How do you do this math Question

Mathematics

1 answer:

pochemuha3 years ago

6 0

Remember
a/b time b/a=1
and
a/b times b=a

and when working with inequalities (> < > <)
flip the sign when dividding or multiplying by a negative number
so < becomes >, > becomes <

(3/5)e>9
multiply both sides by 5/3
e>45/3
e>15

x/-6>5
multiply both sides by -6 don't forget to flip sign
x<-30

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P P,Q and R can finish a task in 8, 10 and 12 hours respectivly.They started working together but after 3 hours, P and R left. H

zimovet [89]

Answer:

45 minutes

Step-by-step explanation:

Assume task completed in total x hours

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MA_775_DIABLO [31]

Answer:

One proportion to solve is 8/18 = x/8
Exact answer as a fraction: x = 32/9
Approximate answer in decimal form: x = 3.556

In reality, the 5's go on forever, but we have to round off somewhere.

========================================================

Explanation:

Break up the triangles as your teacher recommends. See the diagram below as to what I mean.

The smaller triangle has A = 8 as the horizontal side, and B = x as the vertical side

The larger triangle has C = 10+8 = 18 as the horizontal aside, and D = 8 as the vertical side.

We can form the proportion A/C = B/D.

A/C connects the horizontal sides (small/large) while B/D has the vertical sides tied together. The order of division is the same small over large. You could do large over small, but make sure you keep both sides consistent.

-----------------

Let's solve for x

A/C = B/D

8/18 = x/8

8*8 = 18*x .... cross multiply

64 = 18x

18x = 64

x = 64/18 .... divide both sides by 18

x = 32/9 exactly in fraction form

x = 3.556 approximately in decimal form

-------------------

Another proportion you can solve is A/B = C/D and you should get the same x value. It's the same as A/C = B/D because the B and C swap places. There are many other approaches you could take using different proportions.