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kupik [55]
2 years ago
14

There are 312 fish at the aquarium in 3 different fish tanks. Each tank has the same number of fish. How many fish are in each t

ank? Write an equation to find the unknown. Then find the unknown.​
Mathematics
1 answer:
dmitriy555 [2]2 years ago
4 0

Answer:

312 \div 3 = x \\ x =  \frac{312}{3}  \\ x =  \frac{104}{1}  \\ x = 104 fish \: in \: each \: tank

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Find an expression equivalent to the one shown below.
TEA [102]

Answer:

  C)  1/6^32

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(b·c)

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

_____

Using these rules, your expression simplifies to ...

  6^8·6^(10(-4)) = 6^8·6^-40 = 6^(8-40) = 6^-32 = 1/6^32

6 0
3 years ago
Solve the system of equations using substitution y=x-1 and y=-2x+5
pav-90 [236]
Since the two equations equal y, set them equal to each other.

x-1=-2x+5

From there, solve for x.

First get x on one side, by using the addition property of equality.

x-1=-2x+5
3x-1=5

Isolate x by adding 1.
3x=6

Lastly get x all by itself by dividing each side by 3.
x=2

You can now substitute your x-value, 2, into one of the equations (or both, if you wish; either one will result in the same answer.)

y=x-1
y=2-1
y=1

OR

y=-2x+5
y=-2(2)+5
y=-4+5
y=1

Final answer:
x=2 and y=1

Any questions or anything you would like me to clarify, feel free to ask :)
7 0
3 years ago
Using the answers from z^4=16 determine the solutions of the equation (x+1)^4=16(x-1)^4​
Artemon [7]

i hope i have been useful buddy.

good luck ♥️♥️♥️♥️♥️.

4 0
3 years ago
2. Which of the following states that if the product of two real numbers is zero, then either of the two is
tatyana61 [14]

Answer:

b

B zero product property

4 0
2 years ago
Write an equation for a direct variation that includes the point (3, 18)
erma4kov [3.2K]
Direct variation means that the line goes through the origin of the graph, so you know that the line must go through point (0,0). Using that along with the given point, you can find the slope of the line.

m = \frac{y_2 - y_1}{x_2 - x_1}
m = \frac{18 - 0}{3 - 0}
m = \frac{18}{3}
m = 6

Now that you know the slope of the line you are looking for is 6, you can plug that into a point-slope form equation and find the equation of your line.

y - y_1 = m (x - x_1)   Plug in either set of coordinate. I chose (3, 18).
  y - 18 = 6 (x - 3)        Use he Distributive Property
  y - 18 = 6x - 18         Add 18 to both sides
        y = 6x

The equation of a direct variation line that includes the point (3, 18) is y = 6x.
  
3 0
3 years ago
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