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3 years ago

What is the minimum number of 60 passenger buses needed to transport 200 students?

1 answer:

6 0

The answer is 4. 3 busses would carry 180, so you gotta have that one extra bus. The question is set up to kind of throw you off but it's quite simple

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Mezclas de alimentos. Un chef repostero creó una solución de azúcar de 50 onzas constituida por 34% de azúcar con una solución d

Kay [80]

Answer:

Las cantidades empleadas para su preparación son: 15 onzas de solución al 20 % y 35 onzas de solución al 40 %.

Step-by-step explanation:

Podemos estimar la proporción de ingredientes mediante el siguiente promedio ponderado:

$0.34= \frac{0.2\cdot m_{A} + 0.4\cdot m_{B}}{m_{A}+m_{B}}$ (1)

Donde:

$m_{A}$ - Masa de la solución al 20 %, en onzas.

$m_{B}$ - Masa de la solución al 40 %, en onzas.

Podemos simplificar la formula como sigue:

$0.2\cdot x + 0.4\cdot (1-x) = 0.34$ (2)

Donde $x$ es la proporción de la solución al 20 % dentro de la solución final, sin unidades.

Ahora resolvemos para $x$ en (2):

$0.4-0.2\cdot x = 0.34$

$0.2\cdot x = 0.06$

$x = \frac{0.06}{0.2}$

$x = 0.3$

Este resultado quiere decir que la solución al 34 % es el resultado de 30 % de la solución al 20 % y 70 % de la solución al 40 %. Si conocemos que la solución final tiene una masa de 50 onzas, entonces las cantidades empleadas para su preparación son: 15 onzas de solución al 20 % y 35 onzas de solución al 40 %.

4 0

3 years ago

A supplier delivers an order for 20 electric toothbrushes to a store. By accident, three of the electric toothbrushes are defect

krek1111 [17]

Answer:

The probability that the first two electric toothbrushes sold are defective is 0.016.

Step-by-step explanation:

The probability of an event, say E occurring is:

$P (E)=\frac{n(E)}{N}$

Here,

n (E) = favorable outcomes

N = total number of outcomes

Let X = number of defective electric toothbrushes sold.

The number of electric toothbrushes that were delivered to a store is, n = 20.

Number of defective electric toothbrushes is, x = 3.

The number of ways to select two toothbrushes to sell from the 20 toothbrushes is:

${20\choose 2}=\frac{20!}{2!(20-2)!}=\frac{20!}{2!\times 18!}=\frac{20\times 19\times 18!}{2!\times 18!}=190$

The number of ways to select two defective toothbrushes to sell from the 3 defective toothbrushes is:

${3\choose 2}=\frac{3!}{2!(3-2)!}=\frac{3!}{2!\times 1!}=3$

Compute the probability that the first two electric toothbrushes sold are defective as follows:

P (Selling 2 defective toothbrushes) = Favorable outcomes ÷ Total no. of outcomes

$=\frac{3}{190}\\$

$=0.01579\\\approx0.016$

Thus, the probability that the first two electric toothbrushes sold are defective is 0.016.

8 0

3 years ago

Write the verbal sentence as an equation. let y represent the number

viktelen [127]

Answer:

Marcus is picking songs to play during a slideshow. The songs are each 3\dfrac123

3, start fraction, 1, divided by, 2, end fraction minutes long. The slideshow is 31\dfrac1231

31, start fraction, 1, divided by, 2, end fraction minutes long.

Step-by-step explanation:

8 0

3 years ago

Carson has two cans of red paint. The first can contains 3 pints of red paint. The second can contains 4 16 pints of red paint.

allsm [11]

Answer: 1⁵/₈ pints

Step-by-step explanation:

First can contained 3¹/₄ pints and second can contained 6¹/₂.

To make them equal, first find the different;

= 6¹/₂ - 3¹/₄

= 6.5 - 3.25

= 3.25

Divide this difference by 2;

= 3.25/2

= 1.625

= 1⁶²⁵/₁₀₀₀

= 1⁵/₈ pints

If Carson pours 1⁵/₈ pints from the second Can, it would increase the first can to 4⁷/₈ pints whilst reducing the second can to 4⁷/₈ pints as well.

8 0

3 years ago

Find sin, where the angle is shown Give the exact value, not a decimal approximation

olga_2 [115]

Answer:

sinΘ = $\frac{24}{25}$

Step-by-step explanation:

sinΘ = $\frac{opposite}{hypotenuse}$

The opposite is 24, but we require the hypotenuse h

Using Pythagoras' identity

h² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )

h = $\sqrt{625}$ = 25

Thus

sinΘ = $\frac{24}{25}$

6 0

3 years ago