The expression can be simplified as:
b-8
The shortcut is the hypotenuse of a right triangle with legs 6 and 8, so 6²+8²=c²
36+64=c
100=c²
c=10.
so he traveled 6+8+10=24km
The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
<h3>How to determine the volume?</h3>
The complete question is added as an attachment
From the attached image, we have:
Length = 12 - 2x
Width = 7 - 2x
Height = x
The volume is calculated as:
Volume = Length * Width * Height
Substitute the known values in the above equation
Volume = (12 - 2x) * (7 - 2x) * x
This gives
Volume = x(12 - 2x)(7 - 2x)
Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
Read more about polynomial at:
brainly.com/question/4142886
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The answer is 15x + 15
Each person needs to pay x dollars per hour, and also 3 dollars for a helmet
Let us convert this into a pseudo-expression:
1 person = (x dollars) x (y hours) + 3 dollars
Now, it says that there are 5 people, so we need to multiply both sides by 5
5 people = 5 x (x dollars) x (yhours) + 3 x 5 dollars
Furthermore, it says that each person wants to go horseback riding for 3 hours:
5 people = 5(x dollars) x (3 hours) + 15 dollars
Now, we just need to convert this into an expression
5 people = 5(x)(3) + 15
5 people = 15x+15
They want the expression for cost, so we just need to give them
15x + 15
