Set up a ratio: 80⁄26 = 100⁄x. 100 = the number of miles he will drive in 5 days (5 × 10 × 2) to get to and from work. Cross multiply and divide. x = 32.5 Round this to the nearest whole number and get 33 liters.
A square will have an exponent of 2. A perfect square is a number gotten by squaring a whole number such as 3^2=9. A square root, on the other hand, is the inverse of squaring any number.
72 - 53 = 19 and 19 ÷ 72 = 0.26 Move the decimal point 2 places to the right to get the percent equivalent to the decimal: 26%
(45.2)(4) = (5)x Solve for x
Total sales were $694. $694 ÷ 2776 = $0.25
Isolate the variable. 2q = 12 – 40 Now subtract 40 from 12 to get -28 Remember when you are adding or subtracting 2 numbers and each has a different sign, subtract and take the sign of the larger number. Now you have the equation, 2q = -28 Divide both sides of the equation by 2 and you will get q = -14
The correct answer is -2. Take the square roots of both sides to get x – 5 = 7 or x – 5 = – 7, and solve for x to get x = 12 or x = -2. Remember that quadratics (squared terms) have two possible answers.
The correct answer is 50. Sue's travels are two legs a and b of a right triangle, so the shortest distance back is given by the hypotenuse c, calculated using a2 +b2 = c2.
Isolate the variable on one side of the = sign. -16 -68 = 4p –p⁄6 Now simplify the math. -84 = 4p - p⁄6 To get rid of the 6 in the denominator, multiply both sides of the equation by 6. -504 = 24p - p Simplify the variables side of the equation -504 + 23 p Divide both sides of the equation by 23. -21.9 = p
0.14 = 14⁄100 Simplify by dividing 2 into the numerator and the denominator to get 7⁄50
Isolate the variable and solve for h. 12h = 240
