Alonso can't decide which size pizza to order.
The 10-inch cheese and sausage pizza is $5.99, while the 12-inch deluxe is $6.99.
If he gets the 10-inch pizza, the total price will be divided among 3 people.
If he chooses the 12-inch pizza, then the total price will be divided among 4 people.
Which is the better buy?
How much will each person pay? (Use 3.14 for π.)
A)
10-inch pizza; $1.75
B)
12-inch pizza; $2.00
C)
12-inch pizza; $1.75
D)
10-inch pizza; $2.00
To determine which pizza is the better buy, we need to calculate the cost per inch for each pizza.
For the 10-inch pizza, the cost per inch is $5.99 ÷ 10 = $0.599 per inch.
For the 12-inch pizza, the cost per inch is $6.99 ÷ 12 = $0.5825 per inch.
Therefore, the 12-inch pizza is the better buy as it has a lower cost per inch.
If Alonso chooses the 10-inch pizza, the total price of $5.99 will be divided among 3 people, so each person will pay $5.99 ÷ 3 = $1.9967, rounded to $2.00. This corresponds to option D.
If Alonso chooses the 12-inch pizza, the total price of $6.99 will be divided among 4 people, so each person will pay $6.99 ÷ 4 = $1.7475, rounded to $1.75. This corresponds to option C.
Therefore, the correct answer is:
C) Each person will pay $1.75 if Alonso chooses the 12-inch pizza.
Find the range for the set of data given.
table ( (0.229 0.117 0.468 0.373 0.605 0.34) )
Question 7 options:
A)
0.468
B)
0.488
C)
0.117
D)
0.111
To find the range of a set of data, you subtract the smallest value from the largest value. In this case, the smallest value in the set is 0.117 and the largest value is 0.605.
Range = Largest value - Smallest value = 0.605 - 0.117 = 0.488
Therefore, the correct answer is:
B) 0.488
Solve the problem.
To convert a Fahrenheit temperature to Celsius, one formula to use is F = (9/5)C + 32, where F is the Fahrenheit temperature (in degrees) and C is the Celsius temperature.
What is the Celsius temperature (to the nearest degree) when Fahrenheit temperature is 77°?
To find the Celsius temperature when the Fahrenheit temperature is 77°, we can rearrange the formula F = (9/5)C + 32 and solve for C.
Substituting F = 77° into the formula, we have:
77 = (9/5)C + 32
To isolate C, we need to first subtract 32 from both sides of the equation:
77 - 32 = (9/5)C
45 = (9/5)C
To solve for C, we can multiply both sides of the equation by (5/9):
(5/9) * 45 = (9/5)C * (5/9)
25 = C
Therefore, the Celsius temperature when the Fahrenheit temperature is 77° is 25°, rounded to the nearest degree.
Solve the problem.
A 38-foot ladder is leaning against the side of a building.
If the ladder makes an angle of 20° 44' with the side of the building, how far is the bottom of the ladder from the base of the building?
Round your answer to the hundredths place.
Question 8 options:
A)
13.45 ft
B)
14.75 ft
C)
19.15 ft
D)
4.08 ft
To find the distance from the base of the building to the bottom of the ladder, we can use trigonometry.
The given angle of 20° 44' can be converted to decimal degrees by dividing the minutes (44) by 60 and adding it to the degrees (20) as follows:
20 + 44/60 = 20.7333 degrees
Now, we can use the sine function to find the distance.
sin(angle) = opposite/hypotenuse
In this case, the opposite side is the distance from the base of the building to the bottom of the ladder, and the hypotenuse is the length of the ladder.
sin(20.7333) = x/38
To isolate x, we can multiply both sides of the equation by 38:
38 * sin(20.7333) = x
x ≈ 13.45 ft
Therefore, to the nearest hundredth, the distance from the base of the building to the bottom of the ladder is approximately:
A) 13.45 ft
Find the area of the shaded region in the figure.
Round results to the nearest unit.
Use π = 3.14.
36 in. 12 in. 18 in.
Question 9 options:
A)
103 in.2
B)
319 in.2
C)
267 in.2
D)
211 in.2
To find the area of the shaded region in the figure, we need to subtract the area of the smaller rectangle from the area of the larger rectangle.
The larger rectangle has dimensions 36 in. by 18 in., so its area is:
Area of larger rectangle = 36 in. * 18 in. = 648 in²
The smaller rectangle has dimensions 12 in. by 18 in., so its area is:
Area of smaller rectangle = 12 in. * 18 in. = 216 in²
To find the area of the shaded region, we subtract the area of the smaller rectangle from the area of the larger rectangle:
Area of shaded region = Area of larger rectangle - Area of smaller rectangle
Area of shaded region = 648 in² - 216 in² = 432 in²
Therefore, the area of the shaded region is:
D) 432 in²