9}{19}[/tex]

The probability that the card chosen at random is an even number is:

[tex]\dfrac{9}{19}[/tex]

The probability that the card will have an even number will be 0.4737.

From the information given, we are informed that a bag contains 19 cards numbered 1 through 19.

Based on the information, the even numbers will be 2, 4, 6, 8, 10, 12, 14, 16, and 18. Therefore, the probability of having when numbers will be:

     = 9/19 = 0.4737

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From which set of dimensions could a triangle be constructed?
side length of 7
side length of 8
side length of 15
side length of 8
side length of 5
side length of 14
side length of 6
side length of 3
side length of 10
side length of 2
side length of 6
side length of 7
) Intro
Done

Answers

Answer:

Step-by-step explanation:

answer is d- side length of 2 side length of 6 side length of 7

Answer:

It’s D.

Step-by-step explanation:

“Side length of 2, side length of 6, side length of 7”

Plsss give me Brainliest ❤️

Which of the following is not a step when drawing an angle?

A. Draw perpendicular lines
B. Draw a ray
C. Make a mark at the correct point on the protractor
D. Connect the mark and the vertex with a line

Answers

Answer:

A. Draw perpendicular lines

Step-by-step explanation:

Perpendicular lines are lines that intersect at a 90 degree angle. Unless you are constructing a right angle - or 45 degree angle - you would not need to draw perpendicular lines.

Therefore, answer A is correct.

answer please very quickly

Answers

The answer is a.2



This is because when using the Pythagorean theorem we have A squared plus B squared equals C squared. And C squared would be the hypotenuse so, A would be 4 and C would be the square root of 20. After doing this solving using the order of operations you should finally get B squared equals 4. Thus causing B squared to be equal to 2.

Mr. Smith received a phone call from the bank manager. His bank balance had dropped to - $15 (he had overdrawn his account by $15). Mr. Smith rushed to the bank and deposited $25 into his account. What was Mr. Smith’s new balance after making the $25 deposit?

Answers

Answer:

$10

Step-by-step explanation:

(-15) + 25 = 10

Answer:10

Reason: Trust Me

square root of 172 ?

Answers

Answer:

13.1148770486

.....................,...

rounded it would be 13.11

One and seventy six hundredths in decimal

Answers

Answer:

1.76

Step-by-step explanation:

Answer:

1/76

Step-by-step explanation:

Can you please help please and i will give you a Brainiest please

Answers

Answer:

5 grams

Step-by-step explanation:

5*9=45

Answer:

I think the answer is 5 grams

Sorry if it is not correct

Step-by-step explanation:

I think that it is 5 grams because 45 ÷ 9= 5

Express the required calculation in terms of it and then round to the nearest tenth.

How much fencing is required to enclose a circular garden whose radius is 20 meters?

There are of fencing required.

(Simplify your answer. Type an exact answer in terms of 7.)

There are approximately

of fencing required.

(Round to the nearest tenth as needed.)

Answers

Answer:

126m

Step-by-step explanation:

The circumference of the circle would be the amount of fencing required for the circular garden.

Circumference, C = 2πr

π = [tex]\frac{22}{7}[/tex]

C = 2*20*[tex]\frac{22}{7}[/tex]

C = 125.71 m

We need 125.71 meters to fence the garden.

Will mark as brainliest if correct

Answers

Answer:

X = 1.09

Step-by-step explanation:

6 to the 1.09th power is 7.04993094301076 so when it is rounded it is 7.

Answer:

the answer is 7

Step-by-step explanation:

log10(6x)=log10(7)

x•log10(6)=log10(7)

x = log10(7)/log10(6)

this works because of

logb(x y) = y ∙ logb(x)

I figured this out from the internet!!

source:TigerAlegbra

rational or irrational? ​

Answers

Answer:

irrational

Step-by-step explanation:

sqrt(8) = sqrt(4) sqrt(2) = 2 sqrt(2)

sqrt(8) /3 = 2 sqrt(2)/3  which is an irrational number

sqrt(16) =4  which is rational

irrational + rational = irrational

In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league. What does the solution of the system represent in this context?



y=35x


y=-0.05(x-400)^2+9,492



the number of sweatshirts that generate the maximum income


the number of sweatshirts that generate the minimum cost


the number of sweatshirts for which the difference between cost and income is greatest.


the number of sweatshirts for which cost and income are equal

Answers

Answer:

The number of sweatshirts for which cost and income are equal

Step-by-step explanation:

Let y₁ represent the revenue from selling "x" sweatshirts and y₂ represent the cost of producing "x" sweatshirts, solving the system:

[tex]y_1=35x\\y_2=-0.05(x-400)^2+9,492\\y_1=y_2\\35x=-0.05(x-400)^2+9,492\\-0.05(x-400)^2-35x+9,492=0[/tex]

The solution of the equation above yields the number of sweatshirts for which the cost of production (y₂ ) is equal to the revenue from sales (y₁).

Therefore, the solution represents the number of sweatshirts for which cost and income are equal .

The number of sweatshirts for which cost and income are equal and this can be determined by using the substitution method.

Given :

In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league.

The following steps can be used in order to determine the solution of the system of the equation:

Step 1 - Write the given system of equations.

[tex]y = 35x[/tex]              ---- (1)

[tex]y = -0.05(x - 400)^2+9492[/tex]              ---- (2)

Step 2 - Now, substitute the value of 'y' in equation (2).

[tex]35x = -0.05(x - 400)^2+9492[/tex]

Step 3 - Simplify the above equation.

[tex]35x = -0.05x^2-8000+40x+9492[/tex]

Step 4 - Now, write the above equation in generalized quadratic form.

[tex]0.05x^2-5x-1492=0[/tex]

From the above steps, it can be concluded that the correct statement is given by option D).

For more information, refer to the link given below:

https://brainly.com/question/11897796

3х - 40 °
30°
х+ 20
whats x?

Answers

So the right answer is 42.5

look at the attached picture

Hope it will help you

Good luck on your assignment

Find the solution set of the inequality 52-3x<-14

Answers

Answer:

x>22

Step-by-step explanation:

Make me brainliest

RIGHT ANswer trust me

what is the formula for figuring out the area of a circle? ​

Answers

Answer:

The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.

Step-by-step explanation:

Answer:i believe it is length times width

Step-by-step explanation:

What is the length of a radius of the circle represented by the equation

x2 + y2 - 4x - 4y + 4 = 0?


A) 2 units

B) 4 units

C) 8 units

D) 16 units

Answers

Answer:

A) 2 units

Step-by-step explanation:

Given;

x² + y² - 4x - 4y + 4 = 0

Consider general circle equation;

(x - h)² + (y - k)² = r²

where;

(h , k ) is the center of the circle

r is the radius of the circle

x² + y² - 4x - 4y + 4 = 0

subtract 4 from both sides of the equation

x² + y² - 4x - 4y  =  - 4

square half of coefficient of x and y, and add them to both sides of the equation

x² +  - 4x + (-2)² +  y² - 4y + (-2)² = - 4 +  (-2)² +  (-2)²

factorize x and y

(x - 2)² + (y - 2)² = - 4 + 4 + 4

(x - 2)² + (y - 2)² = 4

(x - 2)² + (y - 2)² = 2²

Compare this final equation to general equation of a circle

(x - 2)² + (y - 2)² = 2²  

(x - h)² + (y - k)² = r²

r = 2

Thus, the length of a radius of the circle is 2 units

Write an addition equation or a subtraction equation to describe the diagram

Answers

Answer:

add the diagram

Step-by-step explanation:

Events A and B are mutually exclusive. Find the missing probability.

P(A) = 3/10 P(B) = ? P(A or B) = 4/5

1/2

2/3

1/5

3/10

Answers

Answer:

1/2

Step-by-step explanation:

As they are mutually exclusive P(A and B) = 0 therefore the probability of P(A or B)= P(A) + P(B). Just do 4/5-3/10= 5/10=1/2

The value for P(B) is 1/2.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

P(A) = 3/10, P(B) = ?, P(A or B) = 4/5.

As they are mutually exclusive P(A and B) = 0

So, P( A or B)

4/5 = P(A) + P(B)

4/5 = 3/10 + P(B)

P(B) = 4/5 - 3/10

P(B) = 5/10

P(B) = 1/2.

Learn more about Probability here:

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If 5x−4y=22 and 3x+6y=30, what is the value of x−5y

Answers

Answer:

-4 See Below:

Step-by-step explanation:

When you have a system of equations, you need to solve for one variable, and subsitute that variable into the other equation to solve for the other variables value.

3x +6y = 30 In this case, it would be easier to solve for x.

3x= 30-6y  Divide both sides by 3

x= 10-2y

Now we substitute for x in the other equation.

5x- 4y = 22

5(10-2y)-4y=22

50-10y-4y=22

50-14y=22 Add 14y to both sides

50= 14y + 22 Subtract 22 from both sides

28 = 14y     Divide by 14 on both sides.

y = 2

Substitute y=2 and solve for x.

x = 10- 2y

x= 10-2*2

x= 10-4

x= 6

Now we know y=2 and x=6, so we can substitute them into x-5y to find its value.

x - 5y

= 6-5*2

=6-10

= -4

"What is the theoretical probability of rolling a prime number on a standard number cube?"

Answers

Answer:

There are three prime numbers and 3 even numbers on a number cube, so the probability of each is 3/6 = 1/2

Step-by-step explanation:

Probability of rolling a prime number on a standard number cube is  [tex]\frac{1}{2}[/tex] or 0.5.

What is theoretical probability?

The theoretical probability is defined as the ratio of the number of favorable outcomes to the number of possible outcomes.

Numbers on a cube are {1, 2, 3, 4, 5, 6}

Total number of favorable outcomes = 6

Number of prime numbers in {1, 2, 3, 4, 5, 6} are {2, 3, 5}.

Number of favorable outcomes = 3

Probability of rolling a prime number on a standard number cube

P = [tex]\frac{Number of favorable outcomes}{Total number of favorable outcomes }[/tex]

P = [tex]\frac{3}{6}[/tex]

P = [tex]\frac{1}{2}[/tex]

Hence, probability of rolling a prime number on a standard number cube is  [tex]\frac{1}{2}[/tex] or 0.5.

Learn more about theoretical probability here

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A sporting goods factory puts out 98 playground balls in each shipment. Each ball costs $2. What is the total cost of playground balls in three shipments? ENTER NUMBERS ONLY

Answers

Answer:

$588

Step-by-step explanation:

As each shipment has 98 balls, to determine the total cost of playground balls in three shipments, you have to multiply 98 for 3. Then, after determine the amount of balls in the three shipments, you have to multiply that for the price of each ball:

Total amount= 98*3= 294

Total cost= 294*$2= $588

The total cost of playground balls in three shipments is $588.

Give your best conclusion to the following statement: "Distance between two points on the coordinate plane is related to the pythagorean theorem because..."

Answers

Answer:

the Pythagorean formula is a²+b²=c², which is a and b are the x and y distances between points and c is the hypotenuse, which is the distance.

Step-by-step explanation:

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