Answer:
f = 3
Step-by-step explanation:
8 = 2f + 2
-2 -2
6 = 2f
/2 /2
3 = f
No shel will not have enough tile. If you don't know the dimensions of the actual tile how will you solve. If you have a closet 18 square feet it could be 9 ' x 2 ' = 18 square feet. If the tiles were 12" x 6" you would need 36 tiles. If the closet was 6' x 3' = 18 square feet you could have the tiles 12" x 6" = 36 tiles. So you need to know the dimensions of the tile.
Answer with Step-by-step explanation:
16 19 21 26 27 29 34 35 35 39 40 41 42 50 50 52 57 60 75 76 78 81 84
the data is already arranged in ascending order
Min=16
Max=84
The quartiles for the odd set of data is given by
where n is the number of elements
Here, n=23
Q1=6 th term
Q1=29
Q2=12 th term
Q2=41
Q3=18 th term
Q3=60
Hence, five-number summary for the given data is:
Min Q1 Q2 Q3 Max
16 29 41 60 84
So you know that he earns $15 per hour so we can write that as 15h, h = # of hours worked
We also know he has to earn AT LEAST $200, so putting all this together we form the inequality(=< means less than or equal to): 15h =< 200
so now we have to solve for h (number of hours worked):
15h =< 200
(divide both sides by 15)
h =< 13 1/3
So, the painter must work a minimum of 13 and 1/3 hours to earn at least $200.
Equation 1) 3x + 2y - 5z = 3
Equation 2) 4x - 2y - 3z = -10
Equation 3) 5x - 2y - 2z = -11
Add equation 1 with equation 2.
Equation 4) 7x - 8z = 7
Then subtract equation 3 from equation 2.
Equation 5) -x -z = 1
Multiply all of equation 5 with 7.
5) -7x - 7z = 7
4) 7x - 8z = 7
Add equations together.
z = 14
Plug in 14 for z in equation 4.
7x - 8z = 7
7x - 8(14) = 7
7x - 112 = 7
7x = 119
x = 17
Plug in 17 for x in equation 1, and 14 for z.
1) 3x + 2y - 5z = 3
3(17) + 2y - 5(14) = 3
51 + 2y - 70 = 3
2y - 19 = 3
2y = 22
y = 11
So, x = 17, y = 11, and z = 14
~Hope I helped!~