At a particular music store, CDs are on sale at $14.00 for the first one purchased and $12.00 for each additional disc purchased
2 answers:
Answer:
7 CDs has been purchased.
Step-by-step explanation:
Given,
For the first CD, cost = $ 14.00,
Let x be the additional number of CD purchased by Maria,
That is, total purchased CD = x + 1,
Now, for each additional CD, cost = $ 12.00,
So, the cost of x additional CD's = 12x dollars,
And, the total amount of the CDs = (14 + 12x) dollars
According to the question,
Total cost = $ 86.00
⇒ 14 + 12x = 86
⇒ 12x = 86 - 14 = 72
⇒ x = = 6
Hence, the total number of CDs purchased = 6 + 1 = 7.
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The question gives:
Perimeter=28cm
Area= 42 cm²
If the perimeter is the sum of all sides of the rectangle, you have:
Perimeter= 2b+2h=28
If the area of the rectangle is 42cm², you have:
Area=bh=42 cm²
You can write a system of linear equations.
2b+2h=28 (1)
bh=42 (2)
From equation 2, you have . Then, you can replace it in equation 1.
Now, you should solve the quadratic equation.
If h1=9.65 cm, then , and if h2=4.35 cm, then
.
Read more about the quadratic function here:
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