<h3>
Answer: B. 2/3(x+6)</h3>
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Explanation:
If you distribute the expression in choice A, then you'd get
(1/3)(2x+6) = (1/3)*2x + (1/3)*6 = (2/3)x+2
which is not the original expression. So we can rule out choice A.
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A similar story happens with choice C
(2/3)(x+12) = (2/3)x+(2/3)*12 = (2/3)x+8
and also with choice D
(2/3)(x+4) = (2/3)x+(2/3)*4 = (2/3)x + 8/3
allowing us to rule out choices C and D
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Choice B works
(2/3)(x+6) = (2/3)x+(2/3)*6 = (2/3)x+4
This is a question that needs understanding. The calculation part is comparatively easy. We should first concentrate and write down all the important information's that are given in the question.
1 foot = 12 inches
1 inch = 2.54 centimeters
The thing that needs to be determined is
1 foot = ? centimeters
Now
1 foot = 12 inches
= (12 * 2.54) centimeters
= 30.48 centimeters
So from the above deduction we can clearly see that 1 foot is equal to 30.48 centimeters. I hope the procedure is simple enough for you to understand.
<span><em>12 pennies, 3 nickles, and 2 dimes</em>
p = number of pennies
n = number of nickles
d = number of dimes
p(1) + n(5) + d(10) = 47
that is, the number of pennies x 1 cent + number nickles x 5 cents
+ number of dimes x ten cents equals 47 cents
p = 4n
p + n + d = 17
Substituting 4n for p in the above
4n + n + d = 17
5n + d = 17
Subtract 5n from each side
d = 17 - 5n
We will now substitute 4n for p and ( 17-5n ) for d in
the equation
p(1) + n(5) + d(10) = 47
4n(1) +n(5) + (17-5n)(10) = 47
9n + 170 - 50n = 47
-41n + 170 = 47
Subtract 170 from each side
-41n = 47 - 170
-41n = -123
Divide each side by -41
n = 3
Since p = 4n
p = 4(3)
p = 12
Since p + n + d = 17
12 + 3 + d = 17
15 + d = 17
d = 2
So we have 12 pennies, 3 nickles and 2 dimes
12 + 3(5) + 2(10) ?= 47
12 + 15 + 20 ?= 47</span>
Your answer would be C
if triangle efg is equal to hjk then it will still be equal the opposite way. The symmetric property tells us that both sides of the equal sign are equal no matter what side they are on.
Answer: 2/4 simplified: 1/2
Step-by-step explanation: