Matematik Forum |Matematik,Geometri,Matematik Ders Notları

Question 1.

2/3 (5 - c) = -2, find c.

Solution 1.

To find c, you need to move all the values to the right side of the equation and leave c by itself at the left side of the equation.

2/3 (5 - c) = -2
2(5 - c) = -2 * 3 = -6
(5 - c) = -6/2 = -3
-c = -3 - 5= -8
So the answer for c is 8.

Question 2.

In 1992, the birthrate in the U.S. was 16.2 babies per thousand people. That year the population was about 252,000,000. Use this product:
16.2 Babies * 252,000,000 people
-----------
1,000 people
to determine how many babies were born in 1992.

Solution 2.

16.2/1,000 * 252,000,000
= 4,082,400,000/1,000
= 4,082,400

Question 3.

In 1994, Al Unser, Jr. won the Indianapolis 500 with an average speed of 160.872 mph. At this average speed, how long would it take him to go around the 2-1/2 mile track?

Solution 3.

The formula for this questions is Speed = Distance/Time
160.872 mph = 2.5 mile/Time
Time = 2.5/160.872
= 0.0155 hr

Question 4.

Forty percent of the reds added to 60 percent of the greens numbered 56. If the ratio of the number of reds to the number of greens was 1 to 4, how many were red and how many were green.

Solution 4.

From the problem, we have two unknowns, red® and green(G). Also, from the information we get from the problem, we can write out two equations.
Forty percent of the reds added to 60 percent of the greens numbered 56.
==> 0.4R + 0.6G = 56 ---(1)

The ratio of the number of reds to the number of greens was 1 to 4.
==> R/G = 1/4 ==> 4R = G ---(2)

replace G with 4R into equation (1),
0.4R + 0.6(4R) = 56
0.28R = 56
R = 20

Plug in the value R into equation (2),
4 * 20 = G
G = 80

Question 5.
In the coordinate plane, if a >0, b >0 and c >0, then the line ax + by + c = 0 does not pass through which quadrant?

Solution 5.

Question 6.
Submitted on 10/10/99

Given (x+2)2 = 45, solve x.

Question 7.

If y= 3x + 5 and w = x + 17, for what value of X is 5w = 2y ?

Solution 7.

Question 8.

3m^2/3-14m^1/3+8=0, find m.

Solution 8.

Question 9.

What is the minimum possible distance between a point on the graph of x^2+y^2=1 and a point on the graph of xy=1?

Solution 9.

Question 10.

Solve x, y, z, and w.
x+y+z+w=0
2x+3y-z+w=7
3x+2y-3z+2w=9
4x-y-z-w=-5

Solution 10.

Question 11.

A Boeing 747 superjet left Los Angeles and flew with the wind for four hours, landing at Washington D.C. 2400 miles away. Later it returned to Los Angeles in five hours over the same route and against the same wind. What was the cruising speed of the jet and what was the wind speed?
Solution 11.

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