| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
How many 1 gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?
| 6 | |
| 5 | |
| 9 | |
| 3 |
To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{3 \text{ gallons}}{1 \text{ gallons}} \) = 3
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Bob buys two shirts, each with a regular price of $27, how much will he pay for both shirts?
| $2.70 | |
| $32.40 | |
| $51.30 | |
| $29.70 |
By buying two shirts, Bob will save $27 x \( \frac{10}{100} \) = \( \frac{$27 x 10}{100} \) = \( \frac{$270}{100} \) = $2.70 on the second shirt.
So, his total cost will be
$27.00 + ($27.00 - $2.70)
$27.00 + $24.30
$51.30
a(b + c) = ab + ac defines which of the following?
commutative property for multiplication |
|
commutative property for division |
|
distributive property for multiplication |
|
distributive property for division |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Roger buys two shirts, each with a regular price of $32, how much money will he save?
| $12.80 | |
| $14.40 | |
| $8.00 | |
| $16.00 |
By buying two shirts, Roger will save $32 x \( \frac{45}{100} \) = \( \frac{$32 x 45}{100} \) = \( \frac{$1440}{100} \) = $14.40 on the second shirt.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 70% larger than the original. By what percentage has the area of the logo increased?
| 25% | |
| 32\(\frac{1}{2}\)% | |
| 17\(\frac{1}{2}\)% | |
| 35% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 70% the radius (and, consequently, the total area) increases by \( \frac{70\text{%}}{2} \) = 35%