A supermarket employee is making a mixture of cashews and almonds. Cashews cost $7 per pound, and almonds cost $5 per pound. The employee wants to make less than 6 pounds of the mixture and wants the total cost of the nuts used in the mixture to be no more than $30.

Let x represent the number of pounds of cashews. Let y represent the number of pounds of almonds.

Which inequalities are among the constraints for this situation?

Because he needs less than (note that he didn't say he needs no more than) 6 pounds, first inequality is C) x+y<6

Now in inequalities that have 7 and 5 in them, 7 represents the cost of first ingredient and 5 the cost of second ingredient. If we multiply each of that number with quantity of that ingredient and sum both up we get the price of the mixture.

Because he says that he wants that mixture costs no more than 30 that means that it costs less than 30 but 30 can be the answer as well.

The last answer is E)  7x + 5y 

Step-by-step explanation:

the number of the people going.

step-by-step explanation:

the cost to buy one movie ticket is $7. if the total cost for the movie is a function of how many people go, then the input is : the number of the people going.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.