The given rates are in hours per gallon. If we rewrite them in terms of gallons per hour, we have ... ... Jenny + Penny = 1/2 . . . . gallon per hour

... Penny + Lenny = 3/5 . . . gallon per hour

... Jenny + Penny + Lenny = 1 . . . gallon per hour

Subtracting the 2nd equation from the last, we have ...

... (Jenny +Penny +Lenny) -(Penny +Lenny) = (1) -(3/5)

... Jenny = 2/5 . . . . gallon per hour

It will take Jenny 5/2 = 2.5 hours to eat a gallon of ice cream by herself.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

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

agree

step-by-step explanation:

55 because 55 + 55 = 110 good luck babe