Answer:
2x+2y=52
x*y=120
Step-by-step explanation:
The possible lengths of a side of the rectangle are 22, 21, 20, 19, 18, 17, 16 feet.
To find the possible lengths of a side of the rectangle, let's use the formula for the perimeter of a rectangle, which is 2(length + width). We can set up an equation using the given information:
2(length + width) = 52
Dividing both sides by 2, we get:
length + width = 26
Now, to find the possible lengths, we need to consider the area. The formula for the area of a rectangle is length x width. We are given that the area is not to exceed 120 square feet, so we can set up the inequality:
length x width <= 120
Using the relationship length + width = 26, we can substitute length = 26 - width into the inequality:
(26 - width) x width <= 120
Simplifying the inequality, we get:
-width^2 + 26width - 120 <= 0
Now, we can solve this quadratic inequality to find the range of possible widths. Once we have the widths, we can substitute them back into the equation length + width = 26 to find the corresponding lengths.
By solving the quadratic inequality, we find that the possible widths are 4 <= width <= 10. Substituting these widths back into the equation length + width = 26, we get the corresponding lengths:
If width = 4, then length = 22
If width = 5, then length = 21
If width = 6, then length = 20
If width = 7, then length = 19
If width = 8, then length = 18
If width = 9, then length = 17
If width = 10, then length = 16
The possible lengths of a side of the rectangle are {22, 21, 20, 19, 18, 17, 16} feet.
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Answer:
564 ft²
Step-by-step explanation:
To account for the extra space between units, we can add 2" to every unit dimension and every box dimension to figure the number of units per box.
Doing that, we find the storage box dimensions (for calculating contents) to be ...
3 ft 2 in × 4 ft 2 in × 2 ft 2 in = 38 in × 50 in × 26 in
and the unit dimensions to be ...
(4+2)" = 6" × (6+2)" = 8" × (2+2)" = 4"
A spreadsheet can help with the arithmetic to figure how many units will fit in the box in the different ways they can be arranged. (See attached)
When we say the "packing" is "462", we mean the 4" (first) dimension of the unit is aligned with the 3' (first) dimension of the storage box; the 6" (second) dimension of the unit is aligned with the 4' (second) dimension of the storage box; and the 2" (third) dimension of the unit is aligned with the 2' (third) dimension of the storage box. The "packing" numbers identify the unit dimensions, and their order identifies the corresponding dimension of the storage box.
We can see that three of the four allowed packings result in 216 units being stored in a storage box.
If storage boxes are stacked 4 deep in a 9' space, the 2' dimension must be the vertical dimension, and the floor area of each stack of 4 boxes is 3' × 4' = 12 ft². There are 216×4 = 864 units stored in each 12 ft² area.
If we assume that 2 weeks of production are 80 hours of production, then we need to store 80×500 = 40,000 units. At 864 units per 12 ft² of floor space, we need ceiling(40,000/864) = 47 spaces on the floor for storage boxes. That is ...
47 × 12 ft² = 564 ft²
of warehouse floor space required for storage.
_____
The second attachment shows the top view and side view of units packed in a storage box.
Answer:
17y^2+19
Step-by-step explanation:
sum means add
Answer:
19+ 17y²
Step-by-step explanation:
Answer:
5.5+7.25−5.5−7.25 = 0
Step-by-step explanation:
To be honest, you shouldn't have to show work for an equation like this. But this is the answer. Hope it helped.
Answer:
5.5+7.25-5.5+(-7.25)
step 1: add 5.5 and 7.25
12.75−5.5−7.25
step 2: subtract 5.5 from 12.75
7.25−7.25
The answer is 0.
Step-by-step explanation:
Brainliest?
Answer:120?
Step-by-step explanation:
Answer:
36,000,000 bps
Step-by-step explanation:
Matrix of 480 by 500 = 480 X 500 = 240,000 pixels
Intensity values per pixel = 32. This simply means the color variations in this TV.
The bit per pixel for an intensity value of 32 is 5 (That's 2 raised to the power of 5)
Pictures sent per second = 30
Source rate R (bps) = Total number of pixels in the matrix X bit per pixel X Number of pictures sent per second.
Source rate R (bps) = 240,000 X 5 X 30 = 36,000,000 bps
The source rate for the digitized TV picture is 230,400,000 bps.
The source rate can be calculated by multiplying the number of pixels per picture element by the number of intensity values per pixel and by the number of pictures sent per second.
So, the source rate R (bps) is given by:
R = (480 * 500) * 32 * 30
Calculating this, we find that the source rate is 230,400,000 bps.
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28 to 42 means 28/42
We now reduce 28/42 to lowest terms.
28 ÷ 7 = 4
42 ÷ 7 = 6
We now have 4/6.
We now reduce 4/6.
4 ÷ 2 = 2
6 ÷ 2 = 3
Final answer: 2/3