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3 years ago

Find X and Y such that X + Y = 500 and the difference between X and Y is 100.

Mathematics

2 answers:

valina [46]3 years ago

5 0

Answer: X and Y = 300 + 200

Step-by-step explanation: Find two numbers that add up to 500 and make sure that you can subtract them and get 100.

zavuch27 [327]3 years ago

4 0

Answer:

X=300, Y=200

Step-by-step explanation:

If: X+Y=500,

Then Y = 500-X

IF X-Y=100,

Then:

X-(500-X)=100,

X-500+X=100,

2X-500=100,

2X=100+500

2X=600

X=300.

So,

X+Y=500,

300+Y=500

Y=500-300

Y=200

So:

X=300, Y=200

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Solve each equation for the variable

motikmotik

Answer:

X= -50

Step-by-step explanation:

Remove the parenthesis

multiply both sides by two

x - 6 = -56

Move the 6 to the other side

x = -56 + 6

x = -50

6 0

4 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%.

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

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.

5 0

4 years ago

5 POINTS !! ANSWER FASTTT

MariettaO [177]

N= 2

Substitute 2 in for n in expression

=(5 + n) ÷ (n - 1)
=(5 + 2) ÷ (2 - 1)
=7 ÷ 1
=7

If n= 2, the expression equals 7.

Hope this helps! :)

3 0

3 years ago

What is the standard deviation of the following data set rounded to the nearest tenth

bazaltina [42]

1, 1.12, 4, 1.28, 4.1, 5.3

To find standard deviation, first we have to find the mean of the data set.

To find mean we have to add them and divide it by the number of terms given. Here 6 numbers given.

Mean = (1+ 1.12 + 4 + 1.28 + 4.1 + 5.3)/6 = 16.8 / 6 = 2.8

Now we have to subtract the mean from each number and have to find square of it.

(1- 2.8)² = (-1.8)² = 3.24

(1.12-2.8)² = (-1.68)² = 2.8224

(4-2.8)² = (1.2)² = 1.44

(1.28 -2.8)² = (-1.52)² = 2.3104

(4.1 - 2.8)² = (1.3)² = 1.69

(5.3 - 2.8)² = (2.5)² = 6.25

Now we have to add them all.

3.24 + 2.8224 + 1.44+ 2.3104 + 1.69 + 6.25 = 17.7528

Now to get standard deviation we have to divide it by total number of terms which is 6 here and then have to find square root of it.

So, standard deviation =√[ (17.7528) / 6] =√(2.9588) = 1.720116

So the required answer is, standard deviation = 1.7 ( approximately to the nearest tenth)

The correct option is D.

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4 years ago

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Find X and Y such that X + Y = 500 and the difference between X and Y is 100.​

Find X and Y such that X + Y = 500 and the difference between X and Y is 100.