| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Damon buys two shirts, each with a regular price of $19, how much money will he save?
| $2.85 | |
| $9.50 | |
| $4.75 | |
| $8.55 |
By buying two shirts, Damon will save $19 x \( \frac{50}{100} \) = \( \frac{$19 x 50}{100} \) = \( \frac{$950}{100} \) = $9.50 on the second shirt.
What is \( \frac{-1y^7}{4y^4} \)?
| -4y3 | |
| -\(\frac{1}{4}\)y3 | |
| -\(\frac{1}{4}\)y28 | |
| -\(\frac{1}{4}\)y11 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-y^7}{4y^4} \)
\( \frac{-1}{4} \) y(7 - 4)
-\(\frac{1}{4}\)y3
A tiger in a zoo has consumed 80 pounds of food in 10 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 104 pounds?
| 6 | |
| 3 | |
| 10 | |
| 12 |
If the tiger has consumed 80 pounds of food in 10 days that's \( \frac{80}{10} \) = 8 pounds of food per day. The tiger needs to consume 104 - 80 = 24 more pounds of food to reach 104 pounds total. At 8 pounds of food per day that's \( \frac{24}{8} \) = 3 more days.
a(b + c) = ab + ac defines which of the following?
commutative property for division |
|
distributive property for division |
|
distributive property for multiplication |
|
commutative property for multiplication |
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 triathlon course includes a 100m swim, a 50.7km bike ride, and a 9.100000000000001km run. What is the total length of the race course?
| 59.9km | |
| 63.2km | |
| 51.1km | |
| 64.7km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.1km + 50.7km + 9.100000000000001km
total distance = 59.9km