7*24 = 168 quarts of water per day goes into barrel.
25*48 = 1200 quarts of waste water picked up
1200÷168 =7.142857143
Let x be the number of refrigerators
Y be the number of pianos
So the inequality:
300x + 475y < 7100
So substitute 12 and 8 to the inequality
300(12) + 475(8) < 7100
3600 + 3800 < 7100
7400 < 7100 is not true
So it will overload the truck
Take the LCM of the three numbers. Since 2 is a multiple of 4, you can ignore the two and just take the LCM of 4 and 3.5. Since 3.5 is a decimal, the LCM is just 3.5*4 which is 14. That is how many minutes after 8:00 they will flash together again.<span />
Answer:
m∠ABD = 88º
m∠CBD = 23º
Step-by-step explanation:
(-10x + 58) + (6x + 41) = 111
Combine like terms
-4x + 99 = 111
Subtract 99 from both sides
-4x = 12
Divide both sides by -4
x = -3
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m∠ABD = -10x + 58
m∠ABD = -10(-3) + 58
m∠ABD = = 30 + 58
m∠ABD = 88º
m∠CBD = 6x + 41
m∠CBD = 6(-3) + 41
m∠CBD = -18 + 41
m∠CBD = 23º
