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mike went to canalside with $40 to spend. he rented skates for $10 and paid $3 per hour to skate.what is the greatest number of hours Mike could have skated? Let h be the number of hours of skating. We have the cost function C(h): C(h) = Hourly skating rate * h + rental fee C(h) = 3h + 10 The...

A bamboo tree grew 3 inches per day. How many days will it take the tree to grow 144 inches? Choose the correct equation to represent this situation. Let the number of days be d. We have the equation: 3d = 144 To solve this equation for d, we type it in our search engine and we get: d = 48

A bus is carrying 135 passengers, which is 3/4 of the capacity of the bus. What is the capacity of the bus Let the capacity of the bus be c. We're given: 3c/4 = 135 To solve for c, we type this equation into our search engine and we get: c = 180

If your parents give you $20 per week and $1.50 per chore, how many chores would you have to do to earn a total of $33.50 that week? Let c be the number of chores. We're given the equation: 1.50c + 20 = 33.50 To solve this equation for c, we type it in our search engine and we get: c = 9

How old am I of 400 reduced by 2 times my age is 224 Let my age be a. 2 times my age: 2a 400 reduced by 2 times my age: 400 - 2a The phrase is means an equation. So we set 400 - 2a equal to 224 for our algebraic expression 400 - 2a = 224 If the problem asks you to solve for a, we type this...

Blueberries are $4.99 a pound. Diego buys b pounds of blueberries and pays $14.95. Since price * quantity = cost, we have the equation: 4.99b = 14.95 To solve for b, we type this equation into our search engine and we get: b = $3.00

For g(x) = 4-5x, determine the input for x when the output of g(x) is -6 We want to know when: 4 - 5x = 6 To solve this equation for x, we type it in our search engine and we get: x = -0.4 or -2/5

Isabel is making face mask. She spends $50 on supplies and plans on selling them for $4 per mask. How many mask does have to make in order to make a profit equal to $90? Set up the cost function C(m) where m is the number of masks: C(m) = supply cost C(m) = 50 Set up the cost function R(m)...

A secret number is added to 6. The total is multiplied by 5 to get 50. What is the secret number? Take this algebraic expression in pieces: Let the secret number be n. Added to means we add 6 to n: n + 6 The total is multiplied by 5: 5(n + 6) The phrase to get means equal to, so we set 5(n +...

your starting salary at a new company is 45000. Each year you receive a 2% raise. How long will it take you to make $80000? Let y be the number of years of compounding the 2% raise. Since 2% as a decimal is 0.02, we have the following equation for compounding the salary: 45000 * (1.02)^y =...

Sally found 73 seashells on the beach, she gave Mary some of her seashells. She has 10 left. How many did she give to Mary? Let the number of seashells Sally gave away as g. We're given: 73 - g = 10 To solve this equation for g, we type it in our search engine and we get: g = 63

Each piece of candy costs 25 cents. The cost of x pieces of candy is $2.00. Use variable x to translate the above statements into algebraic equation. Our algebraic expression is: 0.25x = 2 To solve this equation for x, we type it in our search engine and we get: x = 8

5 times a number is that number minus 3 The phrase a number means an arbitrary variable. Let's call it x. 5 times a number: 5x That number means we use the same number from above which is x That number minus 3: x - 3 The phrase is means an equation, so we set 5x equal to x - 3 5x = x - 3

In a class of 30 pupils, 18 take Social Studies and 17 take Technical Drawing, 3 take neither. How many take both Social Studies and Technical Drawing? Let students who take both be b. We have: 18 + 17 + 3 - b = 30 38 - b = 30 Using our equation solver, we get: b = 8

Bruno is 3x years old and his son is x years old now. Their combined age is 40 years. How old is Bruno Combined age means we add, so we have: 3x + x = 40 To solve this equation for x, we type it in our search engine and we get: x = 10 This means Bruno is: 3(10) = 30

A box had x pencils. Then 6 pencils were removed from the box. The box now has 54 pencils. Removed means we subtract from the total. So Our equation is: x - 6 = 54 To solve this equation for x, we type it in our search engine and we get: x = 60

An auto repair bill was $563. This includes $188 for parts and $75 for each hour of labor. Find the number of hours of labor Let the number of hours of labor be h. We have the cost function C(h): C(h) = Hourly Labor Rate * h + parts Given 188 for parts, 75 for hourly labor rate, and 563 for...

a baseball player has 9 hits in his first 60 at bats. how many consecutive hits would he need to bring his average up to 0.400? Let the amount of consecutive hits needed be h. We have: hits / at bats = Batting Average Plugging in our numbers, we get: (9 + h)/60 = 0.400 Cross multiply: 9 + h =...

Given: 3(2x − 5) = 15 Prove: x = 5 Set x = 5: 3(2(5) - 5) 3(10 - 5) 3(5) 15 So if x = 5, then: 3(2x − 5) = 15

A taxi service charges an initial fee of $3 plus $1.80 per mile. How far can you travel for $12? Given m for miles, we have the equation: 1.80m + 3 = 12 We type this equation into our search engine to solve for m and we get: m = 5