A hyena can run one over four of a mile in 22.5 seconds. At this rate, which equation can be used to determine how fast a hyena runs in miles per hour? (5 points)
one-fourth mile over twenty-two point five seconds = 40 miles per hour
twenty-two point five seconds over one-fourth mile = 40 miles per hour
one-fourth mile over twenty-two point five seconds = 90 miles per hour
twenty-two point five seconds over one-fourth mile = 90 miles per hour
The correct equation would be:
(1/4 mile) / (22.5 seconds) = x miles per hour
The youth group is going on a trip to the state fair. The trip costs $64. Included in that price is $12 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.
Let's assume the cost of one pass is represented by "x".
The total cost of the trip is $64, which includes $12 for the concert ticket and the cost of two passes.
So, the equation representing the cost of the trip can be written as:
12 + 2x = 64
To determine the price of one pass, we need to isolate the "x" term.
Subtracting 12 from both sides of the equation:
2x = 64 - 12
2x = 52
Dividing both sides of the equation by 2:
x = 52/2
x = 26
Therefore, the price of one pass is $26.
Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack. If crackers cost $0.50 per package including tax, what inequality would show the maximum number of packages that Fiona can buy? Solve your inequality by showing your work and steps.
Let's assume the maximum number of packages of crackers Fiona can buy is represented by "x".
The cost of each package of crackers, including tax, is $0.50.
So, the total cost of x packages of crackers would be 0.50x.
Fiona needs to save $9.75, which means she can spend a maximum of $18 - $9.75 = $8.25 on buying crackers.
Therefore, the inequality representing the maximum number of packages Fiona can buy would be:
0.50x ≤ 8.25
To solve for x, we divide both sides of the inequality by 0.50:
x ≤ 8.25 / 0.50
x ≤ 16.5
Hence, the maximum number of packages Fiona can buy is 16.
Which expression is equivalent to 12a + 8?
The expression equivalent to 12a + 8 is 8 + 12a.
Which expression is equivalent to 12a + 8? (5 points)
4(3a + 2)
4(3a + 8)
6(6a + 2)
6(6a + 8)