Answer:
The jar has 32 dimes and 18 quarters
Step-by-step explanation:
<u>To solve this problem we can create a system of linear equations in terms of two-variables (say </u>
<u> and </u>
<u>) and solve it.</u> To begin let us analyze the problem further. We know that the values of each coin type are:
Dimes (
) = $0.10
Quarters(
) = $0.25
Total Value = $7.70
Total Coins = 50
Now let us set up our system of equations as:
Eqn.(1)
Eqn.(2)
Lets take Eqn.(2) and rerrange it to solve for
as:
Eqn.(3)
Now lets plug this, in Eqn.(1) so we get the value of
as:


Plugging in
back in Eqn.(3) we finally have:

Thus we conclude that in the jar the coins are:
Dimes (
) 
Quarters(
) 
Answer:
x = 3.4
Step-by-step explanation:
Given the graphs of 2 functions, then the solutions to both are at their points of intersection, that is
where f(x) = g(x)
There are 3 possible points of intersection to f(x) = g(x)
The one on the list , however, is at x = 3.4
-3,-2,-1,0,1 are all between -4 and 2 excluding those numbers.
Answer: 173.3 feet
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
number of apples in each package = 3
number of bananas in each package = 4
total number of bananas in every 20 packages = 20 × 4 = 80
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