Paul says that in the number 6367 one 6 is 10 times as great as the other 6. is correct ? explain why or why not.

1 answer:

5 0

Paul is not correct. A good understanding of place value is important to solve this problem. From the left, you look at the ones, tens, hundreds, and thousands for place value. In the number 6367, one 6 is in the tens column and the other 6 is in the thousands column. This means that one six is 100 times as great as the other 6. If it was 10 times as great, it would be in the hundreds column.

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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

5 0

3 years ago

An exponentially function is expressed in the form y = axb^x . The relation represents a growth when _ and a decay when _ .

Sergio [31]

Answer:

The relation represents a growth when b>1 and a decay when 0<b<1

Step-by-step explanation:

Any function in the form $f(x)= a(b^x)$ , where a > 0, b > 0 and b not equal to 1 is called an exponential function with base b. If 0 1 is an example of exponential growth. An exponential function is expressed in the form $y=a(b^x)$ The relation represents a growth when b >1 and a decay when 0<b<1.