A. $25
The explanation would be because 365-105=206 and then double 105 which would be 210 and then subtract that from 206 which would be 50 then divide that by 2 and you would get 25
Width = x
Length = x+18
Assuming the table is rectangular:
Area = x(x + 18)
Therefore:
x(x + 18) <span>≤ 175
x^2 + 18x </span><span>≤ 175
Using completing the square method:
x^2 + 18x + 81 </span><span>≤ 175 + 81
(x + 9)^2 </span><span>≤ 256
|x + 9| </span><span>≤ sqrt(256)
|x + 9| </span><span>≤ +-16
-16 </span>≤ x + 9 <span>≤ 16
</span>-16 - 9 ≤ x <span>≤ 16 - 9
</span>-25 ≤ x <span>≤ 7
</span><span>
But x > 0 (there are no negative measurements):
</span><span>
Therefore, the interval 0 < x </span><span>≤ 7 represents the possible widths.</span><span>
</span>
Answer:
48
Step-by-step explanation:
The total number of ratio units is 3+2 = 5, and the 3 ratio units representing large bandages make up 3/5 of that total. Thus, large bandages will make up 3/5 of the total number of bandages:
3/5×80 = 48 . . . . number of large bandages in the kit
280 eels
92 + 56 + 52 = 200
eel = 56/200
56 *5 x
----- = --------
200 *5 1000
56(5) = 280 x = 280
56/200 = 7/25
7/25 = 280/1000
Answer:
<em>1 and -4</em>
Step-by-step explanation:
<em>The vertical asymptote of a function is gotten by equating the denominator of such function to zero.</em>
Given
f(x) = 4x+8/x^2+3x-4
The vertical asymptotes is expressed as;
x^2+3x-4 = 0
Factorize
x^2+4x-x-4 = 0
x(x+4) -1 (x+4) = 0
(x-1)(x+4) = 0
x-1 = 0 and x+4 = 0
x = 1 and x = -4
<em>Hence the vertical asymptotes of the function are 1 and -4</em>
