Answer:
282 bulbs
Step-by-step explanation:
Find how many bulbs there were by multiplying 47 by 6
47(6)
= 282
So, in the 47 boxes, there were 282 bulbs
Answer:
a=8b
Step-by-step explanation:
To do this we just need to isolate a
so we can multiply the equation by b
then we will get
a=8b
Answer:
(-4,9)
Step-by-step explanation:
To solve the system of equations, you want to be able to cancel out one of the variables. In this case, it'd be easiest to cancel out the x variables. To do this, you'll want to multiply everything in the first equation by 2 (2(x-5y=-49)=2x-10y=-98). Then, you can add the two equations together. 2x and -2x will cancel out, so you'll be left with -11y=-99. Next, solve for x by dividing both sides of the equation by -11, which will give you y=9. This is your y-coordinate! At this point, you're halfway to the answer as you just need your x-coordinate. It's not too difficult to find the x-coordinate, since you just substitute 9 into one of the equations. It doesn't matter which one you choose as you should get the same answer with both. I usually substitute the y-value into both equations, though, just to make sure I'm correct. Once you put the y-value into the equations, you should get x=-4 after solving it. :)
<span>Simplifying
X + 12 = 30
Reorder the terms:
12 + X = 30
Solving
12 + X = 30
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + X = 30 + -12
Combine like terms: 12 + -12 = 0
0 + X = 30 + -12
X = 30 + -12
Combine like terms: 30 + -12 = 18
X = 18
Simplifying
X = 18</span>
Answer:
Andrew has a cell phone plan that provides 300 free minutes each month for a flat rate of $19. For any minutes over 300, Andrew is charged $0.39 per minute. Let x be the number of minutes Andrew uses per month and f(x) be the charges based on Andrew's cell phone plan. If then If then first 300 minutes are free and each minute of next (x-300) minutes costs $0.39, therefore Hence, { 19 + 0.39(x - 300), x > 300
Hoped I helped