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Damm [24]
3 years ago
5

Alexander is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can

hold 3 people, and large rooms that can hold 4 people. Alexander reserved 4 more large rooms than small rooms, which altogether can accommodate 58 guests. Determine the number of small rooms reserved and the number of large rooms reserved.
Mathematics
1 answer:
romanna [79]3 years ago
3 0

Answer:

Small rooms=6

large rooms=10

Step-by-step explanation:

Let the number of small rooms be x

given alexander booked 4 more large rooms than the small rooms.

Therefore the number of large numbers be x+4.

Given each small room can accommodate 3 people.Therefore the total number of people in small rooms are 3x

Given each large room can accommodate 4 people. Therefore the total number of people in large rooms are 4(x+4)

Given total number of people accommodated=58

Total number of guests =number of guests in small rooms + number of guests in large rooms

58=3x+4(x+4)

7x=42

x=6

therefore the number of small rooms =6  and  number of large rooms =10

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56,000 = 5.6 x 10^**4

Step-by-step explanation:

56,000 = 56 x 10,000

Inserting decimal:

56 x 1,000 = 5.6 x 10,000

Answer:

56,000 = 5.6 x 10^**4

( btw ^** means exponent )

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2 years ago
Use factoring and the zero-product property to solve the following problems.
NemiM [27]

Answer:

see explanation

Step-by-step explanation:

Divide through by 2

2a² - 5a + 3 = 0

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Consider the factors of the product of the coefficient of the a² term and the constant term which sum to give the coefficient of the x- term

product = 2 × 3 = 6 and sum = - 5

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2a(a - 1) - 3(a - 1) = 0 ← factor out (a - 1)

(a - 1)(2a - 3) = 0

Equate each factor to zero and solve for a

a - 1 = 0 ⇒ a = 1

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4 0
3 years ago
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If sinA = -4/5 and cosB = 12/13, where A and B are both in Quadrant IV, what is tan(A-B)?
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Step-by-step explanation:

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2 years ago
I will give u brainliest
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Answer:

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Step-by-step explanation:

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3 years ago
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Solve for xxx. Write the smaller solution first, and the larger solution second.
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Answer:

x=-5\text{ or }x=2

Step-by-step explanation:

We have been given an equation x^2+3x-10=0. We are asked to find the solutions of our given equation.

We will use splitting the middle term method to solve quadratic equation.

We will split middle term of our given equation into parts such that whose product is -10 and whose sum is 3.

We know that such two numbers are 5\text{ and }-2.

x^2+5x-2x-10=0

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