Which sentence is an example of the distributive property

The distributive property of multiplication is a very useful property that lets you simplify expressions in which you are multiplying a number by a sum or difference. The property states that the product of a sum or difference, such as 6(5 – 2), is equal to the sum or difference of the products – in this case, 6(5) – 6(2).

Remember that there are several ways to write multiplication. 3 x 6 = 3(6) = 3 • 6.

3 • (2 + 4) = 3 • 6 = 18.

Distributive Property of Multiplication over Addition

The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2.

3(10 + 2) = ?

According to this property, you can add the numbers and then multiply by 3.

3(10 + 2) = 3(12) = 36. Or, you can first multiply each addend by the 3. (This is called distributing the 3.) Then, you can add the products.

The multiplication of 3(10) and 3(2) will each be done before you add.

3(10) + 3(2) = 30 + 6 = 36. Note that the answer is the same as before.

You probably use this property without knowing that you are using it. When a group (let’s say 5 of you) order food, and order the same thing (let’s say you each order a hamburger for $3 each and a coke for $1 each), you can compute the bill (without tax) in two ways. You can figure out how much each of you needs to pay and multiply the sum times the number of you. So, you each pay (3 + 1) and then multiply times 5. That’s 5(3 + 1) = 5(4) = 20. Or, you can figure out how much the 5 hamburgers will cost and the 5 cokes and then find the total. That’s 5(3) + 5(1) = 15 + 5 = 20. Either way, the answer is the same, $20.

The two methods are represented by the equations below. On the left side, we add 10 and 2, and then multiply by 3. The expression is rewritten using the distributive property on the right side, where we distribute the 3, then multiply each by 3 and add the results. Notice that the result is the same in each case.

The single equivalent discount rate of 9/5/4 is .17008. True or False?

List the angles of triangle DEF in order from smallest to largest measure if DE = 7, EF = 9, and DF = 3.


∠D, ∠E, ∠F


∠E, ∠F, ∠D


∠F, ∠E, ∠D


∠D, ∠F, ∠E

The 9 officers of the Student Council are going on a trip to an amusement park. Each student must pay an entrance fee plus $5 for meals. The total cost of the trip is $225. Solve the equation 9(e + 5) = 225 to find the cost e of the entrance fee for each student. Question options: A) $25 B)$14 C) $45 D) $20

What number is 32% of 75?



Which of the following equations could be used to solve the problem?


n = 0.32(75)
0.32n = 75
n = 75 ÷ 0.32

This is just a reassurance question It's
n = 75 ÷ 0.32 Right?,

Calculate.

0 = x² + 10x + 16

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The admission fee at the county fair is $2 for children and $4 for adults. on a certain day, 2000 people enter the fair and $5000 is collected. using c as the variable to represent the number of children and a as the variable for adults, write a system of equations to determine how many children and how many adults attended. note down this system of equations so that you can use it for the next question.

I don't understand how to do this one, any help??


Is it a.?

Kareem wants to wallpaper the back wall of his bedroom. The wall is in the shape of a rectangle. Its length is
13 feet and its width is 12
feet. The wallpaper costs $8
for each square foot. How much will wallpaper cost for the wall?

10 POINTS + BRAINLIEST ANSWER!!

Given the right triangle PQR below, which of the following is equal to y/x?

A. cos P

B. cos Q

C. tan P

D. tan Q

Can there be a right triangle with side lenghts of 1,2,3

Wally buys nine books that coast $19.50 apiece. How much does Wally spend?

IF YOU HELP ME ILL WILL GIVE YOU BRAINLIST AND 50 PONITS HELP ME PLZZZZZ



Which statement or statements are TRUE?

I. The data distribution is skewed
II. The interquartile range is 6
III. The median is 10
A) I only
B) II only
C) I and II only
D) II and III only

Please help I don’t understand it

21/80 as a percentage

One day a store sold 29 sweatshirts. White ones cost​ $10.95 and yellow ones cost $ 13.50. In​ all, ​$353.25 worth of sweatshirts were sold. How many of each color were​ sold?

solve the system by either elimination or substitution
3x-5y=21
2x+y=1
A.2,-3
B.2,3
C.-2,-1
D.-2,1
My guess is c

An instructional video is 4.2 minutes long. How long is the video in seconds? How long is it in hours?

HELP PLEASE!!?!
5. The half-life of a certain radioactive material is 78 hours. An initial amount of the material has a mass of 790 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 18 hours. Round your answer to the nearest thousandth.,

The function y = 41 ? 0.95x models the difference (in minutes) between men's and women's finishing times for the boston marathon. the number of years since women first officially ran the race in 1972 is represented by x.

a. does the exponential function represent growth or decay?

b. estimate the difference between finishing times in 1990.

c. predict the difference between finishing times in 2005.

Please show work! Thank you

Can someone give me the answer to the question?

What is the area of this figure?



Enter your answer in the box.


units²

What is the value of x

What is the trigonometric ratio for cosD ?

Enter your answer, as a simplified fraction.

The Great Pyramids of Giza, Egypt are dedicated the following pharaohs EXCEPT ___________.
a. Khafre
b. Tutankhamen
c. Khufu
d. Menkaure,

Answer to question 3

Subtract the linear expression: (8x + 5) - (2x- 4)

Triangle ABC has vertices at A(4, 7) , B(13, 7) , and C(9, 11) .

Triangle FGH has vertices at F(1, 1) , G(10, 1) , and H(6, 5) .

Which sequence of transformations shows that triangle ABC and triangle FGH are congruent?

Select each correct answer.




A Translate ​ triangle FGH ​ down 6 units, and then translate ​ triangle FGH ​ left 3 units. ​

B Translate ​ triangle FGH ​ up 6 units, and then translate ​ triangle FGH ​ right 3 units. ​

C Translate ​ triangle ABC ​ up 6 units, and then translate ​ triangle ABC ​ right 3 units.

D Translate ​ triangle ABC ​ down 6 units, and then translate ​ triangle ABC left 3 units.
The coordinates of the vertices of triangle XYZ are given in the table.

X Y Z
(0, −6) (−10, 4) (3, −1)


Triangle XYZ is reflected across the y-axis.

What are the vertices of triangle X′Y′Z′ ?



Enter your answers in the boxes.



X′ : (
, ​
​)

Y′ : (
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Z′ : (
, ​
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The coordinates of the vertices of triangle XYZ are given in the table.

X Y Z
(0, −6) (−10, 4) (3, −1)


Triangle XYZ is reflected across the y-axis.

What are the vertices of triangle X′Y′Z′ ?



Enter your answers in the boxes.



X′ : (
, ​
​)

Y′ : (
, ​
​)

Z′ : (
, ​
​) The coordinates of the vertices of triangle XYZ are given in the table.

X Y Z
(0, −6) (−10, 4) (3, −1)


Triangle XYZ is reflected across the y-axis.

What are the vertices of triangle X′Y′Z′ ?



Enter your answers in the boxes.



X′ : (
, ​
​)

Y′ : (
, ​
​)

Z′ : (
, ​
​)

Quadrilateral ABCD is inscribed in circle O.

What is ​ m∠B ​ ?



Enter your answer in the box.

If the discriminant of a quadratic equation is greater than zero, which of the following is true of the equation?

A. It has two complex solutions.
B. It has one real solution.
C. It has two real solutions.