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pochemuha
2 years ago
15

If a box of cereal that is 12.5 ounces costs $2.78, what is the unit price? Round your answer to the nearest cent.

Mathematics
1 answer:
Reptile [31]2 years ago
5 0

Answer: A) $4.50 per ounce

Step-by-step explanation: All you do is divide 12.5 by 2.78. You should get 4.4964028777, which, when rounded up to the nearest cent, should equal $4.50

Hope you found this helpful!

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What are the first three terms of the Arithmetic Sequence a, = 15 - 2(n - 1)?
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Plug 1, 2, and 3 into n and you'll get 15, 13, and 11 respectively

4 0
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0.123 × 0.007 = _______. A. 0.000861 B. 0.00871 C. 0.861 D. 0.000900
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The answer is A 0.000861

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Miriam and Ruth are each individually applying for an $8,000, 24-month personal
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Answer:

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Miriam, with her lower FICO score, is more likely to have been offered the loan with the higher interest rate.

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3 years ago
An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

================================================

Explanation:

We have a triangle with these side lengths:

  • a = 10
  • b = 16
  • c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need b^2 < a^2+c^2 to be true in order for an acute triangle to happen.

So,

b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0
3 years ago
Simplify the expression by combining like
viva [34]

Answer:

Below

Step-by-step explanation:

First we combine your first set of terms,

7b^2 + 2b^2 = 9b^2

There's a subtraction hidden in there!

9b^2 - 3b^2 = 6b^2

Next we do the same thing for the second term,

3b + 7b = 10b

but there's a subtraction in the expression!

10b - b = 9b

Then we finish with our third term

6 + 5 = 11

Answer:

6b^2 + 9b + 11

4 0
3 years ago
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