Answer:
The length of the board is 60 inches. It's cut into two parts so that the longer piece is 5 times of the shorter part. The equation is formed as under...
Let's assume the shorter part is … x then the longer part is... 5x. The total parts are..
x + 5x = 6x and given that 6x is equal to 60 inches. Therefore...
If 6x = 60 inches then
x = 60/6 = 10 inches and the longer piece is 5x = 5.10 = 50 inches.
The shorter piece is 10 inches long and the length of the longer piece is 50 inches. Answer. Thanks.
Step-by-step explanation:
not sure
Answer:
x = -2, y = -4, or (-2, -4).
Step-by-step explanation:
5x + y = -14
5x - 3y = 2
If we look at the first equation, we can see that y can be easily isolated.
5x + y = -14
Subtract 5x from both sides.
y = -5x - 14
Now we have a variable that we can plug into the second equation.
5x - 3y = 2
5x - 3(-5x - 14) = 2
Distribute the -3 across each term in the parentheses.
5x + 15x + 42 = 2
Combine like terms.
20x + 42 = 2
Subtract 42 from both sides.
20x = -40
Divide both sides by 20 to isolate x.
x = -2
Plug in x = -2 back into one of the equations to find y.
y = -5x - 14
y = -5(-2) - 14
Multiply.
y = 10 - 14
Subtract.
y = -4
Our solution is x = -2, y = -4, or (-2, -4).
Check your answer by plugging both values into one of the equations.
5x - 3y = 2
5(-2) - 3(-4) = 2
-10 + 12 = 2
2 = 2
Your answer is correct.
Hope this helps!
Solution
The sequence is an Arithmetic sequence.
Here the 1st term = -13
An = A(n-1) + 4
Therefore, the common difference (d) = 4
2nd term = first term + common difference
2nd term = -13 + 4 = -9
The answer is -9.
Answer and Step-by-step explanation:
a. The strings {a, b, c} with at least one a and at least one b.
Solution: ∑ = {a, b, c}
where
(a +b +c)(a (a +b +c)*b + b (a +b +c) a (a +b +c)*
b. The set of 0’s and 1’s string whose tenth symbol from the right end is 1.
Sol: (0+1)*1(0+1)9
c. The set of 0’s and 1’s string with at most one pair of consecutive 1’s.
sol: (0+10)(11+∑)(0+10)
