Answer:
idk
Step-by-step explanation:idk
Answer:
12
Step-by-step explanation:
The first cave has 7 times more bats than the last cave. So if the 45th cave has b bats, then the first cave has 7b bats.
There are 77 bats in every row of 7 caves. So if there are 7b bats in the first cave, then there are 77−7b bats in caves 2 through 7.
Since there are also 77 bats in caves 2 through 8, that means cave #8 must have 7b bats. Repeating this logic:
#1 = 7b
#2-#7 = 77−7b
#8 = 7b
#9-#14 = 77−7b
#15 = 7b
#16-21 = 77−7b
#22 = 7b
#23-28 = 77−7b
#29 = 7b
So the first 29 caves have 5(7b) + 4(77−7b) = 308 + 7b bats.
Now we do the same thing from the other end. If cave #45 has b bats, then caves #39-#44 have 77−b bats. And since caves #38-44 have 77 bats, then cave #38 has b bats. Therefore:
#45 = b
#39-44 = 77−b
#38 = b
#32-37 = 77−b
#31 = b
So caves 31 through 45 have 3b + 2(77−b) = 154 + b bats.
Adding that to the first 29 caves, plus x number of bats in cave #30:
308 + 7b + x + 154 + b = 462 + 8b + x
We know this equals 490.
490 = 462 + 8b + x
28 = 8b + x
x is a maximum when b is a minimum, which is b = 2.
28 = 8(2) + x
x = 12
There are at most 12 bats in the 30th cave.
Answer:
x=5
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
The box is a right angle which is 90 degrees
60+6x+90 = 180
Combine like terms
150+6x= 180
Subtract 150 from each side
150-150+6x = 180-150
6x = 30
Divide by 6
6x/6 =30/6
x = 5
X=4 because you combine 2+4 and subtract -6 then divide
Answer:
The length of the rectangle (l) = 3 feet
The width of the rectangle (W) = 10 feet
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given that the width of the rectangle = (x+1) feet</em>
<em>Given that the length of the rectangle = ( x-6) feet</em>
<em>The area of the rectangle = 30 square feet</em>
<u><em>Step(ii):-</em></u>
We know that the area of the rectangle
= length ×width
30 = ( x+1)(x-6)
30 = x² - 6x + x -6
⇒ x² - 5 x - 6 = 30
⇒ x² - 5 x - 6 - 30 =0
⇒ x² - 5 x - 36 =0
x² - 9 x +4x - 36 =0
x (x-9) +4 ( x-9) =0
( x+4 ) ( x-9) =0
( x+4 ) =0 and ( x-9) =0
x =-4 and x =9
<u><em>Step(iii):-</em></u>
we have to choose x =9
The length of the rectangle (l) = x-6 = 9-6 =3
The width of the rectangle (W) = x+1 = 9 +1 = 10
<u><em>Final answer:-</em></u>
The length of the rectangle (l) = 3 feet
The width of the rectangle (W) = 10 feet