9514 1404 393
Answer:
the correct choice is marked
Step-by-step explanation:
The denominators of the two fractions must be the same. To make that happen, Juan can multiply the second fraction by (x-2)/(x-2) -- the marked answer choice -- and multiply the first fraction by 3/3. These operations can be done in some order.
The offered choices suggest that treating the second fraction first is Juan's preferred choice.
- multiply the second fraction by (x-2)/(x-2)
<span> 3 </span>1666666667⁄<span>10000000000
</span>
We know that
if <span>y varies inversely as x----------> the equation is y=k/x
where
k--------> </span><span> is the constant of variation</span><span>
for x=3.3 y=15
then
y=k/x--------> 15=k/3.3---------> k=15*3.3--------> k=49.5
so
y=49.5/x
the answer is
y=49.5/x</span>
1)
We calculate the total number of new light fixtures.
Total number of new light fixtures=(24 new fixtures/1 floor)(4 floors)=
=96 new fixtures.
2)
We calculate the total number of work hours
20 minutes=20 minutes * (1 hour/60 minutes)=1/3 hour.
1 electrician-----------1/3 hour----------1 new fixture
2 electricians---------- x ------------96 new fixtures
1 elec.*1/3 hour*96 nex fixtures=2 elect. * x * 1 new fixture.
x=(1 elec. *1/3 hour * 96 nex litght fixtures) / (2 elect.* 1 new fixture)=
=16 hours.
3)
We calculate the total number of days that it take two electricians to complete the installations.
1 day-------------8 work hours
x------------------16 work hours
x=(1 day* 16 work hours) / (8 work hours)=2 days
Answer: 2 days.
We know CXD form a 90 degree angle, plus 32 that is angle BXC
90+32=122
We also know XH bisects this angle, which means it cut it in half,
122/2= 61
Answer: 61