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Crazy boy [7]
3 years ago
5

Vicente has a prism- like water tank whose base area is 1.2 square meters. He bought 6 goldfish at the store and the store owner

told him to make sure their density in the tank isn’t more than 4 fish per cubic meter. What is the lowest possible height so the fish aren’t too crowded
Mathematics
1 answer:
navik [9.2K]3 years ago
3 0

Answer: 1.25 m

Step-by-step explanation:

Area of base = 1.2 m²

Number of gold fish = 6

Density of the tank should be = 4 fish/m³

Height of the tank= ?

4 fish = 1 m³

6 fish = 6/4 = 1.5 m³

Volume required for 6 fish is 1.5 m³

V = area of base x height (h)

1.5 = 1.2 x h

h = 1.25 m

Hence, height of the tank is equal to 1.25 m.

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Solve the quadratic equation by completing the square. 6x2 + 4x - 5 = 0
Nikitich [7]

Answer:

$x_{1}=-\frac{2+\sqrt{34}}{6}$

$x_{2}=-\frac{2-\sqrt{34}}{6}$

Step-by-step explanation:

Quadratic Equation given:

6x^2 + 4x - 5 = 0

Start dividing both sides by 6.

$\frac{6}{6} x^2 +\frac{4}{6} x - \frac{5}{6}  = \frac{0}{6} $

$x^2 +\frac{2}{3} x - \frac{5}{6}  = 0 $

$x^2 +\frac{2}{3} x = \frac{5}{6} $

Once, $\left( \frac{2}{3} \cdot \frac{1}{2} \right)^2=\frac{1}{9} $

$x^2 +\frac{2}{3} x+\frac{1}{9}  = \frac{5}{6}+\frac{1}{9}  $

$\left(x+\frac{1}{3} \right)^2 = \frac{17}{18}}  $

$x+\frac{1}{3}  =\pm\sqrt{\frac{17}{18}} }   $

Solving $\sqrt{\frac{17}{18}} $

$\sqrt{\frac{17(18)}{18(18)}}= \sqrt{\frac{306}{324}}=\frac{3\sqrt{34} }{18} =\frac{\sqrt{34} }{6} $

Then,

$x+\frac{1}{3}  =\pm\frac{\sqrt{34} }{6}  $

$x =-\frac{1}{3} \pm\frac{\sqrt{34} }{6}  $

$x_{1}=-\frac{2+\sqrt{34}}{6}$

$x_{2}=-\frac{2-\sqrt{34}}{6}$

6 0
3 years ago
There are 13 people on the city bus. At the first stop, four people get off and to get on. At the Second stop, six people get of
antiseptic1488 [7]

Answer:

9 people should get on stop 1.

Step-by-step explanation:

If i understood it correctly .

13 people on bus initially.

at first stop - 4 people get off . So 9 people should be on bus.

But few get in bus ( that is what is asked in the question - but it is not super clear to me)

after 2nd stop - there are 12 people on bus.

at 2nd stop  6 people got off.. so there were total of 18 on the bus

So if there were 9 people on bus stop by stop 1 .. so 9 people should have got in bus at stop 1 to make it equal to 18.

Only doubt i have is  : if the question is asking how many got on the 2nd stop.  also i was not clear what does this line means - At the first stop, four people get off and to get on.

6 0
3 years ago
Read 2 more answers
Whats the unit rate of 4 and 3/4
Vika [28.1K]

Answer:

3/16

Step-by-step explanation:

3 0
3 years ago
Find the distance between (-2, 8) and (11, 2). Round to the nearest hundredth.
andrew11 [14]

Answer: 14.32 units

Step-by-step explanation:

The formula for calculate the distance between two points is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

In this case, given the points (-2,8) and (11,2), we can identify that:

x_2=11\\x_1=-2\\\\y_2=2\\y_1=8

Therefore, we just need to substitute values into the formula in order to calculate the distance between the given points. This is (Rounded to the nearest hundred):

d=\sqrt{(11-(-2))^2+(2-8)^2}\\\\d=14.32\ units

7 0
3 years ago
Greer company pays jamal perry a salary of $2,200 per week. how much fica tax must greer pay on jamal's behalf, including both t
ludmilkaskok [199]
The fica tax rate from employer will be 7.65 % of the salary.

= 7.65 % x $ 2,200 

= $ 168.3 

Multiply it by 52 if you want yearly number
4 0
2 years ago
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