Rachel's hair grows 3.5 inches in 6 months. How much would you expect Rachel's hair to grow in 2 years.

Answer:

The length of rectangular garden is 30 feet.

Step-by-step explanation:

Given a rectangular flower garden is Samantha backyard has hundred feet around its edge. The width of the garden is 20 feet then we have to find the length of garden.

Perimeter of rectangular garden is given which is

Perimeter=100 ft

Width=20 ft

[tex]Perimeter=2(L+W)[/tex]

[tex]100=2(L+20)[/tex]

[tex]50=L+20[/tex]

[tex]L=50-20=30 ft[/tex]

The length of rectangular garden is 30 feet.

For the two performances, a total of 1026 tickets were sold.

To find the total number of tickets sold for both performances, we calculate the number of tickets sold for each performance and then add them together. The theater can sell 600 tickets for each performance.

For the first performance:

80% of 600 tickets = 0.80 * 600 = 480 tickets

For the second performance:

91% of 600 tickets = 0.91 * 600 = 546 tickets

Therefore, the total number of tickets sold for both performances is:

480 tickets (first performance) + 546 tickets (second performance) = 1026 tickets sold in total.

To find the total cost of a pair of pants priced at $29.95 with a 5% sales tax, calculate $29.95 multiplied by 0.05 for the tax amount, add that to the original price, and the total cost including tax is $31.45.

To calculate the total cost of a pair of pants with a sales tax, you first need to determine the amount of tax to be added to the price. Here's how you can do it:

Convert the sales tax rate from a percent to a decimal by dividing by 100. For a 5% sales tax, you get 0.05.

Multiply the price of the item by the decimal sales tax rate to find the amount of sales tax. So, $29.95 imes 0.05 = $1.4975.

Round the sales tax to the nearest cent, giving us $1.50.

Add the sales tax to the original price of the item. Therefore, $29.95 + $1.50 = $31.45, which is the total cost with tax.

The equivalent ratios from the table is 6/12 =9/18 =21/42 =27/54.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of oxygen atoms to sulfur atoms in sulfur dioxide is always same.

From the table, the ratio is

6:12

6/12 =9/x

6x=108

x=18

6/12 =21/y

1/2=21/y

y=42

6/12 =z/54

1/2 =z/54

z=27

Therefore, the equivalent ratios from the table is 6/12 =9/18 =21/42 =27/54.

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50 cm is about 19.67 inches that's a foot and 7.89 inches

I think 1.64 feet is the closest length

Answer:

assuming simple interest

I=PRT

I=262.5

P=3000

R=?

T=3.5

262.5=3000(?)(3.5)

262.5=10500?

divide both sides by 10500

0.025=?

2.5%=?

answer is 2.5%

Final answer:

The student's question involves finding two numbers with a known sum of 30 and a difference of 12. By setting up a system of linear equations and solving them, the two numbers are determined to be 21 and 9.

Explanation:

The student is asked to solve a system of linear equations where two numbers have a known sum and difference. Let's define the numbers as x and y. According to the problem, x + y equals 30, and x - y equals 12. We can solve these equations simultaneously to find the values of x and y.

Adding the two equations: (x + y) + (x - y) = 30 + 12, which simplifies to 2x = 42, so x = 21. Substituting x back into one of the original equations, 21 + y = 30, gives y = 9. Therefore, the two numbers are 21 and 9.

This exercise demonstrates one of the fundamental rules of mathematics used to find unknown quantities. Regardless of the context, such arithmetic rules are universally valid, and misunderstanding these rules, like miscounting goats or students as in the provided examples, leads to errors.

The Percent = 75% , base = unknown.

And the base is the number that follows " of " amount = 30.

Given that,

75% of what number is 30.

We have to determine,

Identify the percent, amount, and base in this problem.

According to the question,

Percentage means a number or a ratio represented in the form of fractions of 100. It is represented using the percentage sign ‘%’.

The percentage is defined as how much of one quantity is made by another quantity and it is evaluated in terms of 100.

The percentage is used to express fractions of a whole, while percentiles are the values below which a certain percentage of the data in a data set is found.  

Therefore, Percent = 75% , base = unknown.

And the base is the number that follows " of " amount = 30

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Answer:

Step-by-step explanation:

A,C,E

The partial products method helps break down a multiplication problem that can simplify calculations. In this case, for the multiplication of 6 * 0.16, we would select 0.6 (6 * 0.1) and 0.36 (6 * 0.06) as the partial products.

This is a multiplication problem regarding how much a rock would weigh on the moon if it weighs 6 pounds on Earth. To find the weight of a rock on the moon, we multiply the weight on Earth by the lunar weight factor, which is 0.16 in this case. Hence: 6 * 0.16 = 0.96.

Now, when we break down the multiplication using the partial product method, 6 * 0.16 can be viewed as (6*0)+(6*0.1)+(6*0.06), which equals 0 + 0.6 + 0.36. So the correct answers are B.0.6 and E.0.36.

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