Answer:
- rational
- irrational
- irrational
- irrational
- √7, it is irrational
Step-by-step explanation:
A <em>rational</em> number is one that can be expressed as the ratio of two integers. All fractions that have integer numerators and (non-zero) denominators are <em>rational</em> numbers. Any finite decimal number, or any repeating decimal number, is a rational number. These can always be expressed as the ratio of two integers. For example, 0.4040... = 40/99, and 0.286 = 286/1000.
To make an irrational sum, at least one of the contributors must be irrational. You want an irrational 2-number sum that has 7/8 as one of the contributors. Since 7/8 is rational, the other contributor must be irrational.
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<u>Step 1</u>. The number 7/8 is <em>rational</em>.
<u>Step 2</u>. The desired sum is <em>irrational</em>.
<u>Step 3</u>. The rule <em>rational + </em><em>irrational</em><em> = irrational</em> applies.
<u>Step 4</u>. An <em>irrational</em> number must be chosen.
Step 5. √7 will produce an irrational sum, because <em>it is irrational</em>.
Answer:
Option (B)
Step-by-step explanation:
Let the weight of one container = x pounds
Therefore, weight of 5 containers = 5x pounds
Weight of the platform = 30 pounds
Total weight of the platform and containers = (5x + 30) pounds
If the maximum weight that can be lifted by the cable = 780 pounds
Inequality representing this situation will be,
(5x + 30) < 780
5x < 780 - 30
5x < 750
x < 150
Therefore, Option (B) is the answer.
Answer:
-3
Step-by-step explanation:
Note the right side of the equation. There is a negative sign outside of the parenthesis. Distribute the negative sign to all terms within the parenthesis:
x + 3 = - (-x + __)
x + 3 = x - ___
Note:
1) When multiplying a negative and positive together, the answer will be negative
2) When multiplying a negative and negative together, the answer will be positive:
x + 3 = x - ___
Note the equal sign, this means that the two side of the equation must equal. This means that the only answer choice is -3:
x + 3 = x - (-3)
x + 3 = x + 3 (True)
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Answer:
It would be 14.1
Step-by-step explanation:
6% of 14 is 0.9, so subtracting that from 15 would leave you with 14.1
It is 6.40 units.
To determine distance between two points, use the pythagorean theorem.
5^2 + 4^4 = c^2
25+16=c^2
41=c^2
c=square root of 41