Choose the number sentence that illustrates the distributive property of multiplication over addition.
A. 2 × (7 + 8) = (2 + 7) × (2 + 8)
B. 2 × (7 + 8) = (2 × 7) + (2 × 8)
C. 2 × (7 + 8) = (2 × 7) + 8

Answers

Answer 1

Answer:

A

Step-by-step explanation:

It is the only equation with addition in all the parenthesis.


Related Questions

Can someone tell me,how to do this???pls

Answers

Answer:

9x-2w+11y

Step-by-step explanation:

To find the perimeter, add up all the sides

7x-7w  + 2x+9y   + 2y+5w

Combine like terms

7x +2x    -7w +5w  + 9y+2y

9x-2w+11y

how can you convert inches to yarfs? would you multiply or divide when converting from a smaller unit to a large unit? explain

Answers

Answer:

You would divide

Step-by-step explanation:

Please help me - it is due today. I will mark brainleist for whoever gets them correct, first. Thanks!

Answers

Answer:

1. -12

2. (135/n) -15

3. -4

4. -56

Answer:

from left to right

1. -12

2. -15

3. -4

4. -56

Step-by-step explanation:

1. divide 108/-9

2. put n with -9 and divide 135/-9

3. divide -96/24

4. multiply -8 * 7 = -56 = n

Please answer correctly !!!! Will mark brainliest !!!!!!!!

Answers

Answer:

a.............

........

Answer:

A.

Step-by-step explanation:

So the d in this case is 2. D is the number of kilometers Erica walked.

T is the vertical distance.

Find the right choice:

After she had walked 2km along the trail, Erica's vertical distance from the top of the valley was equal to T kilometers.

This pattern repeats every 5 terms. The pattern is trapezoid, square, triangle, pentagon, square. What is the 17th term of this pattern?

a pattern of shapes, trapezoid, square, triangle, pentagon, square

A. Triangle
B. Square
C. Pentagon
D. Trapezoid

Answers

Answer:

Square

Step-by-step explanation:

If you give each of the figures a number, successively trapezoid = 1, square = 2, triangle = 3, pentagon = 4 and the second square = 5, then repeating this sequence will turn out that 17 is a square.

what is 5(2x + 3y) + 7(3x –y) simplified

Answers

Look at the attached picture

◖⚆ᴥ⚆◗

Answer: The answer is 31x+8y

Step-by-step explanation:

(5)(2x)+(5)(3y)+(7)(3x)+(7)(−y)

=10x+15y+21x+−7y

Combine Like Terms:

=10x+15y+21x+−7y

=(10x+21x)+(15y+−7y)

=31x+8y

You have set a goal to drink more water every day. Your water bottle holds 0.5 liters of water. In the equation below, b is the number of times you drink all the water in your bottle, and l is the number of liters of water you drink. The relationship between these two variables can be expressed by the following equation: l=0.5b.
Identify the dependent and independent variables.

Answers

Answer:

The independent variable is b and the dependent variable is l

Step-by-step explanation:

The independent variable is b and the dependent variable is l

The independent variable is the one you change, and the dependent variable is changed when you  alter the independent variable

√(81+18√(7)+7)
(not decimal form)

Answers

Answer:

[tex]\huge\boxed{\sqrt{81+18\sqrt7+7}=9+\sqrt7}[/tex]

Step-by-step explanation:

[tex]\sqrt{81+18\sqrt7+7}=(*)\\\\81=9^2\\7=(\sqrt7)^2\\18\sqrt7=(2)(9)(\sqrt7)\\\\(*)=\sqrt{9^2+(2)(9)(\sqrt7)+(\sqrt7)^2}\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=\sqrt{(9+\sqrt7)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|9+\sqrt7|=9+\sqrt7[/tex]

What is the completely factored form of 3x^5-7x^4+6x^2-14x?

Answers

Answer:

x(x - 7)(x^3 + 2)

Step-by-step explanation:

Note that x is a common factor here:

3x^5-7x^4+6x^2-14x  =  x(3x^4 - 7x^3 + 6x - 14), or:

x(3x^4 - 7x^3 + 6x - 14)     Note that 6x - 14 can be rewritten as 2[x - 7]

                                          and that 3x^4 - 7x^3 can be rewritten as x^3[x - 7]

Therefore, x(3x^4 - 7x^3 + 6x - 14 becomes:

x(x - 7)(x^3 + 2)

Identify 2 objects you could find in a grocery store that hold less than 100 millimeters.

Answers

Toothpaste and food coloring

What is the perimeter of this square?

Answers

Answer:

144 cm

Step-by-step explanation:

P=4l

P=4*36

P=144 cm

Answer:

144 cm

Step-by-step explanation:

Since the shape is a square, all the lengths are the same. so to solve, add all the lengths together. Either (36+36+36+36) or 36*4. 36*4=144. So, the answer is 144 cm

If x=12 and y=3, what is the value of x−y2?

6
18
3
81

Answers

Answer:

6 OR 3. Read explanation

Step-by-step explanation:

12-(3*2)=12-6=6

But I am guessing there may be a formatting error and you are trying to find y^2, so here goes.

12-(3^2)=12-9=3

Hope I patched up the holes. Good luck with homework :)

18..... 12-3= 9 9(2)= 18

6....... 12-(3x2)= 12-6=6

PLease Solve Quick 20 points! brainiest to whoever answers first and correctly!

The function f satisfies
f(sqrt(x+1))=1/x
for all x>=-1.

Find f(2)

Answers

Answer:

f(2)=1/3

Step-by-step explanation:

x=3

f(sqrt(3+1))=1/3

f(sqrt(4))=1/3

f(2)=1/3

Dan bought four candy bars for a total $24.96. How much did each candy bar cost? Thank you

Answers

Answer:

Each one is $6.24

Step-by-step explanation:

You have to divide 24.96 by 4

Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width. What are the approximate dimensions of the rug? Round each dimension to the nearest tenth of a foot.
A) 10.4 feet by 7.4 feet
B) 11.1 feet by 8.1 feet
C) 13.4 feet by 10.4 feet
D) 14.1 feet by 11.1 feet

Answers

The correct answer is d. Please give me brainlest I hope this helps let me know if it’s correct or not okay

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).

The line y = –8 is .

The line perpendicular to the line y = –8 is .

The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is .

Answers

Answer:

x = - 4

Step-by-step explanation:

y = - 8 is the equation of a horizontal line parallel to the x- axis.

A perpendicular line must then be a vertical line parallel to the y- axis.

The equation of a vertical line is x = c

where c is the value of the x- coordinates it passes through.

The line passes through (- 4, - 2) with x- coordinate - 4, thus

x = - 4 ← equation of perpendicular line

Answer:

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).The line y = –8 is ✔ horizontalslantedvertical.The line perpendicular to the line y = –8 is horizontalslanted✔ vertical.The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is ✔ x = –4y = –4x = –2y = –2.

Step-by-step explanation:

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).The line y = –8 is ✔ horizontalslantedvertical.The line perpendicular to the line y = –8 is horizontalslanted✔ vertical.The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is ✔ x = –4y = –4x = –2y = –2.

How many triangles can you make if you are given these three lengths for sides

Answers

Answer:

a lot of triangles

Step-by-step explanation:

hope this helps please give me brainiest

Answer:

In traditional power stations, the original energy source spins a turbine which connects to an electric generator. The generator converts mechanical energy into electrical energy. This working is based on which fundamental principle of physics?

A.

Newton’s law

B.

Ohm’s law

C.

Stoke’s law

D.

Faraday’s law

Step-by-step explanation:

Solve the equation using the distributive property and properties of equality

-5 (a + 3) = -55

What is the value of a?

Answers

Answer:

8

Step-by-step explanation:

1. distribute -5a-15= -55

2. get rid of -15 by adding 15 to both sides of the equation

-5a=-40

3. divide each side by -5 to get a

a=8

What is a quartile of 35, 45, 50, 65,85

Answers

Answer:

Lower quartile: 21.5

Median: 45

Upper quartile: 57.5

Step-by-step explanation:

pls mark brainliest

PLEASE HELPPPP!!!!!!

Answers

Answer:

C = 3 √ 5

(since 9 is a perfect square), we can simplify radical 45 to 3 times radical 5

B √ 9*5 is true but not simplified.

We need to find a square numbers that divide into 45

We find 9

And show a * b = c

c= 45

so a * b = 9 * 5  = 3√ 5 is how we arrange this to simplify.

Step-by-step explanation:

The list is

1, 4, 9, 16, 25, 36, 49, 64, 81, 100

We see there are 10 perfect squares 1-100

5 are 1-25

then think 6 , 7, 6 , 9 ,10 squared/ if you cant list them too quickly.

A recipe uses 4 c of rice to every 5 c of beans. How many cups of beans are needed for 10 c of rice?

Answers

Answer:12.5

Step-by-step explanation:

10 c of rice is 2.5x the recipe, so you just have to multiply 5 x 2.5 to the amount of beans.

Skis at a sports store near Snow Summit are on sale for $475. If the original price was $500,what discount rate(percent change) does this represent?

Answers

Answer: 5%

Step-by-step explanation:

Hi to answer this question, first we have to calculate the discount amount:

Original price - sale price

500-475 =25

Now, the original price (500) multiplied by the percent discount in decimal form (x) must be equal to the discount amount (25)

500x =25

Solving for x

x =25/500 =0.05

Multiply it by 100 to express in percentage form.

0.05 x 100 = 5%

Feel free to ask for more if needed or if you did not understand something.

Using the dot plot, describe the members of the math
club
x
Ages of Math Club Members
+
9
+
10
+
11
12
13
I need help

Answers

There are 9 members in the math club

From the dot plots, we have the following frequency distribution

Age 9 = 2Age 10 = 0Age 11 = 1Age 12 = 2Age 13 = 4

So, the total member of the math club is:

[tex]Total = 2 + 0 + 1 + 2 + 4[/tex]

Add all terms, in the above equation

[tex]Total = 9[/tex]

Hence, there are 9 members in the math club

Read more about dot plots at:

https://brainly.com/question/9779159

Answer: The math club has 8 members. The youngest member is 9. The oldest member is 13. Therer is a cluster between 11 and 13, with a peak at 13. There is a gap at 10.

Step-by-step explanation:

The question says “write with prime number base” and the question is 8 square root 32 (7,d)

Answers

Answer:

[tex]2^{\frac{11}{2}}[/tex].

Step-by-step explanation:

We need to write the given expression with prime number base.

In question 7, part d.

The given expression is

[tex]8\sqrt{32}[/tex]

It can be rewritten as

[tex]2^3\sqrt{2^5}[/tex]

Using properties of exponents , we get

[tex]2^3(2^5)^{\frac{1}{2}}[/tex]

[tex]2^3(2^{\frac{5}{2}})[/tex]    [tex][\because \sqrt[n]{x}=x^{\frac{1]{n}}][/tex]

[tex]2^{3+\frac{5}{2}}[/tex]    [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]2^{\frac{6+5}{2}}[/tex]    [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]2^{\frac{11}{2}}[/tex]

Here, base is 2 and it is prime number.

Therefore, the required expression is [tex]2^{\frac{11}{2}}[/tex].

Which of the following represents the sum of the series below 4+7

Answers

4+7 equals 11 hope this helps !!!

Answer:

The sum is addition -----  11 is the answer

Step-by-step explanation:

Which best describes the sides of all trapezoids?

All sides are different lengths.

. Only one pair of sides is parallel.

o Opposite sides are parallel.

O All sides are the same length.

Answers

Answer:

only one pair of sides is parallel

do the ratios 1/3 and 2/9 form a proportion

Answers

Answer: No they don't because there is not way 1/3 can be multiplied by a number to get  2/9 and there is no way 2/9 can be divide by any number to get 1/3.

Step-by-step explanation:

Answer:

they do!

Step-by-step explanation:

2/9 / 1/3 = 3/6 = 1/3

So the proportion is 2 to 1

5. The length of a rectangular sign is 6 inches more than half its width. The area of the sign is 432 square
inches. Find the dimensions of the sign.​

Answers

Answer:

X = 13.2

Step-by-step explanation:

W = x

L = 2x + 6

A = 432in^2

x(2x + 6) = 432

2x^2 + 6x = 432

Answer:

x=13.2

Step-by-step explanation:


Which graph can be used
find the solution for the equation 4x + 2 = x+ 37
Hover over answer image to enlarge


sorry if the image is hard to read. the blue in D in going down the origin.​

Answers

its hard to read the graph

find the area of the trapazoid

Answers

Answer:

7.5 square units

Step-by-step explanation:

Since one of the  bases of the trapezoid is 4 units long and the other is 1 unit long, while the height is 3, the area of the trapezoid is (4+1)/2 * 3=2.5*3=7.5. Hope this helps!

Answer:

13.5

Step-by-step explanation:

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