Jaquez completed 1/8 of his test in 3/5 hour. if jaquez's rate stayed the same, how much of his test was finished in one hour. show work!
(a) 3/40
(b) 1/24
(c) 1/12
(d) 5/24

Step-by-step explanation:

Let be the rate at which Jaquez completes his test.

Let part of test be completed by Jaquez in hours.

Then,

Given that Jaquez completed 1/8 of his test in 3/5 hour.

So,

To know how much he completes in one hour,substitute in the above equation.

So,

Jaquez completes of his test in hour

Option (d)

5/24

Explanation:  

Hour taken to complete 1/8  of his test=3/5 hour

Suppose r is the rate at which Jackuez completes his test

For completing the test in t hours

The equation is

y= r t

where y is the part of test which will be completed in t hour

with the information given

substituting the values

now when t=1 hour

substituting the value

hence at 1 hour his test was completed

answer: 0.1,0.85

step-by-step explanation:

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