Answer: B) The result is a prime number
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Explanation:
Replace x with 5. Then use PEMDAS to simplify.
7x+6
7*5+6
35+6
41
The expression 7x+6 is equal to 41 when x = 5.
The value 41 is prime because its factors are only 1 and 41.
Directly proportional to x.
<h3>What is propotionality?</h3>
- In algebra, proportionality is the equality of two ratios.
- A and B are in the same ratio as C and D in the formula a/b = c/d.
- When one of a proportion's four quantities is unknown, a proportion is often built up to resolve the word problem.
- By multiplying one numerator by the opposing denominator and equating the result to that of the other numerator and denominator, the equation can be solved.
- Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.
Acc to our question-
- If two variables' ratios (yx)
- (x and y) have the same value as a constant (k=yx)
- therefore the ratio's variable (y) in the numerator is the sum of the other variable and the constant (y=k:x).
- With a proportionality constant of k, it is claimed that y is directly proportional to x in this instance.
Hence,Directly proportional to x.
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12(2)+5
Dang, you're an elementary school er? Good grief i'm and 8th grade math one student!
Answer:
175 feet
Step-by-step explanation:
In 1 full revolution, the bike will travel 42 inches because the diameter of the tire is 21 inches. Any point on the tire will have to go through a whole revolution to be back at the original point which means 21 inches times 2.
So the bike travels 42 inches in 1 revolution then in 50 revolutions it will travel 2100 inches (42 times 50). Now if your convert 2100 inches to feet, you get 175 feet.
9514 1404 393
Answer:
Step-by-step explanation:
To find the initial amount, put 0 where t is in the formula and do the arithmetic.
A(0) = 523(1/2)^0 = 523(1) = 523
The initial amount is 523 grams.
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To find the amount remaining after 100 years, put 100 where t is in the formula and do the arithmetic.
A(100) = 523(1/2)^(100/30) ≈ 523(0.0992123) ≈ 52
About 52 grams will remain after 100 years.
