Explanation:
Level 2
Part 1: √250 would be simplified to 5√10, because you need to find two factors that equal 250. 25 multiplied by 10 are two factors that you can utilize. Because 25 is a perfect square, it could be reduced to 5. Because 10 isn't a perfect square, you leave it as a radical.
Part 2: √250 is an irrational number because it's a non-terminating decimal and you cannot convert it into a fraction, so it wouldn't be rational.
Level 3
Part 1: √150x^5 would be simplified to 5x^2√6x. Again, find two factors that equal the product, 150. 25 multiplied by 6 are two factors that are useable. Just like the first question, 25 is a perfect square, so it can be reduced to 5. 6 is not a perfect square, so you would leave as a radical. Now, moving onto x^5. You can factor out x^4, because it's a perfect square. x^4 can become x^2. Move x^2 next to 5 and x would be left in the radical with 6.
Part 2: It's rational because 2√4 is simply just 2 x 2 because √4 is a perfect square. 4+7=11. 11 can be converted into a fraction, so it wouldn't be irrational.
Level 4
Part 1: 13√750x*5 y*8 would be simplified to 65x^2y^4√30x. Find two factors that equal 750, which are 25 and 30. You know the drill, 25 is reduced to 5 and 30 stays as a radical. Multiply 13 and 5 to get 65. Factor out x^4 out of x^5 to get x^2. x^8 is a perfect square that can be reduced to x^4.
Part 2: Two unique expressions are 4√16+3 and 5√8 x 34. √16 is a perfect square, so it can become 4. 4 x 4 is 16 and 16 + 3 = 19. 19 is a rational number. 5√8 is irrational, so right off the bat, you'll know it's an irrational expression.
Suppose that one worker can produce 15 cookies, two workers can produce 35 cookies together, and three workers can produce 60 cookies together. What is the marginal product of the 3rd worker? Select one: a. 20 cookies b. 25 cookies c. 60 cookies d. 35 cookies
Answer:
23/3
Step-by-step explanation:
Convert the mixed number 723 7 2 3 into an improper fraction first by multiplying the denominator (3) by the whole number part (7) and add the numerator (2) to get the new numerator. Place the new numerator (23) over the old denominator (3) .
Let's assume
number of small notebooks =x
number of large notebooks =y
we are given
total number of notebooks =31
so, we get
now, we can solve for y
we have
Small notebooks cost $3.50 and large notebooks cost $5.00
she has $134 to spend
so, we get
now, we can plug y
now, we can find y
so,
number of small notebooks is 14
number of large notebooks is 17.............Answer
