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arlik [135]
3 years ago
5

Louisiana biologists tagged 250 fish in the oxbow lake False River on October 5. On a later date, they found 7 tagged fish in a

sample of 350 fish. Estimate the total number of fish in False River to the nearest hundred.
At a school, the school population is 2/5 boys. There are 450 boys in the school. How many total students are in the school?

A bag contains quarter and dimes in a ratio of 3:5. If there is $6 in quarters in the bag, how many dimes are there?
Mathematics
1 answer:
AleksandrR [38]3 years ago
8 0

1. Set up a ratio:

7 tagged / 350 fish = 250 tagged / x fish

Solve for x:

x = (350 * 250) / 7

x = 12,500 fish

2. Divide number of boys by the population ratio:

450 / 2/5 =  (450 *5) /2 = 2250 / 2 = 1125 total students.

3.  4 quarters = $1, so they have 24 quarters total.

The ratio 3:5 means for every 3 quarters there are 5 dimes.

24 quarters / 3 = 8

8 x 5 = 40 dimes.

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Find the solution of this system of equations -x-4y=-37 -2x-5y=-53
zzz [600]

Answer:

The solution in point form is (9,7) and the equation would be x+9, y=7

Step-by-step explanation:

By using moving the -4y to the right side and by flipping the signs you can turn the equation -x-4y=-37 into x=37-4y.

With this new equation you can use the substitution method and replace the x in -2x-5y=-53 with 37-4y, making it look like this: -2(37-4y)-5y=-53.

Then you solve for y getting y=7.

With the value of y, you can plug that into the equation x=37-4y so it will look like x=37-4(7)

Then you solve for x getting x=9

And with that you get the point (9,7)

7 0
3 years ago
What are the steps to factoring 6x^2+5x-6
Tanya [424]

Answer:

there is only one easy way to sole this

using quadratic equation

\frac{ - b + \sqrt{ {b}^{2}  - 4ac}   }{2a}  \\ and \: \:  \\ \frac{ - b  -  \sqrt{ {b}^{2}  - 4ac}   }{2a}

Step-by-step explanation:

a=6 b=5 c=-6

and by applying it to the equation you will get

x=0.66 and x=-1.5

7 0
4 years ago
Last week, the price of cherries at the corner deli was $4.99 per pound. This week, cherries at the same deli are on sale at a 1
ANEK [815]

Answer:

Your answer should be 15.905625, if it's not 15 percent off per pound.

Step-by-step explanation:

Multiply 4.99 x 3.75 then multiply that answer (18.7125) by .15

That will leave you with 2.806875, which then you subtract that from 18.7125

That will give you your answer, 15.90...

4 0
3 years ago
WILL GIVE BRAINLIEST!!!
givi [52]

Answer:

y = 3x + 1

Step-by-step explanation:

Since we know the Graph is Parallel to y = 3x + 11, we know that the "mx" portion of the equation is 3x since only the "b" would be different.

Then we just substitute in the point and to find b.

4 = 3(1) + b

b = 1

y = 3x + 1  is the answer

4 0
3 years ago
The sum of three consecutive even numbers is 42. what are the three numbers?
deff fn [24]

Answer:

12, 14, and 16

Step-by-step explanation:

Assume

1st number: x

2nd number: x+2

3rd number: x+4

(I'm adding 2 for each number because even numbers skip by 2)

The numbers add to 42, so

x+(x+2)+(x+4)=42

x+x+2+x+4=42

3x+6=42

3x=36

x=12

1st number: 12

2nd number: 12+2=14

3rd number: 12+4=16

12, 14, and 16

4 0
3 years ago
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