Answer: 2x + 40 = 150
Step-by-step explanation:
Jane has 150 feet of fencing. 40 feet will go for the portion opposite the house, The remaining fencing will go for the two sides of equal length x. That makes 2x for both. So:
<u>2x + 40 = 150</u>
[x = 55 feet]
Answer: 39.25 miles per gallon.
Step-by-step explanation: To find miles per gallon, divide 314 miles by 8 gallons =
39.25 miles per gallon.
Answer:
26,400 feet is 5 miles, so 5,280 fph.
Step-by-step explanation:
1 foot is equal to 0.000164 mile.
If you need an explanation, let me know. Hope this helps!!
Answer: B
<u>Step-by-step explanation:</u>
x³ - 3x² + 16x - 48 = 0
→ x²(x - 3) + 16(x - 3) = 0
→ (x² + 16) (x - 3) = 0
→ (x² - (-16)) (x - 3) = 0
→ (x - 4i)(x + 4i)(x - 3) = 0
→ x - 4i = 0 x + 4i = 0 x - 3 = 0
→ x = 4i x = -4i x = 3
2 imaginary roots and 1 real root
Answer:
The original price is $650
Step-by-step explanation:
There's an actual algebra method for this, but this is my method because I find it way easier to remember.
Since the most you can discount out of an item is 100% (well, it's considered free then) let's subtract 100 - 34, which is 66.
Now, turn it into a decimal because it makes the numbers easier- 0.66.
Since when you're finding the discount of an original price, you multiply the original price by the discount- instead for finding the original price for a discounted item we divide $429 by 0.66 instead, since when you divide a number by another number that's under 1 the quotient is a larger number.
So, 429 ÷ 0.66 = 650.
Therefore, the original price of the $429 sale price for a 34% discount is $650.