Mathematics College

Which of the following number sentences is an example of the associative property? Select all that apply.

[tex](1\frac{2}{5}*3\frac{1}{2} )*4=1\frac{2}{5} (3\frac{1}{2} *4)[/tex]

[tex]2.5*(1.8+6.3)=(2.5*1.8)+(2.5*6.3)[/tex]

10(4.6 × 3) = (10 × 4.6) × 3

6.3 × 1 = 6.3

Which Of The Following Number Sentences Is An Example Of The Associative Property? Select All That Apply.[tex](1\frac{2}{5}*3\frac{1}{2}

Answers

Answer 1

Associative property:-

a+(b+c)=(a+b)+c

Lets check one by one

#1

Here the rule is

(ab)c=a(bc)

Hence Yes associative property

#2

Here the rule is

a(b+c)=ab+ac

Hence no it's distributive property

#3

a(bc)=(ab)c

Yes

#4

ab=ba

No

Answer 2

Associative property meaning rearranging the parentheses in an expression which will not change the result.

✔A)

[tex]\rightarrow \sf (1\dfrac{2}{5} \ x \ 3\dfrac{1}{2} ) \ x \ 4 = 1\dfrac{2}{5} (3\dfrac{1}{2} \ x \ 4 )[/tex]

[tex]\rightarrow \sf \dfrac{98}{5} = \dfrac{98}{5}[/tex]

This uses associate property as it is rearranged in a different way and result same.

B)

[tex]\rightarrow \sf 2.5 \ x \ (1.8 +6.3) = (2.5 \ x \ 1.8)+(2.5 \ x \ 6.3 )[/tex]

This property is called distributive property. a(b + c) = a(b) + a(c)

✔C)

[tex]\sf \rightarrow 10(4.6 \ x \ 3) = (10 \ x \ 4.6) \ x \ 3[/tex]

[tex]\sf \rightarrow 138 = 138[/tex]

associate property as the following is rearranged inside the parentheses

D)

[tex]\rightarrow \sf 6.3 \ x \ 1 = 6.3[/tex]

This does not fall under any method or else multiplicative identity property.

Related Questions

heresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests. What is the lowest score she can get on the fifth test and still finish with an average score of 90 points?

96 points
97 points
98 points
99 points

Answers

Answer:

99 points

Step-by-step explanation:

total of scores of 4 tests = 88 + 84 + 88 + 91 = 351

5 tests with an average score of 90:

⇒ total of scores = 5 × 90 = 450

Lowest score of 5th test = 450 - 351 = 99 points

Answer:

99 points

points scored:

88 points , 84 points, 88 points , 91 points, let the fifth test points be "n"

given score with an average 90 points

[tex]\sf \rightarrow \dfrac{88 +84+88+91+n}{5} =90[/tex]

[tex]\sf \rightarrow 351+n =90 (5)[/tex]

[tex]\sf \rightarrow n =450-351[/tex]

[tex]\rightarrow \sf n = 99[/tex]

An 18 ft. tree casts a 15 ft. long shadow as shown in the following figure.

Which of the following is the angle formed by the sun's rays and the ground?

A.30
B.40
C.50
D.60

Answers

Answer:

The answer should be C=50

Step-by-step explanation:

sin^2(theta)(1+cot^2(theta))-1=0

Answers

Hope it helpssss….best of luck

Give me a real life example of when you would use area. * (your own wording please!!!!)

Answers

A real word example where area would be useful is if you were building a house or if you designed clothes

Answer:

Area is very commonly used in our world we just may not immediately recognize it. Most if not all construction workers use area to figure out how much Sq feet they have to work with. When decorating your home you need to know how much space is in each room. When installing carpet or hardwood you'll need to figure out the area of your room.

Hopefully this helps!  

how many times should you expect to see heads if a fair coin is tossed 3500 times?​

Answers

Answer:

1750

Step-by-step explanation:

If you flip a coin, you should theoretically get heads 50% of the time and tails 50% of the time. So in this case you would get heads 1,750 times.

I REALLY NEED HELP MY GRADES GO IN TONIGHT AND I CANT SOLVE THIS I NEED A REAL ANSWER I WILL CHECK BEFORE GIVING POINTS!!!!!!!!!!!!!!!!!

Answers

Answer:

K. 8

N. 12

A. 29

H. 5

I. -297

G. 89

T. 50

S. -7

W. 165

WHAT'S SHAKING

Answer:

K: 8

N: 12

A: 29

H: 5

I: -297

G: 89

T: 50

S: -7

W: 165

WHATS SHAKING [Answer]

Step-by-step explanation:

Please rate!!

The circumference of a circle is 18.84 yards. What is the circle's diameter?

Answers

Circumference = 18.84 yards
Diameter = 6 yards

PLEASE HELP! 50 POINTS! Consider the following set of sample data: (34, 32, 34, 32, 40, 37, 31, 31, 29, 27). Which of the following will give a 95% t confidence interval for the mean of the population from which the sample was drawn?

Answers

Answer:

(15.23,41.016)

Step-by-step explanation:

WE must determine the mean of the data set: Which is the sum of the set divided by the number in the set.
[tex]= (21 + 24 + 25 + 32 + 35 + 31 + 29 + 28)/8 = 225/8 = 28.125[/tex]
We must also determine the standard deviation: Which is the square root of the variance and the variance is the sum of squares of the sample number minus the mean divided by the number if the set data:
[tex]= ((21 - 28.125)^{2} + (24 - 28.125)^{2} +(25 - 28.125)^{2} + (32 - 28.125)^{2} + (35 - 28.125)^{2} + (31 - 28.125)^{2} + (29 - 28.125)^{2} (28 - 28.125)^{2}[/tex]
[tex]= 148.877/8 = 18.6[/tex]
The 95% confidence interval is defined as: The mean ± 1.96*standard deviation divided by the sqaure root of the number of data in the set:
[tex]= 28.125 + (1.96 *18.6)/(\sqrt{8} )[/tex]
[tex]= 41.016[/tex]
[tex]= 28.125 - (1.96 * 18.6)/(\sqrt{8}) = 15.23[/tex]
The confidence interval for this data set is (15.23,41.016)

Answer:

32.7 ± 2.262(1.19)

Step-by-step explanation:

See attached pictures

Find the value of cos
V
V rounded to the nearest hundredth, if necessary.

Answers

Answer:

image

Step-by-step explanation:

image

Hooray! Poplin Elementary collected 1,224 Box Tops! The 8 volunteer moms will have to tape them to the turn-in sheet. If they share the work equally, how many will each mom need to do?

Answers

They will each need to do 153!

solve the system by substitution​

Answers

1) Solve one of the equations for either variable.

2) Substitute the expression from Step 1 into the other equation.

3) Solve the resulting equation.

4) Substitute the solution in Step 3 into one of the original equations to find the other variable.

5) Write the solution as an ordered pair.

Jenna's pool is 22 feet long, 12 feet across and 6 feet deep.How many square feet of plaster will it take to cover it? (Be careful:Think about which parts will or won't be covered in plaster)

Answers

Answer:

264sq feet

Step-by-step explanation:

because you only need to cover the top you multiply 22 x 12 to get 264 sq feet

Answer the question 3523+4353

Answers

Answer:

7,876

Step-by-step explanation:

brainliest please

.325 equals what fraction

Answers

Answer:

according to desmos scientific calculator, the answer is 13/40

13/40 is the correct answer

3+8+(87÷4)=(12345676×3825829){=dheg
​

Answers

Answer:

Read the explanation

Step-by-step explanation:

look at the photo

What is the range of this data set? 64°, 72°, 74°, 68°, 70°, 68°, 68°, 75°, and 44°

Answers

Answer:

31

Step-by-step explanation:

First put your numbers in order

44 , 64 , 68 , 68 , 68 , 70 , 72 , 74  ,

Then subtract the Highest and Lowest numbers by each other

75 - 44 = 31

PLSS ANSWER

Round each fraction to help you estimate the solution for the equation.

three sixths plus three sixths

A. 0
B. one half
C. 1
D. one and one half

Answers

[tex] \frac{3}{6} = three \: sixths[/tex]

[tex] \frac{3}{6} + \frac{3}{6} = \frac{3 + 3}{6} = \frac{6}{6} = 1[/tex]

Letter C

express in the form 1 : n give n as a simplifeid fraction 8 : 6​

Answers

Answer:

So, Simplified fraction of 8:6 is 4:3.

What is the value of x in the equation 1/3x-2/3=-18
?
O -56
O -52
O 52
O 56

Answers

Answer:

x = -52

Step-by-step explanation:

Multiply both sides of the original equasion by 3 to get:

x - 2 = -54

Slide over the - 2 across the equal sign to get a +

x = -54 + 2

-54+2 = -52

Soo

x = -52

25 am
15 cm
15 om
E9 cm
-
9 cm
What is the area of the trapezold?
O
354 cm
o
408 cm2
0 510 cm2
0 O
595
cm2

Answers

The answer is 408 cm2 after applying the formula of right angled triangle,adding 25 and both 9 and applying the formula 1/2(p1+p2)h

Please give me brainliest

The expression below is the factorization of what trinomial?

(5x + 6)(3x - 2)

A. 15x^2 + 4x + 12

B. 15x^2 + 4x - 12

C. 15x^2 + 8x + 12

D. 15x^2 + 8x - 12

Answers

Answer:

Choice D is the correct answer

Step-by-step explanation:

Use the foil method and expand

Which of the following is a perfect square trinomial?

A. 4x^2 + 20xy - 25y^2

B. 4x^2 - 14xy + 25y^2

C. 4x^2 + 14xy - 25y^2

D. 4x^2 - 20xy + 25y^2

Answers

Answer:

[tex]D.~4x^2-20xy+25y^2[/tex]

Step-by-step explanation:

[tex]4x^2-20xy+25y^2\\\\=(2x)^2-2\cdot 2x \cdot 5y+(5y)^2\\\\=(2x-5y)^2[/tex]

a. 25
b. 32
c. 27.2
d. 26.4

Answers

Answer:

27.2

Step-by-step explanation:

sin 54 = opposite / hyp = 22 / x

sin 54 = 22/x

x = 22/sin54 = 27.2

Express 100,000 as a power of 10

Answers

Answer:

10^5

Step-by-step explanation:
10 multiplied by itself five times (10*10*10*10*10) is 100,000.

The length is :____meters and the width is____meters.

Answers

Answer:

Length = 42, Width = 14

Step-by-step explanation:

Say width = x

3x + x = 56

4x = 56

x = 14

14 x 3 = 42.

Answer:

width = 7

length = 21

Step-by-step explanation:

x + 3x = 56/2

4x = 28

x = 7

based on sample 2, how many students from the entire student population would prefer not to start at 7:45 am

Answers

Answer:

270

Step-by-step explanation:

from web

what is the relationship between the sine and cosine of the complementary angles in this diagram? drag and drop the answers into the boxes to correctly complete the statements.
Both sin(41) and cos(x) can be represented by the ratio ____. the angles measuring 41 and x are complementary angles. this means x+41=____. therefore x=____. since sin(41) = cos(x), this also shows that sin(41)=cos(_____).

Answers

Answer:

Step-by-step explanation:

Both sin(41) and cos(x) can be represented by the ratio b/c

What is complementary angles?

If the sum of two angles is equal to 90 degrees, then such angles are called complementary angles. The total of the two angles' measurements determines their complement and supplement. The pair of angles is said to be complimentary if the product of the two angles equals the measurement of a right angle. Example:

   40° is the complement of 50°.

   50° is the complement of 40°.

sin (41) = b/c

cos (x) = b/c

∴both sin(41) and cos(x) can be represented by the ratio b/c

x + 41 = 90 (∵ complementary angles)

x = 90-41 = 49

∵ sin 41 = cos x

∴ sin 41 = cos (90-41)

To know more about complementary angles please visit:

https://brainly.com/question/5708372

#SPJ2

For context, question 6 is:
What inverse operation will be used to undo the volume of Julie's jewelry box to find its edge lengths?

Volume formula for a cube is: volume = edge^3

//I have already answered This, I need help with #7, which is:
"If V = 216, what is the edge length of Julie's jewelry box?"

Answers

Answer:

6

Step-by-step explanation:

The inverse of cubed is cubed root. The cubed root of 216 is 6.

PLEASE EXPLAIN’

Which set of numbers correctly
shows a number, its opposite, and
its absolute value, in that order?
A 98.4
-98.4 98.4
B -74.3 -74.3
-74.3 74.3
C 46.2 46.2 -46.2
D 28.9 -28.9 -28.9

Answers

Answer:

A

Step-by-step explanation:

because -98.4 is the opposite of 98.4 and 98.4 is it's absolute value


Use the Pythagorean Theorem to find the missing length and then round the
result to the nearest tenth.

Answers

Answer:2 squared +3 squared and the square root of that number

Step-by-step explanation:

Other Questions
A large automobile manufacturing plant produces 1200 new cars every day. a qualitycontrol inspector checks a random sample of 90 cars from one days production and finds that 12 of them have minor paint flaws. calculate and interpret a 99% confidence interval for the proportion of all cars produced that day with minor paint flaws. Usa test prep please helpm me answer Questions:Who is Anton? Who is Lee?Why did Anton come forward?What is his evidence about his father?What sort of man does Antons father appear to be? evidence?Why does Anton think his father was blackmailing Mr Frank after the war?Do you believe Mr Ahler did it? Why/why not?Do you believe he blackmailed Mr Frank after the war? Why/why not?Why would anyone do something like this? How do we stop something like this ever happening again? Cuales son los Verbos de la cancion nunca es suficiente y sus tiempos verbales In the process known as ________, the governor must clear his or her appointments with the state senator from the appointee's home district.1.goodwill politics2.political reciprocity3.legislative prerogative4.senatorial courtesy5.the "southern custom" Help what's the correct question Please make this into copyable text this is hard to read for me What is the volume of this figure?2520 in1638 in1323 in935 inA right rectangular prism with a right triangular prism. The rectangular prism has a length of 14 inches, a width of 9 inches, and a height of 8 inches. The triangular prism shares a face with the rectangular prism. The triangular prism base has a length of 14 inches and a height of 5 inches. The height of the triangular prism is 9 inches. Why did the United States join the North Atlantic Treaty Organization in 1949? to improve relations with communist countries in Eastern Europe to protect against the Soviet Union and the spread of communism to share a common currency across all nations within the treaty to create a policy of using military force to combat terrorism. Evaluating your results is important because it helps you to ________. a. prevent future problems from occurring b. implement your solution more efficiently c. identify possible causes of the problem d. all of the above is the Oracle declare that cross will be abundant for seven years followed by seven years of drought and famine would this be considered a prophecy Find the scale factor and ratio of perimeters for a pair of similar octagons with areas 9 ft^2 and 16 ft ^2 . The lengths of the diagonals of a rhombus are 24cm and 18 cm respectively. What is the perimeter/ a 1. You found that the MCB was tied with a thread and the thread was fixed with a nail on the wall in your friend's house. i. Is it good idea to do this? ii. What could be the possible hazard of this? iii. What should have done to keep the circuit safe? A city has a population of 360,000 people. Suppose that each year the population grows by 3.75% What will the population be after 11 years? Which of the following represents the velocity of a moving object? Select one:40 m north.40.40 m/s north.40 m/s. You have $1000 invested for 3 years and get 10% interest. Find the measure of b. A normal deck of 52 cards includes 4 suits where each suit ranges from 2 though 10 inclusive, Jack, Queen, King and Ace. In a standard deck of 52 cards laying face down, if you select one card from the pile, what is the probability you select a diamond and a face card (jack, queen or king)? The table below shows how long a copier took to make copies.