1. When practical, use a variable for the value that the problem wants you to find (so you won't forget to solve for it at the end): Let x = the total capacity of the diesel tank 2. Translate" "12 gallons ... are added to tank ....

1. When practical, use a variable for the value that the problem wants you to find (so you won't forget to solve for it at the end): Let x = the total capacity of the diesel tank 2. Translate" "12 gallons ... are added to tank ....

First, consider the definition of profit: Profit = Income - Outgo Also,(dollars per candy cane) * (number of candy canes) = dollars [number of candy canes cancels out] Let x = number of candy canes bought...

y is to 20 as 9 is to 5 (answer)

A proportion is two equal ratios. "y is to 20 as 9 is to 5" written as ratios, this is: y : 20 :: 9 : 5 written as fractions, this is: y/20 = 9/5 y = 36 ...

how do you wok this x+4=-x-4 (answer)

x+4=-x-4 2x + 4 = -4 [add x to both sides] 2x = -8 [subtract 4 from both sides] x = -4 Check: Is (-4)...

inverse of triangular dot problem? (answer)

Gauss' famous formula for the Sum of the Numbers from 1 to n is: Sum = n(n+1)/2 Now, if you know the sum, for example, 1953, this is: 1953 = n(n+1)/2 3906 = n2 + n ...

The perimeter of a rectangular garden is 306 feet. If the width is 59 feet, what is the length? (answer)

P = 2W + 2L [that is, P=W+L+W+L] Given P=306 and W=59 306 = 2(59) + 2L 306 = 118 + 2L 188 = 2L L = 94 feet Check: ...

It is very important to consider units: (number of movies) = (number of movies per month) * (number of months) ** This is because months cancel out. (number of movies) = (number of movies per month) * (number...

Writing equations (answer)

Let x = the what Translate: "9 divided by what equals 16" 9 / x = 16 9 = 16x ...

(Car to Car) OR (Car to Truck) 0.65 + 0.17 0.82 Also, probability of 1 means certainty, so: (Car to Car) + (Car tp Truck) + (Truck to...

Area = width * length 450 sq ft = 6 ft * x ft 450/6 ft = x ft 75 ft = x ft It is 75 feet long Check: ...

4-bit word as input function f --------------------- ----------- 0 0 0 0 1 ...

Planet Earth spins (rotates) like a toy top on its axis (the line through the North Pole and the South Pole) each 24 hours (approximately). The part of the Earth that faces our Sun has daylight; the part of Earth facing away from the Sun has darkness. There is a nice picture...

Algebra: Integer task (answer)

"three consecutive integers" Let them be x, (x+1), and (x+2). "the difference between three times the largest and two times the smallest integer is 30" means ...

-2x + 6y = -8 [eq1] cx + 3y = -4 [eq2] Now, you may (one time only, PLZ) convert the Standard Form (Ax+By=C) of an equation to the slope-intercept (y=mx+b) form and remember that the slope, m, is (-A/B). The...

PLZ carefully note that Theoretical Probability and Experimental Probability are very different. The problem states, "An experiment consists of tossing," and "Use the following events." This means that Theoretical Probability is not being used; Experimental...

The numbers written: 51, 53, 55, 57, 59, . . . 97, 99 [5*5=25 numbers; 50 digits] 101, 103, 105, . . . 997, 999 ...

"18,000 feet in 30 minutes" (18000 feet) per (30 minutes) (18000 feet) / (30 minutes) 18000/30 feet/minute 600 feet/minute 600 feet per minute

5x - 3y = 2 This is the equation of a line (infinite number of points) in Standard Form (Ax+By=C). Often, it is easy to find the points that are the intercepts: y-intercept (the place where x=0) so, set x=0 and solve for y ...

Speed, or rate, has units of (distance)/(time). In this problem, you could measure this in miles/hour. So, distance = 5 miles time = 8:10 - 7:40 = 30 minutes = (1/2 hour) Speed = (5 minutes) / (1/2 hour) ...

Revised: "A new sidewalk will be 6 feet wide, 120 feet long, and filled to a depth of 3 inches (0.25 foot) with concrete. How many cubic yards of concrete are needed?" That is: (6 ft) * (120 ft) * (0.25 ft) (6 ft)*( (1 yd)/(3 ft)...