Part A
4x+6=2x-12
4x+6+12=2x
4x+18-2x=0
2x=-18
Part B
24=6x-18
4=x-3
Another example you can use is P:trees provide air, Q: 7 is an odd number. Write pq as a sentence. Then construct a truth table for this conditional. Solution: The conditional pq represents " If trees provide air, then 7 is an odd number." Trees provide air is the hypothesis, and 7 is an odd number is the conclusion. Note that the logical meaning of this conditional statement is not the same as its intuitive meaning. In logic, the conditional is defined to be true unless a true hypothesis leads to a false conclusion.
The implication of pq is that: since trees provide air, this makes 7 an odd number. However, intuitively, we know that this is false because the trees and the number 7have nothing to do with one another! Therefore, the logical conditional allows implications to be true even when the hypothesis and the conclusion have no logical connection
Hmm idk if this is what you need, but here we go: Amy is 5 years older than her brother, John. Her age is 19. How old is John?
x-John
x+5=19
x=19-5=14
John is 14.
Step-by-step explanation:
Remember to follow PEMDAS. PEMDAS = Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction.
Note the equation:
y = (1/4)x + 1
Plug in a number to x, & solve to get the answer for the variable (y).
In this question, they give you 3 numbers to plug into x: 4, 8, 12. Plug them in:
<u>When x = 4</u>
y = (1/4)(4) + 1
Solve. Simplify. Remember to follow PEMDAS. First, multiply 1/4 with 4:
y = (1/4)(4) + 1
y = (1 * 4)/4 + 1
y = 4/4 + 1
y = 1 + 1
Simplify. Combine the terms:
y = 1 + 1
y = 2
when x = 4, y = 2.
<u>When x = 8</u>
y = (1/4)(8) + 1
Solve. Simplify. Remember to follow PEMDAS. First, multiply 1/4 with 8:
y = (1/4)(8) + 1
y = (1 * 8)/4 + 1
y = 8/4 + 1
y = 2 + 1
y = 3
when x = 8, y = 3.
<u>When x = 12</u>
y = (1/4)(12) + 1
Solve. Simplify. Remember to follow PEMDAS. First, multiply 1/4 with 12:
y = (1/4)(12) + 1
y = (1 * 12)/4 + 1
y = 12/4 + 1
y = 3 + 1
y = 4
when x = 12, y = 4.
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Answer:
8 miles
Step-by-step explanation:
24/3 = 8