1. Which of the following can be used to rewrite the expression (3)(2+c) Select three correct answers.
A. Distributive Property of Multiplication over Addition
B. Associative Property of Addition
C. Associative Property of Multiplication
D. Commutative Property of Addition
E. Commutative Property of Multiplication
2. What properties are used to rewrite (8u)v+9w as 9w+8(uv) Select two correct answers.
A. Distributive Property of Multiplication over Addition
B. Associative Property of Multiplication
C. Associative Property of Addition
D. Commutative Property of Multiplication
E. Commutative Property of Addition
1. To solve for resistance (R), we can rearrange Ohm's law equation as follows:
R = V/I
Given that V = 60 Volts and I = 0.5 amps, we can substitute these values into the equation:
R = 60/0.5 = 120 ohms
So the correct answer is A. 120 ohms.
2. To solve for C, we can rearrange the given equation as follows:
F = (9/5)C + 32
Subtract 32 from both sides of the equation:
F - 32 = (9/5)C
Then multiply both sides of the equation by (5/9):
(5/9)(F - 32) = C
So the correct answer is B. C = (5/9)(F - 32)
1. A. Distributive Property of Multiplication over Addition
C. Associative Property of Multiplication
E. Commutative Property of Multiplication
2. A. Distributive Property of Multiplication over Addition
C. Associative Property of Addition
1. Ohm's law states that the voltage (V) of a circut is equal to its current (I) times its resistance (R).
V=IR
Solve for the resistance (R) in ohms of a circut if V= 60
Volts and I=0.5amps
A. 120 ohms
B. 60 ohms
C. 240 ohms
D. 30 ohms
2. Solve the following equation for C
F=9/5c+32
A. C=5/9(F+32)
B. C=5/9(F-32))
C. C=9/5(F+32)
D. C=9/5(F-32)
1. The correct answers are A. Distributive Property of Multiplication over Addition, C. Associative Property of Multiplication, and E. Commutative Property of Multiplication.
To rewrite the expression (3)(2+c), we can use the properties as follows:
- Distributive Property of Multiplication over Addition:
(3)(2+c) = (3)(2) + (3)(c) = 6 + 3c
- Associative Property of Multiplication:
(3)(2) = (2)(3) = 6
- Commutative Property of Multiplication:
(3)(c) = (c)(3) = 3c
2. The correct answers are A. Distributive Property of Multiplication over Addition and E. Commutative Property of Addition.
To rewrite the expression (8u)v+9w as 9w+8(uv), we can use the properties as follows:
- Distributive Property of Multiplication over Addition:
(8u)v+9w = 8(uv) + 9w
- Commutative Property of Addition:
8(uv) = (uv)8
- Commutative Property of Addition:
(uv)8 = 8(uv)
Combining these steps, we get:
(8u)v+9w = 9w + 8(uv)