Answer:
100a + 400 ≤ 6500
Step-by-step explanation:
The office building contains 6500 ft² of space. Each employee has a cubicle that takes up to 100 ft². The entryway also takes up to 400 ft². The inequality that can be use to find the possible number of cubicles is expressed below.
Let
number of employee/cubicle = a
Total space of the office building = 6500 ft²
The entryway has already occupied 400 ft² of the office building space. Each employee has one cubicle which takes up to 100 ft² of the office building space.The space occupied by the cubicle in the office building can be calculated when you multiply the number of cubicle/employee by 100(size of each cubicle) This will be 100 × a = 100a. The total number of space occupied by the cubicles plus the already space taken by the entryway will be less than or equal to the total space of the office building.Therefore,
100a + 400 ≤ 6500
The point at 0 x on the y axis the y-intercept, so -2
Answer: y = 6 mi. .
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Explanation:
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Area of a triangle = (½) * (base) * (height) ;
or, A = (½) * b * h ; or, A = b*h / 2 ;
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Given: A = 24.3 mi ² ;
b = 8.1 mi
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Find the height, "h" ; (in units of "miles", or , "mi" ).
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Plug in the known values into the formula:
24.3 mi ² = (½) * (8.1 mi) *(h) ;
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Solve for "h" (height) ;
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(½) * (8.1 mi) = 4.05 mi ;
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Rewrite:
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24.3 mi² = (4.05 mi) *(h) ; Solve for "h" ;
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Divide each side of the equation by "(4.05 mi)" ; to isolate "h" on one side of the equation ; and to solve for "h" ;
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24.3 mi² / 4.05 mi = (4.05 mi) *(h) / 4.05 mi ;
→ 6 mi = h ; ↔ h = 6 mi.
→ h = y = 6 mi.
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Answer:
Tina's average speed for the whole journey = 56 kmph
Step-by-step explanation:
Time taken by Sean to travel from Town A to Town B = 4 hours.
Average speed of Sean = 70 km/h
We have equation of motion, s = ut + 0.5 at²
Time, t = 4 hours.
Initial speed, u = 70 km/hr
Acceleration, a = 0 m/s²
Substituting
s = ut + 0.5 at²
s = 70 x 4 + 0.5 x 0 x 4²
s = 280 km
Distance from Town A to Town B = 280 km
Tina took 1 hour more than Sean.
Time taken by Tina to travel from Town A to Town B = 4 +1 = 5 hours
We have equation of motion, s = ut + 0.5 at²
Time, t = 5 hours.
Displacement, s = 280 km
Acceleration, a = 0 m/s²
Substituting
s = ut + 0.5 at²
280 = u x 5 + 0.5 x 0 x 5²
u = 56 km/hr
Tina's average speed for the whole journey = 56 kmph
The 2 red marbles plus 6 yellow and 5 green equal 13 total marbles.
A) There are 2 red marbles out of the total number so 2/13 or about 15.4%
B)The colors that are not yellow are red and green. 2 Red+5 Green=7. 7/13 or about 53.8%.
C)Same as B
D)The only color not red or green is yellow. There are 6 yellow so 6/16 or 46.2%.
<u>Hope this helps :-)</u>