Three-fourths of the boats in the marina are white. 4/7 of the remaining boats are blue , and the rest are red . If there are 9red boats, how many boats are in the marina?

We first have to determine the fraction of the boats that are red

1 - ( $\frac{3}{4}$ + $\frac{4}{7}$ )

1 - $\frac{21 + 16}{28}$

1 - $\frac{37}{28}$

1 - 1 $\frac{9}{28}$

= 9/28

so, 9/28 of the boats are red

let b represent the total number of boats

9/28 x b = 9

to find b, divide both sides of the equation by 28/9

b = 28

5 0

2 years ago

Simplify <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%5E%7B2%7D%20%2B%2012x%20%2B%2036%20%7D%7Bx%5E%7B2%7D%20%2B%204x%20

kolbaska11 [484]

Answer:

(x-2)/(2x+8)

Step-by-step explanation:

The first step to solve this expression is to use a² - 2a b + b² = (a - b)² to factor the expression

Factor out 2 from the expression

Write 2x as a difference

Factor out x from the expression

Factor out -2 from the expression

Factor out x + 4 from the expression

Reduce the fraction with x - 2

Finally,, distribute 2 through the parenthesis to find your answer

This means that the correct answer to your question is (x-2)/(2x+8)

3 0

3 years ago

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4. Using the point-slope formula, what is the equation of the line that passes through the points (1, 5) and (0, 0)?

Mazyrski [523]

Answer: y=5x or 5x-y=0

4 0

3 years ago

Read 2 more answers