41/18 as a mixed number

Answer: B) 4.90

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Since Katrina is taller than Allison, to calculate the how many inches taller is Katrina than Allison, we have to subtract Allison’s height to Katrina’s height:

Mathematically speaking:

69.75 -64.85 = 4.9 inches.

For this case, the first thing we must do is define variables.

We have then:

x: number of nickles

y: number of quarters

We now write the system of equations.

We have then:

[tex] 0.05x + 0.25y = 3.90

y = x + 6
[/tex]

Solving the system of equations graphically we have:

[tex] x = 8

y = 14
[/tex]

Answer:

8 nickels and 14 quarters

Note: see attached image for the graphic solution.

Answer: There are 8 nickels and 14 quarters.

Explanation:

Since we have given that

there are $3.90 worth of nickles and quarters in a piggy bank.

Let the number of nickles be x

Let the number of quarters be x+6

As we know that

[tex]1\ nickle=0.05\ dollars\\\\and\\\\\ 1\ quarter=0.25\ dollars[/tex]

According to question,

[tex]0.05x+0.25(x+6)=3.90\\\\0.05x+0.25x+1.5=3.90\\\\0.3x=3.90-1.5\\\\0.3x=2.4\\\\x=\frac{2.4}{0.3}=8\\\\and \\\\x+6=8+6=14[/tex]

Hence, there are 8 nickels and 14 quarters.

Answer:

a

Step-by-step explanation:

Final answer:

The equivalent equation solved for h is h = -b/r. To derive this equation, we can isolate h in the given equation p = 0.7(rh + b) by multiplying both sides by the reciprocal of 0.7, distributing, and simplifying, option n 2 is correct.

Explanation:

The equivalent equation solved for h is h = −b ÷ r.

To derive this equation, we need to isolate h in the given equation p = 0.7(rh + b). We can start by multiplying both sides of the equation by the reciprocal of 0.7, which is 1.4286 (approximately).

Then, we can distribute the 1.4286 to the terms inside the parentheses to get p = 1.4286rh + 1.4286b. Next, we can subtract 1.4286b from both sides of the equation to isolate the 1.4286rh term.

Finally, we can divide both sides of the equation by 1.4286r to solve for h, which gives us the equivalent equation h = −b ÷ r.

 Nonresponse. The others might occur, but with this degree of nonresponse inferences to the entire population cannot be made. 

To show that f(x) = cot(x) is strictly monotonic on the interval (0,pi), we need to show that the derivative of f(x) is either strictly positive or strictly negative on that interval.

To show that f(x) = cot(x) is strictly monotonic on the interval (0,pi), we need to show that the derivative of f(x) is either strictly positive or strictly negative on that interval.

The derivative of f(x) can be found using the chain rule as follows:

Now, let's consider the interval (0,pi). The function f(x) = cot(x) is defined on this interval, and its derivative -csc^2(x) is strictly negative for all x in (0,pi). Therefore, f(x) is strictly decreasing on the interval (0,pi), which means it is strictly monotonic.

Since f(x) is strictly monotonic on the interval (0,pi), it has an inverse function on that interval. The inverse function of f(x) is denoted as f^{-1}(x).

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Answer:

14 degress below

Step-by-step explanation:

Mathematical processing involves various cognitive processes and can engage multiple areas of the brain. However, certain brain regions are commonly associated with mathematical processing such as Parietal Cortex

Parietal Cortex: The parietal cortex, specifically the intraparietal sulcus, plays a crucial role in numerical processing, spatial processing, and quantity representation.

Frontal Cortex: The frontal cortex, particularly the dorsolateral prefrontal cortex, is involved in problem-solving, logical reasoning, and working memory, which are essential for mathematical processing.

Angular Gyrus: The angular gyrus, located in the parietal lobe, is involved in mathematical thinking, number processing, and mathematical reasoning.

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Final answer:

The ratio of passing to failing grades in the class is 3 to 1. With 17 failing grades, we can determine there were 51 passing grades by setting up a proportion and solving for the number of passing grades.

Explanation:

The question relates to the ratio of passing grades to failing grades and asks us to find the number of passing grades if there are 17 failing grades. The ratio given is 9 to 3, which simplifies to 3 to 1 (since both 9 and 3 are divisible by 3). This means for every 3 passing grades, there is 1 failing grade.

Since there are 17 failing grades and the ratio of failing to passing is 1 to 3, we can set up a proportion to find the number of passing grades (p):

1/3 = 17/p

Multiplying both sides by p and then by 3 gives us:

3 × 17 = 1 × p

51 = p

Therefore, there were 51 passing grades.

There are 8 bits in a dollar.

We have,

If a "bit" is defined as 1/8 of a dollar, we can calculate the number of bits in a dollar by dividing the dollar amount by the value of a bit.

1 dollar / (1/8) bit = 1 dollar * (8/1) bit

Simplifying the equation:

1 dollar * 8 bits = 8 bits

Therefore,

There are 8 bits in a dollar.

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Answer:  The correct option is (A) b < 4000.

Step-by-step explanation:  Given that the public library has fewer than 4,000 books.

We are to select the inequality that describes the number of books in the library.

The number of books in the library is represented by b.

According to the given information, the inequality hat describes the number of books in the library is given by

[tex]b<4000.[/tex]

Thus, (A) is the correct option.

If x > 1, then the expression (0.25 - x) will have the least value when x is equal to 1.

If x > 1, then the expression (0.25 - x) will be negative. When comparing negative values, the one with the least absolute value will have the least value. Therefore, to find the expression with the least value, we want to find the largest negative value for (0.25 - x). Since x > 1, the largest negative value for (0.25 - x) would occur when x is closest to its minimum value, which is 1. Therefore, the expression (0.25 - x) will have the least value when x is equal to 1.

graph of y=log (10 000x) is related to the graph of y=log x is transposed by 4 units.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given graphs of  y=log (10 000x)

y equal to ten thousand of x

We know a property of log.

logab=loga+logb

Log ab equal to log a plus log b.

So log (10 000x) =log 10000+log x

=4+logx

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

So the graph of log (10 000x) is transposed by 4 units.

Hence  graph of y=log (10 000x) is related to the graph of y=log x is transposed by 4 units.

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The probability that a randomly chosen ticket will award a larger prize is calculated by multiplying the probability of getting a winning ticket with the probability that the winning ticket is for a larger prize, which results in a 20% chance.

The question is seeking to determine the probability that a ticket chosen at random from a raffle will award a larger prize. We are given that 6 out of every 10 tickets are winning tickets, and of those winning tickets, 1 in every 3 is for a larger prize. To find this probability, we need to multiply the probability of a ticket being a winner by the probability of the winning ticket awarding a larger prize:

Now, we multiply these probabilities:

Probability of a larger prize = Probability of winning ticket × Probability of a larger prize given a winning ticket

Probability of a larger prize = 0.6 × 0.333

Probability of a larger prize = 0.2 or 20%

Answer: B or 1/5

Step-by-step explanation:

Answer:

From the honey, and pollen

Step-by-step explanation:

Joey Chestnut needs to eat more than 6.89 hot dogs per minute for the next 9 minutes to break his record of 72 hot dogs.

To find the number of hot dogs per minute Joey Chestnut needs to eat in the remaining 9 minutes to break his record, we need to start by calculating how many more hot dogs he needs to surpass 72 hot dogs. Since he has already eaten 10 hot dogs in the first minute, he needs to eat more than 62 hot dogs in the next 9 minutes to break the record.

We calculate the average number of hot dogs per minute by dividing the remaining number of hot dogs by the number of minutes left. So,

To break his record, Joey Chestnut needs to eat more than 6.89 hot dogs per minute for the next 9 minutes.

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Joey needs to eat:

[tex]\[\boxed{7}\][/tex]

hot dogs per minute for the next 9 minutes to break his record.

Joey Chestnut wants to break his record of eating more than 72 hot dogs in 10 minutes. After the first minute, he has already eaten 10 hot dogs. We need to find out how many hot dogs per minute he needs to eat for the remaining 9 minutes to break his record.

First, determine the number of hot dogs Joey needs to eat in total to break the record:

[tex]\[72 + 1 = 73 \text{ hot dogs}\][/tex]

Next, calculate the number of hot dogs he still needs to eat after the first minute:

[tex]\[73 - 10 = 63 \text{ hot dogs}\][/tex]

Since he has 9 minutes remaining, we need to find the number of hot dogs per minute he needs to eat:

[tex]\[\frac{63 \text{ hot dogs}}{9 \text{ minutes}} = 7 \text{ hot dogs per minute}\][/tex]

Therefore, Joey needs to eat:

[tex]\[\boxed{7}\][/tex]

hot dogs per minute for the next 9 minutes to break his record.