Which fraction is closer to 1/2 than 1?
7/8
10/12
12/14
7/10

7/10

Step-by-step explanation:

Comparison of these three fractions is easier if you convert them so that all have the same denominator.

"Closer to 1/2 than to 1" implies that the fraction chosen lies between 1/2 and 3/4, that is, between 0.500 and 0.750.

7/8 = 0.875 must be rejected.  It does not satisfy this criterion.  0.875 is NOT closer to 1/2 than it is to 1.

10/12 = 0.833 must be rejected for the same reason.

12/14 = 6/7 must be rejected for the same reason

7/10 = 0.700 satisfies the criterion (it lies closer to 1/2 than it does to 1).

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

10

step-by-step explanation: