Translate this phrase into an algebraic expression. four less than the product of 19 and a number use the variable n to represent the unknown number.

(n*19)-4

Step-by-step explanation:

A product is the result of multiplication, so the product of a number (represented as n) and 19 would be n*19. Put these in parentheses, so that it remains organized and you don't become confused later.

Then 4 less would simply mean you subtract 4 from the product of n and 19.

(n*19)-4

4 <19n

Step-by-step explanation:

Four less than the product of 19 and a number

n to represent the unknown number.

n represents the unknown number

Product means multiplication

Product of 19 and a number means multiply 19 and a number

We know the unknown number is 'n'

so the product of 19 and a number is 19 * n

For less than we use < symbol

Four less than the product of 19 and a number

4 < 19*n

or 4 <19n

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

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200