Can someone please help me with these problems?Out of 35 problems these are the ones I can not figure out.Please show all of the stepswith no shortcuts. I am sincerely trying to learn this stuff.Thanks
4y-2+y+36=7y+40-5y
5.3x-5.36=4.24-6.7x
6(x+4)=8(x-2)
In a triangle ABC, angle B is 3 times angle A and angle C is 19 degrees less than 6 times A. What is the size of angle A?
Here's the first one.
4y-2+y+36=7y+40-5y
4y + y -7y + 5y = 2 - 36 + 40
3y = 6
y = 2
Follow the above procedure and try the others. I'll be glad to check your answers.
5.3x-5.36=4.24-6.7x
5.3x+6.7x=4.24+5.36
12x=9.6
12x/12=9.6/12
x=.8 If this is wrong can you illustrate what corrections need to be made?
6(x+4)=8(x-2)
6x+24=8x-16
14x=24+16
14x=40
14x/14=40/14
x=2.8571428
that does not even sound right
In a triangle ABC, angle B is 3 times angle A and angle C is 19 degrees less than 6 times A. What is the size of angle A?
(3A)+(^A-19)+A=180 degrees
10A-19=180
10A-19+19=180+19
10A=199
10A/10=199/10
A=19.9 degrees.
I wouldappreciate any advice you can give me to understand this math. I am about to lose it. Thank you so much.
The first one is correct.
However, you forgot to subtract in the second problem.
6(x+4)=8(x-2)
6x+24=8x-16
6x - 8x = -24 + (-16)
Your third answer is correct.
Is 20 the correct answer to the problem?
6(x+4)=8(x-2)
I just checked and if I checked right,20 is the answer.What is the rule for getting like variables together. Do you always subtract the right from the left?
Yes. 20 is correct.
Not necessarily. You want to get the unknowns on one side and the knowns on the other side.
Examples:
2x + 5 = 11
2x + 5 - 5 = 11 - 5
11 = 2x + 5
11 - 5 = 2x + 5 - 5
Sure, I'd be happy to help you with these problems step by step.
1. 4y - 2 + y + 36 = 7y + 40 - 5y
First, let's simplify both sides of the equation by combining like terms:
4y + y - 2 + 36 = 7y - 5y + 40
Combining like terms:
5y + 34 = 2y + 40
Next, let's isolate the variable by getting rid of the constant terms on one side and the variable terms on the other side. Start by subtracting 2y from both sides:
5y - 2y + 34 = 2y - 2y + 40
This simplifies to:
3y + 34 = 40
Now, subtract 34 from both sides to isolate the variable term:
3y + 34 - 34 = 40 - 34
This simplifies to:
3y = 6
Finally, divide both sides of the equation by 3 to solve for y:
(3y)/3 = 6/3
This simplifies to:
y = 2
So, the solution for y is y = 2.
2. 5.3x - 5.36 = 4.24 - 6.7x
First, let's simplify both sides of the equation by combining like terms:
5.3x + 6.7x = 4.24 + 5.36
Combining like terms:
12x = 9.6
Next, divide both sides of the equation by 12 to isolate the variable x:
(12x)/12 = 9.6/12
This simplifies to:
x = 0.8
So, the solution for x is x = 0.8.
3. 6(x + 4) = 8(x - 2)
First, distribute 6 to both terms inside the parentheses on the left side of the equation:
6x + 24 = 8(x - 2)
Next, distribute 8 to both terms inside the parentheses on the right side of the equation:
6x + 24 = 8x - 16
Now, let's isolate the variable by getting rid of the constant terms on one side and the variable terms on the other side. Start by subtracting 6x from both sides:
6x - 6x + 24 = 8x - 6x - 16
This simplifies to:
24 = 2x - 16
Next, add 16 to both sides:
24 + 16 = 2x - 16 + 16
This simplifies to:
40 = 2x
Finally, divide both sides of the equation by 2 to solve for x:
(40)/2 = (2x)/2
This simplifies to:
20 = x
So, the solution for x is x = 20.
4. In a triangle ABC, angle B is 3 times angle A and angle C is 19 degrees less than 6 times A. What is the size of angle A?
Let's assume the measure of angle A is "x".
According to the question:
Angle B = 3 * Angle A
Angle C = 6 * Angle A - 19
Since the sum of angles in a triangle is 180 degrees, we can set up an equation:
Angle A + Angle B + Angle C = 180
Substitute the values we have into the equation:
x + 3x + (6x - 19) = 180
Combine like terms:
10x - 19 = 180
Now, let's isolate the variable term by getting rid of the constant term on one side. Start by adding 19 to both sides:
10x - 19 + 19 = 180 + 19
This simplifies to:
10x = 199
Finally, divide both sides of the equation by 10 to solve for x:
(10x)/10 = 199/10
This simplifies to:
x = 19.9
So, the size of angle A is 19.9 degrees.