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Vitek1552 [10]
2 years ago
6

A fish tank contains 24 L of water. Water is added to increase the volume by 12.5%. What is the new volume of water in the tank?

Mathematics
1 answer:
Ronch [10]2 years ago
6 0

Answer:

27 L

Step-by-step explanation:

To find 12.5% of 24, move the decimal all the way to the left and multiply 24 by 0.125. You get 3, which is how much was added to the original volume.

24 + 3 = 27, which is the new volume.

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4) Suppose y varies inversely with the SQUARE ROOT of x.
Savatey [412]

Answer:

Variation equation: y = k/√x

constant of variation: 200

Variation Equation by plugging the value of k: y = 200/√x

Step-by-step explanation:

If y varies inversely with the SQUARE ROOT of x, then;

y = k/√x

If  x = 4, y = 100.

100 = k/√4

100 = k/2

200 = k

k = 200

Substitute into the expression

y = k/√x

y = 200/√x

7 0
3 years ago
I need the length of AC to the nearest 10th. If you can explain how you got it, that will be nice, but you don’t have too
Nezavi [6.7K]

Answer:

13.5

Step-by-step explanation:

\sin 64\degree = \frac{AC}{AB}\\\\AC = AB \sin 64\degree \\\\AC = 13.481910694\\\\AC \approx 13.5

4 0
3 years ago
Read 2 more answers
Square of a binomial x^2+2x+1
garik1379 [7]
To put an equation into (x+c)^2, we need to see if the trinomial is a perfect square. 
General form of a trinomial: ax^2+bx+c
If c is a perfect square, for example (1)^2=1, 2^2=4, that's a good indicator that it's a perfect square trinomial. 
Here, it is, because 1 is a perfect square.
To ensure that it's a perfect square trinomial, let's look at b, which in this case is 2. 
It has to be double what c is.
2 is the double of 1, therefore this is a perfect square trinomial. 
Knowing this, we can easily put it into the form (x+c)^2.
And the answer is: (x+1)^2.
To do it the long way:
x^2+2x+1
Find 2 numbers that add to 2 and multiply to 1. 
They are both 1.
x^2+x+x+1
x(x+1)+1(x+1)
Gather like terms
(x+1)(x+1)
or (x+1)^2.
3 0
3 years ago
You make punch for a party. The ratio og ginger ale to fruit juice is 8 cups to 3 cups. You decide to add 4 more cups of ginger
Dvinal [7]
To get the answer we can use proportion
8 ginger ----------------- 3 fruit
12 ginger ----------------x
Crossmultiply now
8x=12*3                /:8
x=\frac{12*3}{8}
x=<u />\frac{36}{8}  \\ x=4.5
To not change ratio we have to have 4.5 cups of fruilt juice. We initialy had 3, so we have to add 1.5 cup of fruit juice.
7 0
3 years ago
Please help ill give you 50 points
Verdich [7]

a. 3 × 10^0

b. 33. 6 × 10^0

c. 57. 6 × 10^2

d. 4. 0 × 10^-7

e. 7. 0 × 10^-1

<h3>What is scientific notation?</h3>

Scientific notation is simply a way of expressing numbers that are too large or small to be written in decimal form.

It may be referred to as standard index form or scientific form.

From the information given, we have;

a. 0. 000003 is written in standard form as;

= 3 × 10^-6 × 3 × 10^6

= 3 × 10^-6 + 3

= 3 × 10^0

= 3

b. 56, 000, 000. 00 is written in standard form as;

= 5. 6 × 10^7 × 6 × 10^-7

= 33. 6 × 10^7 -7

= 33. 6 × 10^0

= 33. 6

c. 8. 0 × 10^-3 × 7. 2 × 10^5

= 57. 6 × 10^-3 + 5

= 57. 6 × 10^2

d. 4. 0 × 10^-3 × 4. 0 × 10^-4

= 4. 0 ^ -3 +(-4)

= 4. 0 × 10^-7

e. 7. 0 × 10^3 × 7. 0 × 10^4

= 7. 0 × 10^ 3-4

= 7. 0 × 10^-1

Thus, scientific notation is also referred to as standard form.

Learn more about scientific notation here:

brainly.com/question/27862246

#SPJ1

5 0
1 year ago
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