Answer:
1000 cm²
Step-by-step explanation:
Given:
- Length = 10 cm
- Width = 12.5 cm
- Height = 8 cm
<u>Formula:</u>
Substitute the length, width, and the height of the prism to determine the volume of the prism.
Simplify the right hand side of the equation, as needed;
Therefore, the volume of the prism is 1000 cm².
Sometimes; An equation can have infinitely many, two, one, or none, so that eliminates never and always.
Answer:
10x² - 8x - 24
Step-by-step explanation:
Given
(2x - 4)(6 + 5x)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(6 + 5x) - 4(6 + 5x) ← distribute both parenthesis
= 12x + 10x² - 24 - 20x ← collect like terms
= 10x² - 8x - 24
Problem 1
<h3>Answer: 2/5</h3>
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Explanation:
There are 4 green blocks out of 4+6 = 10 total. We divide the number of green over the number total to get the answer. Reduce the fraction as much as possible. The fraction 4/10 reduces to 2/5 (we divide both parts by 2).
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Problem 2
<h3>Answer: 1/6</h3>
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Explanation:
The probability the spinner lands on red is 2/6 = 1/3. This is because there are 2 spaces that are red out of 6 total. It helps to reduce as much as possible.
The probability the coin lands on heads is 1/2 because there's 1 side labeled heads out of 2 total.
Multiply the fractions: 1/3 * 1/2 = 1/6
This works because both events are independent.
