Answer:
The chocolate bar contains 29.2 grams of cocoa.
Step-by-step explanation:
Given that Lucy’s chocolate bar is 54% cocoa and the weight of the chocolate bar is 54 grams.
Hence, the amount of cocoa in the chocolate bar is given by
54% of 54 grams
54% percentage means 54/100 = 0.54
Hence, the amount of cocoa in the chocolate bar is
When rounded to the nearest tenth, 29.16 should be equal to 29.2
Hence, the chocolate bar contains 29.2 grams of cocoa.
Answer:
12
Step-by-step explanation:
(18x - 44) + (8x - 10) = 180
26x - 54 = 180
26x = 234
x = 9
Now:
(18x - 44) = (13y - 38)
(18(9) - 44) + 38 = 13y
162 - 44 + 38 = 13 y
156 = 13y
y = 12
♡ The Question ♡
・-2 (x + 7) = x -34 + 2x
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* ♡ The Answer ♡
・x = 4
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♡ The Explanation/Step-By-Step ♡
・-2 (x + 7) = x -34 + 2x
-2 (x + 7) = x + 2x - 34
-2 (x + 7) = 3x - 34
-2 (x + 7) : -2x - 14
-2 (x + 7)
Apply the distributive law! : a(b + c) = ab + ac
a = -2, b = x, c = 7
= -2 + (-2) x 7
Apply minus (-) plus rules!
+ (-a) = -a
= -2x - 2 x 7
Multiply the numbers! : 2 x 7 = 14
= -2x - 14
-2x - 14 = 3x - 34
Add 14 to both sides!
-2x - 14 + 14 = 3x - 34 + 14
Simplify!
-2x = 3x - 20
Subtract 3x from both sides!
-2x - 3x = 3x - 30 - 3x
Simplify!
-5x = -20
Divide both sides by -5!
-5x/-5 = -20/-5
Simplify! : -5x/-5 : x
Apply the fraction rule! : -a/-b = a/b
= 5x/5
Divide the numbers! : 5/5 = 1
= x
Simplify! : -20/-5 : 4
-20/-5
Apply the fraction rule! : -a/-b = a/b
= 20/5
Divide the numbers! 20/5 = 4
= 4
x = 4
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*♡ Tips ♡
・No tips provided!
