Given :
A morning truck can carry no more than 1480 pounds of cargo.
Brian loaded 640 pounds into the truck already.
He is loading boxes that weigh 70 pounds.
To Find :
How many boxes can he out into the truck.
Solution :
Weight left for carrying cargo, W = 4180 - 640 pounds
W = 3540 pounds
Number of boxes of 70 pounds cargo he can carry in truck is :
≈ 50 .
Therefore, number of box they can carry is 50.
Hence, this is the required solution.
The values of the variables x and y in the triangle are 1.25 and 1.75
<h3>How to determine the values of the variables x and y?</h3>
The tringle represents the given parameter
On the triangle, we have the following equivalent ratio
5 : 8 = 5 + x : 10
7 : 8 = 7 + y : 10
These are true because the horizontal lines of the triangles are parallel
So, we have
5 : 8 = 5 + x : 10
Express as fraction
5/8 = 5 + x/10
This gives
5 + x = 6.25
Solve for x
x = 1.25
Similarly, we have
7 : 8 = 7 + y : 10
So, we have
7/8 = 7 + y/10
This gives
7 + y = 10*7/8
Evaluate
7 + y = 8.75
So, we have
y = 1.75
Hence, the values of x and y are 1.25 and 1.75
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There are 3 red Hexagones, 3 blue triangles and 5 orange rectangles needed to complete the symmetry of the given figure.
<h3>What is symmetry? </h3>
Something is symmetrical when it is the same on both sides. A shape has symmetry if a central dividing line (a mirror line) can be drawn on it, to show that both sides of the shape are exactly the same.
The given figure will become symmetrical when 3 red Hexagones, 3 blue triangles and 5 orange rectangle added to the right portion.
Hence there are 3 red Hexagones, 3 blue triangles and 5 orange rectangles needed to complete the symmetry of the given figure.
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