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3 years ago

Write an equivalent expression for 7(3 – X) + 15x

Mathematics

2 answers:

Vinvika [58]3 years ago

7 0

Answer:

-7x+15x+21

Step-by-step explanation:

Ne4ueva [31]3 years ago

5 0

Answer:

21+8x

Step-by-step explanation:

7(3 – X) + 15x

21-7x+15x

21(-7x+15x)

21+8x

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The Regency Hotel has enough space at its entrance for six taxicabs to line up, wait for guests, and then load passengers. Cabs

maksim [4K]

Answer:

The appropriate solution is:

(1) 22.81 minutes

(2) 0.171

Step-by-step explanation:

According to the question, the values will be:

The service rate of guess will be:

= $5+3.5$

= $8.5 \ minutes$

The mean arrival rate will be:

$\lambda =\frac{60}{5}$

$=7.5 \ cabs/hr$

The mean service rate will be:

$\mu= 7.05 \ cabs/hr$

(1)

The average time a cab must wait will be:

⇒ $W_q=22.95-\frac{1}{7.05}$

⇒ $=\frac{161.798-1}{7.05}$

⇒ $=\frac{160.798}{7.05}$

⇒ $=22.81 \ minutes$

(2)

The required probability will be:

⇒ $P(X\geq 6)=\frac{1-2.115}{1-7.5}$

⇒ $=\frac{-1.1115}{-6.5}$

⇒ $=0.171$

6 0

2 years ago

How many 1/5 liter glasses can fill with 1 1/2 liter bottle of water?

levacccp [35]

Answer:

7 glasses/bottles :)

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3 years ago

What is the 6th term of the geometric sequence shown?

solniwko [45]

Answer:

Step-by-step explanation:

subtract 20 from 40 it's Zero

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3 years ago

At the first meeting of the Tennis Club, the 7 members decided to have a tournament in which every player will play a match agai

mariarad [96]

Answer:

21 matches

Step-by-step explanation:

This is a combination problem where we have to select two member out of 7 members

So we want calculation of 7C2

7C2 = 7!/[(2!)(7-2)!]

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(7*6)/2 ~ Note everything that easily cancels here!

42/2

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3 years ago

An arc with length 5 pi over 4 inches is formed by a 15 degree central angle what is the radius of the circle

Natalka [10]

Answer:

Radius of the circle is 15 inches.

Step-by-step explanation:

Relation between length of arc, radius and the angle subtended by the arc on center is:

$\theta = \dfrac{l}{r} ..... (1)$

where $\theta$ is the central angle in radians subtended by arc

$l$ is the length of arc

$r$ is the radius of arc

We are Given the following details:

$l = \dfrac{5\pi}{4}\ inch$

$\theta = 15^\circ$

We know that $\pi \ radians = 180 ^\circ$

Converting $\theta$ to radians:

$\theta =\dfrac{\pi}{180} \times 15$ radians

Putting the values of $\theta$ and $l$ to find the value of $r$

$\dfrac{\pi}{180} \times 15 = \dfrac{5\pi}{4r}\\\Rightarrow r = \dfrac{45}{3} \\\Rightarrow r = 15 \ inches$

Hence, Radius of the circle is 15 inches.

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3 years ago