If a whole pan of brownies is being sold for $16, how much it cost to purchase 3/4 of the pan?
2 answers:
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Answer:
The system of linear equations has infinitely many solutions
Step-by-step explanation:
Let's modified the equations and find the answer.
Using the first equation:
we can multiply by 2 in both sides, obtaining:
which can by simplified as:
which is equal to:
Considering the second equation:
Taking into account that from the first equation we know that: , we can express the second equation as:
, which can be simplified as:
Because (-8) is being divided by (2+k), then (2+k) can't be equal to 0, so:
if
This means that k can be any number different than -2, and for each of these solutions, there is a different solution for y, allowing also, different solutions for x.
For example, if k=0 then
which give us y=-4, and, because:
if y=-4 then
Now let's try with k=-1, then:
which give us y=-8, and, because:
if y=-8 then
.
Then, the system of linear equations has infinitely many solutions
Okay, let's find out how much the tax was by finding out what 7% of $28 is, we do this by multiplying:
Convert 7% into a decimal, we do this by dividing it by 100 because percentages are parts of 100:
Multiply:
So this is the tax. Add it to the original price to get the total price:
Convert 7% into a decimal, we do this by dividing it by 100 because percentages are parts of 100:
Multiply:
So this is the tax. Add it to the original price to get the total price: