Answer:
Sue traveled 1,685 miles.
Step-by-step explanation:
337 x 5
(300 x 5) + (30 x 5) + (7 x 5)
1,500 + 150 + 35
1,650 +35
1,685
The opposite of East is West.
The opposite of South is North.
He would need to fly North West
$37.25 must be payed for the total time of 115 minutes.
<u>Step-by-step explanation:</u>
- The cost for 1st 45 minutes = $12.75
- The cost per minute for additional 2 hours = $0.35
- The cost per minute for additional time after 2 hours = $0.25
x be the total time spent in minutes,
It is given that the total time spent, x = 115 minutes.
<u>To find the cost to pay for 115 minutes :</u>
The first 45 minutes out of 115 minutes should be payed $12.75
Therefore, the remaining minutes is 115 - 45 = 70 minutes.
The additional 2 hours (120 minutes) should be payed $0.35 per minutes.
But, in this case the additional time is only 70 minutes.
⇒ 70 × 0.35
⇒ $24.5
The total amount to be payed for 115 minutes = $12.75 + $24.5
⇒ $37.25
<u>Define x:</u>
Let x be the width of the border
Length of the rug = 15 -2x
Width of the rug = 12 -2x
Area of the rug = (15 - 2x)(12 - 2x)
<u>Construct equation:
</u>
Given that the area of the rug os 108 ft²
(15 - 2x)(12 - 2x) = 108
Apply distributive property:
180 - 20x - 24x + 4x² = 108
Collect all terms on the left hand side:
4x² - 44x + 72 = 0
Factorise:
x² - 11x + 18 = 0
<span> (x - 2) (x - 9)
Apply zero product property:
x = 2 or x = 9
<u>Check x:
</u>
When x = 9,
Width = 12 - 9 - 9 = -6
</span>⇒ <span>x = 9 is rejected since width cannot be negative
When x = 2
Length = 15 - 2 - 2 = 11 ft
Width = 12 - 2 - 2 = 8 ft
Answer: The border is 2 feet wide.
</span>
Answer:
0.98
Step-by-step explanation:
13.04-12.06=0.98