Answer:
The answer to your question is 14.5 weeks
Step-by-step explanation:
Data
Total cost = C = $87
money earned = m = $6
Number of weeks to have the money = w = ?
Process
1.- Write an equation that represents the situation
Weeks = Total cost / Money earned
w = C/m
2.- Substitute the values
w = 87 / 6
3.- Result
w = 14.5
4.- Conclusion
Niki will last 14.5 weeks to have enough money to buy a dog bed.
You always start by simplifying.
6b-49=2<span>(</span>b-3) becomes 6b-49=2b-6
From there you can group the b's together by subtracting 2b from both sides, leaving you with 4b-49=-6
Now you can get the b's alone by adding 49 (to cancel out -49) to both sides, giving you 4b=43, You're still trying to get b by itself, so what you'll do is divide both sides by 4, giving you b=10.75
Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
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Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
