Which of the following expressions demonstrates the distributive property?
3 + 4 + 5 = 4 + 3 + 5
-2(5 + 7) = -2(7 + 5)
O 3(-8 + 1) = 3(-8) + 3(1)
6[(7)(-2)] = [(6)(7)](-2)

Answers

Answer 1

Answer:

3(-8 + 1) = 3(-8) + 3(1)

Step-by-step explanation:

The distributive property is quite literally when you distribute numbers. This is the only instance of that happening here

The first two are the communitive property of addition, and the last one is the communitive property of multiplication.

Cheers.

Answer 2

Answer:

c

Step-by-step explanation:


Related Questions

What is the rate of change and initial value for the linear relation that includes the points shown in the table?
ху
1 20
3 10
5 0
7 -10
Initial value: 20, rate of change: 10
Initial value: 30, rate of change: 10
Initial value: 25, rate of change: -5
Initial value: 20, rate of change: -10

Answers

Answer:

Initial Value: 25, Rate of change -5.

First. Lets find the rate of change.

y2-y1/x2-x1 = m

We have A(1,20) B(3,10)

10-20/3-1=-5

m=-5(Rate of change)

Now let's find the initial value using slope-point form.

y-y₁=m(x-x₁)

y-20=-5(x-1)

=-5x+5+20

=-5x+25

The initial value is the value of y when the value of x is equal to 0. (Also the Y-Intercept)

Initial Value = -5(0)+25

=25

Isabelle bought some stationery.1/3 of them. Were pencils.5/8 of the remainder were erasers and the rest were rulers.The table shows the cost of each stationery,Pencil:$1.20,Eraser:$1,Ruler:$0.50. She spent a total of $169.50 on all the stationery. a)What fraction of the stationery bought was rulers? b)How much more did she spend one erasers than rulers?

Answers

Answer:

1/4 ; $28.25

Step-by-step explanation:

Given the following :

Cost of stationeries:

Pencil:$1.20

Eraser:$1

Ruler:$0.50

Total : $169.50

Let total Stationeries purchased = t

Fraction of pencils = 1/3t

Remainder = t - 1/3 = 2/3t

Fraction of eraser = 5/8 of remainder

Thus ;

Fraction of eraser = 5/8 * (2/3)t= 10/24 = (5/12)t

Rest were ruler ;

(2/3)t - (5/12)t= (8 - 5)/12

= 3 / 12 = 1/4t

Fraction of rulers = 1/4

Amount spent on erasers:

(5/12) of the total cost of stationery

(5/12) * 169.50 = $70.625

B.) How much more did she spend on erasers than rulers

Amount spent on rulers :

(1/4) * $169.50 = $42.375

Take the difference :

$(70.625 - 42.375) = $28.25

The growth of a population of mountain lions can be described by the function f(x) = 500(1.015)^x, where x is the number of years after the first census. How do the mathematical domain and range compare to the reasonable domain and range? Check all that apply. Thank you!

Answers

Answer:

B E

Step-by-step explanation:

Answer:

B. The mathematical domain is the set of real numbers, while the reasonable domain only includes real numbers greater than or equal to 0.

E. The mathematical range has a minimum value greater than 0, while the reasonable range is limited to whole numbers and has a minimum value greater than or equal to 500.

Step-by-step explanation:

Edge 2021

A rectangular playing field is twice as long as it is broad. If its area is 0.5294km2, find in Km, the perimeter of the field.

Answers

let Length be [tex] l [/tex] be $b$ ,

given : $l=2b$

and area, $lb=0.5294$

put $l=2b$ in equation of area,

$2b^2=0.5294 \implies b^2=0.2647 \implies b=0.5144$

and $l=1.0288$

perimeter =$2(l+b)=3.0864$ km

The perimeter of the field will be equal to 3.0864 km.

What is a perimeter?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. The perimeter of the rectangle is the sum of all the sides of the rectangle.

It is given that a rectangular playing field is twice as long as it is broad. If its area is 0.5294 square km.

The perimeter of the field will be calculated as below:-

let Length be b

l=2b

l x b=0.5294

Put l=2b in the equation of area,

2b²=0.5294

b² =0.2647

b=0.5144 and l=1.0288

The perimeter will be calculated as:-

perimeter =2(l+b)=3.0864 km

Therefore, the perimeter of the field will be equal to 3.0864 km.

To know more about perimeter follow

https://brainly.com/question/19819849

#SPJ2

please help :) (1) We went to the Museum of Natural Science to see the new gem exhibit. (2) The display included and showed minerals from all over the world. (3) The most impressive part of the show was the extensive display of diamonds and other precious stones. Which revision makes one of the sentences more concise? A. Sentence 1: Delete the word “gem.” B. Sentence 2: Delete the phrase “and showed.” C. Sentence 3: Change “impressive” to “interesting.” D. Sentence 3: Change “show” to “exhibit.”

Answers

Answer

B. Sentence 2: Because included, and showed is the exact same thing so B

Step-by-step explanation:

Answer:

just so other guy can have brainlest

Step-by-step explanation:

A radio-active atom has a half-life of a day. This means that it decays by 1/2 each day. Write an equation for this expinential function if you start with 64 grams

Answers

Answer:

y = 64(0.5)ˣ

Step-by-step explanation:

We can write this as an exponential decay function. The formula for that is y = a(1 - b)ˣ where a is the initial value and b is the decay factor. In this case, a = 64 and b = 1/2 or 0.5 so the final answer is y = 64(0.5)ˣ.

The population of fruit flies tripled every day and the population today is 200 fruit flies.
a) Write an equation modeling the growth in the population of fruit flies.
b) What was the population of fruit flies 3 days ago?

Answers

Answer:

Equation = 600nNumber of fruit flies after 3 days = 1800 fruit flies

Step-by-step explanation:

Given:

Number of fruit flies = 200

Rate of growth = 3 times per day

Find:

A . Equation

B . Number of fruit flies after 3 days

Computation:

A . Equation = 3n(200)

Equation = 600n

B. Number of fruit flies after 3 days

Number of fruit flies after 3 days = 600(3).

Number of fruit flies after 3 days = 1800 fruit flies

Please help me with this problem. I will give brainliest!

Answers

Answer:

centre = (11, 0 ), radius = 3

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - h)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

(x - 11)² + y² = 9 ← in standard form

with (h, k ) = (11, 0 ) and r² = 9 ⇒ r = [tex]\sqrt{9}[/tex] = 3

centre = (11, 0 ) and r = 3

Choose all answers that apply
A -x + (-x) = 0
B x - (-x) = 0
C none of the above

Answers

Answer:

c

Step-by-step explanation:

none of the above

C none of the above

because x-(-x)=x+x=2xand

-x+(-x)= -x-x=-2x

so answer is 'C' none of the above

Msr walkers class set up an online fund with a goal to raise 1280

Answers

Answer: is brainly broken for u too??

Step-by-step explanation:


An_ is the set of numbers that include negative numbers
and the subset of_ numbers (...-3, -2, -1, 0, 1, 2, 3...). Also
described as positive numbers and their opposites and zero.
Blank 1:
Blank 2:​

Answers

Answer:

Integer, rational

Step-by-step explanation:

An integer is normally described as a positive and their opposites and zero. The explaination for blank 2 is a rational number because a rational number can also be an integer and a whole number. Hope this helps!

Answer:

Step-by-step explanation:

The answer is integer. Integer are whole numbers that are either positive or negative including 0.

13. If x + y + z-0 then x+y+z'is equal to:
(a) 3xyz
(b) - 3xyz
(c) xy
(d)-2xy​

Answers

Answer:

a

Step-by-step explanation:

(x³ + y³ +z³) - 3xyz = (x + y + z )(x² +y² +z² - xy -yz - zx)

If x +y + z = 0, then

(x³ + y³ +z³) - 3xyz = 0 *(x² +y² +z² - xy -yz - zx)

(x³ + y³ +z³) - 3xyz = 0

(x³ + y³ +z³)  =  3xyz

Zula has a conical bird feeder with a volume of 64.3 cubic centimeters and a height of 7 centimeters. Which equation can be used to find the area of the circular lid needed to cover the bird feeder?

Answers

Answer: [tex]64.3=\frac{1}{3}(B)(7)[/tex]

Step-by-step explanation:

[tex]V=\frac{1}{3} Bh[/tex]

B is the area of the base

h is the height of the cone

[tex]V=64.3 cm^3[/tex]

[tex]h=7cm[/tex]

[tex]64.3=\frac{1}{3}(B)(7)[/tex]

[tex]192.9=(B)(7)[/tex]

[tex]B=192.9/(7)[/tex]

[tex]=27.56cm^2[/tex]

Dubai Mall and Deira City Centre are equidistant from Wafi Mall. Considering Wafi Mall as origin, the position of Deira City Centre is ( 0,7). If the ordinate of the position of Dubai Mall is zero, then write the coordinates of the position of Dubai Mall.

Answers

they're equidistant, so distance should be equal.

distance of City centre is [tex]\sqrt{0^2+7^2}=7[/tex]

distance of mall is simply $x$. (ordinate is 0, means the point is on x axis , and that's the distance from origin)

thus, $$x=7$$

Joshua remembered he had a coupon in his pocket that would take and additional 30%off the price of the shirts. Calculate the new total cost of the shirts including a sales tax of 6.5%​

Answers

Answer:

New cost of the shirt=$39.028416

Step-by-step explanation:

Target is having a Back to School sale where all polo shirts are discounted by 20%. Joshua wants to buy five shirts: two cost $10.98 each, one costs $11.50, and two others cost $15.99 each. Joshua remembered he had a coupon in his pocket that would take an additional 30% of the shirts. Which choice represents the new total cost of the shirts including the sales tax of 6.5%

Solution

Two shirts cost=$10.98 each

One shirt cost=$11.50

Two shirts cost=$15.99 each

Total cost of shirts=(2*$10.98 + $11.50 + 2*$15.99)

=$21.96 + $11.50 + $31.98

=$65.44

All polo shirts are discounted by 20%

It means he would pay 100%-20% of the total cost

100%-20%=80%

Discounted price=$65.44 * 80%

=$65.44 * 0.8

=$52.352

He has a coupon of 30% off the shirt

100% -30%=70%

=$52.352*70%

=$52.352 * 0.7

=$36.6464

Plus Sales tax of 6.5%

6.5% of $36.6464

=0.065* $36.6464

=$2.382016

New cost of the shirt=$36.6464 + $2.382016

=$39.028416

Erica can run 1 / 6 fraction of a kilometer in a minute. Her school is 3 / 4 of a kilometer away from her home. At this speed, how long would it take Erica to run home from school? answer quick plz

Answers

Answer:

the result is 4.5 minutes.

- Erica runs 1/6 km in a minute.

- The school is 3/1 km away from her home.

Step-by-step explanation:

20. A pool holds 1440 CUBIC feet of water, the aty
charges $). 15 per cubic meter of water
used now, much will it cost to fill the pool?

Answers

Complete question :

A pool holds 1440 cubic feet of water, the city charges $1.75 per cubic meter of water used.

How much will it cost to fill the pool?

Answer:

$71.36

Step-by-step explanation:

Amount charged per cubic meter = $1. 75

Total volume of pool = 1440 ft^3

Using the conversion unit chart :

1 cubic meter = 35.3147 cubic foot

Then we can express the capacity of water held by the pool in cubic metre.

If 1 cubic meter = 35.3147 cubic foot

Then ;

y cubic meter = 1440 cubic foot

y = 1440/35.3147

y = 40.776220 cubic meter

Thus;

Cost of filling the pool will be;

$1.75 × 40.776220

= $71.358386

= $71.36

MATH QUESTION: Julie bought a bag of parsnips that weighed 4 2/7 pounds. She also bought a bag of turnips that weighed 1 1/3 times as much as the parsnips. How many pounds of turnips did Julie buy? Express your answer as a simplified mixed number.

Answers

Answer:

Julie buy [tex]5\frac{5}{7}[/tex] pounds of turnips.

Step-by-step explanation:

We are given that Julie bought a bag of parsnips that weighed ([tex]4\frac{2}{7}[/tex]) pounds. She also bought a bag of turnips that weighed ([tex]1\frac{1}{3}[/tex]) times as much as the parsnips.

We have to find how many pounds of turnips did Julie buy.

Firstly, the weight of a bag of parsnips that Julie bought = [tex]4\frac{2}{7}[/tex] = [tex]\frac{30}{7}[/tex] pounds

Now, it is stated that she bought a bag of turnips that weighed ([tex]1\frac{1}{3}[/tex]) times as much as the parsnips, that means;

Weight turnips bag = [tex]\frac{4}{3} \times \frac{30}{7}[/tex]

                              = [tex]4 \times \frac{10}{7}[/tex]

                              = [tex]\frac{40}{7}[/tex]

So, Julie buy [tex]5\frac{5}{7}[/tex] pounds of turnips.

Find the length of the missing side. Leave your answer in simplest radical form. A. 296 ft B. 2[tex]\sqrt{74}[/tex] ft C. [tex]\sqrt{206}[/tex] ft D. [tex]\sqrt{26}[/tex] ft

Answers

Answer:

B

Step-by-step explanation:

Since this is a right triangle and we are given the two legs, we can use the Pythagorean Theorem.

The Pythagorean Theorem is:

[tex]c^2=a^2+b^2[/tex]

Where c is the hypotenuse (longest side) and a and b are the two legs.

Plug in 10 and 14 for a and b (it doesn't matter which one) and solve for c.

[tex]c^2=10^+14^2\\c^2=100+196\\c^2=296\\c=\sqrt{296}=\sqrt{4\cdot 74}=\sqrt4\cdot\sqrt{74}=2\sqrt{74}[/tex]

1.Solve by factorization method: x+1/x=11 1/11 2.Comment on the nature of roots for 4x^2-5=2(〖x+1)〗^2-7 plz, help...

Answers

Answer:

The equation

[tex]4\,x^2-5=2\,(x+1)^2-7[/tex]

can be solved by first expanding all indicated operations, and later when the constant terms disappear, by factoring out 2x , leaving the equation as a product of two factors equal zero, from which it is easy to extract the roots. See below.

Step-by-step explanation:

When solving for x in the following expression, and using factoring to apply at the end the zero product theorem:

[tex]4\,x^2-5=2\,(x+1)^2-7\\4\,x^2-5=2\,(x^2+2x+1)-7\\4\,x^2-5=2\,x^2+4\,x+2-7\\4\,x^2-5=2\.x^2+4\,x-5\\4\,x^2=2\,x^2+4\,x\\4\,x^2-2\,x^2-4\,x=0\\2\,x^2-4\,x=0\\2\,x\,(x-2)=0[/tex]

We observe that for the last product, to get a zero, x has to be zero (making the first factor zero), or x has to be "2" making the binomial factor zero.

Clinton is having a coin drive. Each class has a goal of 600 pennies.Layla has already collected 338 pennies. How many more pennies does Layla need to collect to reach their goal. PLEASE SHOW YOUR WORK I WILL MARK YOU BRAINLIEST PLEASE AND EXPLAIN HOW YOU GOT YOUR ANSWER

Answers

Answer:

262 pennies

Step-by-step explanation:

If Layla already has 388 pennies and she needs 600 pennies total, all she needs to do is is take the amount she already has away from 600:

what is the x intercept for y=(2x(x-3))/(x-1). ?

my answer sheet says it is supposed to be -0.5​

Answers

Answer:

( 0,0) and (3,0)

Step-by-step explanation:

y=(2x(x-3))/(x-1)

Set y = 0

0 =(2x(x-3))/(x-1)

Multiply each side by x-1, which makes x not equal to 1

0 =(2x(x-3))

Using the zero product property

2x=0  x-3 =0

x=0   x= 3

The x intercepts are x=0   x= 3

( 0,0) and (3,0)

Two numbers are in ratio 3 by 2 and their difference is 5 find numbers

Answers

Answer:

15,10

Step-by-step explanation:

let the numbers be 3x and 2x

3x-2x=5

x=5

∴ numbers are 3×5,2×5

or 15,10

PLEASE HELP, GIVING 55 POINTS IF YOU ANSWER (08.03/08.05 MC) A pair of equations is shown below: y = 3x − 5 y = 6x − 8 Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points) Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points)

Answers

Answer:

  A. (1, -2)

  B. the lines intersect at the solution point: (1, -2).

Step-by-step explanation:

A. The equations can be solve by substitution by using the y-expression provided by one of them to substitute for y in the other.

This gives ...

  3x -5 = 6x -8

Adding 8-3x to both sides, we get ...

  3 = 3x

Dividing both sides by 3 gives ...

  1 = x

Substituting this value into the first equation, we can find y:

  y = 3(1) -5 = -2

The solution is (x, y) = (1, -2).

__

B. The lines intersect at the solution point, the point that satisfies both equations simultaneously. That point is (1, -2).

Soda Tak claims that Diet Tak has 40mg of sodium per can. You work for a consumer organization that tests such claims. You take a random sample of 60 cans and find that the mean amount of sodium in the sample is 41.9mg. The population standard deviation in all cans is 5.2mg. You suspect that there is more than 40mg of sodium per can. Find the z-score.

Answers

Answer:

Z - score = 2.83

Step-by-step explanation:

Given the following :

Number of samples (N) = 60

Sample mean (x) = 41.9mg

Population mean (μ) = 40mg

Population standard deviation (sd) = 5.2

Using the relation :

Z = (x - μ) / (sd / √N)

Z = (41.9 - 40) / (5.2 / √60)

Z = 1.9 / (5.2 / 7.7459666)

Z = 1.9 / 0.6713171

Z = 2.8302570

Therefore, the z-score = 2.83

Which equation does NOT graph a line? A) y = 5 B) y = -3x3 C) y = 2/3 x D) y = −8x That 3 in b is an exponent btw

Answers

Answer:b

Step-by-step explanation:

Rocket science

darious buys a bottle of chemical solution that contains 70% alcohol. the bottle contains 500 ml of solution. how many ml of alcohol r in the solution

Answers

Answer:

350 ml of alcohol

Step-by-step explanation:

70% = 70/100 = 0.7

70%  of 500 ml is:

500*0.7 = 350 ml

there are:

350 ml of alcohol

Bernita and Derek each plot a number on a number line. the numbers are unique but have the same absolute value. the sum of the absolute values of the numbers is 50. what are the two numbers

Answers

Answer:

  -25, 25

Step-by-step explanation:

Since the numbers have the same absolute value and the sum of their absolute values is 50, they both must have an absolute value of 50/2 = 25.

Unique numbers with the same absolute value will have opposite signs.

The numbers are -25 and 25.

Helena builds a shed in her backyard. There is a larger section for large tools, like her lawn mower, and a smaller section for small tools. What is the length of the entire shed? What type of number is the length? List as many types of numbers for the length as you can.

Answers

Answer:

4+5[tex]\sqrt{2}[/tex] ft

Step-by-step explanation:

The type o the length of the shed will be a real number and a rational number. Then the correct option is B and E.

What is a number system?

The continuous portrayal of numerals using digits and perhaps other marks is known as a number system.

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number.

Helena builds a shed in her backyard.

There is a larger section for large tools, like her lawn mower, and a smaller section for small tools.

The type o the length of the shed will be a real number and a rational number.

Then the correct option is B and E.

The complete question is attached below.

More about the number system link is given below.

https://brainly.com/question/22046046

#SPJ2

What is the slope of the line below (1, -2) (4, -2)

Answers

Answer:

0

Step-by-step explanation:

We can use the slope formula to find the slope

m = (y2-y1)/(x2-x1)

    = ( -2 - -2)/( 4 -1)

    = (-2+2)/( 4-1)

    = 0/3

   = 0

Answer:

Slope =0

Step-by-step explanation:

[tex](1, -2) , (4, -2)\\m = ?\\x_1 =1\\y_1 =-2\\x_2 =4\\y_2 =-2\\\\m = \frac{y_2-y_1}{x_2-x_1} \\\\m = \frac{-2-(-2)}{4-1} \\m = \frac{-2+2}{3}\\ m = \frac{0}{3}\\ m = 0[/tex]

Other Questions
HELP ASAP which two scenarios best exemplify situational irony? What were the most important points made during the discussion? If paul puts 300 dollars in a saving account that earns 3% interest how much interest will he earn after 2 years? Please help. Ill mark you as brainliest if correct! Complete the Magic Square. A company has revenues of $1,250,000 with a net profit margin of 10%. If the depreciation for the year is $75,000, short-term investments decreased by $15,000, accounts receivable increased by $10,000, inventory decreased by $5,000 and accounts payable decreased by $6,000, what is the net cash provided by operations. PLS HELP:Find the side length, C.Round to the nearest tenth. It takes Matt 3 minutes to read one page in a book. If he continues to read at the same pace, he can read 15 similar pages in minutes. If the book has 300 pages, it will take him minutes to read it. ASAP Two points ___________ create a line. A. sometimes B. always C. never D. not enough information Find the values of x which satisfy the following inequation:x3 x Assume that random guesses are made for multiple-choice questions on a test with choices for each question, so that there are n trials, each with probability of success (correct) given by p. Find the probability of no correct answers What is kinetic energy? Please answer, it's really urgent A boy performs an experiment to measure the speed of sound. He stands 100 meters away form a large wall and claps his hands to make an echo. He claps again as soon as he was the echo, He does this ten times, each time clapping an soon as he hears the echo. The time between the first clap and the tenth echo a recorded. Why it better to time ten echoes together rather than just one echo? In a local university, 10% of the students live in the dormitories. A random sample of 100 students is selected for a particular study. Carry answer to the nearest ten-thousandths. (Bonus Question) a. What is the probability that the sample proportion (the proportion living in the dormitories) is between 0.172 and 0.178? b. What is the probability that the sample proportion (the proportion living in the dormitories) is greater than 0.025? The _____focuses on bringing different talents and perspectives together to make the best organizational decisions and to produce innovative, competitive products and services.. plsss help meeeeeee!!!! Jakes club has 35 members. it's rules require that 60% of them must be present for any vote. at least how many members must be present to have a vote? Evaluate the following expression.10^7 + 9 + 1^3 = Controlling how questions are asked is governed under A. rules of evidence. B. judicial administration. C. rules of legal conduct. D. jury litigation. Consider a system in which low levels of protein "Q" triggers production of hormone A. The reaction of target cells of hormone A is to produce and release hormone B, which stimulates production of hormone C. In response to hormone C, the target cells up-regulate protein Q. In this scenario we see an example of _____. f(x) = x^2. What is g(x)?