Answer: x = 2/5 in fraction form
In decimal form, the answer is x = 0.4
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Work Shown:
2/3 = two thirds
2/3 + (1/3)x = 2x is the equation you're given
Multiply every term by 3 so that we clear out the fractions
3*(2/3) + 3*(1/3)x = 3*2x
2 + x = 6x
From here, we solve for x
2 + x = 6x
2+x-x = 6x-x .... subtract x from both sides
2 = 5x
5x = 2
5x/5 = 2/5 ... divide both sides by 5
x = 2/5
x = 0.4
We have an initial value of $43 and every hour the price of the reservation increases $8.70, then, the function that determinates the price for the meeting room is
The history club have a limit value that is $77.80, then, to find the amount of hours they can spend at the meeting room we just need to solve the following inequality:
Solving for t:
The maximum amount of hours they can spend in the meeting room is 4 hours.
For future reference, use a * to show the multiplication sign because in math x is a variable. 7*2 = 9 + x
Now multiply 7*2= 14
14 = 9 + x
Now subtract 9 from both sides to isolate the x
5 = x or x= 5
1) Definitions:
1.1) Inverse statement: negating the hypothesis and the conclusion of the original statement, i.e.:
conditional statement: p → q
inverse: ~p → ~q (the symbol ~ means the negation)
1.2) Converse statement: switching the hypothesis and the conclusion of the conditional statement, i.e.:
conditional statement: p → q
converse: q → p
2) converse of the given statement
conditional: <span>If a line is vertical, then it has undefined slope.
converse: switch the hypothesis and the conclusion
if a line has undefined slope, then it is vertical <------- answer
</span>3) Inverse of the given statement
conditional: if <span>a line is vertical, then it has undefined slope.
inverse: negate both hypothesis and conclusion.
</span>if a line is not vertical, then it does not have an undefined slope <---answer
First, multiply the first equation by 2.
That turns the first equation into:
6x - 2y = 18
That way it can easily be added to the second equation:
6x - 2y = 16
x + 2y = 5
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7x = 21
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As you can see, the y disappeared, which was the objective of this operation.
Now the equations can be solved easily:
7x = 21
x = 3
Insert x=3 in the original equation:
3*3 - y = 8
9 - y = 8
9 = 8 + y
y = 1
So the result is:
x = 3
y = 1
