The solution of the equation 20x = x + 3 will be 3 / 19. Then the correct option is A.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
Ten times a number, x, is one-half the sum of the number and three. Then the equation will be
10x = 1/2(x + 3)
Simplify the equation, then we have
20x = x + 3
19x = 3
x = 3 / 19
The solution of the equation 20x = x + 3 will be 3 / 19. Then the correct option is A.
The missing options are given below.
A. 10x = 1/2(x + 3)
B. 10x = 1/2x
C. 10x = 1/2x + 3
D. 10x = (x + 3)
More about the Algebra link is given below.
brainly.com/question/953809
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Answer:
Stop the line of production since the sample mean (56.96) is outside the confidence interval [
= ( 56.98, 57.05 )]
Step-by-step explanation:
Given that;
95% confidence interval for these parts is 56.98 to 57.05
= ( 56.98, 57.05 )
Sample mean = 56.96
We know that;
If the sample mean is within the confidence interval then, our decision is to keep the line operating as it is inside the confidence interval.
But if the sample mean is not within the confidence interval them, our decision is to stop the line of production as it is outside the confidence interval.
Now since our mean sample (56.96) does not lie between with the 95% confidence interval = ( 56.98, 57.05 ).
Therefore, Stop the line of production since the sample mean (56.96) is outside the confidence interval [ = ( 56.98, 57.05 )]
Answer:
33
Step-by-step explanation:
Step 1: The Diagonals of the Convex Quadilateral are Mutually Perpendicular this makes the shape a Rhombus Shape
Step 2: The formula for a area of a rhombus is the multiply the two lengths and divide by two.
In this Question we have x×y÷2 or xy/2
Step 3: The sum of the lengths of the diagonals is 12
x+y=12
y=12-x
Therefore, the area, as a function of x alone = x(12-x)/2
Step 4: To find the maximum area, let's find the derivative of the area function in respect to x and then equate to 0.
d/dx(x(12-x)/2)=0
d/dx(12x - x^2) = 0
12-2x=0
12-0=2x
12=2x, divide both sides by 2
x= 6
Step 5: Calculate the Maximum Area
The maximum area will then be 6(12 - 6)/2
= (72-6)/2 = 66/2= 33
So, the maximum area is 33.
Hi there,
2/3 + w = 11/2
w = 11/2 - 2/3
Hence, W = 29/6
Hope this helps :)
