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raketka [301]
3 years ago
11

There are 30 businesses with 4 executives each for the new office building. Each business needs one office for each of its execu

tives. The building has 1,440 offices. What is the proportion of executives to offices?
Mathematics
2 answers:
aev [14]3 years ago
8 0

Answer:

The proportion is 4 : 1,440

Step-by-step explanation:

There are 30 businesses with 4 executives each.

1 business office for each executive.

There are 1440 offices in the building.

We need to find the ratio/proportion of executives to offices.

The number of executive = 4

The number of offices = 1440

Therefore, the proportion of executives to office would be  4 : 1,440

ad-work [718]3 years ago
7 0

1 executive to 360 offices

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El área de un cuadrado es de 625cm. Averigua cuánto mide el lado y cuánto mide el perímetro del cuadrado
Rzqust [24]

Respuesta:

Largo del lado = 25cm

Perímetro = 100 cm

Explicación paso a paso:

Área de un cuadrado = L²

L es la longitud del lado del cuadrado

Dado

Área del cuadrado = 625sq. cm

625 = L²

L = √625

L = 25

Por lo tanto, el lado mide 25 cm de largo.

Perímetro del cuadrado = 4L

Perímetro del cuadrado = 4 (25)

Perímetro del cuadrado = 100cm

Por lo tanto, el perímetro del cuadrado es de 100 cm.

4 0
3 years ago
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Pls help me with this maths question ​
VikaD [51]

Answer:

a.7/4x

b.2/3c

Step-by-step explanation:

4 0
2 years ago
Need to simplify (x^2y)^4
svlad2 [7]

Answer:

x^{8y}

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(x^{2y})^4 = x^{4*(2y)} = x^{8y}

4 0
3 years ago
If John has 1107 bars of chocolate and wants to give each of his 10 friends an even amount each, what would each friend get? Wha
Nutka1998 [239]
Divide 1107 by 10, for example:

1107/10= 110.7

The decimal point means the remainder, this means John will only get 7 chocolate bars. 

If You want it split evenly between ALL of them, divide by 1107 by 11, for example: 

1107/11= 100.6, which would leave six bars left, so I think the logical offer would be the first answer I gave you. 

I hope this helped! 
7 0
3 years ago
The numbers of teams remaining in each round of a single-elimination tennis tournament represent a geometric sequence where an i
Anit [1.1K]

Answer:

a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}

Step-by-step explanation:

We are given the following in the question:

The numbers of teams remaining in each round follows a geometric sequence.

Let a be the first the of the geometric sequence and r be the common ration.

The n^{th} term of geometric sequence is given by:

a_n = ar^{n-1}

a_4 = 16 = ar^3\\a_6 = 4 = ar^5

Dividing the two equations, we get,

\dfrac{16}{4} = \dfrac{ar^3}{ar^5}\\\\4}=\dfrac{1}{r^2}\\\\\Rightarrow r^2 = \dfrac{1}{4}\\\Rightarrow r = \dfrac{1}{2}

the first term can be calculated as:

16=a(\dfrac{1}{2})^3\\\\a = 16\times 6\\a = 128

Thus, the required geometric sequence is

a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}

4 0
3 years ago
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