Equations practice problems - page 55 of 211
An equation is a statement that asserts the equality of two expressions, which are connected by the equals sign =. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation.Number of problems found: 4215
- Limousine rent
Hana rented a limousine for prom. There was a one-time charge of $100 plus an hourly rate of $45. Her total cost for the night was $347.50. How many hours did Hana rent the limo for? - Run 9
Every time Colin runs, he runs 3/4 of a mile. Whenever Isabel runs, she runs 1/4 of a mile. If Colin runs two times a week, how many times must Isabel run to cover the same distance as Colin? - 6 plates
Six plates and 5 cups cost 37.50 dollars. Seven plates and 6 cups 44.10 dollars. Each plate costs the same amount as the other cup. What is the cost of 1 plate? What is the price of 1 cup? - Employees 50743
Half of the factory employees work in the first shift, a third of employees work in the second shift, and 130 employees work in the third shift. How many employees does the factory have?
- 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? - Deposit
We deposited a total of $15,000 into simple interest accounts. The annual simple interest rate on one account at 6% the annual simple interest rate on the second account at 7%. How much should be invested in each account so that the total interest earned - Trigonometric 50551
Solve the trigonometric equation: cos (x-52°) = 1 - Equation with fractions
What is the simplified form of the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n? n = -2 n = 4 n = fraction 1 over 2 - Wheel gear
A drive wheel of radius two is connected to a drive wheel of radius one by a pulley of length 17. What is the distance between the wheel axles?
- Cost and profit
Find the cost price of an article that was sold for 90.00 at a profit of 20 percent. - An online
An online retailer offers a selection of electronic books for $4 each, plus a fixed download charge of $1 for any number of books. Write an equation to represent the total cost in dollars c for b books. - 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. - Chad buys
Chad buys peanuts in 2-pound bags. He repackages them into bags that hold 5/6 pounds of peanuts. How many 2-pound bags of peanuts should Chad buy to fill the 5/6-pound bags without having any peanuts left over? - 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? - Five number code
I have a five-digit code on the bag that I forgot. I remember that it was a symmetric number and the sum of its digits was 22. Write all the numbers that can be a code. - Petra's test
The teacher will give a correct answer score of eight points, and the wrong answer will be deducted three points. The total score obtained by the school is 36 points. If Petra answered six questions correctly, how many questions were answered incorrectly - Your Mom
Your Mom can clean your entire house in 3 hours. However, your dad takes 5 hours to clean the house. How long will it take for them to clean the house if they work together? (Write the numerical answer round to the nearest thousandth) - Intersection 49623
Where is the intersection of the function y = -3x + 5 with the coordinate axes x and y? (where they are on the x-axis and y-axis)
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