What is the difference between associative and distributive property?

Answers

Answer 1
Distributive property is when you are distributing the problem into a smaller problem. Associative property is when you have a problem with just addition or subtraction, and you can put the parenthesis anywhere and still get the same answer

Related Questions

Joan works on commission

Answers

for a future store..

Standard printer paper has a thickness of 0.1mm. write an equation for a function that should approximately the thickness of a sheet of paper after nn folds. f(n)=f(n)=

Answers

Folding a paper will make it thickness become double from it before.
Unfolded paper has 1 thickness
1 times folded paper has 2 thickness
2 times folded paper has 4 thickness
3 times folded paper has 8 thickness

From here it is clear that the pattern is [tex] 2^{n} [/tex]. SInce the paper is 0.1mm, then the function would be:
f(n)= [tex] 2^{n} [/tex] x 0.1mm

If a person wanted to purchase their dream car, and keep it for many years, should they lease or buy? Why? (Site 1)

Answers

Buying an asset or a vehicle means paying off the entire sum of money that is the cost of the asset at the time of its purchase.

Leasing an asset means purchasing an asset by not paying the entire sum of money at the time of purchasing, rather paying in the form of rent over the period of time.

If a person wants to purchase his dream car for keeping for many years, then Buying Option is better because the payment of the overall cost in buying will be less than leasing.

This will also provide benefit that at the time of sale the owner will be paid off higher value of car as compared to car taken on lease.

For more information about leasing and buying, please refer to the link:

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Final answer:

If a person wants to purchase their dream car and keep it for many years, it is generally recommended to buy rather than lease. Buying a car provides long-term ownership, customization options, and potential resale value, while leasing offers lower monthly payments but no ownership.

Explanation:

If a person wants to purchase their dream car and keep it for many years, it is generally recommended to buy rather than lease. Here are the reasons why:

Ownership: When you buy a car, you become the owner and have the freedom to modify or personalize the vehicle as you wish. Leasing, on the other hand, only provides temporary possession of the car.Long-term cost: Buying a car may have higher upfront costs, such as a down payment and monthly loan payments, but in the long run, you will own the vehicle. Leasing involves lower monthly payments, but you will not own the car at the end of the lease term.Resale value: Owning a car allows you to build equity over time. You can sell the car later and recoup some of the cost. Leasing does not provide this opportunity.

In conclusion, buying a car is a better option if you want long-term ownership and the ability to customize the vehicle. Leasing may be suitable for those who prefer lower monthly payments and don't want to commit to long-term ownership.

The perimeter of a rectangle is 50 centimeters. the length of the rectangle is one more than 3 times the width of the rectangle. what are the dimensions of the rectangle

Answers

Let's let w = width of the triangle. Let's also write the length in terms of w:
Length = 3w+1

The perimeter of the rectangle is 2l+2w=P

2(3w+1) + 2(w) = 50     [base equation]
6w+2+2w=50   [distribute the 2]
8w+2=50   [combine like terms]
8w=48   [subtract 2 from both sides]
w=6    [divide 8 from both sides]
Therefore, the width is 6 cm.
3(6)+1 is the length = 19 cm 

Final answer:

The width of the rectangle is 6 centimeters and the length is 19 centimeters.

Explanation:

To find the dimensions of the rectangle, we can assign variables to the length and width of the rectangle. Let's say the width is 'w' centimeters.

According to the information given, the length is '1 + 3w' centimeters. The perimeter of a rectangle is the sum of all its sides, so we can set up the equation: 2(length + width) = 50. Substituting the given expressions for length and width, we have: 2((1 + 3w) + w) = 50. Simplifying this equation, we get: 8w + 2 = 50. Solving for 'w', we find that the width of the rectangle is 6 centimeters. Substituting this value back into the expression for the length, we get: length = 1 + 3(6) = 19 centimeters.

Therefore, the dimensions of the rectangle are width = 6 centimeters and length = 19 centimeters.

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James ran at a rate of 11.5 km per hour. What was james' speed in miles per hour? (NOT TO BE SOLVED. Needs to be an equation)

Answers

1km = 0.621371 miles

 so equation  is

total miles per hour = 11.5km * 0.621371

The equation of a circle is x^2 + y^2 + Cx + Dy + E = 0. If the radius of the circle is decreased without changing the coordinates of the center point, how are coefficients C, D, and E affected?

A) C, D, and E are unchanged.

B) C increases, but D and E are unchanged.

C) C and D decrease, but E is unchanged.

D) C, D, and E increase.

E) C and D are unchanged, but E decreases.

Answers

x and y are the center point so since C and D are multiplied by x an y they would remain the same

E = the center points squared plus the radius squared.

 Since the radius is getting smaller E would also decrease


Answer is E

Hello,

Answer D:

The circle having (a,b) as center and R as radius has for equation:

(x-a)²+(y-b)²=R²
==>x²+y²-2ax-2by+a²+b²-R²=0

If R decreases then a²+b²-R² increases.

C and D are unchanged and E increases

What is the scientific notation for 12,400,000?

Answers

1.24 x 10
hope i can help even though its late

Find an equation of the set of all points equidistant from the points a(−1, 6, 3) and b(4, 3, −2).

Answers

hello :
the set of all points M (x,y) equidistant from the points A(−1, 6, 3)
and B(4, 3, −2): 
MA = MB  or  MA² = MB²
an equation is : 
(x+1)²+(y -6)²+(z - 3)² = (x - 4)² +(y -3)² + (z+2)²

If angleA and angleB are vertical angles, and angleA = 38°, find the measure of angleB. A. B = 7° B. B = 57° C. B = 38° D. B = 142°

Answers

Angle B = 38° (option C)
This is because vertical angles are congruent

Hope this helps!! :)

Answer:

C. B = 38°

Step-by-step explanation:

A vertical angle is created when two lines intersect, and are a pair of two non adjacent angles that are opposite from the origin, so both angles are going to measure the same.

Since both vertical angles are the same, both measure 38º.

Vertical angles are shown in the image:In this case the angle A would be the omega, and the B is the alfa.

Next school year, 2 out of every 7 students plan te take an elective computer course. if there are 2464 students at the high school, how many computer students should the school plan for?

Answers

2 out of every 7 students plan to take the course....that means 5 out of every students do not plan to take it. So 2/7 of the total students plan to take it and 5/7 of the total students do not plan to take it.

so 2/7 of 2464 plan to take the course.....2/7(2464) = 4928/7 = 704 students ...the school need to plan for 704 students <==

A problem states: " there are 3 more baseballs than bats in a dugout. There are 15 bats and baseballs in the dugout in all. How many bats are in the dugout?" Let b represent the number of bats. Which expression represents the situation?

Answers

9 baseballs and 6 bats

Answer:

The required equation is 2b+3=15.

Number of bats = 6

Number of baseballs = 9

Step-by-step explanation:

Let b be the number of bats.

It is given that there are 3 more baseballs than bats in a dugout.

Number of baseballs = b + 3

Number of bats and baseballs in the dugout in all is

[tex]Total=b+(b+3)[/tex]

[tex]Total=(b+b)+3[/tex]

[tex]Total=2b+3[/tex]

There are 15 bats and baseballs in the dugout in all.

[tex]2b+3=15[/tex]

The required equation is 2b+3=15.

Subtract 3 from both sides.

[tex]2b=15-3[/tex]

[tex]2b=12[/tex]

Divide both sides by 2.

[tex]b=6[/tex]

The value of b is 6. So, the number of bats is 6 and number of baseballs is 6+3=9.

Change the line 3x − 8y = 5 into slope-intercept form.

Answers

slope is y=mx+b
m=slope
b=y intercept

solve for y basically


3x-8y=5
minus 3x both sides
-8y=-3x+5
divide both sides by -8
[tex]y=\frac{3}{8}x-\frac{5}{8}[/tex]

Real world equation that can be modeled by the equation y=1/20x

Answers

Nick has to pay 5 cents in tax (5%) for every dollar he spends buying pizza. How much money does he have to pay in tax? Since 5=1/20*100, that means that if x is the amount of dollars he spends buying pizza, he has to divide that by 20 to get 5% of that amount and therefore the amount of tax he has to pay

One of the factors of p^5 - 144p^3 is
A. P^3
B. P + 12
C. P - 12
D. All of the above

Answers

p^5 - 144p^3
= p^3(p^2 - 144)
= p^3(p + 12)(p - 12)

answer
D. All of the above
The answer would be (D) All of the above

The factors are below
p^3(p^2-144)
p^3(p-12)(p+12)

What is the area of the triangle in the diagram?

Answers

check the picture below.

Answer:

Option A is the answer.

Step-by-step explanation:

The area of the triangle is given as :

[tex]A=\frac{1}{2}\times base\times height[/tex]

Base will be given by :

[tex]\sqrt{(x1-0)^{2}+(y1-0)^{2}}[/tex]

= [tex]\sqrt{x1^{2}+y1^{2}}[/tex]

Similarly the height will be given by:

[tex]\sqrt{(x2-0)^{2}+(y2-0)^{2}}[/tex]

= [tex]\sqrt{x2^{2}+y2^{2}}[/tex]

Now, putting these dimensions in the formula we get:

[tex]\frac{1}{2}\times \sqrt{(x1^{2}+y1^{2})(x2^{2}+y2^{2})}[/tex]

Therefore, option A is the answer.

If NO = 17 and NP = 5x -6, find the value of X. Then find NP and NO.

Answers

Since NO=NP (as seen by the 2 lines next to each other), we get 
17=5x-6. Adding 6 to both sides, we get 23=5x and by dividing 5 on both sides we get x=23/5

(-4,7),(6,-1) what is the answer

Answers

(y+1)=-8/10 (x-6)
5y+5=-4x+24
5y=-4x+19
if you are finding a slope you must use the formula    y2-y1 / x2-x1

-1-7             -8           -4
-------  =     ------  =   -----
6--4            10            5


now to find the y intercept you need to plug either (-4,7) or (6,-1) into y=mx+b

7 = -4/5(-4) + b
7 = 3.2 + b
3.8 = b

the equation is        y = -4/5x + 3.8

how many hours of training would you need to have a monthly pay of $2620

Answers

2620 /4 = 655 per week

 suppose you work 40 hours per week

655/40 = $16.38 per hour

that is a good pay, but training all depends on the actual job.

 some jobs don't require any training, some require 3 months or more.

 it also depends on your education

 

12 cot2(x) = 4 find all values of x in the interval [0, 2π] that satisfy the equation

Answers

[tex]cot^2x = 4/12 \\ cot^2x = 1/3 \\ tan^2x = 3 \\ tan(x)= +- \sqrt{3} [/tex]

so,  [tex]x= \pi/3 \\ x = \pi - \pi/3 = 2\pi/3 \\ x = \pi + \pi/3 = 4\pi/3 \\ x = 2\pi - \pi/3 = 5\pi/3 [/tex]


Final answer:

To solve 12 cot2(x) = 4, we simplify and use properties of the tangent function. The solution is x = π/3, 2π/3, 4π/3, and 5π/3 within the interval [0, 2π].

Explanation:

To solve the trigonometric equation 12 cot2(x) = 4, we first simplify it to find cot2(x) = 1/3 by dividing both sides by 12. To find cot(x), we take the square root of both sides, giving us cot(x) = ±1/√3. Remember that cot(x) is the reciprocal of tan(x), so we now have tan(x) = ±√3.

To find the values of x that satisfy this equation within the interval [0, 2π], we look at the unit circle. The tangent function is positive in the first and third quadrants and negative in the second and fourth quadrants. Therefore, for tan(x) = √3, x = π/3, 4π/3, and for tan(x) = -√3, x = 2π/3, 5π/3. These are the values of x in the given interval that satisfy the equation.

What conjecture can you make about the twentieth term in the pattern A, B, A, C, A, B, A, C?

Answers

Answer:

c

Step-by-step explanation:

ABACABACABACABACABAC

Final answer:

The pattern A, B, A, C repeats every four terms. Dividing the term number (20) by the length of the repeating sequence (4) yields 5 with no remainder, indicating the twentieth term will be the same as the fourth term - which is 'C'.

Explanation:

The given pattern A, B, A, C, A, B, A, C is a repeating sequence that occurs in sets of four (A, B, A, C). To ascertain the twentieth term in this pattern, divide the term number by the length of the repeating sequence. That would be 20 divided by 4, which equals 5 with no remainder. That suggests the twentieth term will be the same as the fourth term in the sequence, which is C.

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The bakers healthy bakery can make 160 bagels in 5 hours. a.how many can they make in 1 hour? B.How many can they make in 12 hours?

Answers

A) Think of the amount as a fraction or ratio: 160/5 now, we want the denominator to be equivalent to 1 hour so we divide 5 by 5 to get 1. What we do to the bottom, we do to the top, so we do 160 divided by 5 = 32 bagels in 1 hour.
B) Now take 160/5 and set the denominator equal to 12. 5 times 2.4 equals 12, so then multiply 160 times 2.4 = 384 bagels in 12 hours. Hope this helps!

I believe it would be 32 in 1 hour. A: 160÷5=32
For the second part you multiply B: 32x12=384
so 384 bagels in 12 hours.

Convert the following: 22km = ________m A. 0.022 B. 2.2 C. 22 D. 22,000

Answers

The answer is d. 22,000

1km = 1000 m

22*1000 = 22,000

 Answer is D. 22,000

Andrea wants to deposit money into a bank account that earns 4.5% simple interest. Use the formula l=Prt to find the ammount of money that she should deposit so that she earns $2800 after 4.5 years. Show and explain your work.

Answers

The formula is
I=prt
I interest earned 2800
P amount deposited. ?
R interest rate 0.045
T time 4.5 years
Solve the formula for p by dividing both sides by rt to get
P=I/rt
P=2,800÷(0.045×4.5)
P=13,827.16 round your answer to get 13827

Hope it helps!

Rick is setting up a model train track that is 5 and 3 over 5feet long. No telephone pole is needed at the start of the track. However, along the track, he places a telephone pole every 4 over 5foot apart. How many telephone poles does he need? (Input number values only)

Answers

That would be 5 3/5 divided by 4/5

= 28/5 / 4/5

= 28/5 * 5/4 

= 7  telephone poles

Answer:

1/2

Step-by-step explanation: man i needa level up... its not right i just need points lol

The perimeter of a rectangular garden is 290 feet. If the length of the garden is 84 feet, what is its width?

Answers

Since the formula for the perimeter is 2l+2w=290 (given that the length=l and the width is w), we plug 84 in for l to get (2)(84)+2w=290. Next, we multiply it out to get 168+2w=290 and we subtract 168 from both sides to get 122=2w. Dividing 2 from both sides, we get 61=w. 
the width would be 61 ft

Help plz someone give me an answer

Answers

Greetings!

"Solve for x: [tex]7x-4+x=12[/tex]"...

Add like terms.
[tex]8x-4=12[/tex]
Add 4 to both sides.
[tex](8x-4)+4=(12)+4[/tex]
Simplify.
[tex]8x=16[/tex]
Divide both sides by 8.
[tex](8x)/8=(16)/8[/tex]
Simplify.
[tex]x=2[/tex]

The variable is equal to 2.

Hope this helps.
-Benjamin

True or False
The sum of two trinomials is ALWAYS a trinomial

Answers

true because it is two triomials and it stay trinomials

Answer:

True.

Step-by-step explanation:

If the two trinomials are given as

x³ + 2x² + 4 = 0

and

2x³ + x² - 3 = 0

Then by adding these trinomials we get

(x³ + 2x² + 4) + (2x³ + x² - 3) = 0

3x³ + 3x² + 1 = 0

Which proves that sum of two trinomials is ALWAYS a trinomial.

So the answer is True.

Jessica earns 3% commission selling computers she sold 37500 worth of computers last month how much commission did Jessica earn last month

Answers

Here,

3/100*37500
=1125

She earned total commission of 1125 last month

Ysidra paints a room that has 400 square feet of wall space in 2 and a half hours. at this rate, how long will it take her to paint a room that has 720 square feet of wall space?

Answers

1 hour 10 minutes /////

The time taken to paint a room which has a wall space of 720 feet² is equal to [tex]4\frac{1}{2}[/tex] hours.

What is the unitary method ?

The unitary method is a method in which you find the value of one unit and then the value of required no. of units.

It is given that room is painted that has wall space of 400 feet². The time taken to paint this space is 2 and half hours.

So , the wall space painted per hour will be :

= 400 ÷ [tex]2\frac{1}{2}[/tex]

= 400 ÷ [tex]\frac{5}{2}[/tex]

= 400 × [tex]\frac{2}{5}[/tex]

= 160 square feet per hour

We have to find out the time taken to paint a room which has a wall space of 720 feet². So , this will be calculated by dividing 720 square feet wall space by the per hour painted wall space that is equal to:

= 720 / 160

= 4.5 hours

or

= [tex]4\frac{1}{2}[/tex] hours

Therefore , the time taken to paint a room which has a wall space of 720 feet² is equal to [tex]4\frac{1}{2}[/tex] hours.

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What is 4h-3 expression factored

Answers

Greetings!

This is not factor-able.
-No Common Factors, other than "1"
-Not a difference in squares
-Can't group

You can factor:
1(4h-3)
But, this is useless.

Hope this helps.
-Benjamin
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