0.14 can be converted to 14/100, which can be simplified to 7/50. (by dividing both sides of the fraction by 2 to simplify it.)
Answer: A
Step-by-step explanation:
The contrapositive of a statement is logically equivalent to the original statement.
Answer:
= 
Step-by-step explanation:
In this case in order to simplify we need to know what the "power rule of exponents" is. Simply speaking this rule states that when you raise a power to a power you multiply the exponents. So in our case we ill get the following
= 
In order to get 42 we used the power rule which I mentioned earlier.
Answer:
5.714 liters of the 5% solution and 4.286 of the 40%.
Step-by-step explanation:
Let x be the volume of 40% solution and y = volume of the 5% solution.
x + y = 10
0.40x + 0.05y = 0.20(x + y)
From the first equation x = 10 -y so we have:
0.40(10 - y) + 0.05y = 0.20( 10 - y + y)
4 - 0.40y + 0.05y = 2
-0.35y = -2
y = 5.714 liters of the 5%.
and x = 10 - 5.714 = 4.286 liters of the 40% solution.
Step-by-step explanation:
Answer:
Circle 1=6x+2y
Rectangle 4 = 3x+y
Circle 4 = 5x
Step-by-step explanation:
4x+3y and 2x-y can be added to find result for the circle.
Let C1 represent circle 1
4x+3y+2x-y=C1\\
Combining\:like\:terms\\
4x+2x+3y-y=C1
6x+2y=C1
So, The result is: C1=6x+2y
Now, We need to solve:
Let R1 represent rectangle 4
x+4y + R1 = 4x+5y
R1=4x+5y-(x+4y)
R1=4x+5y-x-4y
R1=4x-x+5y-4y
R1=3x+y
So, Solving x+4y + R1 = 4x+5y, We get R1 = 3x+y
Now, We need to solve the equation:
Let C4= Circle 4
2x-y+3x+y=C4
Combining the like terms
2x+3x-y+y=C4
5x=C4
So, Solving 2x-y+3x+y=C4 we get C4 = 5x