Answer:
x=3
Step-by-step explanation:
1/4(12x + 4) - 14= -1/2(8x - 16)
1. Simplify each side my multiplying
3x - 13 = -4x + 8
2. Add 13 on each side
3x = -4x + 21
3. Add 4x on each side
7x = 21
x=3
Answer:
Option: c is correct.
Step-by-step explanation:
We are given that paco needs at least 3/8 yard of twine to build a model ship.
that is we require twine of amount greater than 3/8 yards.
<em>now we need to check among the given options which quantity is greater than 3/8 yards.</em>
a)
3/10 yard.
As we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.
Hence 3/10 < 3/8
Hence option a is incorrect.
b)
1/4 yard
As to compare to rational numbers we have to either make the numerator equal or their denominator equal. Hence here we multiply and divide 1/4 by 2 to get 8 in the denominator.

as 2/8 < 3/8
since the denominator is same and the number with the same denominator but with different numerator are compared as whose numerator is greater is a greater quantity.
Hence option b is incorrect.
c)
3/4 yard
Clearly both the numbers have the same numerator but different denominator and we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.
Hence 3/8 < 3/4
Hence, option c is correct.
d)
1/8 yard
clearly both the numbers have the same denominator and we know that for two rational numbers withe same denominator but with different numerator the number whose numerator is smaller is a smaller quantity.
Hence, 1/8 < 3/8
Hence, option d is incorrect.
Is there an a choice ? Or are those all the choices, just making sure
Answer:
16
Step-by-step explanation:
Your weight is (roughly) proportional to the inverse of the square of the distance you are from the center of the earth. If that distance is reduced to 1/4 its previous value, then your weight will be multiplied by the factor ...
1/(1/4)² = 16
You would weigh 16 times as much.
_____
<em>Additional comment</em>
The distribution of mass within the earth also affects your weight.
Okay, your answer is 182. You really do not need to look at the crazy stuff on the paper about the crazy numbers. Look at the graph. It is counting up by 20's on the left side. But on the right side, the whole time it is counting up by 13's. Your answer is 182.