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mason l.

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29
What is **40% of 20% of 10**?

You can rewrite the percentages as decimals, and figure this out using multiplication.

The expression**40% of 20% of 10** is just **0.4 *0.2 * 10 = .08*10 = 0.8**.

The expression

Candles are a relaxing addition to __an evening, they are also dangerous, though, and __should never be left unattended.

Excellent. By changing the first comma into a semicolon, you have corrected what was before **a comma splice**. When you see two independent clauses separated by only a comma, what you are dealing with is a comma splice that creates a run-on sentence. There are a few ways to fix this; changing the comma to a semicolon is one of those ways. You were also correct to notice that the second and third commas in this sentence, those surrounding “though”, are correctly used. Because “though” functions as a parenthetical aside, it should be surrounded by commas.

A student decides to sell lemonade at her school. She knows she will sell 90 glasses of lemonade each day. Each glass will cost her 30 cents to make. What is the *minimum* price she should charge per glass if she hopes to make $45 profit each day?

The quickest way to the answer is to see that if she sells 90 glasses and makes $45 she is making 50 cents per glass. Therefore she should charge 30 + 50 = 80 cents.

Alternatively, you could solve the following equation:

45 = 90*(x - .30) = 90x - 90*.3 = 90x - 27

The amount of money she makes ($45) is 90 times the difference between the price of the lemonade and the cost of the lemonade (i.e. 90 times her profit per glass). It follows that 90x = 72 and that**x = 0.80**.

Alternatively, you could solve the following equation:

45 = 90*(x - .30) = 90x - 90*.3 = 90x - 27

The amount of money she makes ($45) is 90 times the difference between the price of the lemonade and the cost of the lemonade (i.e. 90 times her profit per glass). It follows that 90x = 72 and that

If the angle

Lining up **AC** with **CD**, we add the length of **CD** **(4)** to the length of **AC**. Since **ABC** is a **3-4-5 right triangle**, the length of **AC** is **5**.

The maximum distance possible between**A** and **D** is **9**.

The maximum distance possible between

In the figure above, what is the area of triangle XYZ?

Triangle XYZ is made up of two right triangles. Based on the lengths of the sides we can tell that each triangle is a **45-45-90** triangle (the length of the hypotenuse equals the length of a side times the square root of 2).

We now know that the length of XZ is 2, and can solve for the area of triangle XYZ by:

- area = (base)(height)

area = (2)()

If **a = 3** and **b = 4**, what is the value of **|a| - |b| + |a - b| **?

If the two triangles shown above have the same area, what is the value of x?

The smallest number which has both **7** and **21** as factors is:

What is the value of the mean of set

(1over 2) times (2over 3) times (3over 4) times (4over 5) times (5over 6)(6over 7)?

If **n = 1 - 2**, what is ** 1/n + n**^{3}?

**30 - x = 17 **** x + y = 23**

What is the value of **x ^{2} - 5x - 4**?

If you are also told that

What is one possible pair of values for

If ** 3u 6** and ** v 1**, what is the greatest possible value of

Punishment should be ----, when the criminal act is still fresh in the mind of the perpetrators.

Brenda shares a limousine with several of her friends one evening. For the first hour, four friends join her; for the second hour three friends join her; and for the last hour one friend joins her.

The limousine costs $100 per hour, and the friends share the cost in the following manner. For each hour, each person pays $100 divided by the number of people who were in the limousine for that hour.

How much did Brenda pay?

Although he was ordinarily ----, Mr. Wendell would talk at length about his hobbies.

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