Answer: x=10 and y=5
Step-by-step explanation: Let be the number of hours worked by the first mechanic.
Let be the number of hours worked by the second mechanic.
They worked for a combined total of hours. So we have the following equation.
The first mechanic charged per hour and worked for hours.
So, the first mechanic charged dollars.
The second mechanic charged per hour and worked for hours.
So, the second mechanic charged dollars.
Together they charged a total of . So we have the following equation.
The two equations above give us a system of linear equations.
We can solve the first equation for .
We then substitute for in the second equation to find .
Answer:
y = 1/2x -8
Step-by-step explanation:
The two marked points are 1 unit apart vertically and 2 units apart horizontally. The vertical rise is positive for a positive horizontal run, so the slope is ...
rise/run = 1/2
The y-intercept is the leftmost marked point, at y=-8. Then the slope-intercept form of the equation of the line is ...
y = slope·x + y-intercept
y = 1/2x -8
16x - 3 + 5x + 2 = 72
21x - 1 = 72
21x = 72+1
21x = 73
x = 73/21
x ≈ 3.48
Distance from Diego's house to the restaurant:
16x - 3 = 16 * 3.48 - 3 ≈ 52.6 miles
Distance from Anya's house to the restaurant:
5x + 2 = 5 * 3.48 + 2 ≈ 19.4 miles
52.6 ≠ 19.4 ⇒ <span>Diego was wrong.</span>
Total number of pounds of flour in the bakery is 54.36 pounds
<em><u>Solution:</u></em>
Given that,
Twins Bakery has 12 bags of flour in their bakery
Each bag weighs 4.53 pounds
Therefore,
Weight of 1 bag = 4.53 pounds
There are 12 bags
<em><u>Therefore, total number of pounds of flour in the bakery are:</u></em>
Thus we get,
Thus total number of pounds of flour in the bakery is 54.36 pounds