31-2=29 you add 2 to both sides so -2 cancels and you are left with X=31
the answer is 31
Answer:
very easy 65inches
Step-by-step explanation:
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Answer:
Will's age = 9 years
Bill's age = 11years
Step-by-step explanation:
Let will age = x
Bill = x +2 since he is 2 years older
x(x+2) = 5( x +x+2) - 1
Opening brackets
x² + 2x = 5(2x + 2) - 1
x² + 2x = 10x + 10 - 1
x² + 2x = 10x + 9
Collect like terms
x² + 2x - 10x - 9 = 0
x² - 8x - 9 = 0
Solve quadratically using factorisation method by finding two factors of +9 that can add up to give -8, the coefficient of x.
The factors are -9 and +1
x² + x - 9x - 9 = 0
x(x + 1) -9( x +1)
x+1) (x -9) =0
x + 1 = 0 or x -9 =0
x = -1 or 9
Age can not be negative
Therefore,
Will's age = 9 years
Bill's age = x+2 = 9+2 = 11years
I hope this was helpful, please rate as brainliest
7 - 7(x - 7) > -4 + 5x
7 - 7x + 49 > -4 + 5x
56 - 7x > -4 + 5x
-7x - 5x > -4 - 56
-12x > -60
x < -60/-12
x < 5
Remark
The easiest way to graph this is to get a program to do it for you. Desmos is ideal.
Problem 7a
The graph is down below the rest of the answer. 5x + 2y = 150
<u>x and y intercepts.</u>
The x intercept is marked as 30. That was derived by letting y = 0 to get
5x = 150 divide by 5
x = 150 / 5
x = 30
So if you buy NO wristbands, you can get 30 keychains
The y intercept occurs when x = 0
2y = 150 Divide by 2
y = 150 / 2
y = 75 That means if you buy NO keychains, you can buy 75 wrist bands.
Problem 7b
For this problem x = 18
5*18 + 2y = 150
90 + 2y = 150 Subtract 90 from both sides.
2y = 150 - 90
2y = 60 Divide by 2
y = 60/2
y = 30
Conclusion
You can buy 18 key chains (given)
You can buy 30 wristbands (calculated)