For a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhole is needed for a button with a circumference of 7.38 centimeters? (Use the value of 3.14 to represent pi, and the formula for circumference = 2pir)

Answers

Answer 1

Answer: A button with a circumference of 7.38 cm will need a buttonhole with the size of 2.35 cm.

Since the circumference is equivalent to 7.38 cm, the formula can be displayed as follows:
7.38 cm = 2πr
r = 7.38cm/2π
r= 1.1751592 cm
diameter = 2r
= 2.3503184 cm or approximately 2.35 cm

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Solve the equation for the variable b.
a/b = c

Answers

the answer is a=bc i know I'm correct

just multiply both sides by b

a=cb

then divide both sides by c
a/c = b

so b = a/c

1. Each of 9 friends chooses her favorite positive integera. The median of the chosen number is 91, what is the smallest the average of the 9 chosen numbers could be?

b. The median of the chosen number is 91, is there an limit to how large the aerge of the chosen numbers can be? If so, what is the largest the average can be?

c. The average of the chosen number is 91, what is the smallest the median of the 9 chosen numbers could be?

d. The average of the chosen numbers is 91. What is the largest the median of the chosen numbers could be?

Answers

Answer:

a) 1

b) There is no limit to which the largest number can be because we are only given information about the median.

c) 1

d) 90

Final answer:

The smallest average is 49 and the largest average is 91. The smallest median is 91 and the largest median is also 91.

Explanation:

a. Since the median is 91, at least 5 friends must choose numbers greater than or equal to 91, and at most 4 friends can choose numbers less than 91. To minimize the average, let's assume the four friends choose the smallest possible numbers less than 91 (1, 2, 3, and 4). The remaining five friends can then choose 91, 91, 91, 91, and 91. The average of the nine chosen numbers is (1 + 2 + 3 + 4 + 91 + 91 + 91 + 91 + 91)/9 = 49.

b. There is no limit to how large the average of the chosen numbers can be. The nine friends can all choose the same number, such as 91, which would make the average 91.

c. Since the average is 91, let's assume the eight friends choose the smallest possible numbers less than 91 (1, 2, 3, ..., 8). The remaining friend can then choose a number greater than or equal to 91. To minimize the median, the friend can choose the smallest possible number greater than or equal to 91, which is 91. So, the smallest median would be 91.

d. Since the average is 91, let's assume the eight friends choose the largest possible numbers less than 91 (84, 85, ..., 91). The remaining friend can then choose a number greater than or equal to 91. To maximize the median, the friend can choose the largest possible number greater than or equal to 91, which is 91. So, the largest median would also be 91.

Learn more about median and average of chosen numbers here:

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What is this percent of change 40;72

Answers

Given:
Original or base : 40
New amount : 72

We need to find the difference of the new amount and the original amount

72 - 40 = 32

We then divide the difference by the original amount

32/40 = 0.80

We multiply the quotient by 100%

0.80 x 100% = 80%

The percentage of change is 80%

-\dfrac{1}{6} \times \left(-\dfrac{9}{7}\right)− 6 1 ×(− 7 9 )minus, start fraction, 1, divided by, 6, end fraction, times, left parenthesis, minus, start fraction, 9, divided by, 7, end fraction, right parenthesis

Answers

Answer:

$(3)/(14)$

Step-by-step explanation:

The even number of minus signs means the product will be positive. A factor of 3 can be removed to simplify the product. As usual, the numerator of the product is the product of numerators, and the denominator of the product is the product of denominators.

$-(1)/(6) * \left(-(9)/(7)\right)=(1\cdot 9)/(6\cdot 7)=(3\cdot 3)/(3\cdot 14)=\boxed{(3)/(14)}$

The answer to the expression $-(1)/(6) * \left(-(9)/(7)\right) - (1)/(6) * \left(-(9)/(7)\right)$ is 0.

In this expression, we have two terms that are identical: $-(1)/(6) * \left(-(9)/(7)\right)\) and \(-(1)/(6) * \left(-(9)/(7)\right)$ .

When we multiply a negative number by another negative number, the result is positive.

So, both of these terms become positive, and since they are identical, when we subtract one from the other, we get zero.

Now, let's provide a more detailed explanation.

When we multiply $-(1)/(6)\) by \(-(9)/(7)$ , we first multiply the numerators to get 9 and the denominators to get 42.

So, $-(1)/(6) * \left(-(9)/(7)\right) = (9)/(42)$ .

Now, we can simplify $(9)/(42)$ by dividing both the numerator and denominator by their greatest common divisor, which is 3.

So, $(9)/(42)$ simplifies to $(3)/(14)$ .

Therefore, the expression becomes $(3)/(14) - (3)/(14)$ , and when we subtract these two identical fractions, the result is indeed 0.

for such more questions on expression

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What is the area of a circle with a diameter of 200cm? Use 3.14 for pie.

Answers

Answer:

A≈31415.93cm²

Step-by-step explanation:

What is the standard form of 46 divided-60

Answers

Answer:

This notation in parentheses is also common: 46/60 = 0.7(6): However, in daily use it's likely you come across the reptend indicated as ellipsis: 46 / 60 = 0.76… . Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or whole numbers, including 46 and 60, of course.

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