In your change cup you have 28 coins. All of which are nickels and quarters. Together they add up to $4. How many coins do you have of each.
Answer:
The options are not shown, so i will answer in a general way.
Let's define the variables:
h = number of hats
m = number of mugs.
We know that a total of 1000 items were ordered, then:
h + m = 1000
We also know that we have 3 times more mugs than hats, this can be written as:
m = 3*h
Now we have the system of equations:
h + m = 1000
m = 3*h
To solve these, we usually start by isolating one of the variables in one equation and then replace that in the other equation, but in this case, we already have m isolated in the second equation, then we can replace that in the first equation to get:
h + m = 1000
h + (3*h) = 1000
Now we can solve this equation for h, and find the number of hats ordered.
4*h = 1000
h = 1000/4 = 250
There were 250 hats ordered.
Notice this is a geometric progression since each number multiplied by some factor equals the next number in the sequence, in this case,
Then by applying the formula for sum to infinity of a geometric progression,
9 = -7-2y
9 +7=16
16/-2 -2y/-2
-8 = y
hold on give me a sec please
Step-by-step explanation:
and thank you
