X = 37
150= 4x + 2
148 = 4x
X = 37
First find the area of the parallelogram
Area of parallelogram = b x h
= 12 x 7
= 84
Then find area of kite
Area of kite = (xy)/2
= (7 x 12)/2
= 84/2
= 42
Now we are gonna subtract the area of the kite from the area of the parallelogram.
84 - 42 = 42
Therefore the area of the shaded region is 42.
Answer:
See the attachment
Step-by-step explanation:
The inequalities resolve to ...
x ≥ 1 or x ≤ -3
You have chosen the correct placement of the lines on the number line. The "or equal to" symbol (≥ or ≤) means the dots at -3 and +1 are filled in, indicating those numbers are part of the solution.
If the ">" or "<" symbol is used in the inequality, the dot is left open, as in the answer you selected. The open dot indicates that value is not part of the solution set.
Answer:
91.42 crates
Step-by-step explanation:
Let
Greatest Number of 140kg crates = x
weight of crate = 140-kilogram
Weight of other shipment = 13200 kilograms
greatest weight of container = 26000 kilograms
Weight of other shipment + (weight of crate * number of crates) ≤ greatest weight of container
13,200 + 140x ≤ 26,000
140x ≤ 26,000 - 13,200
140x ≤ 12,800
x ≤ 12,800/140
x ≤ 91.42 kilograms
Greatest Number of 140kg crates = 91.42 crates
