Corrections+to+Thursday's+test+July+23

> > > Draw the window on top of the arch. Add 14, 20, and 14 plus one half of the circumference of the arch. > > **__//14 + 14 + 20 + (3.14 * 14/2) =//__** > > > > > **T//__here are 12 girls divided by the total students in the class. 12/30 = .4 = 40%__//** > > > > > __//**Draw the clock. Each segment is 30 degrees. The smaller angle would be 165 degrees. The larger would be 360-165= 190 degrees.**//__ > > > > > **//__Draw a square. Area of a square is side times side or side raised to the second power. 3 ft * 3 ft = 9 square feet.__//** > > > > > > a) x-1 b) x + 5 c) x + 2 d) x + 8 e) x > > **//__Sister's age = X - 3 + 5 = X + 2__//** > > > > > > $6 is regular pay > $6 * 1.5 = overtime pay = $9.00 > > **//__(8 * $6) = $48 plus an additional four hours at $9 (4* $9) = $48 + $36 = $84__//** > > > > > **//__2/3 = x/45 The smaller number is 30.__//** > > > > > > 6 * 6 * 6 = 216 > > 8 * 8 * 8 = 512 > > **//__The difference is 812 - 216 = 596__//** > > > > > **//__Area = PI * (radius) squared > > 314 = 3.14 * r squared > 100 = r squared > 10 = r > > Circumference = PI times (2) (radius) > = 3.14 * 2 * 10 > = 62.8__//** > > > > > **//__White = 5 - 3 = 2 > Black = 6 - 2 = 4 > Green = 4 -1 = 3 > > New total is 9. The probability P(B) = 4/9__//** > > > > > **//__5/6 * 1/2 = 5/12 divided by 3/8 means multiplying by 8/3 = 5/12 * 8/3 = 10/9 or 1 1/9__//** > > > > > **//__.02x = 10 > x = 500 50% of 500 = 250__//** > > > > > C**//__arefully draw the figure. 4 squared plus 4 squared = 32. C = the square root of 32.__//** > > > > > **//__Draw the factor trees. Once you obtain the prime factorization for each number, the highest exponent for each factor and multiply. Remember, you are not looking for factors that the numbers have in common.__//** > > > > > **//__9x + 5 = 23 subtract 5 from both sides of the equation and divide by 9. X = 2. > Substitute for X in the second equation 18 * 2 + 5 = 7__//** > > > > > **//__Change 140% to a decimal. 140% = 1.40. 70 * 1.4 = 98__//** > >
 * 1) An arched window is in the shape of a rectangle with a semicircle on top. If the base of the triangle is 14 inches and the height of the rectangle is 20 inches, find the perimeter of the whole window.
 * 1) There are 30 students in a class, and 18 are boys. What percentage of the class is girls?
 * 1) At 12:30 p.m. what is the **larger angle** between the minute hand and the hour hand?
 * 1) What is the area of a square rug whose side is 3 feet long?
 * 1) If Sue is x years old now and her sister is 3 years younger then 5 years from now her sister will be what age?
 * 1) 19 1/9 - 7 1/3 = 19 1/9 - 7 3/9 = 18 10/9 - 7 3/9 = 11 7/9.
 * 1) Mr. Diaz gets $6 an hour for doing 8 hours work, and 1 1/2 times that for overtime. How much does he earn if he works 12 hours?
 * 1) Two numbers are in a ratio of 2:3. If the larger number is 45, what is the smaller number?
 * 1) How much greater is the volume of a cube whose edge is 5 inches than the volume of a cube whose edge is 8 inches ?
 * 1) If the area of a circle is 314 square inches, what is the circumference of the circle?
 * 1) A jar contains 5 white marbles, 6 black marbles, and 4 green marbles. If Ann removes 3 white marbles, 2 black marbles, and 1 green marble, what is the probability that the next marble removed at random will be black?
 * 1) 5/6 * 1/2 divided by 3/8 =
 * 1) If 2% of a number is 10, then what is 50% of the same number?
 * 1) A man standing at point A walks 1 miles south, 3 miles east, 5 miles north, and 7 miles west to reach point B. What is the length of the line segment AB?
 * 1) What is the least common multiple of 20, 24, and 32 (//use factor trees to get your answer//)?
 * 1) If 9x + 5 = 23, the numerical value of 18x + 5 is ?
 * 1) What is 140% of 70?