Answer:
x = -7
Step-by-step explanation:
Simplifying
5x + 130 = 8x + 151
Reorder the terms:
130 + 5x = 8x + 151
Reorder the terms:
130 + 5x = 151 + 8x
Solving
130 + 5x = 151 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
130 + 5x + -8x = 151 + 8x + -8x
Combine like terms: 5x + -8x = -3x
130 + -3x = 151 + 8x + -8x
Combine like terms: 8x + -8x = 0
130 + -3x = 151 + 0
130 + -3x = 151
Add '-130' to each side of the equation.
130 + -130 + -3x = 151 + -130
Combine like terms: 130 + -130 = 0
0 + -3x = 151 + -130
-3x = 151 + -130
Combine like terms: 151 + -130 = 21
-3x = 21
Divide each side by '-3'.
x = -7
Simplifying
Answer:
m = -8
b = -24
Step-by-step explanation:
To solve this problem use the hint and put this equation in y = mx + b form. This is called slope-intercept form.
In slope-intercept form, the coefficient of x (which is m) is the slope of the line and b is the y-intercept of the line.
Add 32x to both sides of the equation.
Divide both sides of the equation by -4.
Comparing this to y = mx + b, the -8 is "m" and -24 is "b". Therefore your final answers are:
m = -8
b = -24
Answer:
Each tulip costs $1.50
Step-by-step explanation:
First, write an equation using the numbers given. It should look like this:
2.25(8) + 5x = 25.50
Next, multiply 2.25 by 8 to get: 18 + 5x = 25.50. Then, subtract 18 from both sides:
18 + 5x = 25.50
-18 -18
5x = 7.50
Finally, divide both sides of the equation by 5 to get $1.50
So, each tulip costs $1.50. Hope this helped!
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Answer:
x <u>></u> 15
Step-by-step explanation:
4(x + 15) <u>></u> 120
Divide by 4
x + 15 <u>></u> 30
Subtract 15
x <u>></u> 15
