Answers:
- Pizza Uno = $5.25
- Pizza Duo = $5.60
Those are the costs for a whole small pizza.
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Explanation:
Let
- x = cost of whole small pizza from Pizza Uno
- y = cost of whole small pizza from Pizza Duo
x and y are some dollar amount, so they cannot be negative numbers. It also doesn't make sense to have them be 0 either. So we'll make them positive.
2/3 of x is equal to 3.50 as the first sentence mentions. This forms the equation (2/3)*x = 3.50
Multiply both sides by the reciprocal of 2/3 to isolate x
(2/3)*x = 3.50
(3/2)*(2/3)*x = (3/2)*3.50
x = 5.25
Pizza Uno charges $5.25 for a whole small pizza.
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Pizza Duo charges $4.20 for 3/4 of a small pizza, meaning the equation we need to solve is
(3/4)y = 4.20
We'll use the same idea as the last equation to get...
(3/4)y = 4.20
(4/3)*(3/4)y = (4/3)*4.20
y = 5.60
Pizza Duo charges $5.60 for a whole small pizza.
Pizza Uno is the better deal (assuming both pizzas taste the same or you don't have a preference for either). You would save $5.60 - $5.25 = $0.35 = 35 cents.
Answer:
Part A:
-Minimum: 10
-Q1: 17.5
-Median: 30
-Q3: 42.5
-Maximum: 50
Step-by-step explanation:
Part B: IQR= 25
This shows that the data varies for 25 different numbers. That HALF of the data is between 25 numbers.
Part C: Using a box-and-whisker plot you can interpret the different values. Minimum is the first dot (10), connected to the first line (Q1 which is 17.5), connected by a box to the median (30), connected by a box to the third line (Q3 which is 42.5), connected to the last dot which is the maximum (50). And IQR is Q3-Q1, so 42.5-17.5 which is 25.
If a function has roots -1 and -5, it must be in the form
We can fix the coefficient a by imposing the passing through (0,-30):
So, the function is
Set up a ratio:
You drove 72 minutes and 100 km = 72/100
You want the number of minutes (x) to drive 150 km = x/150
Set the ratios to equal each other and solve for x:
72/100 = x/150
Cross multiply:
(72 * 150) = 100 * x)
Simplify:
10,800/100x
Divide both sides by 100:
x = 10800/100 = 108
This means it would take 108 minutes to drive 150 km.
Now subtract the time you have already driven to fin how much more you need:
180 - 72 = 36 more minutes.
