Answer:
|x − 0.5| = 0.05
Step-by-step explanation:
Here x represents the diameter,
Since, an error of 0.05 millimeters is allowance in diameter,
Thus, the maximum acceptable diameter = x + 0.05,
And, the minimum acceptable diameter = x - 0.05
According to the question,
The holes will have a diameter of 0.5 millimeters,
Thus, x - 0.05 < 0.5 and 0.5 < x + 0.05
⇒ x - 0.5 < 0.05 and x - 0.5 > - 0.05
⇒ x - 0.5 < 0.05 and -(x -0.5) < 0.05
⇒ |x-0.5| < 0.05
⇒ Option D is correct.
ANSWER
B(0, 0),
EXPLANATION
The given points are A(−6, 2), B(0, 0), C(4, −2), D(−12, 6), E(−10, 10).
The equation of the direction variation is
The point that belongs the graph of the direct variation must satisfy the variation equation.
Note that the graph of direct variation equation passes through the origin therefore the point (0,0) satisfies it.
0=-12(0)
0=0
This is true
The other points do not satisfy this variation equation, hence they do not lie on its graph
This question is easy once you understand. So when adding, subtracting, multiplying, or dividing with whole numbers you turn it into a fraction. So 12 is going to become 12/1. 8 1/8 is a mixed number so we have to turn it into an incomplete fraction. Here is how you do it. Multiply the denominator by the who number. So 8 x 8 = 64. Then you add your product to the numerator, which will make it 65. Then after this you keep your denominator giving you 65/8. Now we have to find the common denominator by finding the LCM. So the LCM is 8. Next we divide the old denominator by the new denominator. So 1 goes into 8, 8 times. And next 8 x the numerator. so 8 x 12 = 96. We do the same to the other side. Now we have 96/8 - 65/8 = 31/8. Finally we make this a mixed number. So 31 divided by 8. So you should get 3 7/8.
I hope this helps! :)
