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3 years ago

If Beyoncé performed as many songs as

Mathematics

1 answer:

IceJOKER [234]3 years ago

6 0

Answer:

20 songs

Step-by-step explanation:

Robyn sang a total of 13 songs for a population of 62000 people, the per capita is the ratio of the total songs sang to the total number of people. Hence:

Robyn per capita = songs performed / population = 13 / 62000

Beyonce sang to a population of 91000 people, given that Beyonce and Robyn had the same per capita, therefore:

Beyonce per capita = songs performed / population

13/62000 = songs performed / 91000

songs performed = 13/62000 × 91000 = 19.08

songs performed ≈ 20 songs

Beyonce is expected to sing about 20 songs

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A boat travels 33 miles downstream in 4 hours. The return trip takes the boat 7 hours. Find the speed of the boat in still water

Paha777 [63]

Answer:

Speed of the boat in still water = 6.125 miles/hour

Step-by-step explanation:

We are given that a boat travels 33 miles downstream in 4 hours and the return trip takes the boat 7 hours.

We are to find the speed of the boat in the still water.

Assuming $S_b$ to be the speed of the boat in still water and $S_w$ to be the speed of the water.

The speeds of the boat add up when the boat and water travel in the same direction.

$Speed = \frac{distance}{time}$

$S_b+S_w=\frac{d}{t_1}=\frac{33 miles}{4 hours}$

And the speed of the water is subtracted from the speed of the boat when the boat is moving upstream.

$S_b-S_w=\frac{d}{t_2}=\frac{33 miles}{7 hours}$

Adding the two equations to get:

$S_b+S_w=\frac{d}{t_1}$

+ $S_b-S_w=\frac{d}{t_2}$

___________________________

$2S_b=\frac{d}{t_1} +\frac{d}{t_2}$

Solving this equation for $S_b$ and substituting the given values for $d,t_1, t_2$ :

$S_b=\frac{(t_1+t_2)d}{2t_1t_2}$

$S_b=\frac{(4 hour + 7hour)33 mi}{2(4hour)(7hour)}$

$S_b=\frac{(11 hour)(33mi)}{56hour^2}$

$S_b=6.125 mi/hr$

Therefore, the speed of the boat in still water is 6.125 miles/hour.

6 0

3 years ago

Read 2 more answers

Para la construcción de una cabaña en el campo don Samuel compró 7,943 clavos hasta el momento ha utilizado 473 ¿cuantos clavos

Kazeer [188]

Restando la cantidad utilizada de el total, tiene-se que 7470 clavos le quedan.

----------------------

En total, para la construcción, Samuel compró 7,943 clavos.
De toda esta cantidad, 473 fueron utilizadas.
La cantidad de clavos que le quedan es la subtracción da cantidad total por la utilizada, o sea, 7943 restado de 473.

$7943 - 473 = 7470$