Which expression represents 10 in rational exponent form?

Quality control finds on average that 0.026% of the items from a certain factory are detective. One month, 4000 items are checke

telo118 [61]

Given that 4000 items are checked in one month, let the number of detective items be represented as y.

Quality control finds on average that 0.026% of the items in the factory are detective. This implies that

$\text{Number of }\det ective\text{ items = }\frac{\text{0.026}}{100}\times\text{Total number of items checked}$

When 4000 items are checked, we have the number of detective items to be evaluated as

$\begin{gathered} \text{Number of }\det ective\text{ items = }\frac{\text{0.026}}{100}\times\text{Total number of items checked} \\ y=\frac{0.026}{100}\times4000 \\ \Rightarrow y=1.04 \end{gathered}$

Hence, the number of detective items is 1.04.

7 0

1 year ago

Lin solved the equation 8 (x - 3) +7= 2x (4 - 17) incorrectly.

svet-max [94.6K]

Answer:

Her final answer should have been x = 1/2.

Step-by-step explanation:

Her 2 errors were that she didn't distribute the 2x to both 4 and -17 and that she made the 13 positive instead of negative when she added 4 and -17 together.

Correct solution:

8(x-3)+7=2x(4-17)

8x-24+7=8x-34x

-17=-34x

The negatives on both sides cancel each other out

x = 1/2

5 0

3 years ago

Read 2 more answers

Select the correct answer. which expression is equivalent to the given expression? assume the denominator does not equal zero. a

Alexxandr [17]

If the denominator does not equal 0, the equivalent expression of $\frac{14x^4y^6}{7x^8y^2}$ is $\frac{2y^{4}}{x^{4}}$ $\frac{x^{10} y^{14}}{729}$