Answer:
B is the answer.
Step-by-step explanation:
Answer:
1 slat every 2 minutes.
Step-by-step explanation:
James is able to paint 2 slats every 5 minutes.
James and Gabe together are able to paint the whole fence (180 slats) in 3 hours and 20 minutes (200 minutes)
The rate of 180 slats in 200 minutes is equal to 18 slats in 20 minutes, and is equal to 9 slats in 10 minutes.
The rate of James is 2 slats in 5 minutes, which is equal to 4 slats in 10 minutes.
Subtracting the rate of James and Gabe together (9 slats in 10 minutes) by the rate of James alone (4 slats in 10 minutes), we have the rate of Gabe, which is 5 slats in 10 minutes, or 1 slat in 2 minutes.
Answer: Graph D (bottom right corner)
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Explanation:
The equation y = 3x+3 is in slope intercept form y = mx+b
m = 3 = slope
b = 3 = y intercept
In this case, both the slope and y intercept are the same (though in general they tend not to be).
The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3
Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.
You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.
Set the equations equal to each other since the x will be the same. Get like terms on the same side and solve.
2x-5=-2/3x+3
2x-5+5=-2/3x+3+5
2x=-2/3x+8
2x+2/3x=-2/3x+2/3x+8
2 2/3x=8
8/3x=8
(3/8)8/3x=8(3/8)
x=3
x=3
Answer:
a = 10 cm
Step-by-step explanation:
Area of triangle, A = 51 cm²
base, b = 10.2 cm
Let height of triangle be a cm
<em><u>Formula:-</u></em>
hence, the missing length is 10 cm
