If jasper installs a floor himself, it will take him 7 hours. working with yolanda, it will take them 3 hours. if they work together, what is the missing value in the table that represents the part of the floor jasper will install?

The missing value can be obtained with help of the below explanation.

Step-by-step explanation:

Since, Jasper takes time to  installs a floor when he works alone = 7 hour

Thus, the total work done by him in one day = 1/7

While,  Working with Yolanda, He takes time = 3 hours

Therefore, the total work done by Yolanda and jasper simultaneously in one day = 1/3

Let Yolanda takes x days to complete the work in one day when he works alone.

Therefore, total work done by him in one day when he work alone = 1/x

Thus, the total work done by Yolanda and jasper simultaneously in one day = The total work done by Yolanda in one day when he works alone + total work done by jasper in one day when he work alone

⇒ 1/3 = 1/x + 1/7

⇒ 1/x= 1/3-1/7 ⇒ 1/x = 4/21

Thus, the work of jasper in one day = 4/21

And, his work in 3 day = 3 × 4/21 = 4/7  

Thus, The part of the floor Yolanda will install = 4/7

And, The part of the floor jasper will install = 1-4/7=3/7

1/7(3)

Step-by-step explanation:

Just combine terms

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

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