8n+3+9n+7=180
17n+10=180
17n=170
Answer
N=10
Answer:Justin plans to spend $20 on sports cards. Regular cards cost $3.50 per pack and foil cards cost $4.50 per pack
number of packs of regular cards =r and the number of packs of foll cards = f
Cost of Regular card = 3.50
Cost of 'r' packs of regular card = 3.50r
Cost of Foil card = 4.50
Cost of 'f' packs of Foil card = 4.50f
Justin plans to spend $20 on sports cards so the sum of cost of regular and Foil cards should be less than or equal to 20
The inequality becomes
3.50r + 4.50f <= 20
Answer:
n = -6
x = -7
n = 27
Step-by-step explanation:
Question 1
-3n - n + 12 = 36
First we get all the variables to one side using subtraction property of equality.
-3n - n + 12 (-12) = 36 (-12)
-4n = 24
divide by the coefficient of n to isolate the variable
-4n/-4 = 24/-4
n = -6
Question 2
-2x - 3x - 15 = 20
-5x - 15 = 20
-5x = 35
x = -7
Question 3
3 + n/9 = 6
Isolate the n variable
n/9 = 6 - 3
multiply by 9
n = 27
Answer: x = 6
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Explanation:
The medians of a triangle meet up at the centroid in such a way that they cut each other at a ratio of 2:1, meaning that one part of the median is twice as long as the other. In this case, MO is two times longer than OP, so,
OP = 2*MO
and
MP = MO + OP
MP = MO + 2*MO .... replace OP with 2*MO
MP = 3*MO
9x-24 = 3*(x+4) ... plug in the given expressions
9x-24 = 3x+12
9x-3x = 12+24
6x = 36
x = 36/6
x = 6
