Given the area of the three squares, find the perimeter of ΔABC.
Answer(s): A
The length of one side of a square is equal to the square root of the area of the square. Since the area of the squares is 9, 16, and 25, the lengths of the sides of the squares are 3, 4, and 5, respectively. The triangle is formed by the sides of the three squares; therefore, the perimeter, or distance around the triangle, is 3 + 4 + 5= 12.
During a sale, the price of a pair of shoes is marked down 10% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
Answer(s): C
Suppose that the shoes cost $10. $10 – 10% = 10 – 1 = $9. When the shoes are marked back up, 10% of $9 is only 90 cents. Therefore, the markup must be greater than 10%. $1/$9 = 11 1/9 %, or about 11%.
How many degrees is the smaller angle?
Answer(s): B
Note that the figure is not drawn to scale, so do not rely on the diagram to calculate the answer. Since the angles are adjacent and formed by two intersecting lines, they are also supplementary. Combine the two angles and set the sum equal to 180.2x + 3x – 40 = 180. Combine like terms and add 40 to both sides. 5x – 40 + 40 = 180 + 40. 5x = 220. Divide both sides by 5 to get x = 44. Then 2x = 88 and 3x – 40 = 92. The smaller angle is 88.
If the average (arithmetic mean) of x, x + 2, and x + 4 is 33, what is the value of x?
x, x + 2, and x + 4 are each two numbers apart. This would make x + 2 the average of the three numbers. If x + 2 = 33, then x = 31.
If it costs d dollars to make the first 100 copies of a poster and e dollars for each poster after that, what is the total cost of 125 posters?
Answer(s): D
It costs d for the first 100 posters plus the cost of 25 additional posters. This translates to d + 25e, since e is the cost of each poster over the initial 100.
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question 232 answer should be perimeter not netowrk layer. wrong answer selected
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#229 in incorrect - all the customers require an annual review