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Vika [28.1K]
2 years ago
7

The ratio of tagged fish to untagged fish was 2 to 9. Ninety fish were tagged. How many fish were untagged

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
5 0

Answer:

405

Step-by-step explanation:

Since

2 : 9 = 90 : X

Then we know

9/2 = X/90

Multiplying both sides by 90 cancels on the right

90 × (9/2) = (X/90) × 90

90 × (9/2) = X

Then solving for X

X = 90 × (9/2)

X = 405

Therefore

2 : 9 = 90 : 405

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Gwen studies for 1.5 hours every night. What is the total number of hours Gwen studies for 5 nights
Darina [25.2K]
1 and 1/2 hours each night
1+1+1+1+1= 5
1/2+1/2+1/2+1/2+1/2= 2.5
5+2.5= 7.5
7.5 hours or & and a half
hope this helps
~L
6 0
3 years ago
Find the prime factorization of the number 26
Diano4ka-milaya [45]

Answer:

26 is a composite number. 26 = 1 x 26 or 2 x 13. Factors of 26: 1, 2, 13, 26. Prime factorization: 26 = 2 x 13.

4 0
3 years ago
Read 2 more answers
As part of his retirement strategy, John plans to invest $210,000 in two different funds. He projects that the moderately high r
Maslowich

Answer:

Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.

Step-by-step explanation:

Given John plans to invest $210,000 in two different funds. He projects that the moderately high risk investments should return, overtime 9% per year,while low risk investments should return about 4% per year.

He wants a supplemental income of$11,400 a year.

Let , he invested $x at 9% per year and $(210,000-x) at 4% per year.

interest=\frac{prt}{100}   p = principle , r = rate of interest and t = time

The interest earns at 9% per year= \frac{x\times 9\times 1}{100}

The interest earns at 4% per year=\frac{(210,00-x)\times 4 \times 1}{100}

According to the problem,

\frac{x\times 9\times 1}{100}+\frac{(210,00-x)\times 4 \times 1}{100}= 11400

\Leftrightarrow 9x+840000-4x=11400 \times 100

\Leftrightarrow 5x=1140000-840000

\Leftrightarrow x=\frac{300000}{5}

\Leftrightarrow x=60,000

Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.

7 0
2 years ago
Please help ASAP!! Thank you :D
bearhunter [10]

Answer:

Obtuse, scalene.

Step-by-step explanation:

In ΔSVU, one angle is 120° which is obtuse angle.

So, ΔSVU is a obtuse triangle.

All the sides  have different measurements. So, It is a Scalene triangle.

6 0
2 years ago
3(2x+1)=5(2-x)+3(x+4) <br><br> X=?
Len [333]
X=2 3/8 or you can write it x=2.375
8 0
2 years ago
Read 2 more answers
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