Write the set of points from -6 to 0 but excluding -4 and 0 as a union of intervals
First we take the interval -6 to 0. In that -4 and 0 are excluded.
So we split the interval -6 to 0.
Start with -6 and go up to -4. -4 is excluded so we break at -4. Also we use parenthesis for -4.
Interval becomes [-6,-4) . It says -6 included but -4 excluded.
Next interval starts at -4 and ends at 0. -4 and 0 are excluded so we use parenthesis not square brackets
(-4,0)
Now we take union of both intervals
[-6,-4) U (-4,0) --- Interval from -6 to 0 but excluding -4 and 0
It would be
, or, in simplest form,
.
You get this by adding all the marbles to find the total number of marbles. <em>10+7+12+9</em>, which equals <em>38</em>.
You have <u>10 red marbles out of 38 total</u>, so that is represented by
!
Manipulate the first equation to
y = 22-7z
Then substitute in the second to find z
8(22-7z) + 7z = 127
176-56z+7z = 127
-49z = -49
z = 1
So y = 22-7(1) = 22-7 = 15
y = 15; z = 1
Answer:
B) 2 hours
Step-by-step explanation:
If machine A complete a job in 3 1/2 hours or 7/2 of an hour
means that in one hour finished 1÷ 7/2 or 2/7
If machine B complete a job in 4 2/3 hours or 14/3 of an hour
means that in one hour finished 1÷ 14/3 or 3/14 of an hour
Then the two machines working together in one hour will make
2/7 + 3/14 = (4 + 3)/ 14
or 7/14 = 1/2
half of the job. Therefore these two machines working together will take two hours