4/(x+1) = 3/x + 1/15
Should we make common denominators with everything, we get
4*15*x / [15x(x+1)] = 3*15*(x+1)/[15x(x+1)] + x(x+1)/[15x(x+1)]
Multiply both sides of the equation by the denominator to cancel them
60x = 45(x+1) + x(x+1)
60x = 45x + 45 + x^2 + x
x^2 - 14x + 45 = 0
(x-9)(x-5) = 0
The answer to this question is that the solutions are x=9 and x=5.
Answer:
Area of the garden:
Explanation:
Given the below parameters;
Length of the rectangle(l) = 23 ft
Width of the rectangle(w) = 14 ft
Value of pi = 3.14
Since the width of the rectangle is 14 ft, so the diameter(d) of the semicircle is also 14 ft.
The radius(r) of the semicircle will now be;
Let's now go ahead and determine the area of the semicircle using the below formula;
Let's also determine the area of the rectangle;
We can now determine the area of the garden by adding the area of the semicircle and that of the rectangle together;
Therefore, the area of the garden is 398.93 ft^2
Answer: 486.60
Step-by-step explanation:
8. D: The <em>longest sides of the quadrilaterals are 30 and 10</em>. That is a 30 : 10 ratio, which simplifies to <em>3 : 1, or </em>3/1. It's not 1 : 3 because it is the ratio between the large (comes first) to the small (comes second) figure.
9. B: <em>x corresponds to 26</em>, and from the previous problem, we figured out that <em>the sides of the larger figure are 3 times larger than the corresponding one on the smaller one</em>. So <em>x is 1/3 the length of 26</em>, which is 26/3.
Answer:
$145.5
Step-by-step explanation:
Period, t = August 8.to November 8 = 3 months
Simple interest formula :
A = P(1 + rt)
A = final amount =. 7200
7200 = P(1 + (0.0825 * 3/12))
7200 = P(1 + 0.020625)
7200 = P(1.020625)
7200 = 1.020625P
P = 7200 / 1.020625
P = 7054.5009
Bank discount :
A - P
7200 - 7054.5009
= $145.4991
= $145.5
