The manufacturer should make 6 chairs and 12 sofas t o complete this order.
This is a system of equation problems. You need to write 2 equations with the variables and solve them.
The equations are:
10c + 20s = 300
s = 2c
We can solve with substitution.
10c + 20(2c) = 300
10c + 40c = 300
50c = 300
c = 6
If there are 6 chairs, then there must be 12 sofas.
The Given Sequence is an Arithmetic Sequence with First term = -19
⇒ a = -19
Second term is -13
We know that Common difference is Difference of second term and first term.
⇒ Common Difference (d) = -13 + 19 = 6
We know that Sum of n terms is given by : 
Given n = 63 and we found a = -19 and d = 6
The Sum of First 63 terms is 10521
Answer:
Elliot has to wait 11 months before he has enough cars
Step-by-step explanation:
Elliot has 4 display cases with each case being able to hold 15 cars. Thus we know
total # of cars Elliot can place in his display case = 4 * 15 = 60 cars
From this, we can figure out how many more cars Elliot needs by subtracting the amount of cars he already has
# of cars Elliot needs = 60 - 28 = 32 cars
Now to find the number of months Elliot needs, we divide by how many he can buy each month
# of months Elliot needs to save up for = 32 / 3 = 10 2/3
Assuming Elliot does not get his allowance until the end of the month, we will have to round the number of months up to the nearest integer, 11
Answer:
the answer would be 90
Step-by-step explanation:
100 giants fills 5/8 (100/160) of the theater leaving 3/8 of the theater for the elves.
3/8 times 240 elves is 90 elves.
If there were 150 elves that would also be 5/8 filled plus the original 5/8 filled with 100 giants! Some elves might suffer!!!
Answer:
Step-by-step explanation:
First of all we need to know when does two events become independent:
For the two events to be independent, 
that is if condition on one does not effect the probability of other event.
Here, in our case the only option that satisfies the condition for the events to be independent is 
. Rest are not in accordance with the definition of independent events.
