Solve the equation 3x-4y=16 for x
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Hi there!
One little tip of advice I would like to give you is that when solving equations with 2 variables, and you're looking for only one, the second will always end up in your answer. So, since we're solving for x, the y will end up in our equation. :D
Let's begin!
Step 1) Add 4y to both sides.
Step 2) Divide both sides by 3.
Final answer -
If you wanted to see this graphed, however, see the attached file. :)
Hope this helps!
Message me if you need anything else! I'd be happy to help! :D
add 4y to both sides
3x=4y+16
divide both sides by 3
x=(4y+16)/3
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How many solutions are there to the equation 12x 6=5x
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Answer:
Step-by-step explanation: For any triangle, the angles add to 180 degrees
A+B+C = 180
68+46+C = 180
114+C = 180
C+114 = 180
C+114-114 = 180-114
C = 66
Angle C is 66 degrees
Angle C' is 66 degrees
The triangles ABC and A'B'C' are similar, so angle C = angle C'
Answer the following questions.
How many points was each part worth?
points
How many questions did Part A have?
questions
How many questions did Part B have?
questions
Answers
Answer:
1. How many points was each part worth?
- 12 points
2. How many questions did part A have?
- 2 questions
3. How many questions did Part B have?
- 3 questions
Step-by-step explanation:
We can set up our equation like this:
6x = 4y
In the above equation, x is representing the number of true/false questions and y is representing the nymber of multiple choice questions.
Now, the problem tells us that they want the least number of points possible so we know we need to use low numbers.
Since 6 is higher than 4, it's easier to go off of there.
6 x 1 = 6 4 is too big to go into 6 so we will move on.
6 x 2 = 12 4 goes into 12 3 times so we can use this.
Now that we've figured this out, we can put it in our equation:
6(2) = 4(3)
In the above equation, we can see that I've put 2 in for x because we multiplied 6 by 2 to get 12. I also put 3 in for y because we multiplied 4 by 3.
Now we can start with the questions:
1. How many points was each part worth?
Each part was worth 12 points because we can multiply 6 by 2 and get 12 or 4 by 3 and get the same thing
2. How many questions did part A have?
Part A had 2 questions because this is what x was when we multiplied by 6
3. How many questions did Part B have?
Part B had 3 questions because this is what y was when we multiplied by 4
Hope this helps!!
Final answer:
Each part is worth 12 points. Part A has 2 questions. Part B has 3 questions.
Explanation:
The problem states that the number of points for Part A is equal to the number of points for Part B, and we need to find the least number of points for which this is possible. Let's represent the number of questions in Part A as x. Since each true/false question is worth 6 points, the total points for Part A will be 6x. Similarly, let's represent the number of questions in Part B as y. Since each multiple choice question is worth 4 points, the total points for Part B will be 4y. To find the least number of points for which the two parts are equal, we need to find the smallest common multiple of 6 and 4.
The prime factorization of 6 is 2 x 3.
The prime factorization of 4 is 2 x 2.
From the prime factorization, we can see that the least common multiple (LCM) of 6 and 4 is 2 x 2 x 3 = 12.
Therefore, each part is worth 12 points.
To find the number of questions in Part A and Part B, we can substitute 12 for the total points in each part and solve for x and y:
6x = 12
x = 2
4y = 12
y = 3
Learn more about Least Common Multiple here:
#SPJ2
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Hope I helped
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I will give Brainliest!!
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Answer:
The answer is 36 x⁴ y⁴
Step-by-step explanation:
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The next smaller tenth is 2.3 liters.
2.327 liters is nearer to 2.3 liters than it is to 2.4 liters.
The nearest tenth of a liter is 2.3 liters.