Isolating a variable in the formula - math word problems - page 42 of 144
Number of problems found: 2878
- The two
The two angles of a triangle are 78° and 82°. So, what is the measure of the remaining third angle? - Two numbers and its product
The product of two numbers is 2/3. If one of them is 1/10, what is the other? - Consider 2
Consider the following formula: y = 3 ( x + 5 ) ( x - 2 ). Which of the following formulas is equivalent to this one? A. Y=3x²+9x-30 B. Y=x²+3x-10 C. Y=3x²+3x-10 D. Y=3x²+3x-30. - Profit, revenue, cost
Profit, P(x), is the difference between revenue, R(x), and cost, C(x), so P(x) = R(x) - C(x). Which expression represents P(x), if R(x) = 3x3 + 2x - 1 and C(x) = x4 - x2 + 2x + 3? - Michael 2
Michael has a 35-foot ladder leaning against the side of his house. If the bottom of the ladder is 21 feet away from his house, how many feet above the ground does the ladder touch the house? - Expression money per time
You started this year with $196 saved, and you continue to save an additional $19 per month. Write an algebraic expression to represent the total amount of money saved after m months. - A cook
A cook wants to make enough cookies for 159 students. The cookie recipe makes 1 1/4 dozen cookies. A dozen equals 12. How many batches must the cook make if each student gets one cookie? - Hundredths 50681
The product of two unknown numbers is two hundredths. The first number is 1.25 times larger than the second number. Specify both numbers. - Louis
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 5,120 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement? - A dumpster
A dumpster is shaped like a rectangular prism. It is 8 feet wide, 5 feet high, and has a volume of 880 cubic feet. What is the length of the dumpster? - The floor
The floor collapsed because three and a half times the amount it had been designed to hold had been stored in the room. What amount was the floor designed to hold if we had stored 980 tons in the room? - Fraction unknowns
Divide fractions with unknowns: Fraction 1: The quantity x squared plus 6 times x plus 9 over the quantity x minus 1. Fraction 2: the quantity x squared minus 9 over the quantity x squared minus 2 times x plus 1. Find Fraction 1 over Fraction 2. - Car rent 2
The cost (c), in dollars, charged by a car rental agency is calculated using the equation c = 12 +0.29m, where m represents the distance traveled in miles. Calculate the distance traveled for the cost of $56. 37. - Cheese consumption
I have some cheese. I used 2/5 of the total amount of cheese yesterday. Today, I used 2/5 of the remaining cheese from yesterday. If 900 g of cheese remains at the end of today, how many grams of cheese did I have initially? - The temperature 13
The temperature in Toronto at noon during a winter day measured 4°C. The temperature started dropping 2° every hour. Which inequality can be used to find the number of hours, x, after which the temperature will measure below -3°C? - The length 4
The length of a rectangular room measures twice a number x increased by 5. The width measures a number x increased by 3. What is the perimeter of the room? - The temperature 12
The temperature of a liquid was 25°C before being warmed at a rate of 10°C per minute for 5 minutes. It was then cooled at 3.5°C per minute for 6 minutes. What was the temperature of the liquid after cooling? - Centre of the hypotenuse
The interior angles of the triangle ABC, alpha, beta, and gamma are in a ratio of 1:2:3. The longest side of the AB triangle is 30 cm long. Calculate the perimeter of the triangle CBS if S is the center of the side AB. - Base side
In a quadrilateral prism, are known surface area S = 12400 mm2, base side m = 40mm, and prism height = 120mm. What is the length of base side n =? - Parallelogram diagonals
Find the area of a parallelogram if the diagonals u1 = 15 cm and u2 = 12 cm and the angle formed by them is 30 degrees.
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