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slega [8]
2 years ago
14

A pond had 60 fish. 27 were carp and the rest were tench. 10 fish were added. The probability that a fish picked at random is a

carp is now 1/2 how many tench were added?
Mathematics
1 answer:
ivanzaharov [21]2 years ago
6 0

Answer: 2

<u>Explanation:</u>

A pond had 60 fish but 10 were added so now the pond has 70 fish.

The probability of choosing a carp is 1/2 so \frac{1}{2} (70) = 35 are now carp.  

There were 27 carp and now there are 35 carp so 8 carp were added.

10 fish were added and 8 of them were carp so 2 of them were tench.

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Which is the graph of the linear inequality 2x – 3y &lt; 12? On a coordinate plane, a solid straight line has a positive slope a
RoseWind [281]

Answer:

A dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

Step-by-step explanation:

To graph the solution set of the inequality 2x - 3y < 12, first plot the dashed line 2x - 3y = 12 (dashed because the inequality has sign < without notion "or equal to"). This line passes through the points (0,-4) and (3,-2) (their coordinates satisfy the equation of the line). this line has positive slope because

3y=2x-12\\ \\y=\dfrac{2}{3}x-4

and the slope of the line is 2/3.

Now, identify where the origin is (in the region or outside the region). Substitute (0,0) into the inequality:

2\cdot 0-3\cdot 0=0

This means coordinates of the origin satisfy the inequality, so origin belongs to the shaded region. Thus, shade that part which contains origin.

6 0
2 years ago
Read 2 more answers
A computer is normally $899 but is discounted to $799. What percent of the original price does Shawn pay?
Oksi-84 [34.3K]
<span>A computer is normally $899 but is discounted to $799.
Question: What percent of the original price does Shawn pay?
=> 799 dollars is the discounted price
=> 899 dollars is the original price
=> 899 – 799 = 100 dollars – the discount price that was deducted to the original price.
Solution
=> 100 / 899 = 0.11
=> 0.11 * 100% = 11%
Thus, the computer has a discount of 11%.</span>



4 0
2 years ago
A jar contains 0.85 liter of strawberry juice and 0.50 liter of mango juice. Celina poured 0.15 liter of watermelon juice into t
steposvetlana [31]

Original-drank+added=result

orignail=stwabery+mango+watermelon

original=0.85+0.50+0.15=1.5liter

drank=0.3

orignail-drank=result

1.5-0.3=drank=1.2liter

A. see above

B. addition and subtraction facts

3 0
2 years ago
Read 2 more answers
Find the solution of this system of equations -2x + 8y = 14 -2x – 2y = -26
Elodia [21]
X cancels out, 8y + 2y is equal to 10y, and 26 + 14 is 40, so y=4
5 0
2 years ago
Read 2 more answers
Wade bicycles at a speed of 10 miles an hour and arrives at his office in only 15 minutes. What is the distance in miles to his
bulgar [2K]

Answer:

The distance to his office is 2.5 miles.

Step-by-step explanation:

Given : Wade bicycles at a speed of 10 miles an hour and arrives at his office in only 15 minutes.

To find : What is the distance in miles to his office?

Solution :

The relationship between distance, speed and time is

\text{Distnace}=\text{Speed}\times \text{Time}

The speed of bicycle is 10 miles per hour.

Time taken is 15 minutes.

Converting into hours,

1 hour = 60 minutes

1 minute = \frac{1}{60} hours

15 minute = \frac{15}{60} hours

15 minute = 0.25 hours

Substitute the value sin the formula,

\text{Distnace}=10\times0.25

\text{Distnace}=2.5

Therefore, The distance to his office is 2.5 miles.

4 0
2 years ago
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