Answer:
The answer to your question is 0 < x ≤ 3/14
Step-by-step explanation:
Here are the steps to solve it.
First, you need to solve your inequality step-by-step:
3/x −2 ≥ 12
-2x + 3/x = ≥12
Next, find the critical points of the inequality:
2x + 3/x = 12
−2x + 3 = 12x (Multiply both sides by x)
−2x + 3 − 12x = 12x − 12x (Subtract 12x from both sides)
−14x + 3 = 0
−14x + 3 − 3 = 0 − 3 (Subtract 3 from both sides)
−14x = −3
-14x/ -14 = -3/ -14 (Divide both sides by -14)
So, that gives you your answer:
x = 3/14
Answer:
He did 9 times 10 instead of 9 times 100.
The width is half the length, so is
width = (1/2)*length
width = (1/2)*(<span>3.2a + 0.18b) cm
width = (1.6a +0.09b) cm
The perimeter of the rectangle is twice the sum of length and width.
perimeter = 2*(length + width)
perimeter = 2*((3.2a +0.18b) cm + (1.6a +0.09b) cm)
perimeter = 2*(4.8a +0.27b) cm)
perimeter = (9.6a +0.54b) cm
Sasha did not get this answer, so apparently ...
her reasoning was not correct.</span>
Conversion.
1 yard = 3 feet
So the fabric has 2 yards. Then the size of the patch is 1/4 foot.
So the number of patches that Marcus used is..
= 3 * 2
= 6 / (1/4)
= 24 patches.
So a total of 24 patches Marcus used.
<span>The number of ways to permute three correct answers among five questions is 5Choose3 which is 5!/(3!*2!) which equals 10.
We must then have the correct answer three times which happens .25 of the time, and two wrong answers 75 of the time.
So the probability is 10*0.25^3*.75^2 which is 0.087890625 or roughly an 8.8% chance.</span>
