15x^2+17x+2 factor out completely

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

* <em>Lets use the cross multiplication to solve the problem</em>

∵ megawatt : number of homes

12 : 3,000

? : 55,000

- <em>By using cross multiplication</em>

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

∴ 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

Which of the following shows the factors of 5x2 + 17x + 6? A. (5x + 1)(x + 6) B. (5x + 2)(x + 3) C. (5x + 3)(x + 2) D. (5x + 6)(

zysi [14]

Answer:

B. $(x+3)(5x+2)$

Step-by-step explanation:

The given quadratic trinomial is;

$5x^2+17x+6$

Comparing this to $ax^2+bx+c$ , we have a=5,b=17,c=6.

$ac=5\times6=30$

Two factors of 30 that add up to 17 is 15 and 2.

We split the middle term to obtain;

$5x^2+15x+2x+6$

We factor by grouping;

$5x(x+3)+2(x+3)$

Factor further

$(x+3)(5x+2)$

The correct answer is B.

5 0

4 years ago

Read 2 more answers

Maxwell Flooring started the year with total assets of $160,000 and total liabilities of $75,000. During the year, the business

juin [17]

Answer:

(A) $150,000

Step-by-step explanation:

As per the given data of the question,

Maxwell Flooring started the year with

Total Assets = $160,000

Total liabilities = $75,000

Revenues = $250,000

Expenses = $100,000

Dividends = $30,000

Stockholders' equity at the end of the year was given by formula:

SE = (Total Assets - Total Liabilities) + (Revenues - Expenses) - Dividends

Therefore,

SE = (Total Assets - Total Liabilities) + (Revenues - Expenses) - Dividends

SE = ($160,000 - $75,000) + ($250,000 - $100,000) - $30,000

SE = $205000

Now,

Stockholders' equity at the end of the year

= Net income - Dividend + Assets - Liabilities

$205000 = Net income - $30,000 + $160,000- $75,000

∴ Net income = $205,000 - $55000 = $150,000

Hence,The net income reported by Maxwell Flooring for the year = $150,000

5 0

3 years ago

PLEASE HELP ITS DUE TODAYYY

Bumek [7]

Answer:

(-3,10) (0,5) (3,0) (6,-5)

Step-by-step explanation:

x intercept = 3

y intercept =5

If brainiest is earned its greatly appreciated

6 0

3 years ago

3) Find the length of a rectangular lot with a perimeter of 92 m if the length is 8 m more than

Nikolay [14]

Answer:

26 m

Step-by-step explanation:

Perimeter = 92 m

Length = 8 m more than width

Width: 20 m

Therefore,

<h2>length=26 m</h2>

4 0

4 years ago