Which is equivalent to 3(x-4)-3(2x-7)=23

Mathematics

1 answer:

adelina 88 [10]2 years ago

4 0

Answer:

x= $-\frac{14}{3}$

Step-by-step explanation:

3x-12-6x+21=23

-3x+9=23

-3x=14

x= $-\frac{14}{3}$

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Working together, it takes two different sized hoses 35 minutes to fill a small swimming pool. If it takes 60 minutes for the la

almond37 [142]

L = rate of the large hose

S = rate of the small hose

we know the sum of their rates deliver the swimming pool filled up in 35 minutes, thus L + S = 35.

now, the large hose can do it in 60 minutes, that means that in 1 minute, the large hose has only done 1/60 th of the work.

the small hose can do the whole thing in S minutes, that means in 1 minute it has only done 1/S th of the whole work.

and since both of them working together can do it in 35 minutes, then in 1 minute they both have done 1/35 th of the whole job.

$\bf \stackrel{\textit{large's rate in 1 minute}}{\cfrac{1}{L}}+\stackrel{\textit{small's rate in 1 minute}}{\cfrac{1}{S}}=\stackrel{\textit{done in 1 minute}}{\cfrac{1}{35}} \\\\\\ \cfrac{1}{60}+\cfrac{1}{S}=\cfrac{1}{35}\implies \cfrac{S+60}{60S}=\cfrac{1}{35}\implies 35S+2100=60S\implies 2100=25S \\\\\\ \cfrac{2100}{25}=S\implies 84=S$