The rate charged per hour by each mechanic was: x = 75 $ / hr and y = 115 $ / hr.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given;
The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours.
Together they charged a total of $3225.
For this case we have the following variables:
x be the amount of $ / hr that the mechanic obtains 1.
y be the amount of $ / hr obtained by mechanic 2.
An equation to express this would be:
x + y = 190
20x + 15y = 3225
Solving the system of equations we have:
20x + 15(190 -x) = 3225
20x + 2850 - 15x = 3225
5x = 375
x = 75
simililary
y = 190 - x
y = 115
Hence, the rate charged per hour by each mechanic was:
x = 75 $ / hr
y = 115 $ / hr
Learn more about equations here;
brainly.com/question/10413253
#SPJ1
The expression is: a. StartFraction (3) sine (66 degrees) Over sine (38 degrees) EndFraction
Step-by-step explanation:
The Law of Sines is written as;

where a, b,c are sides of the triangle and side a faces angle A , side b faces angle B and side c faces angle C.
In this case,
Dividing side AB by sin 38° equals dividing side BC by sin 66°

3/0.61566147532 = BC/0.91354545764
4.87280773645 = BC/0.91354545764
BC=4.87280773645*0.91354545764 =4.45153137359
Approximate length is = 4.5 and the expression is: 3 sine 66°/ sine 38°
Learn More
Law of sines :brainly.com/question/3617061
Keywords: expression, length, line segment
#LearnwithBrainly
Answer:
3.75
Step-by-step explanation:
That is the decimal
Answer:
d. 560
Step-by-step explanation:
We have to find the value of
.
Now, we know the formula of
is given as
.
Here, n! = 1 × 2 × 3 × 4 × .......... × (n - 1) × n.
So, in our case, 
= 
= 
= 56 × 10
= 560 (Answer)