we have

This is a mixed number
we know that
A mixed number is a combination of a whole number and a fraction.
So
is equal to

where
is the whole number
is the fraction

therefore
the answer is

Answer:

Step-by-step explanation:
Given
Parallel lines A and B
Required
Find x
For A and B to be parallel, then 5x + 9 and 6x - 2 are alternate interior angles
And alternate interior angles are always equal
This means that

Collect like terms


Multiply both sides by -1


Answer:
$95 per hour
Step-by-step explanation:
The total of charges is the sum of the cost of labor and the cost of parts. The cost of labor is the product of hours (5) and the cost per hour (x). Then the equation for total cost is ...
total cost = parts cost + hours cost
651 = 176 + 5x
475 = 5x . . . . . . . subtract 176
95 = x . . . . . . . . . divide by 5
The cost of labor per hour is $95.
the volume of cuboid is given by length*breadth*height
the volume of above cuboid is 6*12*125=864cubic in.
volume of below cuboid is 18*10*8=1440 cubic in.
totoal volume = 1440+864l=2304 cubic in.
Answer:
Step-by-step explanation:
Use the Pythagorean Theorem.
base² + height² = hypotenuse²
6² + 8² = hypotenuse²
100 = hypotenuse²
hypotenuse = √100 = 10 meters