Answer:
At the same rate 18 carburetors out of 1,050 could be expected to be detective.
Step-by-step explanation:
The number of carburetors tested = 175
Defective pieces out o f 175 = 3
So, ratio of defected to tested = 3 : 175
Now, the number of carburetors tested in second batch = 1,050
Here, let the defective pieces = m
So, by the Ratio of Proportion,
or, 
⇒ m = 18
Hence, at the same rate 18 carburetors out of 1,050 could be expected to be detective.
Answer:
540x+680y<=20000
Step-by-step explanation:
x will be the number of laptops. Since they are $540 each, 540x is the amount spent on laptops, depending on how many (x) are purchased.
y will be the number if desktops. Since they are $680 each, 680y is the amount spent on desktops, depending on how many (y) are purchased.
Adding all the money spent on laptops and desktops, we get
540x + 680y. This amount must be less than the $20000. It can be exactly $20000 also. But it cannot be more than $20000.
540x+680y<=20000
Answer: (3x + 11y)^2
Demonstration:
The polynomial is a perfect square trinomial, because:
1) √ [9x^2] = 3x
2) √121y^2] = 11y
3) 66xy = 2 *(3x)(11y)
Then it is factored as a square binomial, being the factored expression:
[ 3x + 11y]^2
Now you can verify working backwar, i.e expanding the parenthesis.
Remember that the expansion of a square binomial is:
- square of the first term => (3x)^2 = 9x^2
- double product of first term times second term =>2 (3x)(11y) = 66xy
- square of the second term => (11y)^2 = 121y^2
=> [3x + 11y]^2 = 9x^2 + 66xy + 121y^2, which is the original polynomial.
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