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
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
use pemdas
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.
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 = 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.
what is it
The correct order of operations for evaluating the expression 7 × 6 ÷ (13 - 10) + 4 is multiplication, subtraction, division, addition, and the result is 18.
so A, B, C, or D,
The order of operations is multiplication, subtraction, division, addition, which corresponds to option B:
B. multiplication, subtraction, division, addition
To find the distance that Mr. Roberts drove on Tuesday, we need to determine how much he drove more than half the distance he drove on Monday.
Let's break down the information given in the question:
On Monday, Mr. Roberts drove 42 miles.
On Tuesday, he drove 5 miles more than half the distance he drove on Monday.
To find half the distance he drove on Monday, we divide 42 by 2:
42 ÷ 2 = 21
Now, we need to add 5 miles to half the distance to get the total distance he drove on Tuesday:
21 + 5 = 26
Therefore, the expression that represents the distance Mr. Roberts drove on Tuesday is:
D. (42 ÷ 2) + 5