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Setler79 [48]
3 years ago
7

Pat was in a fishing competition at lake Pisces. She caught some bass and some trout. Each bass weighed 3 pounds. Each trout wei

ghed 1 pound. Pat caught a total of 30 pounds. She got 5 points in the competition for each bass, but since trout are endangered in lake Pisces, she lost 1 point for each trout. Pat scored at total of 42 points. How many bass and trout did pat catch during the competition?
Mathematics
1 answer:
erastova [34]3 years ago
7 0

Answer:

9\ bass  and  3\ trout

Step-by-step explanation:

Let

x-----> the number of bass

y----> the number of trout

we know that

3x+y=30 ----> equation A

5x-y=42 ----> equation B

Adds equation A and equation B

3x+y=30\\5x-y=42\\--------\\3x+5x=30+42\\8x=72\\x=9\ bass

Find the value of y

3(9)+y=30

y=30-27=3\ trout

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How would you write the equation with a slope of 2/3 and a y-intercept of (0,-3)?
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Answer:

y = (2/3)x - 3

Step-by-step explanation:

Slope-intercept form: y = mx + b

Note that:

y = (x , y)

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b = y-intercept.

The point is given to you. Note that:

(x , y) = (0 , -3) ∴

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The slope = m = 2/3

Plug in the corresponding numbers to the corresponding variable:

y = mx + b

-3 = (2/3)(0) + b

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Plug in -3 for b in the equation:

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3 years ago
How to write the slope intercept equation for points of (6,0) and (0,-5)?
Vadim26 [7]

Answer:

y=\frac{5}{6} x -5

Step-by-step explanation:

Hi there!

We are given the points (6,0) and (0, -5), and we want to write the equation of the line containing those points in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope of the line

The formula for the slope can be written as \frac{y_2-y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points

We have everything we need to find the slope, but let's label the points to avoid confusion

x_1=6\\y_1=0\\x_2=0\\y_2=-5

Now substitute these values into the formula

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-5-0}{0-6}

Subtract

m=\frac{-5}{-6}

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m=\frac{5}{6}

The slope of the line is 5/6

Let's plug this value into the formula for the equation of the line in slope-intercept form.

We substitute 5/6 for m in y=mx+b:
y=\frac{5}{6}x+b

Now we need to find b

As stated before, b is the y intercept, which is the value where the line hits the y axis. The value of x at the y intercept is 0.

One of the points we were given is actually the y intercept; that point is (0, -5); notice how the value of x in this point is 0

The value of b is the value of y in this point, which is -5 in this case.

Substitute -5 as b in the formula.

y=\frac{5}{6} x -5

Hope this helps!

See more on this subject here (n.b. the answer uses a different way of solving): brainly.com/question/20891204

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