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Nadya [2.5K]
3 years ago
14

Each book in a store costs $8, and each pen costs $4. If you want to spend exactly $32, write the equation, in standard form, th

at represents modeling this situation. Let B represent the number of books you buy, and P represent the number of pens you buy.
Mathematics
1 answer:
Lena [83]3 years ago
5 0

Answer:

Step-by-step explanation:

Let B represent the number of books that you buy, and let P represent the number of pens that you buy.

If each book in a store costs $8 and each pen costs $4, it means that the cost of B books and P pens would be expressed as

8B + 4P

If you want to spend exactly $32, then the equation, in standard form, that represents modeling this situation is

8B + 4P = 32

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A corporation must appoint a president, chief executive officer, chief operating officer and chief financial officer. It also ap
erik [133]

Answer:

Part a: The number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: The number of ways in which the candidates can be appointed as members of the planning committee are 495.

Step-by-step explanation:

As the complete question is not given a similar question is found online and is attached herewith.

Part a: Number of ways in which 12 candidates can be appointed for President, Chief Executive Officer, Chief Operating Officer and Chief Finance Officer.

Number of Candidates=12

Number of Posts=4

As the order is important the number of ways are identified using Permutations given as

Number\,\ of\, ways=^{12}P_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!}\\Number\,\ of\, ways=\frac{12!}{8!}\\Number\,\ of\, ways=11880

So the number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: Number of ways in which 12 candidates can be appointed as members of the planning committee.

Number of Candidates=12

Number of Posts=4

As the order is not important the number of ways are identified using Combinations given as

Number\,\ of\, ways=^{12}C_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!4!}\\Number\,\ of\, ways=\frac{12!}{8!4!}\\Number\,\ of\, ways=495

So the number of ways in which the candidates can be appointed as members of the planning committee are 495.

8 0
3 years ago
Question 6<br> What is the additive inverse of 87? *<br> Your answer
polet [3.4K]

Answer:

Additive Inverse of 87 = -87

Step-by-step explanation:

Since the additive inverse of 87 is -87, additive inverse is also known as the opposite number. To get the additive inverse of a postive number you put a minus in front of it and to get the additive inverse of a negative number, you remove the minus to make it a positive number.

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3 years ago
In the Sahara Desert, one day the temperature was 58oC. On the same day, the temperature in Gobi Desert was -47oC. What is the d
rjkz [21]

Answer:

= 186 F

136 F is taken as the steam point

-50 F is taken as the ice point

∴ difference = steam point - ice point

= 136- (-50)

= 186F

3 0
3 years ago
Read 2 more answers
Find the surface area of the composite figure. Round the answer to the nearest tenth.
leonid [27]
The answer is 4 cm I think idk
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3 years ago
The combined weight of the people in the elevator is 49% of the 3,025 pound capacity. Which would be The best way to estimate th
qaws [65]

Answer:

Around 1,500 pounds

Step-by-step explanation:

Because you said "estimate," I will be estimating this.

49% rounds up to 50%

3,025 rounds down to 3,000

50% of 3,000 is 1,500 pounds.

8 0
3 years ago
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