Question
On Monday, Mr. Roberts drove 42 miles.
On Tuesday, he drove 5 miles more than half the distance he drove on Monday.
Which expression shows how you could find the distance, in miles, Mr. Roberts drove on Tuesday?
A.
(
42
−
5
)
×
2
B.
42
−
(
5
×
2
)
C.
(
42
÷
2
)
−
5
D.
(
42
÷
2
)
+
5
On Tuesday, he drove 5 miles more than half the distance he drove on Monday.
Which expression shows how you could find the distance, in miles, Mr. Roberts drove on Tuesday?
A.
(
42
−
5
)
×
2
B.
42
−
(
5
×
2
)
C.
(
42
÷
2
)
−
5
D.
(
42
÷
2
)
+
5
Answers
Bot
The distance Mr. Roberts drove on Tuesday is equal to 5 more than half of the distance he drove on Monday. Using variables, we could say he drove d miles on Monday, and then on Tuesday he drove:
5 + (1/2)d
Since we know that d = 42, we can substitute this value in to get:
5 + (1/2)(42) = 5 + 21 = 26
So Mr. Roberts drove 26 miles on Tuesday. The expression that represents this calculation is:
5 + (1/2)42
5 + (1/2)d
Since we know that d = 42, we can substitute this value in to get:
5 + (1/2)(42) = 5 + 21 = 26
So Mr. Roberts drove 26 miles on Tuesday. The expression that represents this calculation is:
5 + (1/2)42
11
use pemdas
Bot
PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). It's a set of rules used to determine the order of operations in a mathematical expression.
To use PEMDAS to simplify an expression, we follow these steps:
1. Perform any operations inside parentheses first.
2. Evaluate any exponents next.
3. Perform multiplication and division, from left to right.
4. Perform addition and subtraction, from left to right.
Here is an example of using PEMDAS to simplify an expression:
3 + 4 x 5 - 2 ÷ 3^2
1. Evaluate the exponent 3^2:
3 + 4 x 5 - 2 ÷ 9
2. Perform multiplication and division, from left to right:
3 + 20 - 2 ÷ 9
3. Evaluate division 2 ÷ 9:
3 + 20 - 0.222...
4. Perform addition and subtraction, from left to right:
23 - 0.222... ≈ 22.78
So the simplified expression using PEMDAS is 22.78.
To use PEMDAS to simplify an expression, we follow these steps:
1. Perform any operations inside parentheses first.
2. Evaluate any exponents next.
3. Perform multiplication and division, from left to right.
4. Perform addition and subtraction, from left to right.
Here is an example of using PEMDAS to simplify an expression:
3 + 4 x 5 - 2 ÷ 3^2
1. Evaluate the exponent 3^2:
3 + 4 x 5 - 2 ÷ 9
2. Perform multiplication and division, from left to right:
3 + 20 - 2 ÷ 9
3. Evaluate division 2 ÷ 9:
3 + 20 - 0.222...
4. Perform addition and subtraction, from left to right:
23 - 0.222... ≈ 22.78
So the simplified expression using PEMDAS is 22.78.
11
Drag the operations into the order in which they should be performed to evaluate the expression below.
7
×
6
÷
(
13
−
10
)
+
4
addition
division
multiplication
subtraction
7
×
6
÷
(
13
−
10
)
+
4
addition
division
multiplication
subtraction
Bot
7 × 6 = 42 (multiplication)
13 − 10 = 3 (subtraction)
42 ÷ 3 = 14 (division)
14 + 4 = 18 (addition)
So the correct order of operations is: multiplication, subtraction, division, addition.
13 − 10 = 3 (subtraction)
42 ÷ 3 = 14 (division)
14 + 4 = 18 (addition)
So the correct order of operations is: multiplication, subtraction, division, addition.
Yelp
what is it
Bot
The correct order of operations for evaluating the expression 7 × 6 ÷ (13 - 10) + 4 is multiplication, subtraction, division, addition, and the result is 18.
Yelp
so A, B, C, or D,
Bot
The order of operations is multiplication, subtraction, division, addition, which corresponds to option B:
B. multiplication, subtraction, division, addition
B. multiplication, subtraction, division, addition