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chubhunter [2.5K]
3 years ago
6

the seventh grade class is putting on a variety show to raise money. it cost 700 dollars to rent the banquet hall that they are

going to use. if they charge 15 dollars for each ticket, how many tickets do they need to sell in order to raise 1000 dollars. Write an inequality and a solution to the inequality.
Mathematics
1 answer:
scoray [572]3 years ago
5 0

Answer:

67 tickets


hope it helps

Step-by-step explanation:

if they need to raise $1000 dollars and each ticket is $15 to find how many tickets need to be sold in order to meet their goal you would have to divide 1000 by 15 and you will get the number of tickets that need to be sold

1000 ÷ 15 = 66.6

so we would round in order to meet our goal so they need to sell 67 tickets


And if you wanna check your work you can multiply 67 by 15 and you should get the amount to reach their goal

67 x 15 =  $1005

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ELEN [110]
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x=5* \sqrt{3} =5 \sqrt{3}

This is the simplest radical form. Hope this helps! :)
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3 years ago
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A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 ite
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Answer:

45

Step-by-step explanation:

The order in which the items are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

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Combinations of 2 from a set of 10. So

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Step-by-step explanation:

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The production planner for Fine Coffees, Inc. Produces two coffee blends: American (A) and British (B). He can only get 300 poun
VladimirAG [237]

Answer:

P=2A+B where:

A= # of pounds of American blend and

B= # of pounds of British blend

Step-by-step explanation:

This is a linear programming problem. In order to solve it we need to determine how we are going to use the provided data and we need to keep in mind what we need to maximize (or minimize depending on the problem)

So, the problem states that "The goal of Fine Coffees, Inc. Is to maximize profits." This last sentence will tell us what the objective function will be. The objective function must model the desired value we want to maximize. So the objective function should represent the profits of selling the two tipes of cofee blends.

So this is the data the problem gives us:

"He can only get 300 pounts of Colombian beans per week and 200 pounts of Dominican beans per week." This part or the problem is talking about the amount of coffee beans he can get depending on its type. This will help us find the restrictions for our linear programming problem, so they are not necessary to state the objective function. Next it states:

"Each pount of American blend cofee requires 12 oz of Colombian beans and 4 oz. of Dominican beans, while a pound of British blend coffee uses 8 oz of each type of bean." Again, this data will help us find the restrictions for our linear programming problem, since they will tell us how much coffe we can manufacture, so they are not needed to find the objective function.

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We set A to be the number of pounds of American blend and B to be the number of pounds of British blend. So the profit for American blend is found by using the following equation:

P_{American}=$2.00*A

And the profit for the British blend is found by using the following equation:

P_{British}=$1.00*B

so the total profit is found by adding the two given profits, so we get:

P_{total}=P_{American}+P_{British}

or

P_{total}=$2.00A+$1.00B

which can be simplified to:

P=2A+B

which is our objective function.

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