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e-lub [12.9K]
3 years ago
13

Find each percent decrease. Round to the nearest percent. From 20 miles to 11 miles

Mathematics
2 answers:
Ahat [919]3 years ago
7 0
The answer is 45%. The miles went down 9 miles, so you do 9/20, or 45%
hjlf3 years ago
4 0
First we should find the percent that this number of miles are currently at:
20n = 11
n = 11/20
n = 0.55
1 - 0.55 = 0.45
A 45% decrease
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How many solutions are there for the system x^2+4y^2=100 and 4y-x^2=-20
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There are 5 solutions for this system.

x^2 + 4y^2 = 100  ____1
4y - x^2 = -20  ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80   (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
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Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2    x = /100 - 4y^2  (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
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Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
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