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3 years ago

Yolanda buys

Mathematics

1 answer:

Stells [14]3 years ago

3 0

Answer:

The unit price is 4.15 dollars per gallon

Step-by-step explanation:

- Yolanda buys 5.8 gallons of gas for $24.07

- We need to find the unit price in dollars per gallon

- Unit price means the price of each gallon

∵ The number of gallons = 5.8 gallons

∵ The price of the gallons = $24.07

∵ The unit price = the amount of money ÷ number of gallons

∴ The unit price = 24.07 ÷ 5.8

∴ The unit price = 4.15 dollars per gallon

* The unit price is 4.15 dollars per gallon

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Step-by-step explanation:

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Suppose xy=4 and dy/dt=-2. Find dx/dt when x=-3

nirvana33 [79]

Dy/dx = dy/dt * dt/dx

xy = 4

y + x(dy/dx) = 0 by implicit differentiation.

x(dy/dx) = -y

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3 years ago

Read 2 more answers

four 3 megawatt wind turbines can supply enough electricity to power 3000 homes. How many turbines would be required to power 55

fiasKO [112]

Answer:

The number of turbines is 74

Step-by-step explanation:

* Lets explain how to solve the problem

- Four 3 megawatt wind turbines can supply enough electricity

to power 3000 homes

∴ The number of turbines is 4

∵ Each turbine give 3 megawatt

∴ The four turbines give ⇒ 4 × 3 = 12 megawatt

- This quantity give enough electricity to power 3000 homes

∴ The number of homes for the 12 megawatt is 3000

- We need to find how many turbines can cover enough electricity

to power 55,000 homes, so we must to know the quantity of

electricity that be enough to power 55,000 homes

* Lets use the cross multiplication to solve the problem

∵ megawatt : number of homes

12 : 3,000

? : 55,000

- By using cross multiplication

∴ $?=\frac{(55,000)(12)}{3,000}=\frac{660,000}{3000}=220$

∴ The enough electricity to power 3000 homes = 220 megawatt

∵ Each turbine gives 3 megawatt

- Find the number of turbines divides the total megawatt by the the

megawatt of one turbine

∴ The number of turbines = 220 ÷ 3 = 73.3

- If we take 73 only the electricity will not be enough to cover all

homes, so we must to take 74 turbines

∴ The number of turbines is 74

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3 years ago