What expression would be easier to simplify if you use the associative property to change the grouping?

A.[(-0.2)+(-0.6)]+1.7
B.(2+5/2)+(-1/2)
C.(60+40)+(-27)
D.6+[4/9+(-2/9)]

Answers

Answer 1

Answer:

B

Step-by-step explanation:

2+5/2 is hard to add since first you have to make 2 into a fraction with the denominator 2. If you use the associative property, you can just easily combine -1/2 and 5/2 without any converting into fractions


Related Questions

One of the legs of a right triangle measures 12 cm and the other leg measures 16 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer: 20 cm

Step-by-step explanation:

Given

For the right angle triangle, the length of the other two sides of triangle are 12 cm and 16 cm

Using the Pythagoras theorem, [tex](\text{Hypotenuse})^2=(\text{Perpendicular})^2+(\text{base})^2[/tex]

Insert the values

[tex]\Rightarrow H^2=12^2+16^2\\\Rightarrow H^2=144+256\\\Rightarrow H^2=400\\\Rightarrow H=\sqrt{400}\\\Rightarrow H=20\ cm[/tex]

James is 12 years old and his brother is 16. Which ratio represents James' age to his brother's age 4 years from now?

Answers

Answer:

16/20=1/4

Step-by-step explanation:

James is 1/4 younger then his brother

4:5 is the ratio which  represents James' age to his brother's age 4 years from now.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that James is 12 years old

James  brother is 16 years old.

We need to find the ratio which represents James' age to his brother's age 4 years from now.

After 4 years the James age is 12+4, 16 years

After 4 years the James brother age is 16+4, 20years

The ratio of James' age to his brother's age is 16/20

4/5

Hence, 4:5 is the ratio which  represents James' age to his brother's age 4 years from now

To learn more on Ratios click:

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As apart of her physical fitness training, Kaylee cycled at 30km/h and then jogged at 8 km/h. She spent 2 hours working out and covered a distance of 49 km. How long did Kaylee spend at each activity?

Answers

Answer:

for cycling, time is 1.5 hours

for hogging time is 0.5 hour.

Step-by-step explanation:

speed of cycling = 30 km/h

speed of jogging = 8 km/h

total time  = 2 hrs

total distance, D = 49 km

Let the time for cycling is t, so that time time for jogging is 2 - t .  

distance = speed x time

49 = 30 x t + 8 (2 - t)

49 = 30 t + 16 - 8 t

33 = 22 t

t = 1.5 hour

So, time for cycling is 1.5 hours and time for jogging s 0.5 hr.

Which of the following points IS not coplanar with points C. D and E?

Answers

R. It is not in the same plane as C, D and E

Which graph represents the same relation as the table below?

Answers

Answer:

so Left hand side down that your answer

can you help me get the answer for this Q :)

Answers

Answer:

sorry need some points

Step-by-step explanation:

49 + 710 is 10390.49 + 710 is 10390.

Karen is at least 4 years more than twice mary's age (m). Karen is 46 years old. Write a simplified inequality that represents marys age answer

Answers

Answer:

46 ≥ 2m + 4

m ≥ 21

Step-by-step explanation:

At least is ≥

Karen's age = 46 years old

Mary's age = m years old

Karen is at least 4 years more than twice mary's age (m).

46 ≥ 2m + 4

46 - 4 ≥ 2m

42 ≥ 2m

m ≥ 42/2

m ≥ 21

30,000,000 +40,000+6,000+20+2 in word form

Answers

Answer:

thirty million forty-six thousand twenty-two

hope this helps

have a good day :)

Step-by-step explanation:

Johnny wants to buy a lottery ticket, so he decides on the ones that give him a 1 in 3 chance of winning! If Johnny buys 15 lottery tickets, how many times would you expect him to win?

Answers

Answer:

5 or less chances.

Step-by-step explanation:

well because if he buys 15, 1 in 3 chance tickets, the highest amount of times he would win would  be 5 because 15 is the chances of winning multiplied by the tickets he could win.

Topic - Solving Linear Inequalities.

Q - A vehicle with an empty fuel tank has a mass of 1050kg. One litre of petrol has a mass of 737g. What is the minimum amount of whole litres of petrol that would cause the total mass to exceed 1100kg?

Please help me. ​

Answers

Answer:

The minimum balance is 68 liters

Step-by-step explanation:

Let the number of liters of petrol required be x

Given that  One litre of petrol has a mass of 737g, x liters will have a mass

= 0.737x kg

Recall that 1 kg = 1000g

Since the empty fuel tank has a mass of 1050kg

The total mass = 1050 + 0.737x IN kg

For the total mass to exceed 1100kg, then

1050 + 0.737x > 1100

0.737x > 1100 - 1050

0.737x > 50

Divide both sides by 0.737

x > 50/0.737

x > 67.84260516

Perez throws a stone on the pond. The path traveled by the stone can be modeled by y = -2x2 + 8x + 5, where x represents the time (in seconds) and y represents the height of the stone (in feet). What is the maximum height that the stone reaches

Answers

Answer:

The maximum height that the stone reaches is of 26 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

y = -2x2 + 8x + 5

Quadratic function with [tex]a = -2, b = 8, c = 5[/tex]

What is the maximum height that the stone reaches?

y value of the vertex. So

[tex]\Delta = 8^2-4(-2)(5) = 64 + 40 = 104[/tex]

[tex]y_{v} = -\frac{104}{4(-2)} = 26[/tex]

The maximum height that the stone reaches is of 26 feet.

Help plz..And No links!! I repeat No links!!

Answers

i think it’s 200 cubit feet

Answer:

200 ft^3

Step-by-step explanation:

Volume of rectangular prism equation is

[tex]V=lwh[/tex]

steps in attachment

In the circle below, EG is a diameter and EF is tangent at E. Suppose mEF = 124°. Find the following. Does anyone know this?

Answers

Answer:

Step-by-step explanation:

If EG is a diameter, then arc EFG is a semicircle and its measure is 180. Arc FG then is 180 - 124 = 56. Since angle FEG is an inscribed angle and the arc it cuts off is arc FG, then the measure of the inscribed angle is half the measure of the arc it cuts off...so angle FEG is 28 degrees. Keep that in mind; we'll need it in a sec.

If HE is tangent to the circle at E, then angle HEG is a 90 degree angle. Adding that to angle FEG will give you angle FEH. Angle FEH = 90 + 28 = 118

find the area of the irregular figure. 2in. 5in. 2in. 4in. 4in. 3in. 3in.​

Answers

The shape can be split into 3 separate shapes:

On the left side a square 3 x 3 = 9 square inches.

The middle rectangle that is 2 x 5 = 10 square inches

The bottom rectangle which is 4 x 4 = 16 square inches

Total area = 9 + 10 + 16 = 35 square inches

A submarine is descending to examine the seafloor 2,100 feet below the surface. It takes the submarine 2 hours to make this descent. Write an equation to represent the relationship between the submarine's elevation and time

Answers

Answer:the sub goes down 32.81ft per min

Step-by-step explanation:

2100

2hours

1050ft

1hour

525ft

30min

262.5ft

15min

262.5 ft

7.5min

131.25

4min

65.625ft

2min

32.81ft

1mins

When they arrived at the museum,Tyler's dad went to the ticket counter. For each of the 5 members of the family ,he purchased a general admission ticket for $8.75 and a ticket to see a special exhibit . He paid a total of $70?. How much did each of the ticket to the special exhibit cost

Answers

Answer:

5.25

Step-by-step explanation:

what is the slope of the line shown below?

Answers

the answer is D. rise over run = 4/2, simplified= 2/1 = 2.

Answer:

Up four over four = 4/2 = 2

Step-by-step explanation:

HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE

Answers

The correct answer is x = -3

i’m so confused on how to do it

Answers

Answer:

785.4

Step-by-step explanation:

The formula to find the surface area of a cylinder is

2* pi* radius* height + 2* pi* 2radius.

2( 3.14) (5) (20)= 628

2 (3.14* 5*5)= 157

628+ 157= 785.

the length of a rectangle is 5 less than twice the width. if the perimeter of the rectangle is 14 centimeters, find the dimensions of the rectangle

Answers

Answer:

25cm and 15cm is what your looking for❤

Write the equation of the line that passes through (7,-4) and (-1,2) in slope-intercept form. Select one:

Don't use files please

a. y=-3/4x+11/4

b. y=3/4x+11/4

c. y=-4/3x+2/3

d. y=-3/4x+5/4

Answers

OPTION

d. y= -3/4x+5/4 is the correct answer.

Refer to the attachmenta for complete calculation

Solve the equation

1 . J + -2 = -22

Answers

J + -2 = -22

Adding a negative number changes the equation to subtract ruin:

J - 2 = -22

Now add 2 to both sides to get the answer:

J = -20

Collect like term

J= -22 - 2

J= - 20

What is the mean of the data set below 12, 15, 10, 11​

Answers

Answer:

To find the mean, you add all the numbers given (12, 15, 10, and 11) and then divide by the number of values in the set (in this case, 4). This is the same as finding an average. To do this, you add 12 + 15 + 10 + 11 = 48. ... Therefore, the mean is 12.

Answer:

Your answer is given below:

Step-by-step explanation:

12+15+10+11/4

= 48/4

= 12

TheExtraterestrial

In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class does not have a sister?
Has a brother Does not have a brother
Has a sister
3
12
Does not have a sister
2.

Answers

Answer:

Step-by-step explanation:

total students = 27

students do not have a brother probability = 13/27

students do not have a sister probability = 12/27

= 4/9

Hope this is correct :)

The probability that a student is chosen randomly from the class does not have a sister is 0.375.

The probability that a student is chosen randomly from the class Has a brother is 0.208.

The probability that a student is chosen randomly from the class does not have a brother is 0.7916.

The probability that a student is chosen randomly from the class Has a sister is 0.625.

What is the probability?

Probability is the branch of mathematics, which discusses the occurrence of a random experiment.

First, we need to calculate how many total students there are.

Once we have the total we have to divide the number in the category that we want by the total number of students to calculate the probability of randomly getting a student in that category.

Total Students = 3 + 12 + 2 + 7 = 24 students

The probability that a student is chosen randomly from the class does not have a sister is;

[tex]= \dfrac{2+7}{24}\\\\=\dfrac{9}{24}\\\\=0.375[/tex]

The probability that a student is chosen randomly from the class Has a brother is;

[tex]= \dfrac{3+2}{24}\\\\=\dfrac{5}{24}\\\\= 0.208[/tex]

The probability that a student is chosen randomly from the class does not have a brother is;

[tex]= \dfrac{7+12}{24}\\\\=\dfrac{19}{24}\\\\= 0.7916[/tex]

The probability that a student is chosen randomly from the class Has a sister is;

[tex]= \dfrac{3+12}{24}\\\\=\dfrac{15}{24}\\\\= 0.625[/tex]

Learn more about proability here;

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Brainliest given to anyone who gets both answer


Helen draws a random circle,
She then measures its diameter and circumference,
She gets a circumference, C, of 405 mm correct to 3 significant figures.
She gets a diameter, d, of 130 mm correct to 2 significant figures.
Helen wants to find the value of n using the formula n =

Calculate the lower bound and upper bound for Helen's value of .
Give your answers correct to 3 decimal places.

Answers

Answer:

3.115

Step-by-step explanation:

pi = 405 ÷ 130

= 3.1153846154

upper bound 3.116

lower bound 3.115

Edit : Incorrect Answer

Answer:

Lower Bound = 2.996

Upper bound = 3.244

Step-by-step explanation:

The graph shows the function f(x).
Which equation represents f(x)?
Of(x) = -3
5
Of(x) = -3/x-1
3
2
Of(x) = 3-x-1
f(x)
Of(x) = -x
de
-10 -8 6 -4 -2,
2 4
6
8
10
L2
The
4
-5
1,99%
AI
[
Mark this and return
Save and Exit
Dlaxt
Submit
tiny

Answers

Answer:

C

Step-by-step explanation:

What we have to do here is to select a point from the graph

We can select the point (-8,1)

What this simply mean is that when x = -8, y = 1

Now, let us take a look at the second third option

f(-8) will be the cube root of -(-8) , with 1 subtracted from it

The cube root of 8 is simply 2, subtracting 1 from it will yield 1

so that makes the point (-8,1) valid

Answer:

C

Step-by-step explanation:

Please help :( The picutre is right below worth 20 pionts and will mark brainliest :)
oh and the question is right in the picture too also with the rest

Answers

Answer:

perpendicular

Step-by-step explanation:

peripenducular looks like a plus sign. HOPE THIS HELPS!

Branliest...

These two lines represent a system of equations.
What is the solution to that system?
Help ?

Answers

Answer: (-1,1)

Step-by-step explanation: Look at the intersection point of the lines

help meee it's pythagorean theorem, just need answers plsssssss

Answers

Answer:

Hi, there your answer is C or D and the second page is C

Step-by-step explanation:

What is the quotient of StartFraction 2 Superscript 4 Baseline Over 2 Superscript negative 4 Baseline EndFraction?

Answers

Answer:

256

Step-by-step explanation:

Given. :

2⁴ / 2^-4

2⁴ = 2 * 2 * 2 * 2 = 16

2^-4 = 1/2⁴ = 1 / (2 * 2 * 2 * 2) = 1 / 16

16 ÷ (1 /16)

16 * 16 /1

= 256

Answer:

Step-by-step explanation:

1/256 i believe

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