37 + 57 = 57 + 37
Explanation: Commutative Property of Addition
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Answer:
The longest segment is approximately 19.13cm
Step-by-step explanation:
Given



Required
The length of the longest segment (d)
This is calculated using:

So, we have:

Using a calculator, the equation becomes

Take square roots

Two numbers are called x and y
x + y = 15
3x = y+2
Convert to slope intercept:
y = -x + 15
y = 3x - 2
The correct answer for the exercise shown above is the first option and the las option, which are:
<span>y = 3x + 20
3x - y = -20
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The explanation is shown below:
1. You have the folllowing expression given in the problem above:
y-2=3(x+6)
2. If you solve it for y, you have:
y-2=3x+18
y=3x+18+2
y=3x+20
3. And if you move the variables to the left member, you have:
3x-y=-20
Therefore, as you can see, the correct answer are the options mentioned above.
The cost per adult ticket is $13 and the cost per children ticket is $8
Step-by-step explanation:
Let the cost of adult tickets be 'x'
Let the cost of children tickets be 'y'
2x + 3y = 50
2x = 50 - 3y
x = (50 - 3y) /2
3x + 4y = 71
[3(50-3y) /2 ]+ 4y = 71
(150 - 9y) /2 + 4y = 71
150 - 9y + 8y = 142
150 - y = 142
y = 150 - 142
y = 8
x = (50-3y) /2
x = (50-24) /2
x = 13
The cost per adult ticket is $13 and the cost per children ticket is $8