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cupoosta [38]
3 years ago
5

A wholesale distributor of packaged nuts sells two different mixes of peanuts and cashews, mix A and mix B. Each package of mix

A nuts contains 8 ounces (oz.) of peanuts and 4 oz. of cashews. Each package of mix B nuts contains 6 oz. of peanuts and 6 oz. of cashews. Let x represent the number of packages of mix A nuts and let y represent the number of packages of mix B nuts. No more than 120 oz. of peanuts and no more than 96 oz. of cashews can be used each day. Which graph represents the numbers of packages of mix A and mix B that can be produced?

Mathematics
1 answer:
Tom [10]3 years ago
8 0

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of packages of mix A nuts and let y represent the number of packages of mix B nuts

Since 8 ounces (oz.) of peanuts is used to produce a package of mix A and 6 ounces (oz.) of peanuts is used to produce a package of mix B. Also, No more than 120 oz. of peanuts can be used each day. This can be represented by the inequality:

8x + 6y ≤ 120             (1)

4 ounces (oz.) of cashew is used to produce a package of mix A and 6 ounces (oz.) of cashew is used to produce a package of mix B. Also, No more than 96 oz. of peanuts can be used each day. This can be represented by the inequality:

4x + 6y ≤ 96            (2)

The inequality from equation 1 and equation 2 is graphed using geogebra online graphing.

If x, y ≥ 0, the solution to the problem is:

(0, 0), (0, 16), (15,0), (6, 12)

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A man has a collection of dimes and nickels with a total value of $1.70. if he has 8 more dimes than nickels how many of each co
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Answer:

Step-by-step explanation:

We first have to write an expression for each of the types of coins in terms of one of them.  If he has 8 more dimes than nickels, let's call nickels "x".  That means that dimes is "x + 8".  The value of a nickel is .05, so the expression relating the number of nickels to the worth of the nickel is .05x.  The value of a dime is .10, so the expression relating the number of dimes to the worth of the dime is .10(x + 8).  The total value of these coins is 1.70:

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Answer:

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Step-by-step explanation:

The discriminant  is 73, that means we have:

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