Orion buys 3 books for a total of $25.50. He pays $8 plus sales tax for each book. He wants to know how much sales tax is for each book. Write an equation that represents the situation.
Let x be the sales tax for each book in dollars.
Then the cost of each book without tax is $8 - x.
Orion bought 3 books, so the total cost without tax is 3($8 - x) = $24 - 3x.
The total cost with tax is $25.50, so we can write:
3($8 - x) + 3x = $25.50.
Simplifying this equation, we get:
24 - 3x + 3x = 25.50
Solving for x, we get:
x = $0.50
Therefore, the sales tax for each book is $0.50.
Orion buys 3 books for a total of $25.50. He pays $8 plus sales tax for each book. He wants to know how much sales tax is for each book. Write an equation that represents the situation with only using each number and variable ONCE.
Let x be the sales tax for each book in dollars, and y be the cost of each book including sales tax.
Then we can write:
3y = $25.50 (Orion buys 3 books for a total of $25.50)
y = $8 + x (Orion pays $8 plus sales tax for each book)
Substituting the second equation into the first equation, we get:
3($8 + x) = $25.50
Simplifying this equation, we get:
24 + 3x = 25.50
Solving for x, we get:
x = $0.50
Therefore, the sales tax for each book is $0.50.
The shortest side of a triangle is 's' centimeters long. The longest side is 8 cm longer than the shortest side. The third side is 12 cm long. The perimeter is 38 cm. Find the length of the shortest side.
Which equation represents the problem?
A.) s + s + 8 + 12 = 38
B.) s + 8 + 12 = 38
C.) s - 8 + 12 = 38
D.) s + s - 8 + 12 = 38
The correct equation for the problem is:
A.) s + s + 8 + 12 = 38
The shortest side of a triangle is 's' centimeters long. The longest side is 8 cm longer than the shortest side. The third side is 12 cm long. The perimeter is 38 cm. Find the length of the shortest side.
We can start by using the given information to write an equation that represents the problem. Since the perimeter of a triangle is the sum of its side lengths, we have:
s + (s+8) + 12 = 38
Simplifying this equation, we get:
2s + 20 = 38
Subtracting 20 from both sides, we get:
2s = 18
Dividing by 2, we get:
s = 9
Therefore, the length of the shortest side of the triangle is 9 cm.
Three sides of a quadrilateral are the same length, 'q'. The length of the forth side is 7 inches. The perimeter of the quadrilateral is 40 inches. Write an equation for the situation, and use all numbers and variables only ONCE.
The perimeter of a quadrilateral is the sum of the lengths of its sides. We know that three sides of the quadrilateral have a length of 'q' inches, and the fourth side has a length of 7 inches. Therefore, we can write:
3q + 7 = 40
This equation represents the situation, and uses all numbers and variables only once.