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Solved Examples

Curriculum: Georgia Performance Standards   Click to change Curriculum

Topic: Equations & Inequalities  Click to change Topic

Lesson: 10, 16: Formulas to Solve Equation  Click to change Lesson

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cc  The average of 43 non-negative integers is 32.4. Find their sum.
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cc  The perimeter of a rectangular wallpaper is 38 inches and its width is 8 inches. Find the length of the rectangular sheet of wallpaper.
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cc  A car travels at an average speed of 58 miles/hour for 300 minutes. Find the distance traveled by the car.  cc View Solution
cc  An airplane flew 1975 miles at an average speed of 395 miles/hour. How long does it take to fly the entire distance?  cc View Solution
cc  Brad left his house at 5:00 p.m. and drove directly to his aunt's house, which is 365 miles away. What was the average speed with which he drove, if he reached his aunt's house at 10:00 p.m.?  cc View Solution
cc  Find the celsius temperature that corresponds to a room temperature of 77oF by using the formula F = ( 95 ) C + 32.  cc View Solution
cc  Convert 15oC into Fahrenheit scale by using the formula, F = ( 95 ) C + 32.  cc View Solution
cc  The formula S = [n(n+1)]2 is used to find the sum of the first n natural numbers. Find the sum of the first 14 natural numbers.
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cc  The formula S = n(n+1)(2n+1)6 is used to find the sum of the squares of the first n natural numbers. Find the sum of the squares of the first 6 natural numbers.  cc View Solution
cc  The formula S = n2(n+1)2/4 is used to find the sum of the cubes of the first n natural numbers. Find the sum of the cubes of the first 12 natural numbers.
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cc  Find the area of a rectangle, if its length is 4 cm and its width is 3 cm.  cc View Solution
cc  Find the area of a square, if side of the square is 0.3 cm.
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cc  Find the perimeter of a square having side of length 2.5 cm.
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cc  A bus travels at an average speed of 59 miles/hour for 300 minutes. Find the distance traveled by the bus.
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cc  The L.C.M. and H.C.F. of two numbers are 80 and 4 respectively. If one of the numbers is 16, then find the other number.  cc View Solution
cc  The perimeter of a rectangular wallpaper is 50 inches and its width is 11 inches. Find the length of the rectangular sheet of wallpaper.
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cc  A car travels at an average speed of 57 miles/hour for 240 minutes. Find the distance traveled by the car.  cc View Solution
cc  The formula for the volume of a rectangular pyramid is V = (13) lwh. Write a formula to find the height (h) of the pyramid.
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cc  An airplane flew 1182 miles at an average speed of 394 miles/hour. How long does it take to fly the entire distance?  cc View Solution
cc  Find the area of a trapezoid, if b1 = 7 in., b2 = 9 in. and h = 4 in.
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cc  Brian left his house at 5:00 p.m. and drove directly to his aunt's house, which is 146 miles away. What was the average speed with which he drove, if he reached his aunt's house at 7:00 p.m.?  cc View Solution
cc  Find the area of the figure.  cc View Solution
cc  The average of 22 non-negative integers is 23.2. Find their sum.
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cc  Find the perimeter of the figure.
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cc  The formula F = (95) × C + 32 is used to convert temperature in Celsius (C) scale to that in Fahrenheit (F) scale. Which of the following best suits the conversion of temperature from Fahrenheit scale to Celsius scale?
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cc  Find the area of a rectangle, if its length is 7 cm and its width is 4 cm.  cc View Solution
cc  Find the celsius temperature that corresponds to a room temperature of 68oF by using the formula F = ( 95 ) C + 32.  cc View Solution
cc  Find the area of a square, if side of the square is 0.2 cm.
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cc  Find the area of a trapezoid, if b1 = 7 in., b2 = 10 in. and h = 4 in.
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cc  Convert 10oC into Fahrenheit scale by using the formula, F = ( 95 ) C + 32.  cc View Solution
cc  Total surface area of a cube is given by the formula, L = 6s2, where s is the side of the cube. Find the side of the cube, if the total surface area of the cube is known.
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cc  The formula S = [n(n+1)]2 is used to find the sum of the first n natural numbers. Find the sum of the first 8 natural numbers.
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cc  The formula S = n(n+1)(2n+1)6 is used to find the sum of the squares of the first n natural numbers. Find the sum of the squares of the first 12 natural numbers.  cc View Solution
cc  Find the base of a triangle, if area of the triangle A and height h are known.
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cc  Find the area of the square.  cc View Solution
cc  Find the perimeter of a square having side of length 3.5 cm.
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cc  The L.C.M. and H.C.F. of two numbers are 150 and 5 respectively. If one of the numbers is 25, then find the other number.  cc View Solution
cc  The table shows the perimeter and side lengths of three equilateral triangles.
Perimeter of the triangle (P cm) Length of side 1 (cm)Length of side 2 (cm) Length of side 3 (cm)
9333
12444
15555
?sss

Which formula shows the relationship between the lengths of the sides and the perimeter of the triangle?
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cc  A truck travels at an average speed of 57 miles/hour for 240 minutes. Find the distance traveled by the truck.
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cc  The formula S = n2(n+1)2/4 is used to find the sum of the cubes of the first n natural numbers. Find the sum of the cubes of the first 4 natural numbers.
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