Which expression would be easier to simplify if you used the associative property to change the grouping?

A. 85 + (120 + 80)

B. [-40 + (60)] + 52

C. (2 + 3/7) + 4/7

D. 4 + (1.2 + (-0.2))

Answers

Answer 1

Answer:

C

Step-by-step explanation:

In A and B, the numbers involved in expressions are integers.

Hence, they can be easily added or subtracted.

In C, the numbers involved in expression are fractions which are not grouped together.

They can be added but by using associative property, it becomes much more easier.

That is, grouping fractions.

Answer 2

Answer:C

Step-by-step explanation:


Related Questions

The probability that a randomly selected 2 2​-year-old male garter snake garter snake will live to be 3 3 years old is 0.98861 0.98861. ​(a) What is the probability that two randomly selected 2 2​-year-old male garter snake garter snakes will live to be 3 3 years​ old? ​(b) What is the probability that seven seven randomly selected 2 2​-year-old male garter snake garter snakes will live to be 3 3 years​ old? ​(c) What is the probability that at least one of seven seven randomly selected 2 2​-year-old male garter snake garter snakes will not live to be 3 3 years​ old? Would it be unusual if at least one of seven seven randomly selected 2 2​-year-old male garter snake garter snakes did not live to be 3 3 years​ old?

Answers

Answer:

a. [tex]Probability = 0.97735[/tex]

b. [tex]Probability = 0.92294[/tex]

c. [tex]P(At\ Least\ One) = 1[/tex]

No, it is not unusual if at least 1 lives up to 3.

Step-by-step explanation:

Given

Represent the probability that a 2 year old snake will live to 3 with P(Live);

[tex]P(Live) = 0.98861[/tex]

Solving (a): Probability that two selected will live to 3 years.

Both snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

[tex]Probability = P(Live)\ and\ P(Live)[/tex]

[tex]Probability = 0.98861 * 0.98861[/tex]

[tex]Probability = 0.9773497321[/tex]

[tex]Probability = 0.97735[/tex] --- Approximated

Solving (b): Probability that seven selected will live to 3 years.

All 7 snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

[tex]Probability = P(Live)^n[/tex]

Where [tex]n = 7[/tex]

[tex]Probability = 0.98861^7[/tex]

[tex]Probability = 0.92294324145[/tex]

[tex]Probability = 0.92294[/tex] --- Approximated

Solving (c): Probability that at least one of seven selected will not live to 3 years.

In probabilities, the following relationship exist:

[tex]P(At\ Least\ One) = 1 - P(None).[/tex]

So, first we need to calculate the probability that none of the 7 lived up to 3.

If the probability that one lived up to 3 years is 0.98861, then the probability than one do not live up to 3 years is 1 - 0.98861

This gives:

[tex]P(Not\ Live) = 0.01139[/tex]

The probability that none of the 7 lives up to 3 is:

[tex]P(None) = P(Not\ Live)^7[/tex]

[tex]P(None) = 0.01139^7[/tex]

Substitute this value for P(None) in

[tex]P(At\ Least\ One) = 1 - P(None).[/tex]

[tex]P(At\ Least\ One) = 1 - 0.01139^7[/tex]

[tex]P(At\ Least\ One) = 0.99999999999997513055642436060443621[/tex]

[tex]P(At\ Least\ One) = 1[/tex] ---- Approximated

No, it is not unusual if at least 1 lives up to 3.

This is so because the above results, which is 1 shows that it is very likely for at least one of the seven to live up to 3 years

You multiply 2 integers. The product is 30 less than one of the integers.

Answers

Answer:

30 and 0 is an easy answer

Step-by-step explanation:

30 times 0 equals 0

0 is 30 less than 30

2 7/8 * 3

Really need help!!

Answers

Answer:

search for a mixed number calculator on google

Step-by-step explanation:

look for a pattern in the first three equations

Answers

Answer:

Is there a graph orrrrr?

Step-by-step explanation:

Please help; I’m stuck on this problem and can’t get past it :(

Answers

The answer is C 2X-3Y= 12

What is 56/15 as a decimal rounded to the nearest tenth

Answers

Answer:

3.73

Step-by-step explanation:

56/15

3 11/15

3.73

56/15 = 3.7333333...

3.733333... —————> 3.7

Sally leaves her house and jogs along a straight road. After one hour she has gone 4 miles. Then, Sally slows to a brisk walk at a constant rate. After the first hour of walking in the same direction, Sally is 6.5 miles from her house. How many miles from her house will she be after two more hours of walking?

Answers

Answer:

I'm pretty sure its 11.5

Answer:

11.5 mi.

Step-by-step explanation:

First, you figure out how much miles Sally has gone by walking.

6.5-4=2.5 mi.

You use the distance formula: d(distance)=r(rate)xt(time)

2.5 mi.=Rx1 hr.

rate=2.5 mi/hr.

To figure out how many miles Sally will be from her house after two more hours of walking, you use the distance formula again.

d=2.5mi/hrx2 hr.

d=5.0 mi(2.5x2)

6.5mi+5.0mi=11.5 mi total

Solve the following inequality and type your solution below: 2 (x +4) > 2 +6

Answers

Answer:

x>0

Step-by-step explanation:

distribute

2x+8 > 2+6

combine like terms on each side

2x+8 > 8

subtract

2x > 0

divide

x > 0

Diego says that that the product of 0.51 × 2.427 will have five decimal places. Is Diego correct? Explain.

Answers

Answer: That is true

Step-by-step explanation: You add the decimal places of both numbers that u are multiplying

Answer:

Yes DIEGO is correct

Step-by-step explanation:

My man DIEGO

A square has a perimeter of 72 cm what is the length of each side

Answers

Answer:

each side is 12 cm

Step-by-step explanation:

This is a simple equation, since a square is equal an all 4 sides, all you have to do it divide 72 by 4 to get your answer.

May I have brainliest please? :)

find the average rate of change of each function on the given interval f (x) = x^5 + 2x^4 + 3x - 12;(-5, -1]​

Answers

Answer:

x^5+2^x4+3^x+72

Step-by-step explanation:

......................

What is the value of x?
Enter your answer in the box.

Answers

Answer:

35

Step-by-step explanation:

Since all the angles are the same in this triangle, all the sides should be the same too.

Hence, 3x - 5 = 4x - 30

5 + -1x = -30

-1x = -35

x = 35

Hope this helped!

Answer:

Considering the fact that this is an equilateral triangle, x would equal 25

Step-by-step explanation:

since in an equilateral triangle all sides are equal, just pick 2 and solve for x

3x-5=2x+20

3x-2x=20+5

x=25

to check work,

4(25)-30=70

3(25)-5=70

2(25)+20=70

Please help 15 points available! What is the equation of the line that is perpendicular to y - 3 x = 2 and that passes through (6,1)?
y = 1/3x - 1
y = 1/3x + 3
y = -1/3x + 3
y = -1/3x - 1

Answers

Answer:

C) y = -1/3x + 3

Step-by-step explanation:

y - 3x = 2

  + 3x   + 3x

y = 3x + 2

find the reciprocal of the slope (3) which is -1/3 so -1/3 will be the slope for the perpendicular line

y = (-1/3)x + b

now find the y-intercept (b)

(6,1) x = 6   y = 1

y = (-1/3)x + b

1 = (-1/3)6 + b

1 = -2 + b

+2  +2

3 = b

y = (-1/3)x + 3

Answe

Is c
Hope this help

I need help please ​

Answers

Answer:

m<L.F.M = 50

Step-by-step explanation:

So we know that the m<F.M.L = 90 and m<F.M.P = 90 so...

3x- 1 + 2x + 6 = 90 (collect like terms)

5x + 5 = 90 (subtract 5 on both sides)

5x = 85 (divide by 5 on both sides)

x = 17

Plug in to (3x-1)

3(17) - 1 = m<L.F.M

50 = m<L.F.M

Hope this helps!!

said sum things were inappropriate

The letters

Find the zero of the function: f(x) = -5x + 5

Answers

Answer:

Step-by-step explanation:

Answer: 1

Step-by-step explanation: Do math

find the slope of the line passing through (4,-6) (7,2)

Answers

Answer:

8 over 3

Step-by-step explanation:

Use

Y2 - y1 over x2 - x1 slop formula

Answer:

the slope in fraction form is 8/3, in integer form is 8.

Step-by-step explanation:

use the x coordinates for the run and the y coordinates for the rise. To find the rise you use the y coordinates -6 and 2, and think about how many spaces away they are on the coordinate plane by adding them both like they are positive. 6 + 2 = 8. To find the run, subtract 7 from 4 which equals 3. So, there you have the rise over run = 8/3 or in integer form, 8.

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

16.9 and 1.7 and 0.17 and 2.0 rounded up to the nearest whole number

Answers

Answer:

17, 2, 0, 2

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

16.9 + 1.7 + 0.17 + 2.0 = 20.77 rounded to the  nearest whole number is 21.

What is 100 x 100=? If you answer this then you'll earn pionts.

Answers

Answer: it equals 10,000

Answer:

10,000

Step-by-step explanation:

yuh (-:

What is the slope of a line that passes through (-4 -13) and (19, 11)
a. 23/24
b. 24/23
c. -23/24
d. -24/23

Answers

The answer you're looking for is 24/23.

I just took the test myself and this is correct.

What is the square root of pi?

Answers

Answer:

1.77245385091...

Step-by-step explanation:

Its a long number!

Have a great day!

Megan works at Amazon warehouse each crate can hold 32 boxes she needs to ship 712 how to divide into 22 crates?

Answers

She needs 23 boxes because 22.25 boxes doesn’t make sense.
The answer is 23 boxes not 22

If you travel 2.2 miles in 30 minutes. How many miles did you travel in 12 minutes?

Answers

Let m = miles traveled in 12 minutes.

2.2/m = 30/12

Cross-multiply here.

30m = (2.2)(12)

30m = 26.4

m = 26.4 ÷ 30

m = 0.88

In 12 minutes, 0.88 miles is traveled.

Please help me with this as soon as you can. I have no idea how to do it so please help me.

Answers

Answer:  60

Step-by-step explanation:

does anyone have the answers to this worksheet??? i really need them!

Answers

Answer: I'm sorry

       

Step-by-step explanation: I don't have the answer...

The 8th grade class sold snacks at lunch to earn money for a field trip. They sold 30 items this week. For each snack type, what percentage of all snacks sold were of that type? Round to the nearest hundredth if necessary.

Answers

Answer:

Step-by-step explanation:

Total number of snacks sold by 8th grade class = 30

Percentage of a particular snack sold = [tex]\frac{\text{Number of particular snack sold}}{\text{Total number of all snacks sold}} \times 100[/tex]

Percentage of cookies sols = [tex]\frac{6}{30}\times 100[/tex] = 20%

Percentage of cheese sticks sold = [tex]\frac{8}{30}\times 100[/tex]

                                                         = 26.67%

Percentage of  chips sold = [tex]\frac{12}{30}\times 100[/tex]

                                           = 40%

Percentage of water sold = [tex]\frac{4}{30}\times 100[/tex]

                                          = 13.33%

What is the constant
rate of change?
y = 5 – 17x

Answers

Answer:

-17

Step-by-step explanation:

The constant rate of change of a line is always the SLOPE. In the equation

y = mx + b, m represents the constant rate of change.

The constant rate of change from this equation is -17 because it's the slope.

(45x-7)4x=57 solve this and ill make out with you

Answers

Answer:

After solving [tex](45x-7)4x=57[/tex] we get [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]

Step-by-step explanation:

We need to solve the equation: [tex](45x-7)4x=57[/tex]

Solving:

[tex](45x-7)4x=57[/tex]

Multiply 4x with terms inside the bracket

[tex]180x^2-28x=57[/tex]

[tex]180x^2-28x-57=0[/tex]

We need to solve above equation to find value of x

Using quadratic formula for finding value of x: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a=180, b=-28 and c=-57

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-28)\pm\sqrt{(-28)^2-4(180)(-57)}}{2(180)}\\x=\frac{28\pm\sqrt{784+41040}}{360}\\x=\frac{28\pm\sqrt{41824}}{360}\\x=\frac{28\pm204.51}{360}\\x=\frac{28+204.51}{360} \ or \ x=\frac{28-204.51}{360}\\x=0.645 \ or \ x = -0.490[/tex]

Values of x are [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]

So, After solving [tex](45x-7)4x=57[/tex] we get [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]

Many professional schools require applicants to take a standardized test.
Suppose that 1000 students take such a test. Several weeks after the test,
Pete receives his score report: he got a 63, which placed him at the 73rd
percentile. This means that... *
Pete scored less than about 73% of the test takers.
Pete scored less than about 63% of the test takers.
Pete scored more than about 63% of the test takers,
Pete scored more than about 73% of the test takers,
Pete's score was below the median.

Answers

Answer:

if pete placed in the 73rd percentile, this means that his score was better than 73% of the other test takers, so the fourth option: he scored more than about 73% of the test takers

Step-by-step explanation:

hope this helps :)

The meaning is Pete scored more than about 73% of the test takers.

What is data?

Data is information that has been translated into a form that is efficient for movement or processing.

Given situation:

Pete receives his score report: he got a 63, which placed him at the 73rd

percentile.

Percentile is a comparison score between a particular score and the scores of the rest of a group.

So,  73 percentile shows he had done better then 73% of people.

Hence, Pete scored more than about 73% of the test takers.

Learn more about data here:

https://brainly.com/question/15403824

#SPJ2

1. Alison has 3 skirts, 2 shirts, and 2 pairs of shoes. How many different combinations of
skirt, shirt, and shoes can she choose?

Answers

Answer:

12

Step-by-step explanation:

3x2x2 or make a tree diagram

Is the relation {(2,5), (0, -5), (-2, 6), (2, 3)} a function?

Answers

Answer:

Not a function

Step-by-step explanation:

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