Answer: 1,000
Step-by-step explanation: Well <em>percent</em> means over 100 so we know that 4% means the same thing as 4/100. <em>Of</em> means <em>times</em>, <em>what number</em> means <em>x</em>, <em>is</em> means equals, and <em>40 </em>means <em>40</em>.
So we have the equation 4/100 · x = 40.
Notice that 4/100 can be reduced to 1/25.
So rewriting our problem we have x/25 = 40.
To get rid of the fraction, we multiply both sides of the equation by 25 and we have x = 1,000.
Now let's check our answer back in the
original problem to see if it makes sense.
We have <em>4% of 1,000 is 40</em>.
Well we know that 100% of 1,000 would be 1,000 so 4% of 1,000 should be alot less than 1,000 so 40 seems to make sense.
I have also attached my own work in the image provided.
Answer:
Area covered by the fences will be 16.1 unit²
Step-by-step explanation:
Let the first parabola is represented by the function f(x) = 6x²
and second parabola by g(x) = x² + 9
point of intersection of the graphs will be determined when f(x) = g(x)
6x² = x² + 9
5x² = 9
x² = 1.8
x = ± 1.34
Now we will find the area between these curves drawn on the graph.
Area =
=
=
=
=
= 16.1 unit²
