Algebra EE Review ELE431L Quiz

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If Kevin's private jet flies from Los Angeles to San Francisco in 3 hours, and back in 2-7/19 hours, what is the velocity of the wind?

24 mph (correct)

25 mph

18 mph

20 mph

How much water must be added to 8 gallons of an 80% boric solution to reduce it to a 50% solution?

4 gal

4 4/5 gal

5 3/5 gal

5 gal (correct)

If the sum of three numbers in an arithmetic progression is 15, and the sum of their squares is 83, what are the three numbers?

5, 7, 9 (correct)

3, 5, 7

1, 7, 8

1, 3, 5

A besieged fortress is held by 5,700 men who have provisions for 66 days. If the garrison loses 20 men each day, for how many days can the provisions hold out?

76 days Signup and view all the answers

What is the value of $f(x + 1) - f(x)$ if $f(x) = 10^x + 1$?

$9(10^x)$ Signup and view all the answers

What are the values of $n$ if $(2n - 6)$ is greater than 1 but less than 14?

4, 5, 6, 7, 8, 9 Signup and view all the answers

What is the value of $( ext{sq. rt. of } -10) imes ( ext{sq. rt. of } -7)$?

$-(sq. rt. of 70)i$ Signup and view all the answers

If two engineers are replaced by nurses and 51% of the group becomes nurses, how many engineers and nurses initially existed?

100 Signup and view all the answers

Determine the value of $k$ so that the sum of roots of $3kx^2 + 3k^2 - 4kx = 5 - 3x$ exceeds the product of roots by 3.

-2, 1/3 Signup and view all the answers

When the polynomial $x^3 + 4x^2 - 3x + 8$ is divided by $x - 5$, what is the remainder?

45 Signup and view all the answers

What are the two arithmetic means that can be inserted between -22 and -4?

-28, -32 Signup and view all the answers

If two numbers differ by 40 and their arithmetic mean exceeds their positive geometric mean by 2, what are the numbers?

80, 120 Signup and view all the answers

At what time between 8 and 9 o’clock will the minute hand coincide with the hour hand?

8:43.6 Signup and view all the answers

At what time after 12:00 NN will the hour hand and minute hand of the clock first form an angle of 120 degrees?

12:21.818 Signup and view all the answers

If A and B can do a piece of work in 42 days, B and C in 31 days, and C and A in 20 days, how many days can all of them do the work together?

15 Signup and view all the answers

What are the two numbers if their difference is 40 and their positive geometric mean exceeds their arithmetic mean by 2?

-32, -8 Signup and view all the answers

Algebra EE Review ELE431L Quiz

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