Evaluate 4/5^2
To evaluate 4/5^2, we need to first evaluate 5^2 and then divide 4 by the result.
5^2 = 5 * 5 = 25
4/25 is the final answer.
What is the simplified form of the expression 3[14(42-32)-5]?
To simplify the expression 3[14(42-32)-5], we need to follow the order of operations, also known as PEMDAS.
First, we need to perform the subtraction inside the parentheses: 42 - 32 = 10.
Next, we need to multiply 14 by the result: 14 * 10 = 140.
Now, we can plug this result back into the expression and continue simplifying: 3[140 - 5].
Next, we need to perform the subtraction inside the brackets: 140 - 5 = 135.
Lastly, we multiply 3 by the result: 3 * 135 = 405.
Therefore, the simplified form of the expression 3[14(42-32)-5] is 405.
What is the simplified form of the expression 3[14(4^2-3^2)-5]?
To simplify the expression 3[14(4^2-3^2)-5], we need to follow the order of operations, also known as PEMDAS.
First, we need to evaluate the exponents inside the parentheses: 4^2 = 16 and 3^2 = 9.
Next, we subtract the values: 16 - 9 = 7.
Now, we can plug this result back into the expression and continue simplifying: 3[14(7) - 5].
Next, we need to perform the multiplication inside the parentheses: 14 * 7 = 98.
Now, we have 3(98 - 5).
Next, we need to perform the subtraction: 98 - 5 = 93.
Lastly, we multiply 3 by the result: 3 * 93 = 279.
Therefore, the simplified form of the expression 3[14(4^2-3^2)-5] is 279.
Which ordered pair is the solution of the equation y=5x+3?
(3,18)
(3,0)
To determine which ordered pair is a solution of the equation y = 5x + 3, we need to substitute the x and y values of each ordered pair into the equation and see which one makes the equation true.
Let's start with the first ordered pair (3, 18):
For x = 3, and y = 18
Substituting these values into the equation, we have:
18 = 5(3) + 3
18 = 15 + 3
18 = 18
This means that the equation y = 5x + 3 is true for the ordered pair (3, 18).
Now let's check the second ordered pair (3, 0):
For x = 3, and y = 0
Substituting these values into the equation, we have:
0 = 5(3) + 3
0 = 15 + 3
0 = 18
This means that the equation y = 5x + 3 is not true for the ordered pair (3, 0).
Therefore, the solution of the equation y = 5x + 3 is the ordered pair (3, 18).
Solve the equation for m: 3m-4=26
To solve the equation 3m - 4 = 26 for m, we need to isolate the variable m on one side of the equation.
First, let's move the constant term -4 to the other side of the equation by adding 4 to both sides:
3m - 4 + 4 = 26 + 4
This simplifies to:
3m = 30
Next, we want to get m by itself, so we need to divide both sides of the equation by 3:
(3m)/3 = 30/3
Simplifying further:
m = 10
Therefore, the solution to the equation 3m - 4 = 26 is m = 10.