Write everything on one side
2/3x-y+1=0
multiply by 3
2x-3y+3=0
I hope this is what you're looking for
Answer:
1.
Variable: x
Inequality: x ≤ 12
Value that matches: 12
2.
Variable: y
Inequality: y < 66
Value that matches: 60
Step-by-step explanation:
Solving (1):
Let x be the variable
Reading through the question, we have the inequality to be represented by "at most".
At most is used for less than or equal to.
Hence, the expression can be represented by:
x ≤ 12
The range of this inequality is limited to all natural number that do not exceed 12.
Examples are 8, 2, 11, 12
Solving (2):
Let the variable be y
Reading through the question, we have the inequality to be represented by "below".
Below means less than
Hence, the expression can be represented by:
y < 66
The range of this inequality is limited to all number less than 66.
Examples are 65, 1 , 60......
Answer:
The model for the temperature of the drink can be written as
Step-by-step explanation:
For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.
We can model that in this way
If we rearrange and integrate
We know that at time 0, the temperature of the drink was 52°F. Then we have:
We also know that at t=2, T=55°F
The model for the temperature of the drink can be written as
Angle 1 is congruent to angles 3, 5, and/or 7
Angle 2 is congruent to angles 4, 6, and/or 8
Angle 5 is congruent to angles 7, 3 and/or 1
Angle 6 is congruent to angles 8, 4, and/or 2
Any of these answers could work for the blanks.
Angles 1 and 3, 2 and 4, 5 and 7, and angles 6 and 8 are congruent because they are vertical angles. They have the same vertex. Not all of these are congruent to each other if this doesn’t make sense. It’s only 1 is congruent to 3, 2 congruent to 4, etc.
Then you have your corresponding angles. These are ones like angles 2 and 6, then 1 and 5. You can also have 8 and 4, or 7 and 3 as corresponding angles
Transversal angles are different. This would be like angles 3 and 4, or 1 and 2. They are not always congruent. The only time they will be congruent is if they are both 90°. Transversal angles are essentially supplementary angles on the transversal line (the line that intersects through the set of parallel lines)
A fraction is a way to describe a part of a whole. A fraction can be a proper fraction, an improper fraction, or a mixed fraction.
<h3>What is a Fraction?</h3>
A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
A fraction consists of two whole numbers, a number that is above the fraction line which is the Dividend, while the number that is below the fraction line is known as the denominator and is the divisor. The result or the answer which we get when we solve the fraction is the factor or can be said, it is the quotient of the operation.
Suppose there is a fraction, a/b which is equal to c, then,
a is the dividend, b is the divisor, and c is the quotient.
Learn more about Fraction:
brainly.com/question/1301963
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