24/ x +6 = 27/ 2x -2
1 answer:
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If the pattern (see attachment) below was tripled, the ratio of black squares to gray squares would be equal to 1:2.
<h3>What is a proportion?</h3>A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Mathematically, a direct proportion can be represented by the following equation:
y = kx
Where:
- y and x are the variables.
- k represents the constant of proportionality.
A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
For this exercise, the ratio of black square to gray squares is given by:
B:G = 1:2
Tripling the pattern, we would multiply by three (3) as follows:
B:G = [1:2] × 3
B:G = 3:6
Dividing all through by 3, we have:
B:G = [3:6]/3
B:G = 3/3 : 6/3
B:G = 1:2.
Read more on ratio here: brainly.com/question/13513438
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<h2>Hello!</h2>
The answers is:
The first mechanic's rate is $70 per hour.
The second mechanic's rate is $110 per hour.
<h2>Why?</h2>Let's write the given information in order to make the equations that will help us to solve this problem.
Let be "x" the first mechanic's rate and "y" the second mechanic's rate, so:
If the first mechanic worked for 5 hours and the second mechanic worked for 15 hours, and the together charged a total of $2000.
Also, we know that the sum of the two rates was $170 per hour, so:
Then, isolating "x" and replacing it into the first equation, we have:
So, the second mechanic's rate is $110 per hour.
Now, to calculate the first mechanic's rate we need to replace "y" into the second equation:
So, the first mechanic's rate is $70 per hour.
Have a nice day!