Answer:
x= 7.5 mile/h
y= 3.5 miles / h
Step-by-step explanation:
Given x and y
so, x+y = speed down river
and x-y= speed up river
using
travel time = distance / speed for each case;
we get;
22/x+y=2 ---(1)
and
22/x-y=5.5 -----(2)
Solving equations simultaneously
eq 1 gives
2x+2y=22 ---(3)
eq 2 gives
5.5x-5.5y=22 ----(4)
Multiply eq 3 by 2.75
==> 5.5x+5.5y=60.5 --- (5)
adding eq 4 with eq 5
==> 11x =82.5
==> x= 7.5 miles/h
put this value in eq 3
==> 2(7.5)+2y=22
==> 2y=22-19.8
==> 2y=7
==> y = 3.5
Answer:
This is so easy
Let me explain:
first lets find out (f+g)(x)=-x+3x+5+x^2+2x=
x^2+4x+5 this is the equation of a parabola because we have x^2
so only the first graph shows us a parabola
which remains the right one.
Answer:
A
Step-by-step explanation:
I'm going to show you a little secret. It's called symbolab.com. You can solve almost any algebraic problem. It also gives a step by step explanation
Answer
<em>length = width + 15</em>
<em>Area = length * width; area is 54 square feet.</em>
<em>Two equations are:</em>
<em>L = W + 15</em>
<em>L * W = 54</em>
<em>To solve, we substitute first equation into second equation:</em>
<em>(W + 15) * W = 54</em>
<em>w^2 + 15w = 54</em>
<em>w^2 + 15w - 54 = 0</em>
<em>(w+18)(w-3) = 0</em>
<em>w = -18 or 3</em>
<em>The width cannot be negative, so 3 is the width and since length is 15 more than width, length is 18:</em>
<em />
<em>Length = 18 feet</em>
<em>Width = 3 feet</em>
<em />
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Answer:
108 bottles
Step-by-step explanation:
the total is 4.536 oz of vitamin pills
each bottle can accomodate 0.042 oz of vitamin pills
to know the quantity of each bottle
we calculate
0.042 oz of vitamin pills = 1 bottle
4.536 oz of vitamin pills = (4.536 x 1)/0.042=108
so therefore 4.536 oz of vitamin pills will accomodate 108 bottles
