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

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

Please help!

Answers

Answer 1

The expression which would be easier to simplify if the associative property is applied to the grouping is (2 + 5/2) + (-1/2)

Associative property

The associative property is a mathematical property that states that the grouping of numbers or terms in an addition or multiplication operation does not affect the result.

Using the associative property;

The expression (2 + 5/2) + (-1/2) would be re-written as follows :

(2 + 5/2) + (-1/2) = 2 + (5/2 + (-1/2))

A. (2 + 5/2) + (-1/2) can be simplified by associating the terms inside the parentheses differently:

(2 + 5/2) + (-1/2) = 2 + (5/2 + (-1/2))

This expression allows us to simplify the fractions with equal denominator more easily.

Hence, expression which would be easier to simplify if the associative property is applied to the grouping is (2 + 5/2) + (-1/2)

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Related Questions

PLEASE HELP. zoom in to remove blur

PLEASE HELP. zoom in to remove blur

Answers

Answer:

It's A

Step-by-step explanation:

It's just moving the equation to the right 4 units. There's no stretch, compression, or reflection.

Based on the clues in this excerpt, what will most likely happen next?
A. The neighbors will become suspicious of Woman One.
B. The neighbors will apologize to Goodman and leave.
C. The neighbors will get their electricity back.
D. The neighbors will remain suspicious of Goodman.

Answers

Answer:

D. The neighbors will remain suspicious of Goodman

Explanation:

He still can't explain anything + I took the test :)

by CODY

The neighbors will start to believe that Les Goodman is an alien.

Option (D) is correct.

It is to find will most likely happen next?

What is most likely event?

More Likely (More Probable) One event (A) is more likely to occur than another event (B) when the theoretical probability of the event (A) is greater then that of the other event (B).

This excerpt is from the play the Monsters Are Due on Maple Street.

In this play, the people become suspicious of less Godman as they observe some unusual activities in the town.

They start gossiping about the roar of sound and a flash of light that took place at midnight.

The people of the town got scared but they heard nothing when they turned their radios on.

so, the neighbors will start to believe that Les Goodman is an alien.

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For f(x) = √(x+4) , what is the value of the function when x = 8 ? Round to the nearest hundredth.
NEED ANSWER ASAP!!​

Answers

Answer:

exact form : 2√3

decimal form : 3.46410161… or 3.46

hope this helps you!

Answer:

The value of the function is \(\sqrt{12}\). Rounded to the nearest hundredth, the answer is 3.46

Step-by-step explanation:

We are given the value of x, so we simply have to evaluate the function:

\(f(x)=\sqrt{x+4}\)

Substitute 8

\(f(8)=\sqrt{8+4}\)

Add in the radical

\(\sqrt{12}\)

The value of the function is sqrt(12).

Rounded to the nearest hundredth: \(3.46\)


What is the quotient of 6 and 3 ?

Answers

Answer:

well the answer would be 2

Answer:

2

Step-by-step explanation:

The Quotient is a keyword for division. 6 divided by 3 is 2. Or in other words, 3x2=6

Julia had a bag filled with gumballs. There were 1 lemon-lime, 2 watermelon, and 3 grape gumballs. What is the correct sample space for the gumballs in her bag?

A. Sample space = 1, 2, 3
B. Sample space = 1, 2, 3, 4, 5, 6
C. Sample space = lemon-lime, watermelon, grape
D. Sample space = lemon-lime, watermelon, watermelon, grape, grape, grape

Answers

The correct sample space for the gumballs in Julia's bag is {lemon-lime, watermelon, watermelon, grape, grape, grape} which makes option D correct.

How to evaluate for the sample sapce

The sample space for the gumballs in Julia's bag would be all the possible outcomes of selecting one gumball from the bag without replacement.

Since there are 1 lemon-lime, 2 watermelon, and 3 grape gumballs in the bag, the sample space would be expressed as:

sample space = {lemon-lime, watermelon, watermelon, grape, grape, grape}.

Therefore,we have 6 total outcomes in the sample space for the gumballs in Julia's bag.

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if you take away 25 from a number you will be left with two and halftimes 30. what is the number?​

Answers

The answer would be 100.
If you take away 25 from (100) you get 75.
70 also equals 2.5*30

A company that manufactures tires produces a tire that has average life span of 65,000 kilometers with a standard deviation of 5,200 kilometers. The distribution of the life spans of the tire is normal. What percent of the tires last at least 60,000 kilometers ?

Answers

Answer:

=> P(X <= 62500) = P((X-mean)/sd < (62500-65000)/3000)

= P(Z < -0.8333)

= 1 - P(Z < 0.8333)

= 1 - 0.7967

= 0.2033

=> P(X > 68500) = P(Z > (68500-65000)/3000)

= P(Z > 1.1667)

= 0.1210

=> P(60500 < X < 69500) = P((60500-65000)/3000 < Z < (69500-65000)/3000 )

= P(-1.5 < Z < 1.5)

= 0.8664

=> for P(X < x) = 0.03, for Z = -1.88

X = mean + Z*Sd = 65000 - (1.88*3000) = 59360

Step-by-step explanation:

I'm not sure if that correct , I really try my best to help

The required percent of tires last at least 60,000 kilometers is about 91%.

What is the standard deviation?

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation,

To solve this problem, we need to use the standard normal distribution. This is a special type of normal distribution where the mean is 0 and the standard deviation is 1. We can use this to standardize the tire life spans by subtracting the mean (65,000 km) and dividing by the standard deviation (5,200 km).

This gives us a standard normal distribution with a mean of 0 and a standard deviation of 1, and we can use a table or calculator to find the probability of a tire lasting at least 60,000 kilometers.

To do this, we need to find the probability that a tire lasts less than 60,000 kilometers and subtract this from 1. This probability is:

P(tire life < 60,000 km) = P(z < (60,000 - 65,000) / 5,200)

Where z is the standardized tire life span, and the probability is calculated using the standard normal distribution.

Calculating this, we find that P(tire life < 60,000 km) = P(z < -1.346) = 0.0913

Therefore, the probability that a tire lasts at least 60,000 kilometers is 1 - 0.0913 = 0.9087 or about 91%.

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The scale of a model train is 1 inch to 13.5 feet. One of the cars of the model train is 5 inches long. What is the length, in
feet, of the actual train car?
A 67.5
B) 32.4
14.5
2.7
How do I get this answer?

Answers

Using the scale factor the actual length is A. 67.5 feet

What is scale factor?

Scale factor is a number which we use to enlarge or reduce the dimensions of an object.

Since the scale of a model train is 1 inch to 13.5 feet. One of the cars of the model train is 5 inches long. To find the length, in feet, of the actual train car, we use scale factor

Scale factor = dimension on scale/actual dimension

Since scale factor is 1 inch to 13.5 feet, we have that

1inch/13.5 feet = dimension on scale/actual dimension

Let actual dimension = x.

Since dimension on scale = 5 inches,

Substituting these into the equation, we have that

1 inch/13.5 feet = 5 inches/x

Cross-multiplying, we have that

1 inch × x = 5 inches × 13.5 feet

x = 5 inches × 13.5 feet/1 inch

= 67.5 feet

So, the actual length is A. 67.5 feet

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what is the slope of the line through (5,4),(-2,-8)
Please do it step by step and asap

Answers

12/7

Slope is rise divided by run, which is (change in y) divided by (change in x).

See explanation:
what is the slope of the line through (5,4),(-2,-8)Please do it step by step and asap
the answer would 12/7 here are the steps

Collin can carry 5 1/4 lbs of
groceries in from the car.
His brother, Caden, can
carry 1 5/7 times as much as
Collin. How many lbs can
Caden carry?

Answers

Caden carry 9 lbs of groceries.

We have to given that;

Collin can carry 5 1/4 lbs of groceries in from the car.

And, His brother, Caden, can carry 1 5/7 times as much as Collin.

Hence, We can formulate;

To multiply Collin's weight capacity by Caden's weight capacity as follows:

⇒ 5 1/4 × 1 5/7

⇒ 21/4 × 12/7

⇒ 3 × 3

⇒ 9 lbs

Thus, Caden carry 9 lbs of groceries.

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Mary is baking cookies, and the recipe calls for 1 1/2 cups of sugar. If she has 6 1/3 cups of sugar left after she bakes the cookies, how much sugar (s) did she have before she started baking cookies? Which equation would you use to solve for (s)?

Answers

Answer:

7 5/6

Step-by-step explanation:

1 1/2= 1 3/6

6 1/3= 6 2/6

 1 3/6

+6 2/6

————-

7 5/6

Emma purchases a 20 ounce bottle of shampoo for 17$ What is the unit rate?

Answers

Answer:

1.176 ounces per dollar

Step-by-step explanation:

Two parallel lines are crossed by a transversal.
What is the value of d?

Answers

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

What is a Transversal?

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Two parallel lines are crossed by a transversal.What is the value of d?

Describe a situation that matches the equation 2(-8)=16

Answers

Answer:

The little drummer boy wanted to solve a math problem for Christmas so he asked Santa and he gave him 2(-8) which the little drummer boy evaluated to equal 16.

Step-by-step explanation:

You just have to be creative.

a 90% confidence interval is found to be (72,78). what is the margin of error​

Answers

The margin of error for the 90% confidence interval is 3.

To find the margin of error for a 90% confidence interval, we can use the formula:

Margin of Error = (Upper Limit - Lower Limit) / 2

Given the confidence interval (72, 78), where 72 is the lower limit and 78 is the upper limit, we can substitute these values into the formula to calculate the margin of error.

Margin of Error = (78 - 72) / 2

Margin of Error = 6 / 2

Margin of Error = 3

Consequently, the 90% confidence interval's margin of error is 3.

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Find the sum of the measures of the interior angles of the figure.

Find the sum of the measures of the interior angles of the figure.

Answers

Answer:

\(\huge\boxed{\sf 900}\)

Step-by-step explanation:

Sides of the figure = n = 7

Formula for measuring the interior angles of a polygon:

(n - 2)×180

Where n is the number of sides in the polygon

So,

Measure of interior angles in the figure:

= (n - 2) × 180

= (7 - 2) × 180

= 5 × 180

= 900

\(\rule[225]{225}{2}\)

Answer: 720°

Step-by-step explanation:

- Assuming this is a regular hexagon, all the sides are equal and all the angles are equal

- One of the properties of a regular hexagon is that the sum of all the interior angles is 720°

- Since the sum of all the interior angles is 720°, this means each interior angle is 120°

hope this helps :)

Simplify 3(x+2) + 2x + 5

Answers

Answer:

\(5x+11\)

Step-by-step explanation:

Step 1: Distribute

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

Step 2: Add like terms

\(5x+11\) < your answer

have you ever loved? would you go again?

Answers

Answer: After finding what i thought was love i couldnt go out and do it again but not i am more stable and im okay.

Step-by-step explanation:

yeah i think thats what you wanted im not sure tbh

Answer;

No but I want to do it

Add or write the fraction or mixed number in its simplest form
2/5 + 1/4 + 7/10

Answers

2/5 + 1/4 + 7/10
8/20 + 5/20 + 14/20
27/20 or 1 7/20

a bowl contains 30 eggs five of which are broken . if an egg is chosen at random , what is the probability that is not broken​

Answers

Answer:

5/6

Step-by-step explanation:

There are 30 total eggs

There are 30 -5 =25 not broken

P( not broken) = not broken/total

                        = 25/30

                       = 5/6

the national association of home builders ranks the most and least affordable housing markets based on the proportion of homes that a family earning the median income in that market could afford to buy. data containing the median income($1000s) and the median sale price($1000s) for a sample of 12 housing markets appearing on the list of most affordable markets were subjected to a simple linear regression analysis. the following results were obtained

Answers

The results based on the information provided in the question will be as follows:

a) By using the analysis of variance (ANOVA) table,

MSE= 440.1/10 = 44.01

F = 2717.9/44.01 =61.756

b) To interpret the slope of regression model,

the slope represents that for each $1000 increase in the income of a family on an average sale price increase by 2184.3

c) To calculate the value of coefficient of determination and its interpretation,

0.712 and the lowest that coefficient of determination is 0 and highest is 1. Thus, here the coefficient is high.

d) By using regression equation,

Price = 11.8+2.18×income

Predicted value = (-11.8+2.18×20)×1000 = 31800

e) To compute, 95% confidence slope

= 2.1843/2.228×0.278 = 1.565;2.804

f) The linear relationship between income and price,

All the intervals above have a value of more than 0 therefore we can conclude that the slope is significant. Thus, we have sufficient evidence that at 0.05 level of significance the linear relationship between income and price is inter related.

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Note that the full question is:

The National Association of Home Builders ranks the most and least affordable housing markets based on the proportion of homes that a family earning the median income in that market could afford to buy. Data containing the median income $1000s) and the median sale price($1000s) for a sample of 12 honsing markets appearing on the list of most affordable markets were subjected to a simple linear regression analysis. The following results were obtained. The regression equation is price-11.8 +2.18 income Predictor Coef StDev Constant11.80 12.84 income 2.1843 0.2780 S 6.634 Analysis of Variance Source Regression 1 2717.9 2717 DF SS MS F P Residuni Eror 10 440. Total 1 3158.0 a. Using the snalysis of variance table, find MSE b. Interpret the slope of the regression model. the valus ul and interpret it d. Using the estimated regression equation, the value ofy ifx-$20,000 e. Compute 95% confidence al for the slope 43-1+2.2280T g. At the 0.05 level of significunce, is there evidence of a linear relationship between income and price

If f(x) is a function which is continuous everywhere then we must have m= ?

If f(x) is a function which is continuous everywhere then we must have m= ?

Answers

The function is continuous only if m = 7.

How to find the value of m?

If the function is continue, then the value of the function needs to be the same one in both pieces of the function when we evaluate in x = -2

That means that:

f(-2) = f(-2)  (trivially)

Replacing the two pieces of the function we will get:

m*(-2) - 6 = (-2)^2 + 10*(-2) - 4

now we can solve that equation for m.

-2m - 6 = 4 -20 - 4

-2m = -20 + 6 = -14

m = -14/-2 = 7

m = 7

that is the value of m.

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Can someone help me solve both of these?

Can someone help me solve both of these?

Answers

1. 217

2. 217.428571429

Which of the following are equivalent to x2 – 4x + 9? Select four answers.
A. (x – 3)2 – 4x
B. (3x2 – 3x + 1) – (2x2 + x – 8)
C. (x – 3)(x + 3) – 2x
D. (x – 3)2 +2x
E. (x – 5)(x + 1) +14
F. (8x2 + 2x) – (4x2 + 6x) + (9 – 3x2)

Answers

Answer:

a).2x-6-5x-12x. this is answer

What is the solution to the system of equations?
3x+2y = 39
5x-y= 13

A. (4, 7)
B. (7, 4)
C. (12, 5)
D. (5, 12)

Answers

Answer: (5,12)

Step-by-step explanation:

Did it on Desmos graphing calculator

6. When a company receives an order, there is a probability of 0.42 that its value is over $1000. If an order is valued at over $1000, then there is a probability of 0.63 that the customer will pay with a credit card. a. What is the probability that the next three independent orders will each be valued at over $1000

Answers

Answer:

0.074088

Step-by-step explanation:

Let

A:Value of order over $1000

B:Customer pay with credit card

We are given that

Probability of value of order over $1000,P(A)=0.42

If an order is valued at over $1000, then the probability that the customer will pay with a credit card, P(B/A)=0.63

We have to find  the probability that the next three independent orders will each be valued at over $1000

We know that

When two two events A and B are independent then

\(P(A\cap B)=P(A)\cdot P(B)\)

Using the formula

The probability that the next three independent orders will each be valued at over $1000=\(0.42\times 0.42\times 0.42\)

The probability that the next three independent orders will each be valued at over $1000=0.074088

How much time will it take for a bug to travel 75 meters across the floor if it is traveling at 5 m/s?

Answers

15 seconds, I did this in class and I got most of them right and the ones I didn’t get right were way harder than that

What is the slope of a line perpendicular to the line whose equation is
2x – 2y = 20.

What is the slope of a line perpendicular to the line whose equation is2x 2y = 20.

Answers

Answer:

-1

Step-by-step explanation:

Solve for y into y=mx+b

2x-2y=20

-2y=-2x+20

y=(-2x+20)/-2

y=x-10

the slope is m, so it’s 1

A line perpendicular to that would be -1

Kim bought a pair of shoes on sale for 39.60. The sale price was 45% of the original price. What was the original price of the shoes in dollars

Answers

If the price of $39.60 corresponds to 45% of the original price, we can use the following rule of three to find the price that corresponds to 100% of the original price:

\(\begin{gathered} \text{price}\to percentage \\ 39.6\to45\% \\ x\to100\% \end{gathered}\)

Now, we can write the following proportion and solve it for x:

\(\begin{gathered} \frac{39.6}{x}=\frac{45}{100} \\ x\cdot45=39.6\cdot100 \\ x=\frac{39.6\cdot100}{45} \\ x=88 \end{gathered}\)

Therefore the original price was $88.

There are 26 boys and 20 girls in a class.
The boys and the girls have some counters.
The mean number of counters that the boys have is 28.
The mean number of counters that the girls have is 19.

Work out the mean number of counters the 46 children have.

Answers

Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

What is the mean?

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

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