Answer:
25 seconds
Step-by-step explanation:
Hi there!
In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.
For machine A:
For machine B:
So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:
Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:
The <em>bolts</em> unit cancell each other and we are left with <em>seconds</em>
So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.
Greetings!
2x + 3y = 6
3y = - 2x + 6
y = -2/3x + 2....slope here is -2/3
A parallel line will have the same slope
y = mx + b
slope(m) = - 2/3
(-2,3)...x = -2 and y = 3
now we sub, we r looking for b, the y intercept
3 = -2/3(-2) + b
3 = 4/3 + b
3 - 4/3 = b
9/3 - 4/3 = b
5/3 = b
ur equation is : y = -2/3x + 5/3 (slope intercept form)
y = -2/3x + 5/3
2/3x + y = 5/3
2x + 3y = 5 (standard form)
x= number of boys in the club because it is unknown.
x + 7= the number total number of girls in the club.
The slope of the graph shows the rate of change, or, in this case, the rate of depreciation, which you are told is $100 per year. So, depending upon the units used in your graph, the slope will be 100/1, and since it is a decrease as the years increase, it will have a negative slope, i.e. -100/1.
Or, if you had drawn your graph with units of $100 dollars on the y-axis, then you might say that the slope was -1 / 1.
The corresponding formula would of course be
y = 600 - 100t
where y = value after t years, and (if you are into calculus) differentiating would give you
slope = dy/dt = -100
<span>as noted above.</span>
The answer to this question is a equilater triangule
