A ratio stays equivalent when you multiply or divide the same thing to both numbers, just like fractions:
First of all, you can simplify it to
3:4 by dividing both numbers by 5.
Now you can multiply both numbers by 5 to get 75:100
Finally, you can multiply both numbers by 3 to get the ratio 45:60
Answer: B
Step-by-step explanation:
Let's work this problem backwards. So, if he has y dollars left after spending 25% the second time or 3/4 of the money left. So, inverse it to get 
y. Then, do the same for 20% or 4/5, then 4/3y * 5/4 = 5/3y
Answer:
x = 3/2 or x = -5/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 2 x - 15 = 0
Using the quadratic formula, solve for x.
x = (2 ± sqrt((-2)^2 - 4×8 (-15)))/(2×8) = (2 ± sqrt(4 + 480))/16 = (2 ± sqrt(484))/16:
x = (2 + sqrt(484))/16 or x = (2 - sqrt(484))/16
Simplify radicals.
sqrt(484) = sqrt(4×121) = sqrt(2^2×11^2) = 2×11 = 22:
x = (2 + 22)/16 or x = (2 - 22)/16
Evaluate (2 + 22)/16.
(2 + 22)/16 = 24/16 = 3/2:
x = 3/2 or x = (2 - 22)/16
Evaluate (2 - 22)/16.
(2 - 22)/16 = -20/16 = -5/4:
Answer: x = 3/2 or x = -5/4
Answer:
The distance from point A to given line is: 2√5 or 4.472 units
Step-by-step explanation:
Given equation of line is:
And the point is:
The standard form of equation of line is:
Converting the given equation into standard form
The distance of a point (x1,y1) from a line is given by the formula:
In the given details,
A = -1, B = 2, C = -14
x1 = -14, y1 = 5
Putting the values in the formula
Hence,
The distance from point A to given line is: 2√5 or 4.472 units
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