A. (
96
−
72
)
÷
12
and C. (
96
÷
12
)
−
72
Determine which of the expressions could be used to represent the following calculation:
Divide the difference between 96 and 72 by 12.
Select all that apply.
A.
(
96
−
72
)
÷
12
B.
96
−
(
72
÷
12
)
C.
(
96
÷
12
)
−
72
D.
24
÷
12
E.
96
÷
6
41 answers
use pemdas
Sure! PEMDAS is a helpful acronym that stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). It tells us the order of operations in arithmetic.
Using PEMDAS to simplify expressions makes it easier to avoid errors and get the right answer.
For example, consider the expression:
2 + 3 x 5 - 4 / 2
Using PEMDAS, we would first do any calculations inside parentheses (there are none here), then any exponents (none here), then multiplication and division:
2 + 3 x 5 - 4 / 2 = 2 + 15 - 2
Next, we do addition and subtraction from left to right:
2 + 15 - 2 = 15
So the simplified expression is 15.
Remembering and using PEMDAS is an important part of performing calculations accurately and efficiently.
Using PEMDAS to simplify expressions makes it easier to avoid errors and get the right answer.
For example, consider the expression:
2 + 3 x 5 - 4 / 2
Using PEMDAS, we would first do any calculations inside parentheses (there are none here), then any exponents (none here), then multiplication and division:
2 + 3 x 5 - 4 / 2 = 2 + 15 - 2
Next, we do addition and subtraction from left to right:
2 + 15 - 2 = 15
So the simplified expression is 15.
Remembering and using PEMDAS is an important part of performing calculations accurately and efficiently.
Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom.
(
72
÷
8
)
−
2
×
3
+
1
72
÷
(
8
−
2
)
×
3
+
1
72
÷
(
8
−
2
)
×
(
3
+
1
)
72
÷
8
−
2
×
(
3
+
1
)
(
72
÷
8
)
−
2
×
3
+
1
72
÷
(
8
−
2
)
×
3
+
1
72
÷
(
8
−
2
)
×
(
3
+
1
)
72
÷
8
−
2
×
(
3
+
1
)
Let's simplify each expression using PEMDAS and compare them:
1. (
72
÷
8
)
−
2
×
3
+
1
= 9 - 6 + 1 = 4
2. 72 ÷ (
8
−
2
)
×
3
+
1
= 12 × 3 + 1 = 37
3. 72 ÷ (
8
−
2
)
×
(
3
+
1
)
= 12 × 4 = 48
4. 72 ÷ 8 − 2 × (
3
+
1
)
= 9 - 8 × 4 = -23
So, the correct order from least to greatest is:
4. 72 ÷ 8 − 2 × (
3
+
1
)
3. 72 ÷ (
8
−
2
)
×
(
3
+
1
)
1. (
72
÷
8
)
−
2
×
3
+
1
2. 72 ÷ (
8
−
2
)
×
3
+
1
1. (
72
÷
8
)
−
2
×
3
+
1
= 9 - 6 + 1 = 4
2. 72 ÷ (
8
−
2
)
×
3
+
1
= 12 × 3 + 1 = 37
3. 72 ÷ (
8
−
2
)
×
(
3
+
1
)
= 12 × 4 = 48
4. 72 ÷ 8 − 2 × (
3
+
1
)
= 9 - 8 × 4 = -23
So, the correct order from least to greatest is:
4. 72 ÷ 8 − 2 × (
3
+
1
)
3. 72 ÷ (
8
−
2
)
×
(
3
+
1
)
1. (
72
÷
8
)
−
2
×
3
+
1
2. 72 ÷ (
8
−
2
)
×
3
+
1
Drag the operation signs to make the equation true. An operation may be used once. more than once, or not at all
+−×÷
12
(
7
−
4
)
+
5
3 = 19
+−×÷
12
(
7
−
4
)
+
5
3 = 19
12 ÷ (7 − 4) × 5 + 3 = 19.
So we need to drag the signs in the following order:
÷, (, −, ), ×, +
So we need to drag the signs in the following order:
÷, (, −, ), ×, +
Drag the operation signs to make the equation true. An operation may be used once. more than once, or not at all
× returned to choices list.
+−×÷
12
(
7
−
4
)
+
5
3 = 19
× returned to choices list.
+−×÷
12
(
7
−
4
)
+
5
3 = 19
12 ÷ (7 + 3) × 5 - 4 = 19.
So we need to drag the signs in the following order:
÷, (, +, ), ×, -, 4
So we need to drag the signs in the following order:
÷, (, +, ), ×, -, 4
fill in the blanks
12_(7-4)+5_3=19
12_(7-4)+5_3=19
12 ÷ (7 - 4) + 5 × 3 = 19.
Select all of the expressions that are equal to
8
×
35
.
A.
8
×
(
30
+
5
)
B.
5
+
3
×
35
C.
(
8
×
30
)
+
(
8
×
5
)
D.
(
8
+
30
)
×
(
8
+
5
)
E.
8
×
(
20
+
15
)
8
×
35
.
A.
8
×
(
30
+
5
)
B.
5
+
3
×
35
C.
(
8
×
30
)
+
(
8
×
5
)
D.
(
8
+
30
)
×
(
8
+
5
)
E.
8
×
(
20
+
15
)
A. 8 × (30 + 5)
C. (8 × 30) + (8 × 5)
E. 8 × (20 + 15)
All of these expressions simplify to:
8 × 35 = 280
C. (8 × 30) + (8 × 5)
E. 8 × (20 + 15)
All of these expressions simplify to:
8 × 35 = 280
Phillipa rode her bicycle every day over the weekend. Phillipa rode
[
(
13
.
5
+
8
.
5
)
÷
2
]
miles on Friday,
[
18
−
(
2
×
4
)
]
miles on Saturday and
[
20
−
(
5
−
3
)
]
miles on Sunday.
On which day did Phillipa ride her bicycle the most?
She rode her bicycle the most on
.
[
(
13
.
5
+
8
.
5
)
÷
2
]
miles on Friday,
[
18
−
(
2
×
4
)
]
miles on Saturday and
[
20
−
(
5
−
3
)
]
miles on Sunday.
On which day did Phillipa ride her bicycle the most?
She rode her bicycle the most on
.
Phillipa rode her bicycle the most on Sunday.
To calculate the distance she rode on each day, we need to simplify the expressions given:
- She rode [
(
13.5 + 8.5)
÷
2
] = [
22
÷
2
] = 11
miles on Friday.
- She rode [
18
−
(
2
×
4
)
] = [
18
−
8
] = 10
miles on Saturday.
- She rode [
20
−
(
5
−
3
)
] = [
20
−
2
] = 18
miles on Sunday.
Therefore, Phillipa rode the most on Sunday when she rode 18 miles.
To calculate the distance she rode on each day, we need to simplify the expressions given:
- She rode [
(
13.5 + 8.5)
÷
2
] = [
22
÷
2
] = 11
miles on Friday.
- She rode [
18
−
(
2
×
4
)
] = [
18
−
8
] = 10
miles on Saturday.
- She rode [
20
−
(
5
−
3
)
] = [
20
−
2
] = 18
miles on Sunday.
Therefore, Phillipa rode the most on Sunday when she rode 18 miles.
Evan and Peter have a radio show which consists of 2 segments. They need 4 less than 11 songs in the first segment. In the second segment, they need 5 less than 3 times the number of songs in the first segment.
Part A
Write an expression for the total number of songs they need for their show.
A.
(
11
−
4
)
+
3
×
11
−
4
−
5
B.
(
11
−
4
)
+
3
×
(
11
−
4
)
−
5
C.
(
11
−
4
)
+
3
−
4
×
11
−
5
D.
(
11
−
4
)
+
3
−
5
×
(
11
−
4
)
Part B
Evaluate the expression.
A.
39 songs
B.
31 songs
C.
25 songs
D.
23 songs
Part A
Write an expression for the total number of songs they need for their show.
A.
(
11
−
4
)
+
3
×
11
−
4
−
5
B.
(
11
−
4
)
+
3
×
(
11
−
4
)
−
5
C.
(
11
−
4
)
+
3
−
4
×
11
−
5
D.
(
11
−
4
)
+
3
−
5
×
(
11
−
4
)
Part B
Evaluate the expression.
A.
39 songs
B.
31 songs
C.
25 songs
D.
23 songs
Part A:
Let x be the number of songs they need in the first segment. Then, they need:
- 11 - 4 = 7 songs in the first segment.
- 3x - 5 songs in the second segment.
The total number of songs they need for their show is:
7 + (3x - 5) = 3x + 2
So, the correct expression for the total number of songs they need for their show is:
B. (11 - 4) + 3×(11 - 4) - 5
Part B:
Now we can evaluate the expression to find the total number of songs they need for their show:
(11 - 4) + 3×(11 - 4) - 5 = 7 + 3×7 - 5 = 16×2
Therefore, they need 31 songs in total for their show. The answer is B.
Let x be the number of songs they need in the first segment. Then, they need:
- 11 - 4 = 7 songs in the first segment.
- 3x - 5 songs in the second segment.
The total number of songs they need for their show is:
7 + (3x - 5) = 3x + 2
So, the correct expression for the total number of songs they need for their show is:
B. (11 - 4) + 3×(11 - 4) - 5
Part B:
Now we can evaluate the expression to find the total number of songs they need for their show:
(11 - 4) + 3×(11 - 4) - 5 = 7 + 3×7 - 5 = 16×2
Therefore, they need 31 songs in total for their show. The answer is B.
Which series of events gained national support for the Civil Rights movement? (1 point)
Responses
the media coverage of Freedom Riders
the media coverage of Freedom Riders
the media coverage of segregated areas
the media coverage of segregated areas
the media coverage of violence towards peaceful protestors
the media coverage of violence towards peaceful protestors
the media coverage of sit-ins
the media coverage of sit-ins
Responses
the media coverage of Freedom Riders
the media coverage of Freedom Riders
the media coverage of segregated areas
the media coverage of segregated areas
the media coverage of violence towards peaceful protestors
the media coverage of violence towards peaceful protestors
the media coverage of sit-ins
the media coverage of sit-ins
the media coverage of Freedom Riders
the media coverage of violence towards peaceful protestors
the media coverage of sit-ins
All of these events involved nonviolent protests by Civil Rights activists and drew widespread attention to the injustices of segregation and racial discrimination, helping to galvanize national support for the Civil Rights movement.
the media coverage of violence towards peaceful protestors
the media coverage of sit-ins
All of these events involved nonviolent protests by Civil Rights activists and drew widespread attention to the injustices of segregation and racial discrimination, helping to galvanize national support for the Civil Rights movement.
Which series of events gained national support for the Civil Rights movement? (CHoose ONE)
Responses
the media coverage of Freedom Riders
the media coverage of Freedom Riders
the media coverage of segregated areas
the media coverage of segregated areas
the media coverage of violence towards peaceful protestors
the media coverage of violence towards peaceful protestors
the media coverage of sit-ins
Responses
the media coverage of Freedom Riders
the media coverage of Freedom Riders
the media coverage of segregated areas
the media coverage of segregated areas
the media coverage of violence towards peaceful protestors
the media coverage of violence towards peaceful protestors
the media coverage of sit-ins
the media coverage of Freedom Riders.
Which main idea were people fighting for when they protested segregation during the civil rights movement?(1 point)
Responses
freedom
freedom
suffrage
suffrage
equality
equality
states’ rights
Responses
freedom
freedom
suffrage
suffrage
equality
equality
states’ rights
equality.
Where is the candidate from a political party for national offices officially chosen?(1 point)
Responses
general election
general election
runoff election
runoff election
open primary
open primary
national convention
Responses
general election
general election
runoff election
runoff election
open primary
open primary
national convention
The candidate from a political party for national offices is officially chosen at the national convention.
What is a piece of legislation voted on directly by the citizens?(1 point)
Responses
ballot measure
ballot measure
general election
general election
incumbent
incumbent
primary election
primary election
Responses
ballot measure
ballot measure
general election
general election
incumbent
incumbent
primary election
primary election
A piece of legislation voted on directly by the citizens is called a ballot measure.
What does the Center for American Progress give information about?(1 point)
Responses
emergencies and disasters
emergencies and disasters
modern issues related to civic responsibility
modern issues related to civic responsibility
issues such as Women's History Month
issues such as Women's History Month
African American History Month
African American History Month
Responses
emergencies and disasters
emergencies and disasters
modern issues related to civic responsibility
modern issues related to civic responsibility
issues such as Women's History Month
issues such as Women's History Month
African American History Month
African American History Month
The Center for American Progress gives information about modern issues related to civic responsibility.
Which type of information could be found on Ready Kids?(1 point)
Responses
information on planning for diseases
information on planning for diseases
guidance for creating an emergency plan
guidance for creating an emergency plan
facts about different types of disasters
facts about different types of disasters
resources about good citizenship
Responses
information on planning for diseases
information on planning for diseases
guidance for creating an emergency plan
guidance for creating an emergency plan
facts about different types of disasters
facts about different types of disasters
resources about good citizenship
Guidance for creating an emergency plan can be found on Ready Kids.
Which transitional word or phrase is used to make a time connection between two ideas?(1 point)
Responses
simultaneously
simultaneously
likewise
likewise
to illustrate
to illustrate
to demonstrate
Responses
simultaneously
simultaneously
likewise
likewise
to illustrate
to illustrate
to demonstrate
The transitional word "simultaneously" is used to make a time connection between two ideas.
who made u
I was created by a team of programmers and engineers.
from where
As an AI language model developed by OpenAI, I don't have a physical existence or origin in a specific location. However, OpenAI is a research organization based in San Francisco, California.
soo what is the anwser
I was created by a team of programmers and engineers from OpenAI, a research organization based in San Francisco, California.
Determine which of the expressions could be used to represent the following calculation:
Divide the difference between 96 and 72 by 12.
Divide the difference between 96 and 72 by 12.
A. (
96
−
72
)
÷
12
and C. (
96
÷
12
)
−
72
96
−
72
)
÷
12
and C. (
96
÷
12
)
−
72
1 answer