The easiest way to solve this comparison without any unusual comparisons is to find a common denominator for the two fractions.
2/5 = 18/45
4/9 = 20/45
Since 20/45 is bigger than 18/45, we know that 4/9 is greater than 2/5
Answer:
-3,-1 so a
Step-by-step explanation:
Answer:
x = -5
Step-by-step explanation:
g(x) = -3x+1
g(x) = -3(-5) + 1
g(x) = 15 + 1
g(x) = 16
Answer:
The first increase was of 60%.
Step-by-step explanation:
The initial value of the product is x.
The first increase was of y.
The second increase is of 25%, that is, 1.25.
The final price was double the original, so 2x.
This situation can be modeled by the following equation:

We want to find y.
Simplifying by x



After the first increase, the value was 1.6 of the original value, that is a increase as a percent of (1.6 - 1)*100 = 60%.
The length of PR is 4.4 units.
Explanation:
It is given that the length of the hypotenuse is 10 units.
Also, the angle of R is 64°
To find the length of PR, we shall use the cosine formula,

Here,
, adj = PR and hyp = 10
Substituting these values in the formula, we get,

Multiplying both sides by 10, we get,

Substituting the value for cos 64, we get,

Multiplying, we have,

Rounding off, we get,

Thus, the length of PR is 4.4 units.