Answer:
7,071
Step-by-step explanation:
Match each system of equations with its number of solutions
Answer:
1st: 0 solutions
2nd: infinitely many solutions
3rd: 1 solution
Step-by-step explanation:
1st: add both equations and the result is 0 = 4 ⇒ inconsistent, no solution
2nd: add both equations and the result is 0 = 0 ⇒ it's true, for all x and y values
3rd: add both equations and obtain: 16x = 32 ⇒ x = 2,
then if you want to obtain y, replace x in any of both equations.
Conclusion is that only 1 solution (x = 2 and a unnique value for y) is obtained.
What is the fifth number in this sequence?
Answer:
103
Step-by-step explanation:
99+100+101+102+103=505
5x -3 < -3
Answer: James had his gym membership for approximately 9 months.
Step-by-step explanation: To determine the number of months, m, James had his membership, we can set up an equation based on the given information.
The total cost of James' gym membership consists of two parts: the sign-up fee of $50 and the monthly fee of $65 multiplied by the number of months, m.
Therefore, the equation is:
Total cost = Sign-up fee + Monthly fee * Number of months
In this case, the total cost is $635, the sign-up fee is $50, and the monthly fee is $65. We want to find the number of months, which we will represent as m.
Plugging in the values, the equation becomes:
635 = 50 + 65m
Simplifying further:
635 - 50 = 65m
585 = 65m
To solve for m, we can divide both sides of the equation by 65:
m = 585 / 65
Calculating this division, we find:
m ≈ 9