Which expression is equivalent to 6p + 6p?

A. 12p
B. 36p
C. 12 + 2p
D. p6

Final answer:

To determine the total outcomes for a 6-sided die and a 4-part spinner, simply multiply the outcomes for each, resulting in 24 unique outcomes.

Explanation:

When calculating the number of outcomes for rolling a 6-sided die and then spinning a 4-part spinner, we need to consider the principle of counting. The die has six possible outcomes: 1, 2, 3, 4, 5, and 6. The spinner has four possible outcomes.

To find the total number of combined outcomes, we multiply the number of outcomes of the die by the number of outcomes of the spinner. Therefore, the total number of outcomes is 6 (from the die) times 4 (from the spinner) which equals 24 unique outcomes.

Final answer:

Given 400 meters of fencing, constructing a square pen would result in an area of 10,000 square meters, while a circular pen would yield approximately 12,732 square meters, making the circular pen the larger option.

Explanation:

Ernesto wants to construct the largest possible pen for his iguana using 400 meters of fencing. To determine the maximum area of a rectangular pen, we can use the principle that a square will always provide the largest area for a given perimeter. In the case of a rectangular enclosure, we form a square with each side being one-fourth of the total available fencing, here being L/4 where L is 400 meters. Thus, each side of the square would be 400/4 = 100 meters. The area of such a square would be side × side = 100 m × 100 m = 10,000 square meters.

For the circular pen, the entire length of fencing would be the circumference of the circle. Given the formula for circumference is C = 2πr, where r is the radius, we set 400 = 2πr to solve for r, which is approximately 63.66 meters. The area of a circle is given by A = πr², which would then be approximately π(63.66)^2 ≈ 12,732 square meters. Therefore, a circular pen would provide a larger enclosed area compared to a square one given the same amount of fencing.

Answer: Louisville was cooler in January (-9/2 F) than in December

(-3.5  F).

Step-by-step explanation: PLATO

Answer:

the answer is 2:7

Step-by-step explanation:

just because

The probability is the ratio of the favorable event to the total number of events. Then the probability that it is a multiple of 6 is 0.16 or 16%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

A bucket contains 50 lottery balls numbered 1-50. One is drawn at random.

Total event = 50

Favorable event = 8 {6, 12, 18, 24, 30, 36, 42, 48}

Then the probability will be

[tex]\rm P = \dfrac{8}{50}\\\\P = 0.16\\\\P = 16\%[/tex]

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Answer:

The amount is $275.3

Step-by-step explanation:

We can use amount formula

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where

A is the amount

P is money invested

r is interest rate

n is number of periods

t is time in years

we are given

P=200

r=4%=0.04

t=8

n=12

so, we can plug these values

[tex]A=200(1+\frac{0.04}{12})^{12\times 8}[/tex]

we can simplify it

and we get

[tex]A=275.3[/tex]

So,

The amount is $275.3

It's D, because the mean doesn't matter as much if it's only taken in a small variability. The mean was selected from 25 random pages in the book, that is why it is right.

Answer:

Step-by-step explanation:

According to Kim's calculations

Remember that a mean is defined as the quotient between the sum of all elements and the total number.

According to this calculations, the Math Book has more words per page, based on its greater mean.

Therefore, the right answer is the first choice.

Answer:

m-2/m=m^2-3m+2/m^2-m

m-1=m^2-2m+2m+1/m-1

Step-by-step explanation:

That is your answer if it is wrong i will try to fix it

The number that Dennis started with is 24

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

[tex]\large {m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

[tex]y - y_1 = m ( x - x_1 )[/tex]

Let us tackle the problem.

Let :

The number that Dennis started with is X

If he adds 0.5 to that number and then multiplies the new result by 4 , then:

[tex]( X + 0.5 ) \times 4[/tex]

If he then subtracts 2 and divides the number by 2 , then:

[tex]\frac{[ ( X + 0.5 ) \times 4 ] - 2}{2}[/tex]

If his final answer is 48 , then :

[tex]\frac{[ ( X + 0.5 ) \times 4 ] - 2}{2} = 48[/tex]

[tex][ ( X + 0.5 ) \times 4 ] - 2 = 48 \times 2[/tex]

[tex]( X + 0.5 ) \times 4 = 48 \times 2 + 2[/tex]

[tex]( X + 0.5 ) \times 4 = 96 + 2[/tex]

[tex]( X + 0.5 ) \times 4 = 98[/tex]

[tex]( X + 0.5 ) = \frac{98}{4}[/tex]

[tex]( X + 0.5 ) = \frac{49}{2}[/tex]

[tex]X = \frac{49}{2} - \frac{1}{2}[/tex]

[tex]X = \frac{48}{2}[/tex]

[tex]\large {\boxed {X = 24} }[/tex]

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

All of the statistical measures are used to analyze a dot plot.

In mathematics and statistics, the term "mean" refers to the average of a set of variables. There are various ways to determine the mean, including geometric means, harmonic means, and simple arithmetic means (putting the numbers together and dividing the result by the quantity of observations).

All of the following measures can be determined by analyzing a dot plot:

Range: The difference between the highest and lowest values.

Median: The middle value when the data is arranged in order.

Mode: The value that appears most frequently in the data set.

Mean The average of all the values in the data set.

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To solve for the expression mn with m=6 and n=4, the values are multiplied to get 6 × 4 = 24. Therefore, the answer is 24, which corresponds to Option A.

To evaluate the expression mn when m=6 and n=4, you simply multiply the values of m and n together.

The calculation is as follows:

Therefore, the value of mn is 24.

So, the correct answer is Option A: 24.

The correct answer is A. 24. The expression, mn is 24.

To evaluate the expression [tex]\( mn \)[/tex] when  [tex]\( m = 6 \)[/tex] and [tex]\( n = 4 \)[/tex], we simply multiply the two numbers together:

[tex]\( mn = (6)(4) \).[/tex]

Now, let's perform the multiplication:

[tex]\( 6 \times 4 = 24 \)[/tex].

Therefore, the value of [tex]\( mn \)[/tex] when [tex]\( m = 6 \)[/tex] and [tex]\( n = 4 \)[/tex] is 24.

The other options provided in the question are incorrect because they do not result from the multiplication of  [tex]\( m \)[/tex] and  [tex]\( n \)[/tex] as given:

B. [tex]\( 64 \) is \( 4^3 \) or \( 2^6 \)[/tex], which is not the product of  [tex]\( m \)[/tex] and  [tex]\( n \)[/tex].

C. [tex]\( 1,296 \) is \( 6^4 \) or \( 2^{10} \)[/tex], which is also not the product of  [tex]\( m \)[/tex] and  [tex]\( n \)[/tex].

D.[tex]\( 4,096 \) is \( 4^6 \) or \( 2^{12} \)[/tex], which again is not the product of [tex]\( m \)[/tex] and  [tex]\( n \)[/tex].

The only correct answer is A. [tex]\( 24 \)[/tex], which is the result of multiplying [tex]\( m \)[/tex] by [tex]\( n \)[/tex].

It says that she withdrew 525 dollars from a saving account over a total period of 14 days.

As this amount is debited from her account, so it would be a negative number in her passbook i.e. -525 dollars.

To find the average change in the account balance, we can divide the total amount withdrawn from the account by the total number of days.

Average change in account balance = [tex]\frac{debited \;amount}{total \;time \;period}[/tex] .

Average change = [tex]\frac{-525}{14}[/tex]

Hence, option A is correct i.e. [tex]\frac{-525}{14}[/tex].

Part A: The expression [tex]4\cdot d[/tex] represents the number of strawberries Heather needs for the desserts.

Here, the variable "d" represents the number of desserts Heather will make.

Part B:  Heather has 24 ounces of strawberries, she can make 6 desserts.

Mathematically, an expression is a combination of numbers, variables, operations, and functions that are composed together according to specific rules to represent a computation or relationship of mathematics. It can be thought of as a mathematical phrase or formula.

Part A: Let's represent the number of desserts Heather will make with the variable "d".

The expression that represents the number of strawberries Heather needs for the desserts can be written as:

[tex]4 \times d[/tex].

Here, the variable "d" represents the number of desserts Heather will make.

Part B: If Heather has 24 ounces of strawberries, we can set up an equation to determine the number of desserts she can make.

[tex]4 \times d[/tex] = 24 ounces.

To solve for "d," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 4 ounces/dessert:

d (desserts) = [tex]\frac{24}{4 }[/tex]

Simplifying the right side of the equation:

d (desserts) = 6 desserts.

Therefore, Heather can make 6 desserts with 24 ounces of strawberries.

Therefore, [tex]4 \times d[/tex] represents the number of strawberries, where variable "d" is the number of desserts and Heather can make 6 desserts with 24 ounces of strawberries.

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Answer:

1/3

Step-by-step explanation:

mark me brainy plz and thank u

[tex] |\Omega|=21\\
|A|=10\\\\
P(A)=\dfrac{10}{21}\approx48\% [/tex]

The given expression (9×10^−3)+(2.4×10^−5)÷0.0012 equals 2.9x10^-2 in scientific notation. The division operation was performed first and added to 9x10^-3, demonstrating the usefulness of scientific notation in simplifying arithmetic.

In order to evaluate the given expression (9×10^−3)+(2.4×10^−5)÷0.0012, you first need to perform the operations in parentheses which is the standard form of the expression to simplify it. Next, we must remember the order of mathematical operations, also known as BIDMAS or PEMDAS in mathematics: Brackets (or Parentheses), Indices (or Exponents), Division, Multiplication, Addition, and Subtraction.

However, in this expression we only have addition and a division to perform. The division operation takes precedence over addition, thus we first divide 2.4×10^−5 by 0.0012. The result of this can then be added to 9×10^−3. Let's perform these calculations:

So, the evaluated expression equals 2.9x10^-2 in scientific notation. This is a simplification of arithmetic using scientific notation, which helps to easily handle very large or very small numbers.

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