The sum of two numbers is 17 and their difference is 5. What are the two numbers?

Answer:

The answer is c.

Step-by-step explanation:

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.

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.

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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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..

Answer:

the answer is 16 c:

Step-by-step explanation:

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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Answer:

1.35

Step-by-step explanation:

Bonnie can make a frame with sides measuring 20 tiles and 2 tiles, using all of her 40 tiles.

To find the largest frame size that Bonnie can make with her 40 tiles, we need to determine the factors of 40. A factor is a number that divides evenly into another number. The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, and 40.

To create a frame, Bonnie needs two sides with lengths that multiply to give 40. The largest frame size will have sides of length 20 and 2, which can be achieved by placing the tiles in a rectangular shape.

Therefore, Bonnie can make a frame with sides measuring 20 tiles and 2 tiles, using all of her 40 tiles.

Answer: 10

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

12/17 as a decimal, rounded to the nearest thousandth, is 0.706, obtained by dividing 12 by 17 and rounding up due to the fourth decimal place being greater than 5.

To convert the fraction 12/17 to a decimal, divide 12 by 17. Upon doing this calculation, we get approximately 0.7058823529411765. Now, to round this to the nearest thousandth, we look at the fourth decimal place, which in this case is an '8'. Therefore, we round up the third decimal place from '5' to '6', giving us 0.706 as the final answer, rounded to the nearest thousandth.