Express the fraction in simplest form.

9/12

Answer:

1.35

Step-by-step explanation:

Final answer:

To do twice of p minus q, multiply p by 2 and then subtract q. For example, if p is 5 and q is 3, the result would be 7 (since 2*5 - 3 equals 10 - 3 equals 7).

Explanation:

To calculate twice of p minus q, first you need to understand that 'twice of p' means 2 times p, which is written as 2p. Then, you subtract q from this result. The algebraic expression for this calculation is 2p - q.

Here is an example, if p equals 5 and q equals 3, then twice of p minus q would be calculated as follows:

Twice of p is 2 times 5, which equals 10.

Then, subtract q (which is 3) from this result: 10 - 3 equals 7.

Therefore, twice of p minus q would be 7 when p is 5 and q is 3.

Answer:

The vertices of image are (5,1), (2,-5) and (-4,-5).

Step-by-step explanation:

The vertices of triangle are (5,-1), (3,-5) and (-1,-5).

If a figure dilated by scale factor k centered at (a,b), then

[tex](x,y)\rightarrow (k(x-a)+a,k(y-b)+b)[/tex]

The figure after a dilation with a scale factor of 3/2 centered at (5, −5).

[tex](x,y)\rightarrow (\frac{3}{2}(x-5)+5,\frac{3}{2}(y+5)-5)[/tex]

The coordinates of image are

[tex](5,-1)\rightarrow (\frac{3}{2}(5-5)+5,\frac{3}{2}(-1+5)-5)\rightarrow (5,1)[/tex]

[tex](3,-5)\rightarrow (\frac{3}{2}(3-5)+3,\frac{3}{2}(-5+5)-5)\rightarrow (2,-5)[/tex]

[tex](-1,-5)\rightarrow (\frac{3}{2}(-1-5)+5,\frac{3}{2}(-5+5)-5)\rightarrow (-4,-5)[/tex]

Therefore vertices of image are (5,1), (2,-5) and (-4,-5).

Answer:

the answer is 16 c:

Step-by-step explanation:

Joan completed 12 free throws. Tabitha completed 8, half of 4 more than Joan's total. Equation: (1/2)(4+n)=8. Solve: n=12.

Let's break down the problem step by step:

1. Let's denote the number of free throws Joan completed as n.

2. According to the given information, Tabitha completed 8 shots.

3. It's also mentioned that Tabitha completed half of 4 more than Joan completed. So, the number of shots Tabitha completed is [tex]\( \frac{1}{2}(4 + n) \)[/tex].

4. Since Tabitha completed 8 shots, we can write the equation:

[tex]\[ \frac{1}{2}(4 + n) = 8 \][/tex]

5. Now, let's solve for n:

[tex]\[ \frac{1}{2}(4 + n) = 8 \][/tex]

4 + n = 16 (multiplying both sides by 2 to eliminate the fraction)

n = 16 - 4

n = 12

So, the number of free throws, n, that Joan completed is indeed 12..

the value of the fraction when x = 2 and y = 3 is approximately [tex]\( \frac{1}{31.6} \).[/tex]

To find the value of the fraction [tex]\( \frac{1}{2x^3 + 5.2y} \) when \( x = 2 \) and \( y = 3 \)[/tex], we substitute these values into the expression:

[tex]\[ \frac{1}{2(2)^3 + 5.2(3)} \][/tex]

[tex]\[ = \frac{1}{2(8) + 5.2(3)} \][/tex]

[tex]\[ = \frac{1}{16 + 15.6} \][/tex]

[tex]\[ = \frac{1}{31.6} \][/tex]

So, the value of the fraction when x = 2 and y = 3 is approximately [tex]\( \frac{1}{31.6} \).[/tex]

The probable question maybe:

What is the value of fraction 1 over 2x^3 + 5.2y when x = 2 and y = 3?

The fraction of the pie given to his friend is [tex]\frac{1}{2}[/tex]

The leftover given to his friends will be determined adding the portion Christine and her brother ate which are [tex]\frac{1}{6}[/tex] and [tex]\frac{1}{3}[/tex] respectively, then subtracted from the whole portion.

= [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{3}[/tex] (The lowest common denominator of 6 and 3 = 6)

= (1 x 1) + (2 x 1) /6

= (1) + (2) / 6

= 1 + 2 / 6

= [tex]\frac{3}{6}[/tex]

Thus, total portion of the pie eaten by Christine and her brother = [tex]\frac{3}{6}[/tex] . Also the fraction of the whole portion of the pie = [tex]\frac{6}{6}[/tex]  

Determining the portion given to the friend =

Subtracting [tex]\frac{6}{6}[/tex] – [tex]\frac{3}{6}[/tex]

= [tex]\frac{6}{6}[/tex] – [tex]\frac{3}{6}[/tex] (The lowest common denominator of 6 and 6 = 6)

= (1 x 6) – (1 x 3) / 6

= (6) – (3) / 6

= 6 – 3 / 6

= [tex]\frac{3}{6}[/tex]

= [tex]\frac{1}{2}[/tex] (further broken down to this)

Therefore the fraction given to the friend is [tex]\frac{1}{2}[/tex].

LEARN MORE:

KEYWORDS:

Two hundred percent (200%) is equivalent to whole number 2.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

We have the percentage 200%.

Converting percentage to whole number,

200/100,

= 2

2 is equivalent to 200%.

Therefore, 2 is equivalent to 200%.

To learn more about the percentage;

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To determine the sales tax owed, calculate the total cost of the items purchased and apply the sales tax rate.

The sales tax rate in Brads town is 4.25%.

Therefore, the student owes a total amount of sales tax as calculated in step 3.

Answer:

[tex]\frac{1}{5}[/tex] cup of sugar per cup of water

Step-by-step explanation:

Set up a ratio with sugar on top and water on bottom to figure it out.

"If 1 cup sugar is equal to 5 cup water, then [tex]x[/tex] cup sugar equal to 1 cup water"

Translating the above statement into ratios:

[tex]\frac{sugar}{water}=\frac{1}{5}=\frac{x}{1}[/tex]

Cross multiplying and solving for [tex]x[/tex] gives us:

[tex]\frac{1}{5}=\frac{x}{1}\\5x=1*1\\5x=1\\x=\frac{1}{5}[/tex]

So [tex]\frac{1}{5}[/tex] cup of sugar is used per cup of water.

Without the height of the popcorn machine, the exact length cannot be calculated. The length is three-quarters of the height. If the height were known, the length would be determined by multiplying the height by 3/4.

To determine the length of the popcorn machine, we need to know the height of the machine since the length is expressed as a fraction of the height. Without the height measurement, we cannot calculate a specific length. However, if we were provided with the height (let's call it H), then we could easily find the length by multiplying the height by 3/4:

Length = (3/4) × H

For example, if the height of the popcorn machine were 4 feet, then the length would be calculated as follows:

Length = (3/4) × 4 feet = 3 feet

Therefore, the length of the popcorn machine is three-quarters of whatever its height is.

The winning candidate for the class president's election received 288 votes, as this represents 80% of the total votes (360). We calculated this by converting the percentage to a decimal (0.80) and multiplying it with the total votes.

This problem is about finding percentages of a given amount. The winner of the election received 80% of the votes. Given the total number of votes is 360, we need to find 80% of 360 to determine the number of votes the winning candidate received. To calculate this, simply multiply 360 by 0.80 (or 80%).

Here's the step-by-step calculation:

Hence, the winning candidate received 288 votes.

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Answer:

Step-by-step explanation:

If Stephen divided 46.8 by 0.5, the right quotient would be:

[tex]\frac{46.8}{0.5} = 93.6[/tex]

Therefore, the correct quotient would be 93.6, because if Stephen multiply 93.6 times 0.5, it would result in 46.8.

Remember that the quotient is basically the result of a division or fraction.

Answer: 10

How many hours will it take Kelli and Karl to earn the same amount of money? i took the k12 quiz

An equation that gives the city's population p (in thousands of people) x years after 2010 will be D. p = 4x + 15.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this situation, the population of a city increases by 4000 people each year. In 2025, the population is projected to be 450,000 people.

p = 450

4x + 15 = 450

4x = 435

Divide.

x = 108.75

Substituting the answer to check will be:

p = 4(108.75) + 15

p = 450

The correct option is D.

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The equation that gives the city's population x years after 2010 is p = 4x + 390.

To find an equation for the city's population x years after 2010, we need to determine the initial population in 2010 and the rate at which the population is increasing. Since the population is increasing by 4000 people each year, that means the population will increase by 4 people for every 1 year. We can represent this with the equation p = 4x + p0, where p is the population x years after 2010 and p0 is the population in 2010. Given that the population in 2025 is projected to be 450,000 people, we can substitute x = 15 into the equation and solve for p0:

p = 4(15) + p0
450 = 60 + p0
p0 = 450 - 60
p0 = 390

Therefore, the equation that gives the city's population p (in thousands of people) x years after 2010 is p = 4x + 390. So, the correct answer is option A: p = 4x + 390.

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The correct equation that gives the city's population 'p' (in thousands of people) 'x' years after 2010 is 'p-450 = 4(x - 15)', option B.

The problem can be solved by understanding the concept of linear equations. Since the population is growing steadily by 4000 each year, we can say that the rate of change is constant, which implies linear growth. The population in 2010 forms the base value and the annual increase forms the slope.

The year 2025 corresponds to 15 years after 2010 and at that point the population is projected to be 450,000 (or 450 based on the problem's notation of thousands of people). Therefore, for each year after 2010, the population increases by 4 (thousands of people). Consequently, the equation which represents this situation would be:

p = 4x + 450

But, since the question has given options that are in the format of p in terms of (x-15), we subtract 15 from each side to put the equation in the given format:

p-450 = 4(x - 15)

So, the correct answer is B.

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