A new pencil weighs 25 grams. After the pencil has been used for a while, it weighs 2 decagrams. How many grams of the pencil have been used up. plz explain how to solve.

The equation for pressure at depth is:

P = 14.7 + 0.445*d

The diver is approximately 59.101 feet deep.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

With the given information,

The equation for pressure at depth is:

P = 14.7 + 0.445*d

where P is the pressure in pounds per square inch (psi), d is the depth in feet, and 14.7 is the pressure at sea level.

To find the depth of the diver given a pressure of 41.4 psi, we can rearrange the equation and solve for d:

d = (P - 14.7) / 0.445

Plugging in the given pressure:

d = (41.4 - 14.7) / 0.445

d = 59.101 feet

Therefore,

The diver is approximately 59.101 feet deep.

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Abby and Lauren practiced for a 1 hour and 7 minutes.

To find out how long Abby and Lauren practiced together on Wednesday, we need to add the time they each practiced individually.

1. First, we need to express the times practiced in the same form, preferably as fractions:

Abby's practice time: 11/12 of an hour
Lauren's practice time: 2/3 of an hour
2. Next, we need a common denominator to add these fractions. The least common multiple of 12 and 3 is 12:

2/3 = 8/12

3. Now, add the fractions:

11/12 + 8/12 = 19/12

Therefore, Abby and Lauren practiced for a total of 19/12 hours or 1 hour and 7 minutes on Wednesday.

Answer:

20!

Step-by-step explanation:

trust me i just did this problem! is 20 :)

To calculate the amount of punch Jane can make with 6 cups of plum juice, we need to convert cups to liters and use proportions based on the original juice ratios. She can make approximately 4.8 liters of punch with 1.44 liters of plum juice, 2.4 liters of pear juice, and 0.96 liters of pineapple juice.

Jane's favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3. To find out how much punch she can make with only 6 cups of plum juice, we need to set up a ratio based on the original proportions. First, we convert the given amount of plum juice to liters because the original recipe is in liters (1 cup is approximately 0.24 liters). Six cups of plum juice is roughly 1.44 liters.

Using the original ratio of 5:2:3 for pear, pineapple, and plum juice, and knowing that the amount of plum juice is 1.44 liters, we can set up the following proportions:

To find the values of x and y, we use cross multiplication:

By solving these equations, we find x (pear juice) is approximately 2.4 liters and y (pineapple juice) is approximately 0.96 liters. Adding these up, Jane can make a total of 4.8 liters of punch with the available plum juice.

The question revolves around the probability of choosing pens of specific colors. The calculation involves dividing the number of a particular outcome by the total outcomes. For each color pen, the chances are 1 in 6, unless the question asks regarding two colors OR not choosing certain colors.

The subject matter of this question is probability, a mathematical concept that measures the likelihood an event will happen. In this case, the event is Ms. Simon picking a pen of a specific color from her collection of six pens.

The formula for probability is P (Event) = Number of Favorable Outcomes / Total Number of Outcomes.

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Therefore, the quotient of 67 divided by 4 is 16.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Given that, 67 divided by 4.

Here,

4|67|16

  4

_____

 27

 24

_____

   3

So, the quotient is 16 and the remainder is 3.

Therefore, the quotient is 16.

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Mental math refers to numbers that are easy to compute mentally. These calculations can be done in your head without the need for a calculator or written work.

Mental math refers to numbers that are easy to compute mentally. These are calculations that can be done in your head without the need for a calculator or written work. For example, mental math can involve adding or subtracting small numbers, multiplying or dividing by powers of 10, or using estimation to approximate a value. It is a useful skill to develop as it saves time and allows for quick calculations.

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Estimation and mental math techniques, like knowing certain reciprocals, help to easily compute numbers mentally, a skill valuable in both academic and real-world settings.

Estimation and mental math are key concepts when considering numbers that are easy to compute mentally. By using heuristics, such as knowing the reciprocals of numbers that multiply to 10, or by rounding numbers to nearest tens or hundreds, we can simplify computations and make them more manageable without the use of calculators or paper. This approach is particularly useful when dealing with real-world scenarios where exact numbers are not necessary and approximate values will suffice.

After dividing 17 by 4 we get quotient 4 and remainder 1 so the mixed fraction of  [tex]\dfrac{17}{4} = 4 \dfrac{1}{4}[/tex] .

Use the concept of fraction defined as:

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

Here we have to convert 17/4 into a mixed fraction.

Divide 17 by 4,

(The complete steps of this division are attached below)

After division we get,

quotient = 4

remainder = 1

Hence,

The mixed fraction of,

[tex]\dfrac{17}{4} = 4 \dfrac{1}{4}[/tex]

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Answer:

Option D. [tex]33,493.3\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the sphere (beach ball) is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

we have

[tex]r=20\ cm[/tex]

substitute

[tex]V=\frac{4}{3}\pi (20^{3})=33,493.3\ cm^{3}[/tex]

Answer:

b

Step-by-step explanation:

Answer:

[tex]\frac{1}{400}[/tex] or 0.0025 0r 0.25%

Step-by-step explanation:

There are three categories that will get a prize

1) First place = 1 person

2) Second place = 5 persons

3) Third place = 20 persons

A total of 26 people will get prizes.

However, we want to determine your chance to win one of the second place prizes

There are 5 prizes in second place

This means out of a total of 2000 people, you could be among the 5

i.e 5 out of 2000

This is [tex]\frac{5}{2000} = \frac{1}{400} = 0.0025[/tex]

This means you have a chance of 1 out of 400

= 0.25%

The length of the Mississippi River is approximately 2,336.8 miles.

If the Mississippi River is about [tex]\( \frac{23}{25} \)[/tex] the length of the Missouri River, and the Missouri River is 2,540 miles long, we can find the length of the Mississippi River by multiplying the length of the Missouri River by [tex]\( \frac{23}{25} \).[/tex]

Length of the Mississippi River = [tex]\( \frac{23}{25} \times \text{Length of the Missouri River} \)[/tex]

Substituting the given value for the length of the Missouri River:

Length of the Mississippi River = [tex]\( \frac{23}{25} \times 2540 \)[/tex]

To compute this:

[tex]\[ \frac{23}{25} \times 2540 = \frac{23 \times 2540}{25} \][/tex]

[tex]\[ = \frac{58,420}{25} \][/tex]

= 2,336.8

Therefore, the length of the Mississippi River is approximately 2,336.8 miles.

A) The six digit number of Hannah is; 513315

B) The number of ways that 15 be written be written as the sum of 4 different counting numbers is; 4 different ways

A) Hannah wants to give a clue about her 6 digit secret number. We are told that if you read the number from right to left, it will be the same number.

Also, the number is a multiple of 9. Lastly, we are told that if we cross off the first and last number, the only remaining prime factor of the remaining four digit number is 11.

From the list of numbers gotten online that fit the bill, the only one that applies in this case is 513315

B) The different ways that 15 can be written as a sum of four different numbers are;

1 + 2 + 3 + 9 = 15

2 + 3 + 4 + 6 = 15

1 + 2 + 5 + 7 = 15

1 + 3 + 4 + 7 = 15  

These are 4 different ways

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