To rent tablecloth from a rental vendor, there is an initial charge of $40. There is an additional charge of $5 per circular tablecloth (c) and $3.50 per rectangular tablecloth (r). Which of the following represents the total cost (T) to rent tablecloths?

A. 5r + 3.5c - 40 = T

B. 5c + 3.5r + 40 = T

C. 5c + 3.5r - 40 = T

D. 5r + 3.5c + 40 = T

Answer Explanation:

From the given scenario:

Initial charge is $40

Additional charge per circular cloth=$5c

Additional charge per rectangular cloth=$3.50r

Total cost = additional charge per circular rectangular cloths + Initial charge

Total cost, T = 5c + 3.5r + 40

Therefore, the Correct Answer is B.

Q #1: Simplify the expression below. Which of the following is correct? $18x^5yz\ \div\ \ 6xyz^4$

A. $3x^4z^3$

B. $3x^4yz^3$

C. $\frac{(3x)^4}{z^3}$

D. $\frac{(3x^4)}{z^3}$

Answer Explanation

We use the properties of exponent with the same base to solve for above expression.

Multiplication of exponents with same base, we add the exponents

Division of exponents with same base, we subtract the exponents

Using these two properties, we can solve the expression:

Now we use the following properties:

y0 =1, and , thus
Q #2: A family is planning a driving vacation and is estimating the price of gasoline. While on the vacation, the family plans to drive 3,000 miles. The car gets about 25 miles per gallon, and the cost of gasoline is $1.66 per gallon. Which of the following is the estimate for cost of gasoline for the vacation?

A. $120.00

B. $41.50

C. $72.29

D. $199.20

Answer Explanation

We solve the problem by first finding the amount of gallons needed for the whole trip then find the cost of the gallon.

The car uses 1 gallon to cover 25 miles, which is same as:

Now, in 3000 miles, the car will use how many gallons of gasoline?

A trip of 3000 miles will need 120 gallons. And to find the cost of 120 gallons, we proceed as follows:

The family will spend $199.20 to drive for 3000 miles.
Q #3: Which of the following values is the greatest?

A. 9/2

B. 10/3

C. 4.4

D. 4.25

Answer Explanation

We are given a mix of fractions and decimals and to compare the numbers, we convert the given decimals to fractions.

4.4 becomes 44/10

4.25 becomes 425/100

Now the set of fractions for comparison are: 9/2, 10/3, 44/10, and 425/100. The least common denominator for 2, 3 and 10 is 300. Then,

9/2*300=1350

10/3*300=1000

44/10*300=1320

425/10*300=1275

From the above products, 9/2 gives the greatest value when the fractions are compared with the least common denominator of the given denominators.