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o-na [289]
3 years ago
12

Using six random samples, the average number of catfish in the samples was 5.7. If the total population of fish in the pond is 2

00, the proportion of catfish in the pond will be 5.7 20 = x 200 . What is the predicted number of catfish in the pond?
Mathematics
2 answers:
Nimfa-mama [501]3 years ago
8 0

Answer:57 = x

Step-by-step explanation:

Using the proportion given, there will be 57 catfish in the pond.

The proportion given to us is

5.7/20 = x/200

Cross multiply:

5.7*200 = 20*x

1140 = 20x

Divide both sides by 20:

1140/20 = 20x/20

57 = x

zheka24 [161]3 years ago
5 0
Using the proportion given, there will be 57 catfish in the pond.

The proportion given to us is
5.7/20 = x/200

Cross multiply:
5.7*200 = 20*x
1140 = 20x

Divide both sides by 20:
1140/20 = 20x/20
57 = x
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Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one sam
icang [17]
Advance=x

Same.day=y

x+y=35 so x=35-y

40x+30y=1250

40(35-y)+30y=1250

-10y=-150

y=15

x+15=35

x=20

Cost for Advance ticket: $20
Cost for Same-day ticket: $15



8 0
3 years ago
Read 2 more answers
Write an equation in slope intercept form of the line that passes through (3,8) and (1,-2)
rosijanka [135]

The actual answer is y = 5x - 7

4 0
2 years ago
The equation is solved. describe the property used in each solution.​
pashok25 [27]

Answer:

Step-by-step explanation:

1. multiplication property of equality.

2.division property of equality.

5 0
2 years ago
two coplanar lines that are perpendicular to the same line are parallel. a) always b) sometimes c) never
sergeinik [125]

<u>Answer:</u>

Two co planar lines that are perpendicular to the same line are always PARALLEL. So option A is correct.

<u>Explanation:</u>

Given:

  • Two lines are coplanar.
  • They are perpendicular to the same line  

To find:

whether they are parallel or not and choose the correct option from the given options.

Solution:

Now, we know that, slopes of perpendicular lines is -1

Then, \text{{slope of 1st line}}\times \text{{slope of perpendicular line}} = -1

\text{{slope of perpendicular line}} =\frac{- 1}{\text{{1st line slope}}}

similarly

\text{{slope of 2st line}}\times \text{{slope of perpendicular line}} = -1

\text{{slope of perpendicular line}} =\frac{- 1}{\text{{2st line slope}}}

Now, as both lines are perpendicular to same line, then, we have to equate above both of them.

Then, \frac{- 1}{\text{{1st line slope}}}= \frac{-1 }{\text{{2nd line slope}}}

1st line slope = 2nd line slope

Here, slopes of two lines are equal.

Hence, Two coplanar lines that are perpendicular to the same line are always parallel. So option A is correct.

6 0
3 years ago
katie has £1200. she gives 1/3 of the money to her sister. Then katie give 1/4 of the remaining money to her brother. how much m
lesantik [10]

Answer:

£600

Step-by-step explanation:

Katie gives 1/3 of the money to her sister.

1/3 of 1200 is 400, because 1200 divided by 3 is 400. So she gives 400 to her sister, which means she has 1200-400= 800 left.
When she gives 1/4 of the remaining to her brother, that means that we need to figure out how much 1/4 of 800 is. 800 divided by 4 is 200. So Katie gives 200 to her brother.

800 that she has remaining minus the 200 she gives to her brother leaves her with 800-200 = 600

3 0
1 year ago
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