| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
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A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Charlie buys two shirts, each with a regular price of $10, how much will he pay for both shirts?
| $12.00 | |
| $11.50 | |
| $1.50 | |
| $18.50 |
By buying two shirts, Charlie will save $10 x \( \frac{15}{100} \) = \( \frac{$10 x 15}{100} \) = \( \frac{$150}{100} \) = $1.50 on the second shirt.
So, his total cost will be
$10.00 + ($10.00 - $1.50)
$10.00 + $8.50
$18.50
Solve 3 + (3 + 5) ÷ 3 x 2 - 42
| 2\(\frac{1}{3}\) | |
| -7\(\frac{2}{3}\) | |
| \(\frac{2}{9}\) | |
| \(\frac{3}{8}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
3 + (3 + 5) ÷ 3 x 2 - 42
P: 3 + (8) ÷ 3 x 2 - 42
E: 3 + 8 ÷ 3 x 2 - 16
MD: 3 + \( \frac{8}{3} \) x 2 - 16
MD: 3 + \( \frac{16}{3} \) - 16
AS: \( \frac{9}{3} \) + \( \frac{16}{3} \) - 16
AS: \( \frac{25}{3} \) - 16
AS: \( \frac{25 - 48}{3} \)
\( \frac{-23}{3} \)
-7\(\frac{2}{3}\)
What is 7\( \sqrt{2} \) x 9\( \sqrt{4} \)?
| 16\( \sqrt{8} \) | |
| 126\( \sqrt{2} \) | |
| 16\( \sqrt{2} \) | |
| 16\( \sqrt{4} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
7\( \sqrt{2} \) x 9\( \sqrt{4} \)
(7 x 9)\( \sqrt{2 \times 4} \)
63\( \sqrt{8} \)
Now we need to simplify the radical:
63\( \sqrt{8} \)
63\( \sqrt{2 \times 4} \)
63\( \sqrt{2 \times 2^2} \)
(63)(2)\( \sqrt{2} \)
126\( \sqrt{2} \)
Convert 0.0008325 to scientific notation.
| 83.25 x 10-5 | |
| 8.325 x 10-3 | |
| 8.325 x 104 | |
| 8.325 x 10-4 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.0008325 in scientific notation is 8.325 x 10-4
Find the average of the following numbers: 8, 6, 9, 5.
| 10 | |
| 5 | |
| 8 | |
| 7 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{8 + 6 + 9 + 5}{4} \) = \( \frac{28}{4} \) = 7