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3 years ago

Francine uses \dfrac23

Mathematics

1 answer:

andrew11 [14]3 years ago

6 0

Answer:

Step-by-step explanation:

If Francine uses 1/3 cup of pineapple juice for every 1/2 cup of orange juice to make a smoothie then:

1/3 cup of pineapple = 1/2cup of juice

We need to know the amount he will use for 1 cup of Orange juice, say;

x cup of pineapple = 1cup of Orange juice

Equating both

1/3 cup of pineapple = 1/2cup of juice

x cup of pineapple = 1cup of Orange juice

Cross multiply

1/2 × x = 1/3 × 1

x/2 = 1/3

3x = 2

x = 2/3

Hence he will need 2/3 cups of pineapple for 1 cup of Orange juice

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State the domain and range of the following function.

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Which expression is equivalent to ^3√64a^6b^7c^9

xz_007 [3.2K]

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2 years ago

How would you answer this question?

grigory [225]

Answer: Choice B

If you lower your rates by 6% you will increase the number of occupancies by 12%

========================================================

Explanation:

Price Elasticity of Demand is found by dividing the percent change of demand over the percent change in price

$\text{Price Elasticity of Demand} = \frac{\% \text{ change in demand}}{\% \text{ change in price}}$

If the price drops 6% leads to a 12% increase in demand, then we get this elasticity

$\text{Price Elasticity of Demand} = \frac{\% \text{ change in demand}}{\% \text{ change in price}}\\\\\text{Price Elasticity of Demand} = \frac{12\% \text{ increase in demand}}{6\% \text{ drop in price}}\\\\\text{Price Elasticity of Demand} = \frac{12\%}{-6\%}\\\\\text{Price Elasticity of Demand} = \frac{0.12}{-0.06}\\\\\text{Price Elasticity of Demand} = -2\\\\$

The absolute value of that result is 2. We work backwards going from 2 to see the relationship between the 12% and 6%.

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Side notes:

Choice A is incorrect as a price elasticity of demand larger than 2 means we have elastic (rather than inelastic) demand.
Choice C is incorrect because while raising rates does bring in more money in certain situations, there's a limit to how much the price goes up before people stop showing up. The prices can't go up forever. Also, the fact we have an elastic product means people are either forgoing this hotel or finding a substitute.
Choice D is incorrect. Products with high demand elasticity usually have substitutes. Any slight change in the price leads people to seek cheaper options. Unless we're dealing with a small town there are usually multiple hotels to choose from.

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3 years ago

Mr. Jones is opening a restaurant. A town ordinance states that his

Crazy boy [7]

Answer:

(l = 2 ft, b = 48 ft ), (l = 4 ft, b = 24 ft ), (l = 8 ft, b = 12 ft ), (l = 16 ft, b = 6) (l = 32 ft, b = 3 ft ) are the set of possible length and breadth dimension for sign board.

Step-by-step explanation:

Let us assume the possible length of the sign board = a ft

And the possible width of the sign board = b ft

The maximum possible area covered by board = 96 sq ft.

Now,as we know, AREA OF A RECTANGLE = LENGTH x WIDTH

So, here:

Area of sign board = Possible ( length x Width) of board

⇒ 96 sq ft = a x b .......... (1)

Now, by prime factorization, 96 = 2 x 2 x 2 x 2 x 2 x 3

Now, also, 96 = 2 x 48 ⇒ a = 2 ft, b = 48 ft

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= 8 x 12 ⇒ a = 8 ft, b = 12 ft

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= 32 x 3 ⇒ a = 32 ft, b = 3 ft

As, all above mentioned values of a and b gives the area = 96 sq ft

Hence, these are the given possible dimensions of the sign board

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I hope I helped you

Keep learning and reviewing your times tables.

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Read 2 more answers