Answer:
series is 15, 75, 375, 1875, 9375, 46875, 234375
Step-by-step explanation:
r=5
an = 234,375
n = 7
a1 = ?
a1 = an /rn-1
a1 = 234,375 /57-1
a1 = 15
a2 = 15*5 = 75
a3 = 15*25 = 375
a4 = 15*125 = 1875
a5 = 15*625 = 9375
a6 = 15*3125 = 46, 875
a7 = 15*15,625 = 234,375
Hence series is 15, 75, 375, 1875, 9375, 46875, 234375
In order to find the price per bar, we divide the price by the amount of bars. For the first one:
15.37/10 = $1.54 per bar
The second package:
15.35/12 = $1.28 per bar.
The 10-pack costs $1.54 per bar and the 12-pack costs $1.28 per bar. The 12-pack has the better price per bar.
Now, let's look at the price per ounce. We do this in a similar way. We find the total amount of ounces in the package, and divide the price by the number of ounces.
In the first package, we multiply 10*2.1=21. We have 21 ounces in the first package. Now we divide 15.37/21. In the first package, we have 0.73 dollars per ounce.
Now, let's look at the second package. We start by multiplying 1.4*12=16.8. There are 16.8 ounces in the package. Now, we divide 15.35/16.8=0.91. So, in the second package, we have 0.91 dollars per ounce.
The cost per ounce of the 10-pack is $0.73 and the cost per ounce of the 12-pack is $0.91. The first package has the better price per ounce.
The better explanation is the second one, because I prefer the lower price per ounce, I think that the 1st pack is the better buy.
Answer:
y=-4x+17
Step-by-step explanation:
plug in the coordinates and solve for b
5=-12+b
b=17
18 is the answer.1/8 is 6 so all you need to do is find that and multiply it by the numerator
Answer:
You could order 16 different kinds of pizza.
Step-by-step explanation:
You have those following toppings:
-Pepperoni
-Sausage
-Mushrooms
-Anchovies
The order is not important. For example, if you choose Sausage and Mushrooms toppings, it is the same as Mushrooms and Sausage. So we have a combination problem.
Combination formula:
A formula for the number of possible combinations of r objects from a set of n objects is:
How many different kinds of pizza could you order?
The total T is given by
is the number of pizzas in which there are no toppings. So
is the number of pizzas in which there are one topping is a combination of 1 topping from a set of 4 toppings. So:
is the number of pizzas in which there are two toppings is a combination of 2 toppings from a set of 4 toppings. So:
is the number of pizzas in which there are three toppings is a combination of 3 toppings from a set of 4 toppings. So:
is the number of pizzas in which there are four toppings. So
Replacing it in T
You could order 16 different kinds of pizza.