X= 10
~because~
2x+5=8x, subtract 2x from both sides:
5=6x, divide 6 on both sides:
x=5/6, then rewrite the equation:
12(5/6)
x=10
Converting all values to decimal, we have
1/5 = 0.2
19% - 19/100 = 0.19
Therefore the snack that contains 19% has the least amount of calories from fat.
Let x = the length of the rectangle
Let w= the width
Two sections are required, hence 2w of fence required
2x+3w=500
this can be written as:
3w=1500-2x
w=(1500-2x)/3
Area=x*w
replacing w with our expression:
A=x(1500-2x)/3
A=(500x-2x^2)/3
This is a quadratic equation, if we find the axis of symmetry we will know what value of x gives maximum area:
Axis of symmetry: x=-b/2a
From our equation we get:
a=-2/3; b=1500/3
thus
x=(1500/3)/(-(-2/3))
x=750
thus the maximum area will be given by length of 750
Answer:
yes, it is possible to have the sum of square roots equal the square root of the sum of the radicands.
If either a or b equals zero, then the sums would be the same.
Since the square root of 0 is 0, adding it to a given radical would not change the radical. Also adding zero to the radicand would not change its value.
these are the right answer for E2020