Answer:
225 inches²
Step-by-step explanation:
Let the length be l and width be w
Condition 1
2l+2w=68 (Perimeter=68)--------(i)
Condition 2
l=3w-2 ---------(ii)
Putting equation (ii) in (i)
2(3w-2)+2w=68
6w-4+2w=68
8w-4=68
8w=68+4
8w=72
dividing both sides by 8
w=9 inches
now putting w=9 in (ii)
l=3(9)-2
l=27-2
l=25 inches
Now
Area of rectangle = l × w
=9 × 25
=225 inches²
Let <em>s</em> be the plane's speed in still air and <em>w</em> the wind speed. Then
<em>s</em> - <em>w</em> = (6060 km)/(6 h) = 1010 km/h
<em>s</em> + <em>w</em> = (12,150 km)/(9 h) = 1350 km/h
Adding these equations together eliminates <em>w</em> and lets you solve for <em>s</em> :
(<em>s</em> - <em>w</em>) + (<em>s</em> + <em>w</em>) = 1010 km/h + 1350 km/h
2<em>s</em> = 2360 km/h
<em>s</em> = 1180 km/h
Answer:
5/8
Step-by-step explanation:
The sectors are labeled 1,2,3,4,5,6,7,8
Numbers less than 4: 1,2,3
Multiples of 4: 4,8
We are looking for 1,2,3,4,8 = 5 choices
P (1,2,3,4,8) = Number of choices/ total
= 5/8
Answer:
B. The variable s represents the number of students in each class.
C. The coefficient 14 represents the number of classes in the 9th grade.
Step-by-step explanation:
The total number can be found by multiplying the number of the things with the number of people producing it. For example if 5 boys make 5 colored ropes the total number of ropes will be 5*5= 25.
In this question the combinations rule is used for variuos number of classes which are 14. Now we have to find the number of students which are s (s-1). Suppose s= 6 so the number of students would be 6(6-1) = 6(5) = 30
We will multiply the number of classes 14 with the number of students s(s-1) to get the total number of cards produced.
Answer:
d
Step-by-step explanation:
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