Answer:
455 or 680, depending
Step-by-step explanation:
If we assume the three choices are different, then there are ...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to make the pizza.
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If two or three of the topping choices can be the same, then there are an additional ...
2(15C2) +15C1 = 2·105 +15 = 225
ways to make the pizza, for a total of ...
455 + 225 = 680
different types of pizza.
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There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.
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nCk = n!/(k!(n-k)!)
Answer:
W= 27 k J
Step-by-step explanation:
Given that
mass ,m = 90 kg
Height , h= 30 m
angle , θ = 25°
The work done by escalator is given as follows
W = m g h
Work done by escalator does not depends on the angle ,it depends only on height.
Now by by putting the values in the above equation we get
W= 90 x 10 x 30 J ( take g = 10 m/s² )
W= 27000 J
W= 27 k J
Therefore work done by escalator will be 27 k J.
There are no equations to choose from but it should look like the following.
a= # of adult tickets
s= # of student tickets
QUANTITY EQUATION
a + s= 560
COST EQUATION
$8a + $3s= $2905
***If you have to also solve for the number of adults and students, here are the steps.
STEP 1:
multiply quantity equation by -8
-8(a + s)= -8(560)
-8a - 8s= -4480
STEP 2:
add cost equation and step 1 equation
$8a + $3s= $2905
-8a - 8s= -4480
a term cancels out to zero
-5s= -1575
divide both sides by -5
s= 315 students
STEP 3:
substitute s=315 in quantity equation
a + s= 560
a + 315= 560
subtract 315 from both sides
a= 245 adults
ANSWER:
Quantity Equation
a + s= 560
Cost Equation
$8a + $3s= $2905
Hope this helps! :)
Answer:
No the factor of x^2 + 1 = n x^2 + 1
Step-by-step explanation:
