Answer:
The probability that both cards that are drawn are hearts is 1/17.
Step-by-Step-Explanation:
First off, know that there are 13 heart cards in the deck of 52 cards. Therefore, the chance of pulling a single heart card is 13/52. Let's say we do pull a heart card. Since there is no replacement for the heart card taken out of the deck, we now have 12 heart cards out of a deck of 51 cards. The chance of pulling out a heart card in now 12/51. To find the probability that both cards drawn out are hearts, multiply the two fractions together: (13/52)⋅(12/51)=156/2652=1/17.
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So hence, your answer is 1/17</h2>
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Answered by: FieryAnswererGT
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As a fraction it is 357/1000.
Simplify that it is 7/20
Your problem did not have an operator between the x and 1 so I did it as subtraction and addition. There was no answer choice -3 so D x=-9 is the answer
Answer:
A
Step-by-step explanation:
You can solve this problem by setting up a ratio. 5 pounds of flour makes 120 muffins, so the ratio of pounds of flour to muffins is 5:120=1:24. This means that you can make 24 muffins with 1 pound of flour. Multiplying both of these by 2, you get 24*2=48 muffins with two pounds of flour, or answer choice A. Hope this helps!
The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.
Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:
16 chairs; 24 tables
Time used = 16 x 12 + 24 x 15 = 192 + 360 = 552
Wood used = 16 x 8 + 24 x 20 = 128 + 480 = 608
15 chairs; 18 tables
Time used = 15 x 12 + 18 x 15 = 180 + 270 = 450
Wood used = 15 x 8 + 18 x 20 = 120 + 360 = 480
12 chairs; 28 tables
Time used = 12 x 12 + 28 x 15 = 144 + 420 = 564
Wood used = 12 x 8 + 28 x 20 = 96 + 540 = 636
18 chairs; 20 tables
Time used = 18 x 12 + 20 x 15 = 216 + 300 = 516
Wood used = 18 x 8 + 20 x 20 = 144 + 400 = 544
Therefore, the only option that meets the requirements of time and wood used is that of 15 chairs and 18 tables, whose economic benefit will be the following:
15 x 65 + 18 x 90 = X
975 + 1,620 = X
2,595 = X
Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.
