Answer:
The answer is y = 5.25
Step-by-step explanation:
-2.3 + 1.6y = 6.1
1.6y = 6.1 + 2.3
1.6y = 8.4
y = 8.4/1.6
y = 5.25
Formula for slope (m) is:
(y2 - y1) / (x2 - x1)
Our points are (9, 11) and (3, 6).
Therefore we can determine:
y2 = 6
y1 = 11
x2 = 3
x1 = 9
Substitute these into the formula:
(y2 - y1) / (x2 - x1)
(6 - 11) / (3 - 9)
Solve:
(6 - 11) / (3 - 9)
-5 / -6
Reduce the fraction with -1:
Slope (m) = 5 / 6
Answer: Jordan worked for 10 hours and Sydney worked for 6 hours.
Step-by-step explanation:
Let x represent the number of hours
that Jordan worked.
Let x represent the number of hours that Sydney worked.
Jordan can iron 20 shirts per hour, and Sydney can iron 25 shirts per hour. They ironed 350 shirts between them. It means that
20x + 25y = 350- - - - - - - - - - - 1
Jordan worked 4 more hours than Sydney. It means that
x = y + 4
Substituting x = y + 4 into equation 1, it becomes
20(y + 4) + 25y = 350
20y + 80 + 25y = 350
20y + 25y = 350 - 80
45y = 270
y = 270/45
y = 6
x = y + 4 = 6 + 4
x = 10
Answer:
x = 8
Step-by-step explanation:
If the line are parallel (those are the ones that dont cross) and a third line crosses both the parallel lines, you get the set up shown in your diagram. Which has EIGHT angles in it. But there's only two measures for all eight of these angles. Four of them are all equal to each other (and the other four all equal to each other) And the two numbers add up to 180°
Here 7x + 12 and 12x - 28 are a couple of the angles that are EQUAL TO each other.
7x + 12 = 12x - 28 Solve.
Subtract 7x from both sides.
12 = 5x - 28 add 28 to both sides.
40 = 5x divide by 5 on both sides.
40/5 = x
8 = x
Answer:
5
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4
Step-by-step explanation: