The answer is: " 16 " .
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Explanation:
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Method 1)
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(4/5) *(20/1) = ?
The "5" cancels to a "1" ; and the "20" cancels to a "4" ;
(since "20÷5=4" ; and "5÷5=1") ;
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Rewrite as: (4/1) * (4/1) = 4 * 4 = 16.
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Method 2)
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4/5 * 20/1 = (4*20)/(5*1) = (80/5) = 16 .
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Method 3)
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4/5 * 20 = ? ;
4/5 = 8/10 = 0.8 ;
0.8 * 20 = 16.0 = 16.
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This problem is an example of solving equations with variables on both sides. To solve, we must first set up an equation for both the red balloon and the blue balloon.
Since the red balloon rises at 2.6 meters per second, we can represent this part of the equation as 2.6s. The balloon is already 7.3 meters off of the ground, so we just add the 7.3 to the 2.6s:
2.6s + 7.3
Since the blue balloon rises at 1.5 meters per second, we can represent this part of the equation as 1.5s. The balloon is already 12.4 meters off of the ground, so we just add the 12.4 to the 1.5:
1.5s + 12.4
To determine when both balloons are at the same height, we set the two equations equal to each other:
2.6s + 7.3 = 1.5s + 12.4
Then, we solve for s. First, the variables must be on the same side of the equation. We can do this by subtracting 1.5s from both sides of the equation:
1.1s + 7.3 = 12.4
Next, we must get s by itself. We work towards this by subtracting 7.3 from both sides of the equation:
1.1s = 5.1
Last, we divide both sides by 1.1. So s = 4.63.
This means that it will take 4.63 seconds for both balloons to reach the same height. If we want to know what height that is, we simply plug the 4.63 back into each equation:
2.6s + 7.3
= 2.6 (4.63) + 7.3
= 19.33
1.5s + 12.4
= 1.5 (4.63) + 12.4
= 19.33
After 4.63 seconds, the balloons will have reached the same height: 19.33 meters.
Answer:
Step-by-step explanation:
Since squares are the same length on each side, whatever one side is, if you square it, it will give you the area of the square. To find the length of one side, you need to do the inverse: find the square root of the area.
for example: if you have a square that is 3x3, the are is 3², or 9. Now, in order to find the length of one side, you need to do √9, which gives you 3.
The solution for r in the given equation is r = √[(3x)/(pi h)(m)]
<h3>How to determine the solution of r in the equation?</h3>
The equation is given as:
m = (3x)/(pi r^(2)h)
Multiply both sides of the equation by (pi r^2h)
So, we have:
(pi r^(2)h) * m = (3x)/(pi r^(2)h) * (pi r^(2)h)
Evaluate the product in the above equation
So, we have:
(pi r^(2)h) * m = (3x)
Divide both sides of the equation by (pi h)(m)
So, we have:
(pi r^(2)h) * m/(pi h)(m) = (3x)/(pi h)(m)
Evaluate the quotient in the above equation
So, we have:
r^(2) = (3x)/(pi h)(m)
Take the square root of both sides in the above equation
So, we have:
√r^(2) = √[(3x)/(pi h)(m)]
Evaluate the square root of both sides in the above equation
So, we have:
r = √[(3x)/(pi h)(m)]
Hence, the solution for r in the given equation is r = √[(3x)/(pi h)(m)]
Read more about equations at
brainly.com/question/2972832
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Answer:
16
Step-by-step explanation:
Perimeter = distance round the shape
2y + 11 + y + 3 +3y - 2 + 10 = 58
Collect like terms
2y + y + 3y = 58 - 11 - 3 + 2 - 10
6y = 36
y = 36/6
y = 6
Length PQ = 3y - 2 = 3(6) -.2 = 18 - 2 = 16
