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lubasha [3.4K]
3 years ago
9

The store is selling lemons at $0.58 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough l

emons to make two 9-inch lemon pies, each requiring half a cup of lemon juice?
Mathematics
1 answer:
avanturin [10]3 years ago
3 0

Answer:

$4.64

Step-by-step explanation:

1 cup = 16 tablespoons

\frac{1}{2} cup = 8 tablespoons

Each lemon yields about 2 tablespoons of juice. You need 8 tablespoons for one lemon pie, so you need 8\div 2=4 lemons for one pie and 4\times 2=8 lemons for two pies.

The store is selling lemons at $0.58 each, hence, 8 lemons will cost

\$0.58\times 8=\$4.64

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The ordered pair (36,4) is a solution to what equation?
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Y=X/9

If you plug in the point:

4=36/9
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Josh is planning a trip to the Dominican republic. He needs at least $1,200 cover airfare and his hotel. Josh has $800 and makes
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Answer:

x ≤ 0.80

Step-by-step explanation:

at least = ≤

x = each week

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Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de
enot [183]

Answer:

La altura del globo con respecto al suelo es 449,6 metros.

Step-by-step explanation:

La afirmación está incompleta. El enunciado completo es: "Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de depresión de 27°, mientras que para ver la ciudad B es de 36°. ¿Cuál es la altura aproximada del globo con respecto al suelo?

El diagrama geométrico de la situación se encuentra descrita en el archivo adjunto. La altura aproximada del globo puede obtenerse con ayuda de las funciones trigonométricas, en este caso, se recomienda utilizar la función tangente de los ángulos de depresión:

Ciudad A

\tan 27^{\circ} = \frac{h}{1500\,m-x}

0,510 = \frac{h}{1500\,m-x}

Ciudad B

\tan 36^{\circ} = \frac{h}{x}

0,727 = \frac{h}{x}

Donde h y x son la altura con respecto al suelo y la distancia horizontal con respecto a la ciudad A.

A continuación, se elimina la altura de ambas ecuaciones por igualación y se determina la distancia horizontal del globo con respecto a la ciudad A:

0,727\cdot x = 0,510\cdot (1500\,m-x)

1,237\cdot x = 765\,m

x = 618,432\,m

Finalmente, la altura del globo con respecto al suelo es:

h = 0,727\cdot x

h = 0,727\cdot (618,432\,m)

h = 449,600\,m

La altura del globo con respecto al suelo es 449,6 metros.

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