Answer:
<h2>y = 2.8</h2><h2>x = 14</h2>
Step-by-step explanation:
To solve an equation, we can only have one variable. In this case, we are given the system 2x = 5y + 14. However, we are given the value of x in terms of y. We can substitute 10y in for 2x and solve.
10y = 5y + 14
First, we need to get all the variables on one side of the equation, so we subtract 5y.
5y = 14
Divide by 5
y = 14/5 or 2 4/5 or 2.8
Now for the x part.
2x = x + 14
Subtract 1x
x = 14
Now we check our answer.
2(14) = 5(2.8) + 14
28 = 14 + 14
28 = 28
Because 28 equals 28, our solutions are correct.
Answer:
90, there are 32 ninetys in 32 X 90 and there are 33 ninetys in 33 X 90, meaning there is one more 90 in 33 X 90 than 32 X 90
Answer:
If
is divisible by 3, the n is also divisible by 3.
Step-by-step explanation:
We will prove this with the help of contrapositive that is we prove that if n is not divisible by 3, then,
is not divisible by 3.
Let n not be divisible by 3. Then
can be written in the form of fraction
, where x and y are co-prime to each other or in other words the fraction is in lowest form.
Now, squaring

Thus,


It can be clearly seen that the fraction
is in lowest form.
Hence,
is not divisible by 3.
Thus, by contrapositivity if
is divisible by 3, the n is also divisible by 3.
Answer:
Area = 16.8 * 7 / 2 = 58.8 ft2
Step-by-step explanation:
Have
18.2^2 = 7^2 + a^2
-> a^2 = 18.2^2 - 7^2
-> a^2 = 282.24
-> a = 16.8
Area = 16.8 * 7 / 2 = 58.8 ft2
Answer:
A.
Step-by-step explanation: