Determine if the expressions 100 divided by (25 divided by 5) and (100 divided by 25) divided by 5 are equivalent. If so, tell what property is applied. If not explain why.

Answers

Answer 1

Answer:

They aren't equivalent because when using P.E.M.D.A.S you solve what is in the parenthesis first. After you solve what is in the parenthesis the two expressions are completely different.  

Step-by-step explanation:

100/(5)=20    (4)/5= .8

Answer 2

The requried results of the two expressions are different (20 and 0.8), the expressions are not equivalent.

Expression 1:
100 ÷ (25 ÷ 5)

Evaluate the expression inside the parentheses.

25 ÷ 5 = 5

Replace the expression inside the parentheses with its result:

100 ÷ 5

Perform the division:

100 ÷ 5 = 20

So, the result of Expression 1 is 20.

Expression 2:
(100 ÷ 25) ÷ 5

Evaluate the expression inside the first set of parentheses.

100 ÷ 25 = 4

Replace the expression inside the first set of parentheses with its result:

4 ÷ 5

Perform the division:

4 ÷ 5 = 0.8

So, the result of Expression 2 is 0.8.

Since the results of the two expressions are different (20 and 0.8), the expressions are not equivalent.

The reason why they are not equivalent is due to the order of operations. In Expression 1, we first divide 25 by 5 and then divide 100 by the result, while in Expression 2, we first divide 100 by 25 and then divide the result by 5.

Learn more about division here:

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Related Questions

Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more than 590 calories riding her bike at the same rate. Which inequality represents all possible values for t, the number of hours Ms. Gallegos must ride her bike to burn more than 590 calories?

Answers

Answer:

T = 2.5

Step-by-step explanation:

Hope this helps!

Answer:

T >2.5

Step-by-step explanation:

a cash prize of $4,800 is awarded at a fundraiser. if 1200 ticket's are sold at $9 each find the expected value​

Answers

Answer:

is 10,800

Step-by-step explanation: you multiply 1,200 x 9

3x + y = 19
2x - y = 6​

Answers

Answer:

Step-by-step explanation:

(x,y)=(5,4)

HELP PLEASE WILL GIVE BRAINLIST

Answers

You multiply the radius by 2 and then multiply that by pi(3.14)so your answer would be 31.4
The answer is 31.4 hope it helps!!!

What is the measure of N

Answers

Answer:

C) 27 degrees

Step-by-step explanation:

N+63=90

-63. -63

N=27

please help will give brainliest if can :)

Answers

Answer:

56 degrees

Step-by-step explanation:

Hope this helps

Answer:

124 degrees

Step-by-step explanation: I added them both together

Please help ASAP I need to solve AD

Answers

Answer:

6

Step-by-step explanation:

All sides on a rhombus are equal

guys why does my bottle thats called shampoo taste like soap and its fluffy it says cucumber edition i wanted to taste it but it tastes nothing like cucumber and it makes me gassy please help and explain how to stop this

Answers

Answer:

I'm pretty sure you can stop it by not drinking shampoo.

Step-by-step explanation:

shampoo is bad for you.

Answer:

Stop eating the shampoo

Step-by-step explanation:

If, you don't eat the cucumber shampoo it will not make you gassy.

Someone was interested in determining if there is a difference in the proportion of US adults that working hard was the most important thing for a child to learn in 2012 and 2018. They found data on this in the General Social Survey. In 2018, out of 1542 respondents, 415 said it was the most important. In 2012, out of 1323 respondents, 326 said it was the most important. Find the margin of error with 95% confidence.

Answers

Answer:

0.01521

Step-by-step explanation:

The Margin of Error for Difference in Proportions is given as:

z × √p1 × (1 - p1)/n1 - p2 × (1 - p2)/n2

z = z score for 95% confidence interval

= 1.96

In 2018, out of 1542 respondents, 415 said it was the most important.

p1 = x1/n1

x1= 326 n1 = 1323

p1 = 326/1323

0.246409675

Approximately = 0.246

In 2012, out of 1323 respondents, 326 said it was the most important.

p2 = x2/n2

x2 = 415, n2 = 1542

p2= 415/1942

p2 = 0.2136972194

Approximately = 0.214

Margin of Error =

1.96 × √0.246× (1 - 0.246)/1323- 0.214 × (1 - 0.214)/1542

1.96 × √0.0005699169 - 0.0005097276

1.96 × √(0.0000601893)

1.96 × 0.0077581763

= 0.0152060256

Approximately = 0.01521

Therefore, Margin of Error = 0.01521

You can use the formula for margin of error for difference in proportion to find the margin of error with 95% confidence.

The margin of error with 95% confidence for the given data is given by

MOE = 0.32

How to calculate margin of error for difference in proportion to find the margin of error ?

Suppose we've two samples with sample sizes [tex]n_1[/tex] and [tex]n_2[/tex] respectively. Let the interested quantities found out in those samples out of their sample sizes are  [tex]x_1[/tex] and [tex]x_2[/tex] respectively. Then we have the margin of error for difference in proportion to find the margin of error as:

[tex]MOE = Z_{\alpha/2} \times \sqrt{\dfrac{p_1(1-p_1)}{n_1} + \dfrac{p_2(1-p_2)}{n_2}}[/tex]

where we have:

[tex]p_1 = \dfrac{x_1}{n_1}\\\\p_2 = \dfrac{x_2}{n_2}[/tex]

and

[tex]\alpha = \text{Level of significance}[/tex]

Using the given data to get the margin of error

[tex]Year = 2015\\n_1 = 1542\\x_1 = 415\\\\Year = 2012\\n_2 = 1323\\x_2 = 326\\\\\alpha = 100-95\% = 1-0.95 = 0.05[/tex]

For 95% confidence, we have Z score as 1.96

The proportions are calculated as:

[tex]p_1 = \dfrac{415}{1542} = 0.269\\\\p_2 = \dfrac{326}{1323} = 0.246[/tex]

Thus, margin of error is calculated as

[tex]MOE = 1.96 \times \sqrt{\dfrac{0.269 \times 0.731}{1542} + \dfrac{0.246 \times 0.754}{1323}} = 1.96 \times \sqrt{0.000127 + 0.00014}\\\\MOE = 1.96 \times 0.01634 = 0.032[/tex]

The margin of error with 95% confidence for the given data is given by

MOE = 0.32

Learn more about margin of error here:

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6x +2(5x - 6) *
Your answer

Answers

It has to be 16x-12 hope I am right

Which triangle side lengths form a right triangle? Choose all that apply.
5,6,7
6, 8, 14
8,15, 17
10,12,15
15, 20, 25
16, 18, 20

Answers

Answer:

8.,15,17

Step-by-step explanation:

use pythagoras theorem formula

Which is the greater rate, 15 miles in 12 minutes or 25 miles in 20 minutes?

Answers

25 miles in 20 minutes

Create a word problem that can be represented by the following system of equations.
X + y = 50
2x + 4y = 120

Answers

Answer:

Step-by-step explanation:

You run a train station that sells children tickets for 2 dollars and adult tickets for 4 dollars

The total tickets sold on Saturday was 50

The train station made 120

How many adult tickets and kid tickets did they sell?

(40 kids, 10 adults)

A pen cost $40 and the book cost $10

The word problem that can be represented by the equation is: John bought one pen and one book for $50. He went the next day and bought 2 pens and 4 books for $120.

x + y = 50 ....... i

2x + 4y = 120 .... ii

Let x = pen

Let y = book.

From equation i, x = 50 - y

Since 2x + 4y = 120

2(50 - y) + 4y = 120

100 - 2y + 4y = 120

Collect like terms

-2y + 4y = 120 - 100

2y = 20

y = 10

Therefore, a book cost $10

Since x + y = 50

x + 10 = 50

x = 50 - 10

x = 40

A pen cost $40

Read related link on:

https://brainly.com/question/20986179

THIS ASSIGNMENT IS DUE IN 5 MINUTES...IF ITS CORRECT ILL MARK IT AS BRAINIEST, thanks in advance❤️! (this is my second time posting this, the answer isn’t 80...if you don’t know how to do this please don’t try answering the question) Find the area of the regular polygon given below

Answers

Answer:

400

Step-by-step explanation:

Answer:

11,011.055

Step-by-step explanation:

Consider the following hypothesis test: H 0: 50 H a: > 50 A sample of 50 is used and the population standard deviation is 6. Use the critical value approach to state your conclusion for each of the following sample results. Use = .05. a. With = 52.5, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select b. With = 51, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select c. With = 51.8, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select

Answers

Answer:

Part a:

The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.

Part b:

The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.

Part c:

The calculate value of Z = 2.1213  lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.

Step-by-step explanation:

Data as given

H 0: μ ≤ 50 against the claim H a:  μ> 50  one tailed test

Z (0.05)= ± 1.645

Sample size n= 50

Using the central limit theorem

Population Standard Deviation= σ=s=6

X= 52.5 , 51 and 51.8

Part a:

Z= x-μ/ s/ √n

Z= 52.5- 50 / 6/ √50

Z= 2.5/0.84853

z= 2.946

The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.

Part b:

Z= x-μ/ s/ √n

Z= 51- 50 / 6/ √50

Z= 1/0.84853

z= 1.17851

The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.

Part c:

Z= x-μ/ s/ √n

Z= 51.8- 50 / 6/ √50

Z= 1.8/0.84853

z= 2.1213

The calculate value of Z = 2.1213  lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.

Find the reciprocal of the number 2/7

Answers

Answer:

7/2

Step-by-step explanation:

The reciprocal is basically just flipping the fraction upside down. Reciprocal is also called inverse.

What are the truck ID’s of trucks that have carried small shipments. Small shipments are defined as those that weigh less than 800 pounds? (HInt: Avoid duplcates.)

Answers

Table for the question is attached in the picture below :

Answer:

SELECT distinct(TRUCK_ID), WEIGHT from SHIPMENT where WEIGHT < 800 ;

Step-by-step explanation:

The Structured query language (SQL) defined above, returns only the TRUCK_ID and Weight column from the shipment table as they are the only two columns listed after the select keyword. The condition is added using the WHERE keyword on the weight table, this filters the result returned to include only rows where the weight value is less than 800. The distinct keyword used alongside the TRUCK_ID column ensures that a certian TRUCK_ID value isn't returned more than once (Hence, it is used to avoid duplicates).

EASY TRUE OR FALSE QUESTION

Answers

Answer:

Its false

Step-by-step explanation:

It cant increase

Answer:

it issss false

What is 13/20 as a part to part ratio

Answers

65%

Convert fraction (ratio) 13 / 20 Answer: 65%


Sully saves 2/3 of her paycheck for bills. If she makes $1,983, how much does she
have to pay her bills?

Answers

2/3
3 being what she makes as a whole
3x661=1983
So this means that we need to multiply 2 by 661 to get our answer
2x661=1322
Answer: 1,322

What is the slope of the line with the equation -5 - x = y?
O 5
O 1
O -1
O-5

Answers

Answer:

-1

Step-by-step explanation:

What ever number is in front of x that is the answer. If there is only a x then it means 1.

The answer is c I thought it was b first but the 5 is negative so -1

An optical inspection system is used to distinguish among different part types. The probability of a correct classification of any part is 0.93. Suppose that three parts are inspected and that the classifications are independent. Let the random variable X denote the number of parts that are correctly classified. Determine the probability mass function of X.
Probability Mass Function of X
x f(x)
0
1
2
3

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Let P(X = x) mark x model number classified correctly.

The mass function of the probability:

[tex]\to f(0) = P(X=0) = (0.03)^3 = 0.0000\\\\\to f(1) = P(X=1) = (3 C_1)\times (0.97)\times (0.03)^2 = 0.0026\\\\\to f(2) = P(X=2) = (3 C_2)\times (0.97)^2 \times (0.03) = 0.0847\\\\\to f(3) = P(X=3) = (0.97)^3 = 0.9127\\\\[/tex]

[tex]x \ \ \ \ f(x) \\\\0\ \ \ \ 0.0000\\\\1\ \ \ \ 0.0026\\\\2\ \ \ \ 0.0847\\\\3\ \ \ \ 0.9127[/tex]

HELP PLEASE ITS URGENT

What is m
Look at the image above

Answers

Answer:

m∠F = 90°

Step-by-step explanation:

By the property of a kite,

"One pair of the opposite angles are congruent"

m∠E ≅ m∠G

m∠E = m∠G = 113°

Sum of the interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides of the polygon

For a kite, n = 4

Therefore, sum of the interior angles of the given kite = (4 - 2) × 180°                                                                          

                                                                                          = 360°

Therefore, m∠E + m∠F + m∠G + m∠H = 360°

113° + m∠F + 113° + 44° = 360°

m∠F = 360° - 270°

m∠F = 90°

what is 6,383 in expended form?

Answers

Answer:

expanded notation form:

 6,383 =

 6,000  

+ 300  

+ 80  

+ 3  

expanded factors form:

   6,383 =

 6 × 1,000  

+ 3 × 100  

+ 8 × 10  

+ 3 × 1  

expanded exponential form:

 6,383 =

6 × 103

+ 3 × 102

+ 8 × 101

+ 3 × 100

Step-by-step explanation:

i wasn't entirely sure what you needed but i hope this helps :) have a great day !!

Pls help me
I will give brainliest

Answers

Answer:

I am you helper

Step-by-step explanation:

please help me please i really need help please

Answers

The answer is
a = 4
b = -1
a=4
b=-1 they were right

Triangle JLM is shown below.
M
17 in.
25 in.
J
8 in. K
20 in.
What is the area of triangle JLM?
O A 350 in.2
O B. 240 in.
OC. 300 in.2
O D. 210 in.2

Answers

Answer:

D) 210 in²

Step-by-step explanation:

Solve for KM.

8²+b²=17²

64+b²=289

b²=289-64

b²=225

b=√225

b=15 (Which is the length of KM, the height of the triangle)

Area=1/2bh

A=1/2(28)(15)

A=210

00:00
A fruit farm has a total of 386 apple trees, peach trees, and pear trees.
There are 156 apple trees and 126 peach trees. How many pear trees are there?
Enter your answer in the box.
pear trees

Answers

Answer:

A s h i t load

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

156+126=282 & 386-282=104 so,the answer is 104

Simplify
-3(2.5-k)+0.5(7+8k)

Answers

Answer:

-7•5+3k+3•5+4k

-7•5+3•5+4k+3k

-4+7k

On a scale drawing, the scale is 12 inch = 1 foot. What are the dimensions on the scale drawing for a room that is 22 feet by 17 feet?

Answers

Answer:

......

Step-by-step explanation:

Answer

11 inches by 8.5 inches

Step-by-step explanation:

We can use proportions to solve this problem, drawing on top, real life on bottom

1/2 inch           x inches

-------------- = ----------

1 ft                  22ft

Using cross products

1/2 * 22 = x*1

11  =x

11 inches

1/2 inch           x inches

-------------- = ----------

1 ft                  17ft

Using cross products

1/2 * 17 = x*1

8.5 =x

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