Answer:
The first mechanic $90/hour and the second charged $70/hour
Step-by-step explanation:
Lets start off by letting x be the first mechanics rate and y being the second mechanics rate. We know that the first mechanic worked 5 hours and that the second mechanic worked 10 hours and together they charged 1150. An equation to express this would be:
5x+10y = 1150
We also know that together they charged 160/per hour. An equation to express this would be:
x+y = 160
Now we can solve the second equation for x or the first mechanics rate.
x+y = 160
x = 160 - y
Now that we have an expression for x we can plug that back into the first equation and solve for y or how much the second mechanic charged.
5x+10y=1150 plug in x =160-y
5(160-y)+10y=1150 Distribute
800 -5y+10y = 1150 Combine like terms
800 +5y = 1150 Subtract 800 from both sides
5y = 350 divide by 5
y = 70
So we know that the second mechanic charged $70/hour. We also know that(from our work before) that the first mechanic charges $160 - the rate the second mechanic charged. We know that's $70/hour so we can plug in and solve for the first rate.
x = 160-y
x = 160-70
x = 90
So we know that the first mechanic charged $90/hour and the second mechanic charged $70/hour.
The rate per hour for the first mechanic is $105 and for the second mechanic is $85.
This problem is a case of simultaneous equations where we need to determine the rates at which the two mechanics charge. Let's denote the hourly rates of the first and second mechanics as x and y respectively. From the question, we know:
1. x + y = $190 (The sum of the two rates was $190 per hour)
2. 10x + 5y = $1475 (The first mechanic worked for 10 hours and the second mechanic worked for 5 hours, and together they charged a total of $1475)
To solve these equations, you can start by multiplying the first equation by 5 to match the second equation:
5x + 5y = $950
Now, subtract this from the second equation:
10x - 5x = $1475 - $950
5x = $525
Therefore, x ($/hour by the first mechanic) = $525 / 5 = $105
You can now substitute x = $105 into the first equation to get:
$105 + y = $190
Therefore, y ($/hour by the second mechanic) = $190 - $105 = $85
#SPJ2
The capacity of each bottle is .
Further explanation:
Given:
Julianbought 3.9liters of cranberry juice.
Jay bought 8.74 liters of Apple juice.
They mixed both the juice equally.
Procedure:
1. First find total capacity of both the juice.
2. Now, divide by 2 to find weight of juice in each bottle.
Calculation:
The total juice (in liters) can be obtained by adding both the juice brought by the Julian and Jay.
Therefore, the total juice (in liters) is 12.64 liters.
To obtain the number of liters in each bottle can be obtain by divide the total juice in liter by 2.
Therefore the capacity of each bottle of juice is 6.32 liters.
Thus, the capacity of each bottle is .
Method 2:
Simple Method:
The Average of two juices gives the value of number of liters in each bottle.
The average is defined as the sum of the items divide by the number of items.
Thus, the capacity of each bottle is .
Learn more:
1. Learn more about algebraic expression brainly.com/question/1600376
2. Learn more about averagebrainly.com/question/3959122
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Algebraic expression
Keywords:
Julian, Jay, apple juice, juice, cranberry juice, 3.9 liters, 8.74 liters, mixed, equally, bottles, two juice, poured, 6.32 liters, liters.
Answer: -118
Step-by-step explanation:
first multiply by 40. 37x 40 is 1480. No subtract 64 from both sides (1416). Multiply both sides by negative one to make the parentheses positive. -(1416)
on the inside that would be 12y so divide -1416 by 12 which is -118
I hope that's right!! :)
NOTE it isn't -118 sorry!!! I didn't see that in the original post