The fish tank has 60 fish. 12 the fish have spots. What percent of the fish have spots?

Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (-3,5) and parallel to x + 4

Dmitry [639]

Answer:

$\boxed{\sf Standard-form :x + 4y -17=0 }\\$

$\boxed{\sf Slope-intercept\ form :y =\dfrac{-1}{4}x +\dfrac{17}{4}}$

Step-by-step explanation:

Here a equation of the line is given to us and we need to find out the equation of line which passes through the given point and parallel to the given line , the given equation is ,

$\longrightarrow x + 4y = 7\\$

Firstly convert it into slope intercept form of the line which is y = mx + x , as ;

$\longrightarrow 4y = -x + 7 \\$

$\longrightarrow y =\dfrac{-x}{4}+\dfrac{7}{4}\\$

On comparing it to y = mx + c , we have ,

$\longrightarrow m =\dfrac{-1}{4}\\$

$\longrightarrow c =\dfrac{7}{4}\\$

Now as we know that the slope of two parallel lines is same . Therefore the slope of the parallel line will be ,

$\longrightarrow m_{||)}=\dfrac{-1}{4}\\$

Now we may use point slope form of the line as ,

$\longrightarrow y - y_1 = m(x-x_1) \\$

On substituting the respective values ,

$\longrightarrow y - 5 =\dfrac{-1}{4}\{ x -(-3)\}\\$

$\longrightarrow y -5=\dfrac{-1}{4}(x+3)\\$

$\longrightarrow 4(y -5 ) =-1(x +3) \\$

$\longrightarrow 4y -20 = - x -3 \\$

$\longrightarrow x + 4y -20+3=0\\$

$\longrightarrow \underset{Standard \ Form }{\underbrace{\underline{\underline{ x + 4y -17=0}}}} \\$

Again the equation can be rewritten as ,

$\longrightarrow y - 5 = \dfrac{-1}{4}(x +3) \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{3}{4}+5 \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{20-3}{4} \\$

$\longrightarrow \underset{Slope-Intercept\ form }{\underbrace{\underline{\underline{ y =\dfrac{-1}{4}x +\dfrac{17}{4}}}}}\\$

6 0

2 years ago

Marco went to the cafeteria to buy chicken sandwiches, C, worth $2.00, and hamburgers, h, worth $2.50.

yaroslaw [1]

Answer:

5 Hamburgers = $12.50 4 Chicken sandwiches $8.00( $12.50 + $8.00 = $20.50

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

If Martha and Howard are 5 hours into the marathon, how far has each person run?

vova2212 [387]

Answer: The Answer is 10

Step-by-step explanation:

8 0

3 years ago

Whats the awenser for (9m - 6)7

svet-max [94.6K]

(9m - 6)7
Distribute 7 to both sides
63m - 42
Add 42 to get 63m by itself
63m = 42
Divide both sides by 63
m = 42/63 or simplified, 2/3

7 0

3 years ago

You make picture frames to sell at the flea market; you spent $46 on supplies and you want to sell the frames for $8.50 each. Ho

BARSIC [14]

<h3>Answer: 6 Frames</h3>

Before we start, let us figure out what profit means?

Profit is the money you make.

Note: Income is the money you receive, and expenses are the money you spend on your business.

If you sold five frames, you would make: (8.50 x 5 = $42.50)

Note: $42.50 is not greater than your expenses, so you haven't make any profit yet.

If you sold six frames, you would make: (8.50 x 6 = $51.00)

Note: $51.00 is greater than your expenses, so you made some profit.

<h3>Additional Information</h3>

To find the money you made or your profit, simply subtract the money you received from your expenses.

$51.00 - $46.00 = $5.00

You only made $5.00, but to make a larger profit, you have to sell more frames.

<h3>Conclusion</h3>

I hope my explanation provided excellent aid. Oh, and you're welcome.

3 0

3 years ago