Answer:
<h2>8 cans for $4</h2>Step-by-step explanation:
The choices they have to buy are
Sages team needs at least 75 cans, and they have only $50. Let's make inequalities with each option they have.
12 cans for $8:
The unit rate here is 67 cents per can. So, 75 cans would be
Which is out of their budget.
10 cans for $8 is just not the solution, because it's giving less cans for the same money.
8 cans for $4:
The unit rate is 50 cents per can. So, 75 would be
Therefore, the last package is the best choice to buy at least 75 cans with a budget of $50 only.
Step-by-step explanation:
The above sequence is a geometric sequence
For an nth term in a geometric sequence
where
n is the number of terms
a is the first term
r is the common ratio
From the question
a = 5
r = 10/5 = 2
Therefore the explicit formula for this sequence is
Hope this helps you
We will proceed to solve each case to determine the solution of the problem.
<u>case a)</u>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
therefore
case a) is not the solution of the problem
<u>case b)</u>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
therefore
case b) is not the solution of the problem
<u>case c)</u>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
therefore
case c) is not the solution of the problem
<u>case d)</u>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
therefore
case d) is the solution of the problem
therefore
<u>the answer is</u>
