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Keith_Richards [23]
3 years ago
7

The price of a four-star dinner was $100 two decades ago. A report says that a dinner is 250% of what it was 20 years ago, how m

uch would it cost today?
Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

The dinner will cost $250 today.

<u><em>Explanation</em></u>

The price of a four-star dinner was $100 two decades ago and now the cost of the dinner is 250% of what it was 20 years ago.

So for finding the current cost, we will find 250% of $100 .

First we need to make 250% as decimal form after dividing it by 100. So....

250% = \frac{250}{100}= 2.50

Now we will multiply this 2.50 with $100 for getting the current cost of the dinner.

Thus, the current cost =(100* 2.50)dollar = 250 dollar



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The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo
kompoz [17]

Answer:

h = 12

x = 9

y= 16

Step-by-step explanation:

Given

The attached triangle

Required

Find h, x and y

Let the base of the triangle be 15.

So, the area is:

A = \frac{1}{2} * 15 * 20

i.e\ height = 20

A = \frac{1}{2} * 300

A = 150

Let the base of the triangle be 25.

So, the area is:

A = \frac{1}{2}  * 25 * h

i.e\ height = h

A = \frac{1}{2}  * 25h

Substitute A = 150

\frac{1}{2}*25h = 150

Solve for h

h = \frac{150 *2}{25}

h = 6 *2

h = 12

Considering the smallest triangle

Hypotenuse = 15

So:

15^2 = h^2 + x^2

15^2 = 12^2 + x^2

This gives:

15^2 - 12^2 = x^2

81 = x^2

Take square roots

9 =x

x = 9

Solving for y

x + y = 25

y= 25 - x

y= 25 - 9

y= 16

7 0
2 years ago
Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op
Anika [276]

Answer:

The probability that the maximum speed is at most 49 km/h is 0.8340.

Step-by-step explanation:

Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.

The random variable <em>X</em> is Normally distributed with mean, <em>μ</em> = 46.8 km/h and standard deviation, <em>σ</em> = 1.75 km/h.

To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.

The formula to convert <em>X</em> into <em>z</em>-score is:

z=\frac{X-\mu}{\sigma}

Compute the probability that the maximum speed is at most 49 km/h as follows:

Apply continuity correction:

P (X ≤ 49) = P (X < 49 - 0.50)

                = P (X < 48.50)

                =P(\frac{X-\mu}{\sigma}

*Use a <em>z</em>-table for the probability.

Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.

8 0
3 years ago
3x + 5 equals 19 - 4x what does x equals to
GenaCL600 [577]

Answer:

<h3>x = 2</h3>

Step-by-step explanation:

3x + 5 = 19 - 4x     <em>subtract 5 from both sides</em>

3x = 14 - 4x      <em>add 4x to both sides</em>

7x = 14    <em>divide both sides by 7</em>

x = 2

8 0
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Answer:

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Step-by-step explanation:

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2 years ago
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lana [24]
0.5 of a mile - since 5,280ft = 1 mile and half of 5,280 is 2,640
5 0
3 years ago
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