Cost of two tickets that Sheila paid to her friend = $ 90
Actual price of 1 ticket = $ 52.50
So, actual price of 2 tickets = 52 x 2 = 105
Hence, markdown or discount Sheila's friend gave her is =
105 - 90 = 15
The answer is $15.
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Answer Is In Image Provided.
Answer:
Step-by-step explanation:
Let the speed in the morning be s, then in the evening it is s - 4
<u>The distance is equal both directions:</u>
- 45 min *s = 1 hr 10 min *(s - 4)
<u>Time in hours:</u>
- 45*1/60*s = (1 + 10*1/60)(s - 4)
- 3/4s = 7/6s - 7/6*4
<u>Multiply all terms by 12 to clear fraction:</u>
- 9s = 14s - 56
- 5s = 56
- s = 56/5
- s= 11.2 mph
<u>The distance is:</u>
- 3/4*11.2 = 0.75*11.2 = 8.4 miles
Answer:
The equivalent factored form of this equation is (x² + 49)(x - 6)
Step-by-step explanation:
<em>x³ - 6x² + 49x - 294</em>
First, group the first and second terms together and group the last two terms together.
<em>(x³ - 6x²) + (49x - 294)</em>
Find the greatest common factor of both parentheses and factor them.
x²(x - 6) + 49(x - 6)
Now, since the two terms in the parentheses are the same, then we have factored the equation correctly.
So, the factored form of the equation is (x² + 49)(x - 6)
