1) Explain the Distributive Property in your own words.

2) Give an example that shows how to use the Distributive Property to rewrite a one-variable expression.

Answers

Answer 1

Answer:

The Distributive Property states that when a number in parentheses is next to a number, you distribute the number outside of the parentheses and multiply by each of the numbers in parentheses.

5(10+x)=5(10)+5(x)=50+5x

:)


Related Questions

which point is a solution to the solution≤8x-3

Answers

Answer:

-24

Step-by-step explanation:

8×-3=-24

hope you understood

How many terms are in the following expression 55+ 14n -2m +3p

Answers

Answer:

4 terms

Step-by-step explanation:

There are 4 terms in the given expression:

=> 55

=> 14n

=> -2m

=> 3p

What is the value of a?

Answers

Answer:

6sqrt(2)

Step-by-step explanation:

Use the right angle altitude theorem.

4/a = a/18

a^2 = 4 * 18

a^2 = 2 * 36

a = 6sqrt(2)

A=6sqrt(2) hope it helped

the diagram shows a right angled triangle use pythagoras theorem to work out length of side ac

Answers

Answer:

Step-by-step explanation:

Using Pythagoras theorem,

AC^2 = AB^2 + BC^2

AC^2 = 4^2 + 15^2

AC^2 = 16 + 225

AC^2 = 241

AC = √241

A department store wants to know what motivated customers to visit their store on that particular day. Since 80
percent of the customers are male, researchers have decided to collect a __ by ensuring that 8 out of every 10
survey participants are male.

Answers

Answer:

sample.

Step-by-step explanation:

It is given that a department store wants to know what motivated customers to visit their store on that particular day.

We need to fill the blank.

Since 80 percent of the customers are male, researchers have decided to collect a ____ by ensuring that 8 out of every 10  survey participants are male.

For survey, researchers need small part of whole data, i.e., sample.

So, the required answer is "sample".

Since 80 percent of the customers are male, researchers have decided to collect a sample by ensuring that 8 out of every 10  survey participants are male.

Since 80 percent of the customers are male, researchers have decided to collect an erroneous sample by ensuring that 8 out of every 10 survey participants are male. This is a sampling error.

What is a Sampling Error?

A sampling error can arise when the said sample is not representative of the entire population as is in the case of the example above.

To eliminate the statistical error, the sample must be collected in such a way that the probability of every member of the population being included in the sample is equal to 1.

Learn more about sampling errors at:
https://brainly.com/question/5137866

in which number does the digit 5 have a value that is 10 times as great as the digit 5 in the number 4.59?

Answers

Answer:

2775.9  

Step-by-step explanation:

options are

A) 578

B) 2775.9

C) 134.591

D) 31.757

Value of digit 5 in 4.59 is 0.5 as is is at tenth place after decimal

0.5 = 5/10

ten times of this value = 5/10*10 = 5

Thus, 5 is the value, and hence the number which we require should be at unit place of the required number.

In the given question

A) 578

here 5 is at hundredth place

other way to represent is is 500+70+8

B) 2775.9

here 5 is unit place and is correct option

it can be represented as

2000+ 700+ 70+ 7 + 9/10

c)C) 134.591

here 5 is tenth place after decimal

it can be represented as

100+ 30+ 5 + 5/10+9/100 + 1/1000

d)31.757

here 5 is hundredth place after decimal

it can be represented as

30+ 1 + 7/10+5/100 + 7/1000\

Hence, 2775.9  is correct choice.

32. The expression a^x means that a is to be used as a factor x times. Therefore, if a^x is squared, the result is

A) a^x^2
B) a^2^x
C) 2a^2^x
D) 2a^x

Answers

Answer:

B. a^2x

Step-by-step explanation:

squaring a^x gives. (a^x)²

by applying the rules of indices, ^2 multiplies x therefore making it a^2x

Trying to find the missing segment to the triangle in the attached image.

Answers

Answer:

44 units length

Step-by-step explanation:

The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally. Therefore:

20/10 = x/22

20/10*22 = x

44 = x

What is the simplest form of 3/27a2b7?
3ab? (VD)
3abº (V3ab
O gab? (VD)
9ab33ab
Can someone help me plz?:)

Answers

Answer:

the solution is A

Step-by-step explanation:

[tex]\sqrt[3]{27a^{3}b^{7} } \\[/tex]

[tex]\sqrt[3]{(3)^3(a^3)(b^6)b}\\\\3ab^2\sqrt[3]{b}[/tex]

Answer:

3ab^2(3/b)

THE ANSWER A

Step-by-step explanation:

2020 HEHE

The degree of the polynomial function f(x) is 4. The roots of the equation f(x)=0 are −2, −1, 1 and 3.

Answers

Answer:

f(x) = x^4 - x^3 - 7x^2 + x + 6

Step-by-step explanation:

Please, always share the instructions with every question you post.  I am assuming that you are to write out the factors corresponding to the given roots, thus constructing a 4th degree polynomial, and then performng the multiplication necesssary to produce that polynomial with terms in descending order by power of x.  Note that there must be 5 such terms.

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

Multiplying this out, we get:  

f(x) = (x + 2)(x^2 - 1)(x - 3), or

f(x) =      (x^3 - x + 2x^2 - 2)(x - 3), or:

f(x) = (x^3 + 2x^2 - x - 2)(x - 3), or:

f(x) = x^4 + 2x^3 - x^2 - 2x - 3x^3 - 6x^2 + 3x + 6

Combining like terms, we get:

f(x) = x^4 - x^3 - 7x^2 + x + 6

Note that because this is a 4th degree polynomial, the end behavior resembles that of the graph of y = x^4.  As x increases, y initially decreases in Quadrant II, passes through the y-intercept (0, 6), and then increases without bound in Quadrant I.

what is pi rounded to the nearest 15th

Answers

Answer:

3.1415926535 8979

Step-by-step explanation:

bruh just search it in google

С
Use the geometric mean (leg) theorem. What is the
value of a?
b
A
0 72
h
02770
6
a
O 2015
705
14
B
Intro
Done

Answers

Answer: it is a

Step-by-step explanation:

Find the measure of the angel. n=_°

Answers

Answer:

n = 25°

Step-by-step explanation:

All interior angles of a triangle add up to 180°. We already know one of the angles is 90°, so we can build an equation:

90 + (n + 40) + n = 180.

Then we combine like-terms and subtract:

130 + 2n = 180,

2n = 50.

Then we divide by 2 to get our answer:

n = 25.

To double check, we insert 25 as our value:

90 + (40 + 25) + 25 = 180.

literally a free 50 points, just need the answer, What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?

Answers

Answer:

n = 1/2

Step-by-step explanation:

So the equation is 4/5n - 1/5 = 2/5n.

So, the first thing that we need to do is get the variable on one side.

So, to do that we need to subtract 4/5n on both sides.

Now our equation is -1/5 = -2/5n

Now the last step is to simplify.

To do that, we need to multiply by the reciprocal of 2/5 on both sides.

That leaves us with 1/2 = n

Answer:

n = 2

Step-by-step explanation:

=> [tex]\frac{4}{5n} - \frac{1}{5} = \frac{2}{5n}[/tex]

Combining like terms

=> [tex]\frac{4}{5n } - \frac{2}{5n} = \frac{1}{5}[/tex]

=> [tex]\frac{4-2}{5n} = \frac{1}{5}[/tex]

=> [tex]\frac{2}{5n}= \frac{1}{5}[/tex]

Cross Multiplying

=> 5n = 2*5

=> 5n = 10

Dividing both sides by 5

=> n = 2

In the proportionm 1/Z 4/5/8 which number is equal to Z in the proportion?

Answers

Answer:

Z = 8

Step-by-step explanation:

4 5/8 = 37/8

1/Z = 37/8

So..

Z = 8

Hope this helps! :)

A sequence of transformations is described below.
A dilation about a point P
A rotation about another point Q
A vertical stretch about the horizontal line PQ
A reflection over a line PQ

Answers

Answer: Neither angle measures nor segment lengths

To fill up a car with 16 gallons cost $30.24. Which of the following is an equation that determines the
cost c for g gallons of gas?

Answers

Answer:

30.24/16= $1.89 per gallon = c/g

Step-by-step explanation:

c = $30.24

g = 16

Divide c/g

Answer:

g gallon = $1.89 g

Step-by-step explanation:

Gallon = g

16 gallons = 16 g

Cost = $30.24

So,

16 gallons = $30.24

1 gallon = $30.24/16

1 gallon = $1.89

g gallon = $1.89 g

Standing on the roof of her apartment building, the top of Carla’s head is 15 yards above the ground.
She spots a curb 20 yards from the base of the building. What is the height of the flagpole?

Answers

Answer: 9 yards

Step-by-step explanation:

The proportion x/15 = 12 / 20 ||| X * 20 = 20X ||| 12 x 15 = 180 ||| 180 / 20 = 9

There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. How many ways can we choose a Senator from a chosen state?

Answers

Answer:

  2

Step-by-step explanation:

A state has 2 senators, so once you choose the state, there are 2 ways you can choose a senator from that state.

I need help I don't understand I was on a streak and now this stupid problem is just unsolvable I just want to finish this stupid work and play gtao

Answers

Answer: 1:2

Explanation:

Area of rectangle A: 48

Area of rectangle B: 96

48/96 = 4/8 = 1/2

Ratio of the area of rectangle A and B is 1:2

Answer:

the ratio is 1:3

Step-by-step explanation:

A car travels at 60 miles per hour. If d is the distance traveled and t is the time in hours: Write a function for the distance traveled d in t hours. What is the dependent variable? What is the independent variable? Make a table with at least 5 coordinate pairs. Graph the coordinate pairs and draw the function

Answers

Answer:

Step-by-step explanation:

d= distance

t= time

The independent variable is t, time. The distance the car travels depends on the time in hours spent travelling. The dependent variable is d, distance. Here is a table with 5 coordinate pairs that can be used.

(T)        (D)

1           30

2          60

3          90

4         120

5         150

These are the coordinate pairs for the function. When we use division and determine the rate of change, we can determine that the average rate of speed (MPH) is 30 MPH.

Need help finding the missing length to the attached triangle.

Answers

Answer:

1500

Step-by-step explanation:

Let the length of the perpendicular dropped from the right angle to the hypotenuse be h units.

Now by geometric mean property:

[tex]h = \sqrt{1600 \times 900} \\ h = 40 \times 30 \\ h = 1200 \: units \\ Next \: by \: Pythagoras \: Theorem: \\ {x}^{2} = {h}^{2} + {900}^{2} \\ {x}^{2} = {1200}^{2} + {900}^{2} \\ {x}^{2} = 1440000 + 810000 \\ {x}^{2} = 2,250,000 \\ x = \sqrt{2,250,000} \\ \huge \red{ \boxed{x = 1500\: units }}[/tex]

Answer:

1500

Step-by-step explanation:

Use the right triangle altitude theorem.

x/900 = 2500/x

x^2 = 900 * 2500

x = sqrt(900 * 2500)

x = 30 * 50

x = 1500

Rohit visited a pumpkin patch with his family. The table shows the relationship between the weight and price of a pumpkin.

A table titled Pumpkin Patch Sales with two columns and six rows. The first column, Weight in pounds, has the entries, 4, 8, 12, 16, 20. The second column, Price in dollars, has the entries, 6, 12, 18, 24, 30.

Which statement describes the slope of a graph of the data?

For each additional pound, the price increases $0.50.
For each additional pound, the price increases $1.50.
For every additional dollar, the pumpkin can increase by 1.5 pounds.
For every additional dollar, the pumpkin can increase by 0.5 pounds.

Answers

Answer:

For each additional pound, the price increases $1.50.

Step-by-step explanation:

Lets find the slope of the graph of othe given data.

Let x be the weight of pumpkin in pounds

Let y be the price of the pumpkin in dollars.

For 4 pound pumpkin the price is 6 dollars, so first point is (4,6)

For 8 pound pumpkin the price is 12 dollars, so first point is (8,12)

Find the slope between these points

m = y₂ - y₁ / x₂ - x₁

m = 12 - 6 / 8 -4

m = 6/4

m = 1.5

Which means that for every pound increase in weight, the price of pumpkin increases by 1.5 dollars

Answer:

B

Step-by-step explanation:

The question and pic is on the picture I took a picture of

Answers

Answer:

m<y = 155

Step-by-step explanation:

If m<x = 155, then m<y = 155 (Because vertically opposite angles are congruent)

Answer:

155°

Step-by-step explanation:

The two angles are a pair of vertically opposite angles.

Verticall opposite angles are opposite to each other and are equal.

Angle x = Angle y

155 = 155

which expression is equivalent to 3 1/3?

Answers

Answer:

your answer is "A" 1/3

Step-by-step explanation:

Based on the graph, what is the initial value of the linear relationship?

A coordinate plane is shown. A line passes through the x axis at negative 3 and the y axis at 5.

−4
−3
five over three
5

Answers

Answer:  The slope is five over three

Step-by-step explanation:

The equation for this graph would be:  y= 5x/3 +5

Answer:

5

Step-by-step explanation:

Initial value is basically another way to say the y intercept. I mean if you think about it, most word problem linear relations start the graph at the y intercept.

Hope this helps :)

The points plotted below satisfy a polynomial. In what ranges of x-values must there be a root of the graph? Check all that apply. I will mark brainliest!​

Answers

Answer:

not sure,but I think the answer is 3 to 4

Please help me out i need it ASAP

Answers

Answer: C

Step-by-step explanation:

5 squareroot 2 = 7.07 which if you look up a 45 45 90 triangle calculator it is also eqivelant :)

Your answer will be letter d

PROBABILITY. 22 chocolate bars total. 3 Mr.Good bars, 7 Krackel bars, and 12 Hershey’s bars. You are going to grab 7 bars WITHOUT replacement. Express answers in decimal form, round to at least 4 decimal places. 1: P(3 Mr.Good bars and 4 krackel bars)? 2:P( 3 Krackel bars and 4 Hershey’s bars)? 3: P(none of the 7 are Hershey bars)?

Answers

Answer:

.7

Step-by-step explanation:

Consider functions f and g below. [tex]g(x) = -x^{2} + 2x + 4[/tex] Which of the following statements is true? A. As x approaches infinity, the values of f(x) and g(x) both approach infinity. B. As x approaches infinity, the values of f(x) and g(x) both approach negative infinity. C. As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. D. As x approaches infinity, the value of f(x) approaches negative infinity and the value of g(x) approaches infinity.

Answers

As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. Then the correct option is C.

What is the parabola?

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

Where a is the leading coefficient.

Consider functions f and g below.  

g(x) = –x² + 2x + 4

The function can be written as

g(x) = –(x – 1)² + 5

As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity.

Then the correct option is C.

More about the parabola link is given below.

https://brainly.com/question/8495504

#SPJ2

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