Which shows the best use of the associative and commutative properties to
make simplifying 2.4 + 13 – 5 + 3.6 +7 easier?
O A. (2.4 + 13) + (-5 +3.6 + 7)
O B. (2.4 + (-5) + 13) + (7 + 3.6)
Oc. (7+ 2.4 + 13) + [3.6+ (-5)]
O D. (2.4+ 3.6) + [13 +7+(-5)]
SUBMIT

Answers

Answer 1

Answer: D

Step-by-step explanation:

Answer 2

The best use of the associative and commutative properties to simplify the expression 2.4 + 13 - 5 + 3.6 + 7 would be:

D. (2.4 + 3.6) + [13 + 7 + (-5)]

By applying the associative property, we can group the numbers in a way that allows for easier computation.

Here, we group 2.4 and 3.6 together and 13, 7, and -5 together. This allows us to simplify each group separately and then add the results together.

Calculating the groups:

(2.4 + 3.6) = 6

[13 + 7 + (-5)] = 15

Now, we add the results together:

6 + 15 = 21

So, the simplified expression is 21. Therefore, option D provides the best use of the associative and commutative properties to simplify the given expression.

Learn more about the associative and commutative properties here:

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Related Questions

At Harry’s discount handware everything is sold for 20% less than the price marked .if Harry buys tool kits for $80 what price should he mark them of he wants to make 20% profit on his cost

Answers

Answer is D-$120

20% of $80=16
so, the selling price=80+16=$96
Let, by the mark price of 20% profit=x
so, x-(20% of x)=96
or, x-x/5=96
or, x= (96*5)/4
or, x=$120 (Ans)

Spencer randomly samples the out-of-state tuition and fees for 25 public universities and found a mean of $21,032 with a standard deviation of $2,494. Using the alternative hypothesis that µ < $21,706, Spencer found a z test statistic of -1.35.

Given the data provided, what is the p-value of the z-test statistic?

Answers

Answer: 0.0885

Step-by-step explanation:

To find :  p-value of the z-test statistic.

p-value of the z-statistic depends on the alternative hypothesis.

Here , Alternative hypothesis :  µ < $21,706 , which is a left tailed hypothesis.

So we will check the area to the left side of the z-statistic.

Since z= -1.35

P(Z<z) =P(Z<-1.35)= 1- P(Z<1.35)

= 1- 0.9115

= 0.0885

Hence, the required p-value = 0.0885

Answer:

0.0885

Step-by-step explanation:

Solve for a .

5.4 = a - (-1.8)


a =

Answers

5.4=a+1.8
5.4-1.8=a
a=3.6

Answer:

3.6 = a

Step-by-step explanation:

5.4 = a - ( -1.8)

Distribute minus sign.

5.4 = a + 1.8

Move constant to the left hand side and change their sign.

5.4 - 1.8 = a

3.6 = a

Identify the graph that displays the depth of water in a swimming pool after the drain is opened.​

Answers

Answer:

option b is the answer because if we open drain then depth of water will decrease continuously with time and in option b graph it is clearly visible that depth and time are inversely proportional to each other so if time increases then depth of water decrease.

Answer:

b

Step-by-step explanation:

Whats the slope of the line?​

Answers

Answer:

-4,5

Step-by-step explanation:

There are two ways you can figure it out.

One way is to choose any two distinct points (x1,y1) and (x2,y2) on the line then use the slope formula below to find the slope m.

m=y2−y1x2−x1. So your points are (-2,2) and (-2,3)

So you need to find the y and x coordinates-

Should I continue explaining? Or r u good?

What is the value of p if the expression 4(n+7) is equivalent to (n+p)4?

Answers

Answer:

p = 7

Step-by-step explanation:

set the expressions = to each other

4(n+7) = 4(n+p)

distribute the 4 on both sides(multiplying the numbers on the inside)

4n+28 = 4n+4p

subtract the 4n from the right and left

28 = 4p

divide by 4

p = 7

Robert bough 3/4 pound of grapes and divided them into 6 equal portions.
What is the weight of each portion?
*

Answers

Answer: The answer should be 0.125

Step-by-step explanation:

2. A spider can walk at a certain speed and run at
another speed. If she walks for 10 seconds and runs for 9
seconds, she travels 85m. If she walks for 30 seconds and
runs for 2 seconds, she travels 130m. Find her speeds of
walking and running.

Answers

Answer:

The answer is below

Step-by-step explanation:

Speed is the ratio of distance covered to the time taken. Speed is given by the formula:

speed = distance / time.

Let us assume the spider walking speed is x and its running speed is y.

If the spider walks for 10 seconds and runs for 9  seconds, she travels 85m. distance = speed * time, hence:

Total distance = distance covered walking + distance covered running

10x + 9y = 85     (1)

Also if she walks for 30 seconds and  runs for 2 seconds, she travels 130m. Hence:

30x + 2y = 130   (2)

Solving equation 1 and 2 simultaneously by mutiplying equation 1 by 3 and subtracting equation 2 from the result:

25y = 125

y =5 m/s

Put  y = 5 in eqn. 2

30x + 2(5) = 130

30x = 120

x = 4 m/s

The spider walks at 4 m/s and runs at 5 m/s

Max bought a new pair of basketball shoes that were on sale for 25% off. If the regular price of the shoes was $75.95, what is the amount of discount?

Answers

$56.96

1) 75.95 x .25= 18.9875= 18.99
2) 18.99 -75.95= 56.96

What is 63 divided by 36?

Answers

Answer:

1.75

Step-by-step explanation:

used a calculator

Answer:

63÷36=1.75

Step-by-step explanation:

itz easy

mark me as a brainlist

Solve the following problems:
Find x , y PLEASE HELP

Answers

Answer:

x=5/4, y=7/4

Step-by-step explanation:

This is a similar triangles problem.

The first triangle (the smaller one) has the lengths 5, 8 and 7.

The second triangle (the lager one) has the lengths 5+x, 10, and 7+y

Let's first solve for x

In any similar triangles problem, you can make two ratios (all the ratios of the sides are the same)

since we don't know the measures for x and y first, we can use the ratio of the parallel lines (the bases) as the first ratio (8/10)

For the second ratio, it's smaller/bigger, so it'll be 5/(x+5)

here's the proportion

5/(x+5)=8/10

But before we multiply, we can simplify 8/10 to 4/5

so

5/(x+5)=4/5

Cross multiply

25=4x+20

5=4x

5/4=x

For y, we can do a similar process

We can use 8/10 or 4/5 again

and the ratio of the sides for y will be 7/(y+7)

7/(y+7)=4/5

35=4y+28

7=4y

7/4=y

Hope this helps!

Haya la integral de xarcsenx/((1-x^2)^1/2). Utiliza la sustitución de t= arcsenx
Mi duda está la final, cuando queda - tcost + sent + k, no sé cómo sustituir t= arcsent

Answers

Answer:

Explicación más abajo

Step-by-step explanation:

Integración Indefinida

La integral

[tex]I=\int \dfrac{x .arcsen\left(x\right)}{\sqrt{1-x^2}}[/tex]

Se resuelve con el cambio de variables:

t=arcsen(x)

Una vez hechos los cambios, la integral se resuelve en función de t:

[tex]I=sen(t)-t.cos(t)+C[/tex]

Hay que devolver los cambios para mostrarla en función de x.

El cambio de variables también se puede escribir:

x=sen(t)

Recordando que

[tex]cos(t)=\sqrt{1-sen^2(t)}[/tex]

Entonces:

[tex]cos(t)=\sqrt{1-x^2}[/tex]

Devolviendo los cambios:

[tex]I=sen(t)-t.cos(t)+C=x-arcsen(x)\sqrt{1-x^2}+C[/tex]

Es la respuesta correcta

Find the distance represented by x

Answers

180

Explanation:
Set a equation of a ratio 120/90=x/135
And calculate!
90x=(120)(135)
90x=16200
x=180

the distance of X is 180ft

A USB stick can store 1.1x10 power of 3
megabytes of data.
A hard drive can store 4x10 power of 4
megabytes of data.
How much more can the hard drive store?
Give your answer in standard form

Answers

Answer:

uhhh

Step-by-step explanation:

Answer:

3.82 x 10

Step-by-step explanation:

divide 4 x 10^4 by 1.1 x 10^3

4 divided by 1.1 is 3.81818181... and you subtract exponents to get 1

PLZ ANSWER IF U KNOW THE ANSWER​

Answers

Answer:

Scott

Step-by-step explanation:

you got it right, -20 absolute value is 20

How many minuets would it take me to get 10,000 points if I get 60 points every 5 minuets?

Answers

Step-by-step explanation:

833.3 I believe and u welcome if I'm right

It would take around 833.3 minutes to get 10,000 points

Hope this helps

3. To make purple frosting, you start with white frosting.
Then you add 2 drops of red food coloring and 3 drops of
blue food coloring. If 4 red drops come out with the first
squeeze, how many blue drops should you add?

Answers

Answer:  6 drops of blue

==================================================

Explanation:

We basically mix red and blue to get purple. The ratio needed is 2 parts red, and 3 parts blue. We can shorten this by writing 2:3

Note how we can double both parts of the ratio to get 4:6, showing that 4 drops of red correspond to 6 drops of blue, which is the answer we want.

------------------

Another approach:

x = some positive real number

(2 parts red)/(3 parts blue) = (4 parts red)/(x parts blue)

2/3 = 4/x

2x = 3*4 .... cross multiply

2x = 12

x = 12/2 .... divide both sides by 2

x = 6

So 6 drops of blue go with 4 drops of red.

1) James needs to obtain $80,000 for his daughter's future college tuition. He is looking to invest in an
account that pays 3.1% annual interest. The account compounds quarterly. How much money would
James have to invest today so that 15 years from now, he will have the money?

Answers

Answer:

$ 50,340.97

Step-by-step explanation:

From the above question, we can deduce that we are to find the Initial amount invested which is also called the Principal.

The formula to find Principal in a compound interest question is:

P = A / (1 + r/n)^nt

Where:

A = Total Amount obtained after invested = $80,000

r = Interest rate = 3.1% = 0.031

n = number of times interest in compounded = Quarterly = 4

t = time in years = 15

P = $80,000/(1 + 0.031/4)^4 × 15

P = $80,000/(1 +0.00775)^60

P = $ 50,340.97

Hence, James would have to invest $50,340.97 today to have $80,000 in 15 years.

Cube the following number
A. 1
B. 2
C. 4
D. 8

Answers

Answer: 1, 8, 64, 512

Step-by-step explanation:

1^3 = 1 * 1 * 1 = 1

2^3 = 2 * 2 * 2 = 8

4^3 = 4 * 4 * 4 = 64

8^3 = 8 * 8 * 8 = 512

What is the decimal multiplier to decrease by 2.7%?

Answers

Multiplying by 1 keeps it the same. A number greater than 1 would be an increase and a number below 1 would be a decrease.

The decrease is 2.7% which is written as 0.027 as a decimal.

Subtract that from 1:

1 - 0.027 = 0.973

The multiplier would be 0.973

can anyone help me thanks

Answers

Answer:

grams

Step-by-step explanation:

kilometers is for length, milugrams are too small and millimeters dosent make sense

WILL GIVE BRAINLIEST!

Answers

D)

Table D is the only table of the four that represents a graph in which, when x increases, y increases at a constant rate, like a linear graph should. This means that, when graphed, it would show a straight line, with slope 0.5

A tank is 4/5 full of water after drawing
off 190 liters,5 liters of water
is just 1/6 full .what is the capacity of the tank​

Answers

Answer: L300



Explanation:
(4/5)L
t - 190 = (1/6)L
---
(4/5)L - 190 = (1/6)L
(24/30)L - (5/30)L = 190
(19/30)L = 190
L = 190(30/19)

Rhonda's backyard has a rectangular patio that is 12.5 feet long,

Answers

Answer:

34992.66

Step-by-step explanation:

nice to know!

At a sale, dresses were sold for $22 each. This price was 55% of a dress's original price. How much did a dress originally cost? Answer: Submit Answer attempt 1 out o Privacy Policy Terms of Service acer​

Answers

Answer:

$9.90

Step-by-step explanation:

someone sells a product for 10 cents and he sells 1000 products, how much money did he earn

Answers

Answer:

$100

Step-by-step explanation:

10¢ × 1,000 = 10,000¢To convert to dollars: Cents ÷ cents in 1 dollarTo convert to dollars: 10,000¢ ÷ 100¢ = $100

I hope this helps!

He earns $100 from selling

I need help please lol

Answers

Answer:

b d f  i think sorry if this doesnt help but have a great day :)

Step-by-step explanation:

Sam's age is 2 years less than 3 times Kim's age. If Kim's age is x years, which expression best shows Sam's age?

x
x − 1
2x − 3
3x − 2

Answers

Answer:

3x - 2

Step-by-step explanation:

3 times Kim's age (x), so 3x; minus 2 years (Sam's age).

Answer:

The answer is 3x - 2  :)

Step-by-step explanation: 3x = 3 times Kim's age (x) minus 2

[tex]\frac{r}{6} = 8[/tex]

what is r?

Answers

The answer is 48, hope that helps
My answer~

r = 48

My explanation~

r/6 = 8 // - 8

r/6-8 = 0

1/6*r-8 = 0 // + 8

1/6*r = 8 // : 1/6

r = 8/1/6

r = 48

And to check~

48/6

48 ÷ 6

=

8

:PP hope i helped!!have a good day :3

g(x)=3x-5 find g(-2)

Answers

Answer:

g(2) = -11

Step-by-step explanation:

So, g(-2), basically meaning that x = -2.

Since we know that, we need to plug -2 into all of the x's.

g(2) = 3(-2) - 5

g(2) = -6 - 5

g(2) = -11

The required value of g(2) would be -11.

What are the functions?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The function is given in the question following as:

g(x) = 3x-5

We have to determine the value of g(2) to the given function.

As per the given question, we have

⇒ g(x) = 3x-5

So, g(-2), this meaning that x = -2.

Now, substitute the value of x = -2 in the given function,

⇒ g(2) = 3(-2) - 5

⇒ g(2) = -6 - 5

Apply the addition operation, and we get

⇒ g(2) = -11

Therefore, the required value of g(2) would be -11.

Learn more about the functions here:

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