Answer:
x = 8
Step-by-step explanation:
-4x + 6(6 - 2x) = -7x - 36
-4x + 36 - 12x = -7x - 36
-16x + 36 = -7x - 36
<u> +36 +36</u>
-16x + 72 = -7x
<u>+16x +16x</u>
72 = 9x
divide by 9
<u><em>x = 8</em></u>
a) As the constants are equal, the situation represents a proportional relationship.
b) The constant of 2/3 cupcakes per minute means that in a minute, 2/3 of a cupcake is made.
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the constants for each situation are:
k = 30/45 = (30/15)/(45/15) = 2/3 = 20/30.
Since the constants are equal, the situation represents a proportional relationship.
The constant of 2/3 cupcakes per minute means that in a minute, 2/3 of a cupcake is made.
More can be learned about proportional relationships at brainly.com/question/10424180
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Answer:
x=63
Step-by-step explanation:
The two interior angles add up the the exterior angle, so 51+x+12=2x. From there, solve to get x=63. Hope this helped!
Answer:x=17
Step-by-step explanation:
Set 6x+5+5x-12 equal to 180
Simplify into 11x-7=180
Add 7 to both sides to get 11x=187
Divide both sides by 11 to get x=17
300 minutes equals five hours.
