3x - 1= 11
x = 4
Slope-Intercept form of a line.
y = mx + b
m is the slope (rate of change)
b is the y - intercept (where the line crosses the y-axis)
Jon drove an average of 250 miles per day for three days. He drove 400 miles on the first day and 125 miles on the second day. How many miles did he drive on the third day?
225 miles.
400 + 125 + 225 = 750 and 750/3 = 250
Each of the three letters "O", "N", and "G" stands for a different digit.
ON + ON + ON + ON = GO
Find the digit for each letter that makes the above equation true.
O is 2. N is 3. G is 9.
23 + 23 + 23 + 23 = 92
also: (0,5,2) and (1,0,4)
How many zeros are in the number 103.0 x 1012 when expanded?
13
103,000,000,000,000
-3x + 12 = 24
x = -4
Area of a triangle if the height is "h" and the base is "b".
A = (bh)/2 or
A = (1/2)(bh)
Captain Wayne did 17,000 sit ups in 7 hours and 27 minutes. At a rate of 40 sit-ups per minute, how many hours and minutes would it take you to tie Captain Wayne?
7 hours and 5 minutes.
You have boxes that will hold 1 cubic foot, 3 cubic feet, 9 cubic feet, and 27 cubic feet of paper. What is the fewest number of boxes you need to hold 257 cubic feet of paper?
13 boxes.
9x27 + 1x9 + 1x3 + 2x1 = 257
Round the number "pi" to the nearest millionth.
3.141593
x2 = 9
x = 3 and -3
Standard form of a parabola.
y = ax2 + bx + c
The peel of a banana weighs about 1/8 of the total weight of a banana. If you buy 7 pounds of bananas at 2 pounds for 29 cents, about how much are you paying for banana peel?
About 13 cents.
What is the number?
It is greater than 442 and less than 452. 52 is one of its factors. It is a multiple of 13.
1950
Round the number "e" to the nearest billionth.
2.718281828
2x2 + 3 = 3
x = 0
Einstein's special theory of relativity.
E = mc2
E = energy, m = mass, c = speed of light.
Which deal gives you more Pizza for your money? The pizzas are circles (round). Medium (14 inch diameter) is $4.80. Large (18 inch diameter) is $8.00.
The medium pizza. Area = (pi) x radius2
Area medium = 3.14 x 72 = 153.86 in2
153.86/4.80 = 32.05 in2 per dollar
Area large = 3.14 x 92 = 254.34 in2
254.34/8 = 31.79 in2 per dollar
What are the TWO smallest numbers that are multiples of both 2 and 3 AND have exactly six factors.
12 and 18.
Round the golden ratio to the nearest thousandth.
1.618
x2 = -1
x = i and -i
What is the square root of negative 1 called?
A tin can is 8 cm high and has a radius of 2.3 cm. A label covers the lateral surface of the can. What is the area of the label?
About 115.6 cm2.
There are 20 loops. All langs are loops. All loops are lords. There are 12 langs. There are 30 lords. How many lords are not loops or langs?
10 lords.
Add all the integers from 1 to 200.
20,100