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题目内容
A mixture of brown sugar and cinnamon in a bowl contains 20 percent cinnamon, by weight. To this mixture x ounces of cinnamon and 5x ounces of brown sugar will be added (x > 0).

Quantity A

The percent of cinnamon, by weight, in the bowl after the cinnamon and brown sugar are added

Quantity B

20%
If x is an integer, then what is the least possible value of $$3^{x}$$ + $$3^{-x}$$ ?
$$x$$ is a positive integer.

$$g \gt 0$$

Quantity A

$$g^{x}$$+$$\frac{1}{g^{x}}$$

Quantity B

$$1$$
The volume of a rectangular solid is 60, and the area of one of its faces is 11.

Quantity A

The surface area of the solid

Quantity B

100
If the sum of two numbers is $$9$$, what is the greatest possible value of the product of the two numbers?
$$\frac{1}{a}$$ +$$\frac{1}{b}$$ =$$\frac{1}{c}$$ , a+b=40, a, b and c are all positive numbers, which of the following could be the value of c?

Indicate all such numbers
The measure of each interior angle of a regular polygon with n sides is between 110° and 130°.

Quantity A

n

Quantity B

8
Jayden, Kenny and Laina are paid hourly wages at their jobs. Jayden`s hourly wage is between $8.00 and $9.00, Kenny`s hourly wage is $5.00 less than 2 times Jayden`s hourly wage, and Laina`s hourly wage is $1.00 more than Jayden`s hourly wage. Which of the following shows Jayden, Kenny, and Laina listed in order according to their hourly wages, from least to greatest?
When the total cost of 90 dollars for the rental of a van was evenly divided among n passengers, the cost to each passenger was less than 23 dollars.

Quantity A

n

Quantity B

5
A company has assets worth $150,000 and liabilities worth $70,000, giving it an asset-to-liability ratio of approximately 2.1. The company will borrow $$x$$ dollars, and the amount borrowed will be added to both the assets and the liabilities. If the asset-to-liability ratio is to be greater than 1.2 after the money is borrowed, which of the following could be the value of $$x$$?

Indicate all such values.
P(x)=$$x^{17}$$ - $$x^{18}$$

Quantity A

P($$\frac{8}{7}$$)

Quantity B

P($$\frac{7}{8}$$)
$$r$$ is a positive integer, $$k=2r+1$$, and $$h=5k-3$$

Quantity A

The units digit of $$h$$

Quantity B

2
The function $$f$$ is defined by $$f(x)=\sqrt{x} - 2$$ for all numbers $$x\geq0$$. If $$f(f(v))=0$$ and $$v \geq 4$$, what is the value of $$v$$?
The function $$f$$ is defined for all integers $$n$$ greater than 2 by $$f(n)=(1)(2)(3)...(n-2)$$. That is, $$f(n)$$ is the product of the first $$n-2$$ positive integers. What is the value of $$\frac{f(9)}{f(8)}$$?
The function $$h$$ is defined by $$h(x)=10^{(x+1)}$$ for all integers $$x$$. Which of the following is equal to $$\frac{h(x+1)-h(x)}{3}$$ for all integers x??
An apple falls straight to the ground from a tree branch 8 meters above the ground. The apple`s height above the ground, $$t$$ seconds after it starts falling, is $$H$$ meters, where $$H=8-4.9t^{2}$$ and $$t$$ ≥ 0. How many seconds after the apple starts falling does it hit the ground?

Give your answer to the nearest 0.1 second.

_____seconds
Temperature C in degree Celsius and the corresponding temperature F in degrees Fahrenheit are related by the equation F=$$\frac{9}{5}$$C+32. At a certain time at a weather station, the temperature in degrees Fahrenheit was equal to $$\frac{1}{5}$$ of the temperature in degrees Celsius. What was the temperature in degrees Fahrenheit?

_____℉
The function $$f$$ is defined by $$f(x) = 2x – 1$$ for all numbers $$x$$. If the function $$g$$ is given by $$g(x) = 3f(2x - 1) + 2$$ for all numbers $$x$$, what is the value of $$g(2)$$?

$$g(2)$$=_____
If f(v)=$$\sqrt{v}$$-2 , f(f(v))=0, then v=?
The function f is defined for all numbers x by f(2x)=$$x^{2}$$-2x+8.

Quantity A

f(6)

Quantity B

12

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