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

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 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

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.

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.

.325 equals what fraction

Answers

Answer:

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

13/40 is the correct answer

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

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

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.

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

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

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

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

Answers

Hope it helpssss….best of luck


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:

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

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

Answers

Answer:

image

Step-by-step explanation:

image

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

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!  

3+8+(87÷4)=(12345676×3825829){=dheg
​

Answers

Answer:

Read the explanation

Step-by-step explanation:

look at the photo

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

Answers

Circumference = 18.84 yards
Diameter = 6 yards

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.

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

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:

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]

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!

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]

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!!

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.

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

Answer the question 3523+4353

Answers

Answer:

7,876

Step-by-step explanation:

brainliest please

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