how to make a mixed fraction into an improper fraction

1) The rate of growth for the honey bee population is approximately 10.1%, rounded to the nearest tenth.

2) The common ratio is approximately 1.101, rounded to the nearest thousandth.

We can use the formula for an explicit exponential model:

N = N0 × (1 + r)^t

where N0 is the initial population, r is the rate of growth (expressed as a decimal), t is the time elapsed (in years), and N is the final population.

We can use the given information to write two equations:

N0 = 3600

N = 25000

t = 12

Substituting these values into the formula, we get:

25000 = 3600 × (1 + r)^12

Solving for (1 + r), we get:

(1 + r)^12 = 25000/3600

(1 + r) = (25000/3600)^(1/12)

(1 + r) ≈ 1.101

r ≈ (1.101 - 1) × 100% ≈ 10.1%

Therefore, the rate of growth for the honey bee population is approximately 10.1%, rounded to the nearest tenth.

2) The common ratio is 1 + r, so

1 + r ≈ 1.101

Rounding to the nearest thousandth, we get:

1 + r ≈ 1.101

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Answer:

6) am - 2a - m + 2

7) bcx - bcy + x - y

Step-by-step explanation:

6) a(m - 2) - m + 2

am - 2a - m + 2

7) bc(x - y) + x - y

bcx - bcy + x - y

We need 124 grams of Na2O to produce 160 grams of NaOH

A balanced chemical equation is an equation where the number of atoms of each type in the reaction is the same on both reactants and product sides.

Let us first convert 160 grams of NaOH to moles using its molar mass. The molar mass of NaOH is:

Na = 22.99 g/mol

O = 15.99 g/mol

H = 1.01 g/mol

Molar mass of NaOH = 22.99 + 15.99 + 1.01 = 40.00 g/mol

Number of moles of NaOH = mass / molar mass = 160 g / 40.00 g/mol = 4.00 mol

Since the reaction requires 2 moles of NaOH for every 1 mole of Na2O, we need half as many moles of Na2O as NaOH.

Therefore, we need: 1/2 x 4.00 mol = 2.00 mol of Na2O

Finally, we can convert moles of Na2O to grams using its molar mass:

Na = 22.99 g/mol

O = 15.99 g/mol

Molar mass of Na2O = 22.99 + 2(15.99) = 61.98 g/mol

Mass of Na2O = number of moles x molar mass = 2.00 mol x 61.98 g/mol = 123.96 g

Therefore, we need 124 grams of Na2O to produce 160 grams of NaOH

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The fraction of pair that are equivalent are 3/7 and 36/84 and 1/5 and 1/10.

The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions. For instance, since 2/4 and 3/6 both equal the 12, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.

When evaluating equivalent fractions, the numerator and denominator are multiplied or divided by the same value. As a result, equivalent fractions will all have the same value when reduced to their simple form.

To find the equivalent fraction we simplify the fractions to the simplest form:

3/7 and 36/84

The simplified form of 36/84 = 3/7

3/7 and 36/84 are equivalent.

3/6 and 6/9 = 1/2 and 2/3 - Not equivalent

7/12 and 12/7 not equivalent

1/5 and 1/10 = 1/5 and 1/5 equivalent.

Hence, the fraction of pair that are equivalent are 3/7 and 36/84 and 1/5 and 1/10.

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Transformations on a graph refer to changes made to the graph that affect its appearance or position without changing its underlying structure or properties.

Some common transformations on a graph include:

Translation: This involves shifting the entire graph horizontally or vertically without changing its size or shape. For example, if a point on the graph is originally located at (2,3), a translation by (4,-1) would move it to (6,2).

Scaling: This involves enlarging or shrinking the entire graph uniformly in all directions. For example, a scaling factor of 2 would double the distance between all points on the graph, while a scaling factor of 0.5 would halve it.

Reflection: This involves flipping the graph across an axis, such as the x-axis or y-axis. Reflections can also be performed across other lines, such as y = x or y = -x.

An overview on transformation was given as the information is incomplete.

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Answer: 1kg

Step-by-step explanation:

Answer:

almost 4.5g

Step-by-step explanation:

Hope this is the answer you are looking for

Answer:

$1.24

Step-by-step explanation:

use a proportion.

$3.10/5 = x/2

5x = 2 × $3.10

x = $1.24

Answer:

$1.24

Step-by-step explanation:

$3.10 for 5 bags

I bag = 310/5= 62

Move the decimal point back two times which is 0.62

2 bags cost 0.62*2= 1.24

= $1.24

Answer:x=-49 I hope this helps I speak little Spanish

Step-by-step explanation:

X+7y=-49

To find the -intercept/zero, substitute Y=0

X+7 times 0=-49

Any expression multiplied by 0 equals 0

X+0=-49

Removing 0 doesn't change the value, so remove it from the expression

X=-49

Answer:

-0.9

Step-by-step explanation:

-5.4 + 1.8 = 4x - 1.8 + 1.8

-3.6 = 4x

-3.6/4 = 4x/4

-0.9 = x

Answer:

Step-by-step explanation:

16

The  mass converted value in the standard form using kilograms to pounds is given by ( 94.7988 ) pounds.

Standard formula which relates these two given quantities of mass are written as :

One kilogram is equivalent 2.205 pounds.

Now, substitutes the standard relation between the kilograms and the pounds to calculate the required value,

1 kilogram = 2.205 pounds

⇒ 43 kilograms = ( 43 ) × ( 2.205 ) pounds

⇒ 43 kilograms = ( 94.7988 ) pounds

Therefore, the converted value of 43 kilograms into the pounds is written as  ( 94.7988 ) pounds.

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The probability that fewer than 3 of the elk survive to adulthood is

P(n < 3) = 0.8.

The probability of an event is a number that indicates how likely the event is to occur.

Given is that Biologists estimate that a randomly selected baby elk has a 44% probability of surviving to adulthood.

It is given that -

P{surviving to adulthood} = 44/100 = 0.4

For -

P(n < 3) = 0.4 + (0.4 + 0.4)/2

P(n < 3) = 0.4 + 0.4

P(n < 3) = 0.8

Therefore, the probability that fewer than 3 of the elk survive to adulthood is P(n < 3) = 0.8.

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Using the percentage formula it is obtained that there are 40 number of pages in the book.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred.

Let's use "x" to represent the total number of pages in the book.

According to the problem, Daniel has read 80 percentage of the book, which means he has read -

8/100 = 0.8x pages

He still has 8 pages left to finish, so we can set up an equation -

0.8x + 8 = x

Solving for x, we can subtract 0.8x from both sides -

0.8x + 8 - 0.8x = x - 0.8x

8 = 0.2x

Then, we can divide both sides by 0.2 to get -

x = 40

Therefore, there are 40 pages in the book.

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Anser 15

Step-by-step explanation:

If y*=y1/2(y2+1) then -3(16* - 9*) = -10.5y1(y2 + 1), called polynomial.

A polynomial is an expression that consists of variables, numbers, and operations (like addition, subtraction, multiplication, and division). It is similar to a mathematical equation, but instead of an equals sign, it uses coefficients and variables in a power form. The power of a polynomial is determined by the highest power of the variables in the expression.

For example, if the polynomial is x2 + 5x + 2, then the power is 2. Polynomials are used in many areas of mathematics, such as calculus, algebra, and number theory.

If y*= y1/2(y2+1) then -3(16* - 9*)

= -3(16(y1/2(y2 + 1)) - 9(y1/2(y2 + 1)))

= -3(8y1(y2 + 1) - 4.5y1(y2 + 1))

= -3(3.5y1(y2 + 1))

= -10.5y1(y2 + 1)

In this problem, 16* is equal to 16(y1/2(y2 + 1)) and 9* is equal to 9(y1/2(y2 + 1)). When -3 is multiplied to 16* - 9*, the result is -3 times the difference of 16* and 9*. The expression then simplifies to -10.5y1(y2 + 1).

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a) The sister spends more (making total payments of $414,000) over the 30-year period than the young man, who spends $306,000.

b) Assuming both living situations are the same, the sister is in a better position as far as having a financial asset is concerned.

The numbers are determined using the mathematical operations of multiplication and subtraction.

The monthly rent for an apartment = $850

The total payments for 30 years = $306,000 (30 x 12 x $850)

Sister's Payment for a Mortgaged House:

Down payment = $20,000

Monthly mortgage payments = $1,150

The total payments for 30 years = $414,000 ($1,150 x 360)

The difference in total payments = $108,000 ($414,000 - $306,000)

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Therefore, based on their z-scores, Ryan is more likely to be accepted at his university of choice than Kyle, assuming that the admissions decision is based solely on their exam scores.

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur. The closer the probability is to 1, the more likely the event is to occur, while the closer it is to 0, the less likely it is to occur.

Here,

To determine which of the two students is more likely to be accepted at their university of choice, we need to compare their exam scores relative to the other students who took the same exam. We can use the concept of standard scores, also known as z-scores, to make this comparison.

The z-score of an observation x is the number of standard deviations that x is away from the mean of the population. It is calculated as:

z = (x - μ) / σ

where x is the observation, μ is the mean of the population, and σ is the standard deviation of the population.

For Kyle's exam, his z-score is:

z = (403 - 355) / 59 = 0.814

For Ryan's exam, his z-score is:

z = (45 - 27) / 4 = 4.5

A z-score of 0 means the observation is at the mean of the population, while a positive z-score means the observation is above the mean, and a negative z-score means the observation is below the mean.

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Answer:

x = 4

y = 8

Step-by-step explanation:

If y = 3x - 4 and y = -1/2x + 10, then

3x - 4 = -1/2x + 10

3.5x = 14

x = 14/3.5 = 4

y = 3(4) - 4 = 8

The rounded off form of the number 836534 into 2 Significantly digits as required is; 840000.

It follows from the task content that the number 836534 is to be rounded into 2 significant digits as required.

On this note, since the given number is; 836534.

The 2 greatest place value digits are 8 and 3. Hence, the third digit is considered to round the number off.

Since the third digit is 6, it is rounded to 1 and added to 3 so that the rounded off form of the given number to 2 SD is; 840000.

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Rounding off 836534 into 2 significant fiqure will give us  840000.

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The crucial figures are preserved when numbers are rounded off.

Round up if the number you're rounding has a 5, 6, 7, 8, or 9. For instance, 30 is equal to 28, rounded to the nearest tens place. Round down if the number you are rounding has a 0, 1, 2, 3, or 4 after it. For instance, 10 is the result of rounding 13 to the nearest ten.

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The blanks when completed is: If 3 = x, then x = 3

From the question, we have the following parameters that can be used in our computation:

3 = x x = 3

The above equation is an illustration of the symmetric property of equation

The symmetric property of an equation states that if one side of an equation is equal to the other side, then the other side is equal to the first side.

In other words, if we have an equation that says a = b, then we can use the symmetric property to say that b = a

Using the above as a guide, we have the following:

If 3 = x, then x = 3

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Answer:

-4a² + 7a + 4

Step-by-step explanation:

Subtract -4 + 3a² from 7a - a².

(7a - a²) - (-4 + 3a²) =

= 7a - a² + 4 - 3a²

= -4a² + 7a + 4

Answer:

120-90

=30

the change in stock price is $30 per share

As per the conversion factor, 5 foot 8 inches is equal to 172.72 centimeters

In this case, we're talking about converting from feet and inches to centimeters.

To convert 5 feet 8 inches to centimeters, we need to first convert the feet to inches, and then add the total number of inches. Since one foot is equal to 12 inches, we can multiply 5 feet by 12 to get 60 inches. Then, we add the remaining 8 inches to get a total of 68 inches.

Now, we need to use a conversion factor to convert inches to centimeters. One inch is equal to 2.54 centimeters, so we can multiply 68 inches by 2.54 to get the answer in centimeters.

To summarize, the conversion factors we used are:

1 foot = 12 inches

1 inch = 2.54 centimeters

=> (68 inches x 2.54 cm/inch) =  172.72 centimeters

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The volume of the rectangular prism is 480 cubic inches.

Volume is a three-dimensional space measurement. It is frequently numerically quantified using SI-derived units or various imperial or US customary units. The definition of length is linked to the definition of volume.

Let's label the dimensions of the rectangular prism as length (l), width (w), and height (h).

From the given information, we know that the cross section formed by the horizontal plane and the prism is a rectangle with dimensions 8 in. and 12 in. This means that the length and width of the rectangular prism are at least 12 in. and 8 in., respectively.

Similarly, the cross section formed by the vertical plane and the prism is a rectangle with dimensions 5 in. and 8 in. This means that the height and width of the rectangular prism are at least 5 in. and 8 in., respectively.

Therefore, the faces of the rectangular prism are:

A face with dimensions l x w = 12 in. x 8 in.

A face with dimensions l x h = 12 in. x 5 in.

A face with dimensions w x h = 8 in. x 5 in.

To find the volume of the rectangular prism, we can use the formula:

Volume = length x width x height

Since we don't know the exact dimensions of the rectangular prism, we can use the minimum dimensions we found earlier. Therefore, the volume of the rectangular prism is:

Volume = 12 in. x 8 in. x 5 in. = 480 cubic inches

So the volume of the rectangular prism is 480 cubic inches.

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The binomial probability distribution is a ​Discrete probability distribution that describes probabilities for experiments in which there are two​ mutually exclusive outcome.

Discrete Probability Distribution:

A discrete probability distribution can be defined as a probability distribution that gives the probability that a discrete random variable has a given value. These distributions represent data with a finite number of possible outcomes. There are two conditions that a discrete probability distribution must satisfy.

1) 0 ≤ P(X = x) ≤ 1. This means that the probability of a discrete random variable X taking the exact value x is between 0 and 1.

2) ∑P(X = x)=1. The sum of all probabilities must be 1.

Mutually exclusive outcome:

Mutual Exclusive Outcome is a statistical term that describes two or more events that cannot occur simultaneously. It is commonly used to describe a situation where one result is replaced by another. For example, war and peace cannot coexist at the same time. This makes them mutually exclusive.

The concept of mutual exclusivity is often used in capital budgeting. A company may have to choose from several projects that, when completed, will add value to the company. Some of these projects are mutually exclusive.

For example, suppose a company has a budget of $50,000 for an expansion project. Projects A and B are mutually exclusive if available projects A and B each cost $40,000 and project C costs $10,000.

If a company is pursuing A, it cannot afford to bully B, and vice versa. Project C can be considered independent. Even if other projects go ahead, the company can still afford to do C. If neither A nor B accepts, the viability of C is not affected, and accepting C does not affect the viability of other projects.

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Therefore , the solution of the given problem of angle comes out to be

m∠QRP =  50 degree.

In Euclidean space, an angle is a structure that consists of two poles who split at its apex and apex, which are located in its centre. The sides or loops are the name given to these rays. Combining two rays could result in an inclination within the planes in that they are located. Two planes can be combined to form angles as well. These are referred to as dihedral angles. Two line rays at their end points can be arranged in many ways to produce patterns in two dimensions.

Here,

Given :

m∠RSP = 79 , m∠SPR = 40 and m∠QRS = 111

To find the angle m∠QRP

So,

First find the angle ∠SRP

Thus ,

it is a triangle

79 + 40 + ∠SRP = 180

=> ∠SRP  = 180 - 79 -40

=>∠SRP = 61 degree

and

=> m∠QRP = m∠QRS  - ∠SRP

=> m∠QRP =  111 - 61

=> m∠QRP =  50 degree.

Therefore , the solution of the given problem of angle comes out to be

m∠QRP =  50 degree.

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The value of 152 centimeter converted to feet is simply done by dividing the length value by 30.48 so we get 152 cm equal to 4.98 feet.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

Use the following two formulae to translate from cm to feet and inches:

1 cm equals 0.3937 inches.

and

12 inches make one foot.

It goes like this:

70.86614 inches are equal to 180 cm (180 x 0.3937 inches).

60.86614 div. 12 = 5 and 60.86614 mod. 12 = 10.86614

hence, 180 centimetres equal 5 ft. 10.86614 inches.

To have this tool calculate something for you, input 180 cm above.

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An online calculator for Rand McNally mileage is a tool that allows you to calculate the distance and travel time between two locations based on the Rand McNally Road Atlas.

An online calculator for Rand McNally mileage typically requires you to input the starting location and the destination and then provides an estimated distance and travel time based on data from the Rand McNally Road Atlas. Some calculators also allow you to adjust for factors such as traffic, tolls, and fuel consumption.

This type of calculator can be useful for planning road trips, estimating travel costs, and optimizing travel routes. It is often used by trucking companies, delivery services, and other businesses that rely on accurate mileage and travel time information.

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The value which is converted from Fahrenheit to Celsius is equal to 40 Fahrenheit to 4.44444Celsius.

Fahrenheit and Celsius are the units which represents the measurement of the temperature in Standard form .

Formula that relates Fahrenheit and Celsius is represented by the standard formula as mentioned below

(°F − 32) × 5/9 = °C

We have to Substitute the value 40 Fahrenheit in the Standard formula of the temperature to get into Celsius ,

= ( 40°F − 32) × 5/9

= 8 × 5/9

= 40 / 9

= 4.44444 Celsius

= 4.44444 Celsius

Therefore, the conversion value of 4 Fahrenheit into the Celsius is written as 4.44444 Celsius .

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The above question is incomplete, the complete question is:

What is the conversion of 40 Fahrenheit in Celsius ?

It should be noted that the line of symmetry for the shape will be 5.

A line of symmetry is a line that divides a shape into two congruent parts that are mirror images of each other. In other words, if you fold the shape along the line of symmetry, the two halves will perfectly overlap.

Here are some examples of shapes and their lines of symmetry:

Square: A square has four lines of symmetry, which are the vertical, horizontal, and two diagonal lines.

Rectangle: A rectangle has two lines of symmetry, which are the vertical and horizontal lines.

Circle: A circle has an infinite number of lines of symmetry, because you can draw a line through the center in any direction.

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