| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
A tiger in a zoo has consumed 70 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 105 pounds?
| 5 | |
| 9 | |
| 15 | |
| 8 |
If the tiger has consumed 70 pounds of food in 10 days that's \( \frac{70}{10} \) = 7 pounds of food per day. The tiger needs to consume 105 - 70 = 35 more pounds of food to reach 105 pounds total. At 7 pounds of food per day that's \( \frac{35}{7} \) = 5 more days.
What is 7\( \sqrt{5} \) x 7\( \sqrt{9} \)?
| 14\( \sqrt{45} \) | |
| 147\( \sqrt{5} \) | |
| 14\( \sqrt{9} \) | |
| 49\( \sqrt{5} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
7\( \sqrt{5} \) x 7\( \sqrt{9} \)
(7 x 7)\( \sqrt{5 \times 9} \)
49\( \sqrt{45} \)
Now we need to simplify the radical:
49\( \sqrt{45} \)
49\( \sqrt{5 \times 9} \)
49\( \sqrt{5 \times 3^2} \)
(49)(3)\( \sqrt{5} \)
147\( \sqrt{5} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Ezra buys two shirts, each with a regular price of $34, how much money will he save?
| $10.20 | |
| $6.80 | |
| $15.30 | |
| $8.50 |
By buying two shirts, Ezra will save $34 x \( \frac{45}{100} \) = \( \frac{$34 x 45}{100} \) = \( \frac{$1530}{100} \) = $15.30 on the second shirt.
If \( \left|x + 5\right| \) + 8 = -4, which of these is a possible value for x?
| -17 | |
| 15 | |
| -5 | |
| 0 |
First, solve for \( \left|x + 5\right| \):
\( \left|x + 5\right| \) + 8 = -4
\( \left|x + 5\right| \) = -4 - 8
\( \left|x + 5\right| \) = -12
The value inside the absolute value brackets can be either positive or negative so (x + 5) must equal - 12 or --12 for \( \left|x + 5\right| \) to equal -12:
| x + 5 = -12 x = -12 - 5 x = -17 | x + 5 = 12 x = 12 - 5 x = 7 |
So, x = 7 or x = -17.
Which of these numbers is a factor of 64?
| 62 | |
| 61 | |
| 44 | |
| 4 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.