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;
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Between 7/8 and 14/15 the bigger value is the 7/8. When comparing to fractions you need look on the denominator of the fractions the smaller the denominator the larger the fraction. Thank you for posting your question here. Hope it helps.
Answer:
.903089987
Step-by-step explanation:
Sixth grade:
7 | x x x x x x
8 | x x x x
9 |x x x x x x
A | x x x x . . . . . . . . where "A" is used to represent 10 tens (100)
7th grade:
5 | x x x x x
6 | x x x x x x x
7 | x x x x
8 | x x x x
The range (low, high) and median of the 6th grade scores are all higher than those of the 7th grade scores.
Based on visual inspection, Grade 6 appears to have the higher mean score.
Answer:
6.7
Step-by-step explanation:
To solve this problem, we need to calculate the distance between two points in the XY coordinate plane.
The formula to calculate this distance is:
d = sqrt(dx^2 + dy^2)
where dx is the difference between the X coordinate of the points, dy is the difference between the Y coordinate of the points, and d is the distance.
(sqrt is the square root of what is in the parenthesis)
The first point (April's king) has X=4 and Y=2, the second point (the opponent's king) has X=7 and Y=8.
So, we have that dx = 4-7 = -3 and dy = 2-8 = -6
Now, we calculate the distance:
d = sqrt[ (-3)^2 + (-6)^2 ] = sqrt(9+36) = sqrt(45) = 6.7082 = 6.7
