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natima [27]
3 years ago
8

What is the solution to the equation?  5(8 + 7) = 5 • x + 5 • 7   A. x = 1   B. x = 5   C. x = 7   D. x = 8

Mathematics
1 answer:
Aleks [24]3 years ago
7 0
5(8+7)=5\cdot x+5\cdot7\\\\x=8\\\\Answer:D\\\\5\cdot x+5\cdot7=\underline{5}\cdot x+\underline{5}\cdot7=\underline{5}\cdot(x+7)=5\cdot(8+7)\iff x=8
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The formula to find the volume of a sphere is V=3.14r^3 where r is the
aniked [119]

divide by 3.14 on both sides first.

V/3.14 = r^3

Now cube root both sides.

3√(V/3.14) = r

r = 3√(V/3.14)

r is the cube root of v/3.14.

4 0
3 years ago
Examine the two similar triangles below solve for y need by 11:59 for final exam
Sloan [31]

Answer:

60

Step-by-step explanation:

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8 0
3 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
3 years ago
An elastic band. which is 72cm
Helen [10]

Initial length = 72 cm

Stretched length = 90 cm

Find the increased in length:

increase = 90 - 72 = 18

Find the percentage increase:

Percentage increase = change/original x 100

Percentage increase = 18/72 x 100 = 25%

Answer: The elastic band's length is increased by 25%

7 0
3 years ago
Please help and explain please urgent!!!!!!!
Ksenya-84 [330]

Answer:

90°

Step-by-step explanation:

If you look closely at ADB you see that it is a right triangle. This means that it has a 90° angle. It also means that it measures 90°.

3 0
3 years ago
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