Simplify the expression.
13−2(1−15)÷4
responses
A. -38.5
B. 7.25
C. -26
D. 20
To simplify the expression 13 - 2(1 - 15) ÷ 4, first calculate the value inside the parentheses:
1 - 15 = -14.
Then, multiply -14 by 2:
-14 * 2 = -28.
Next, divide -28 by 4:
-28 ÷ 4 = -7.
Finally, subtract -7 from 13:
13 - (-7) = 13 + 7 = 20.
Therefore, the simplified expression is 20.
The correct response is D. 20.
Solve for r. r5−6=−1
To solve for r in the equation r^5 - 6 = -1, we can follow these steps:
1. Add 6 to both sides of the equation to isolate the term with r:
r^5 = -1 + 6
r^5 = 5
2. Take the fifth root of both sides to eliminate the exponent of 5:
∛(r^5) = ∛5
r = ∛5
Therefore, the solution for r is the cube root of 5.
Solve for x. −3x−8=10
To solve for x in the equation -3x - 8 = 10, we can follow these steps:
1. Add 8 to both sides of the equation to isolate the term with x:
-3x = 10 + 8
-3x = 18
2. Divide both sides by -3 to solve for x:
x = 18 / -3
x = -6
Therefore, the solution for x is -6.
Simplify the expression. (2x+2)−(3x+11)
To simplify the expression (2x + 2) - (3x + 11), we can distribute the negative sign to the terms inside the second parentheses:
(2x + 2) - (3x + 11) = 2x + 2 - 3x - 11
Next, combine like terms:
2x - 3x + 2 - 11 = -x - 9
Therefore, the simplified expression is -x - 9.
What is the first step in solving the equation: 20=6x−4
The first step in solving the equation 20 = 6x - 4 is to isolate the term with x. To do this, we can add 4 to both sides of the equation.
Adding 4 to both sides:
20 + 4 = 6x - 4 + 4
This simplifies to:
24 = 6x
Now, the equation is in the form 6x = 24.