Let x be the number of pens in a box.
Jill : three full boxes of pen and 2 loose pens. 3x + 2
Ben: two full boxes of pen and 14 loose pens. 2x + 14
Jill and Ben have the same pens.
Jill = Ben
3x+2 = 2x + 14
3x - 2x = 14 - 2
1x = 12
x = 12
To check:
Jill = Ben
3x + 2 = 2(x) + 14
3(12) + 2 = 2(12) + 14
36 + 2 = 24 + 14
38 = 38
There are 12 pens or a dozen of pens in a full box.
Answer:
wow this your first Q
Step-by-step explanation:
Answer:
Your answer would be Slope m = -3
Step-by-step explanation:
Step 1: Graph the points on a <u>coordinate plane</u>( <em>refer to image!)</em>
Whenever your trying to find a slope of 2 order pairs, remember this
m = rise/run. ( Slope = rise over run.) = Δy/Δx
Now we solve:
M = rise/run = Δy/Δx
M = y2 - y1/x2-x1
M = 5 - (-4) / -5-(-2)
<u>So we get M = 9/-3 and </u><u>9 divided by -3 is -3 </u>
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So, the slope of (-2,-4) and (-5,5) is -3.
4 1/5 should be your answer
Answer:
1 hour after they leave
Step-by-step explanation:
The distance each travels is proportional to its speed. The given speeds are at right angles to each other in a 5:12 ratio. The Pythagorean theorem tells you the hypotenuse of such a right triangle will have length ...
√(5²+12²)=√169 = 13
That is the speeds are in the ratio 5:12:13, where 13 represents the relative separation speed. Actual speeds are then 50 mph : 120 mph : 130 mph.
So the distance between the boat and steamer will be increasing at 130 mph. The distance will be 130 miles after 1 hour.
