Nationwide, in one year there were about 21,500 residential fires associated with furniture. Of these, 11,350 were caused by smoking materials. About what percent of the residential fires were smoking related?
Answer(s): E
Division is used to arrive at a decimal, which can then be rounded to the nearest hundredth and converted to a percentage: 11,350 divided by 21,500 = 0.5279.0.5279 rounded to the nearest hundredth is 0.53, or 53%.
Jerry was 1/3 as young as his grandfather 15 years ago. If the sum of their ages is 110, how old is Jerry’s grandfather?
Answer(s): B
This uses two algebraic equations to solve for the age. Jerry (J) and his grandfather (G) have a sum of ages of 110 years. Therefore, J + G = 110. Jerry was one- third as young as his grandfather 15 years ago. Therefore, J 15 = 1/3 (G 15). Solve the first equation for J: J = 110-G. Now substitute this value of J into the second equation: 110 G 15 = 1/3 (G 15). Solve for G: 95 G = 1/3 G 5; 100 = 4/3 G; G = 75.
Solve for x in the following equation: 1/3 x + 3 = 8.
1/3 x + 3 = 8. In order to solve the equation, all numbers need to be on one side and all x values on the other. Therefore, 1/3 x = 5; x = 15.
Use the diagram below to answer the question.What is the perimeter of the figure shown above?
Answer(s): C
In order to find the perimeter, the hypotenuse of the triangle must be found. This comes from recognizing that the triangle is a 5-12-13 triangle, or by using thePythagorean theorem. 5 + 12 + 13 = 30.
Use the diagram below to answer the question.In the diagram above, if angle 1 is 30 degrees, and angle 2 is a right angle, what is the measure of angle 5?
If angle 1 is 30 degrees, angle 3 must be 60 degrees by right triangle geometry. Because the two lines are parallel, angles 3 and 4 must be congruent. Therefore, to find angle 5, angle 4 must be subtracted from 180 degrees. This is 120 degrees.
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