Answer:
NUMBER 2) x>_3/7
Step-by-step explanation:
-2(2-2x)-4(x+5) is less than or equal to -24
-2(2-2x)-4(x+5) <_ -24 Divide the expression by the #'s outside the ()
2-2x+x+5>_-3 This is the quotient from dividing it by -8 (-2 and -4)
(when you divide by a negative number, the signs flip)
7-x>_-3 Now, divide both sides by 7
-x>_-3/7 If you want, convert to a decimal. Lastly, divide by -1
x>_3/7
Answer:
b) 2/6
Step-by-step explanation:
0, 1/6, 2/6, 3/6, 4/6, 5/6, 1
Hope this helps!
3x-21=6x-60
3x+39=6x
39=3x
x=13
Answer:
15
Step-by-step explanation:
Let n, d, q represent the numbers of nickels, dimes, and quarters. The problem statement tells us ...
n +d +q = 37
n = d +4
q = n +2
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Rearranging the second equation gives ...
d = n -4
Substituting that into the first, we get ...
n + (n -4) +q = 37
2n +q = 41 . . . . . . . add 4 and simplify
Rearranging the third original equation gives ...
n = q -2
Substituting into the equation we just made, we get ...
2(q -2) +q = 41
3q = 45 . . . . . . . . add 4 and simplify
q = 15 . . . . . . . . . divide by 3
Joe has 15 quarters.
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<em>Check</em>
The number of nickels is 2 fewer, so is 13. The number of dimes is 4 fewer than that, so is 9. The total number of coins is 15 + 13 + 9 = 37, as required.