Answer:
C = -4
Step-by-step explanation:
First, combine like terms (terms with the same amount of variables):
14 = -2C - 3C - 6
14 = (-2C - 3C) - 6
14 = (-5C) - 6
Isolate the variable, C. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and equals:
Parenthesis
Exponents & Roots
Multiplication
Division
Addition
Subtraction.
First, add 6 to both sides:
14 (+6) = -5C - 6 (+6)
14 + 6 = -5C
-5C = 20
Next, divide -5 from both sides:
(-5C)/-5 = (20)/-5
C = 20/-5
C = -4
-4 is your value for C.
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Answer:
12. 11/18-1/6=4/9
13. 2/7+2/5=24/35
14. 3/4-3/10=9/20
Step-by-step explanation:
12. 11/18-1/6
11/18-1/6=11/18-(1/6)*(3/3)
11/18-1/6=11/18-(1*3)/(6*3)
11/18-1/6=11/18-3/18
11/18-1/6=(11-3)/18
11/18-1/6=8/18
Dividing the numerator and denominator of the fraction on the right side of the equation by 2:
11/18-1/6=(8/2)/(18/2)
11/18-1/6=4/9
13. 2/7+2/5
2/7+2/5=(2/7)*(5/5)+(2/5)*(7/7)
2/7+2/5=(2*5)/(7*5)+(2*7)/(5*7)
2/7+2/5=10/35+14/35
2/7+2/5=(10+14)/35
2/7+2/5=24/35
14. 3/4-3/10
3/4-3/10=(3/4)*(5/5)-(3/10)*(2/2)
3/4-3/10=(3*5)/(4*5)-(3*2)/(10*2)
3/4-3/10=15/20-6/20
3/4-3/10=(15-6)/20
3/4-3/10=9/20
Answer:
432
Step-by-step explanation:
Answer: There are 60 girls and 40 boys at the bar-b-que
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Explanation:
b = number of boys
g = number of girls
"The ratio of boys to girls is 4:6" so
b = 4*x
g = 6*x
where x is some positive whole number
Add up the counts of boys and girls. This count should equal 100
b+g = 100
Plug in b = 4x and g = 6x. Then solve for x
b+g = 100
4x+6x = 100
10x = 100
10x/10 = 100/10 ... divide both sides by 10
x = 10
If x = 10, then
b = 4*x = 4*10 = 40 ---> there are 40 boys
g = 6*x = 6*10 = 60 ---> there are 60 girls
we can see that the ratio
40 boys: 60 girls
reduces to
4 boys: 6 girls
In other words, for every 4 boys, there are 6 girls. The ratio 4:6 can be fully reduced to 2:3 which means for every 2 boys, there are 3 girls.
Side note: if the ratio of vegetarian girls to omnivorous girls is 1:1, then there are 30 of each
we can solve y+y = 60 to find that y = 30, or we can simply divide 60 in half to find this count. Saying "a ratio of 1:1" means that there are the same number of vegetarians as omnivorous girls.
see the attachment photo!
