equation

60 percent of a number minus 17 is -65 Using our percent to decimal calculator, we see that 60% is 0.6, so we have: 0.6 The phrase a number means an arbitrary variable, let's call it x. So 60% of a number is: 0.6x Minus 17: 0.6x - 17 The word is means an equation, so we set 0.6x - 17 equal...

The bill for the repair of a car was $294. The cost of parts was $129, and labor charge was $15 per hour. How many hours did it take to repair the car? Write a sentence as your answer. Let h be the number of hours. We have: 15h + 129 = 294 To solve this equation for h, we type it in the search...

Does (6,5) make the equation y = x true x =6 and y = 5, so we have: 5 = 6 which is false. So no, it does not make the equation True.

A classroom had x students. Then 9 of them went home. There are now 27 students in the classroom. Take this one piece at a time: We start with x students 9 of them went home. This means we have 9 less students. So we subtract 9 from x: x - 9 The phrase there are now means an equation, so we...

I have saved 24 to buy a game which is three-fourth of the total cost of the game how much does the game cost ? Let the cost of the game be c. We're given: 3c/4 = 24 To solve this equation for c, we type it in our search engine and we get: c = 32

A group of campers have 250 pounds of food. They plan to eat 12 pounds a day. How many days will it take them to eat the food. Write your answer in a linear equation. Let the number of days be d. We have the following equation: 12d = 250 To solve for d, we type this equation in our search...

SuperFit Gym charges $14 per month, as well as a one-time membership fee of $25 to join. After how many months will I spend a total of $165? Let the number of months be m. We have a total spend T of: cost per month * m + one-time membership fee = T Plugging in our numbers, we get: 14m + 25 =...

A tank has 800 liters of water. 12ml of water leaks from the tank every second.how long does it take for the tank to be empty Assumptions and givens: Let the number of seconds be s. An empty tank means 0 liters of water. Leaks mean we subtract from the starting volume. We have the following...

75% of x is 25 dollars and 99 cents Since 75% is 0.75 as a decimal, we rewrite this as an algebraic expression: 0.75x = 25.99 If we want to solve for x, we type this equation into our search engine and we get: x = 34.65

Jennifer added $120 to her savings account during July. If this brought her balance to $700, how much has she saved previously? We have a starting balance s. We're given: s + 120 = 700 To solve this equation for s, we type it in our search engine and we get: s = 580

Mr. Demerath has a large collection of Hawaiian shirts. He currently has 42 Hawaiian shirts. He gets 2 more every month. After how many months will Mr. Demerath have at least 65 Hawaiian shirts? We set up the function H(m) where m is the number of months that goes by. Mr. Demerath's shirts are...

A hot air balloon at 1120 feet descends at a rate of 80 feet per minute. Let y represent the height and let x represent the number of minutes the balloon descends. Descending means we subtract height, so we have: y = 1120 - 80x

Arizona became a state in 1912. This was 5 years after Oklahoma became a state. Which equation can be used to find the year Oklahoma became a state? In what year did Oklahoma become a state? Let o be the year Oklahoma became a state: o = 1912 - 5 o = 1907

Bob finished reading his book in x days. Each day, he read 4 pages. His book has 28 pages Our equation for this is found by multiplying pages per day times number of days; 4x = 28 To solve for x, we type the equation into our search engine and we get: x = 7

A school dance had 675 cookies each student took 3 cookies and there were 15 cookies leftover how many students attended the dance Let each student be s. We have: 3s + 15 = 675 To solve this equation for s, we type it in our search engine and we get: s = 220

Steven has some money. If he spends $9, then he will have 3/5 of the amount he started with. Let the amount Steven started with be s. We're given: s - 9 = 3s/5 Multiply each side through by 5 to eliminate the fraction: 5(s - 9) = 5(3s/5) Cancel the 5's on the right side and we get: 5s - 45 =...

64 is 4 times the difference between Sarah’s age a, and 44.Assume Sarah is older than 44 Difference between Sarah's age (a) and 44 (Assuming Sarah is older than 44): a - 44 4 times the difference: 4(a - 44) The word is means equal to, so we set 4(a - 44) equal to 64 to get our algebraic...

If QR = 16, RS = 4x − 17, and QS = x + 20, what is RS? From the segment addition rule, we have: QR + RS = QS Plugging our values in for each of these segments, we get: 16 + 4x - 17 = x + 20 To solve this equation for x, we type it in our search engine and we get: x = 7 Take x = 7 and...

A set of data has a range of 30. The least value in the set of data is 22. What is the greatest value in the set of data? High Value - Low Value = Range Let the high value be h. We're given: h - 22 = 30 We type this equation into our search engine and we get: h = 52

If 11 times a number is added to twice the number, the result is 104 Let the number be an arbitrary variable we call x. 11 times a number: 11x Twice the number (means we multiply x by 2): 2x The phrase is added to means we add 2x to 11x: 11x + 2x Simplify by grouping like terms: (11 + 2)x =...