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r-ruslan [8.4K]
3 years ago
15

Brian rolls a fair dice and flips a fair coin.

Mathematics
1 answer:
Sergio [31]3 years ago
4 0

Answer:

The probability of obtaining a head is 1/2 or 50% chance.

The probability of obtaining a 2 is 1/6

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The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 80% p
Stolb23 [73]

Answer:

First type of fruit drinks: 48 pints

Second type of fruit drinks: 32 pints

Step-by-step explanation:

Let's call A the amount of first type of fruit drinks. 55% pure fruit juice

Let's call B the amount of second type of fruit drinks. 80% pure fruit juice

The resulting mixture should have 65% pure fruit juice and 80 pints.

Then we know that the total amount of mixture will be:

A + B = 80

Then the total amount of pure fruit juice in the mixture will be:

0.55A + 0.8B = 0.65 * 80

0.55A + 0.8B = 52

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.8 and add it to the second equation:

-0.8A -0.8B = -0.8*80

-0.8A -0.8B = -64

-0.8A -0.8B = -64

               +

0.55A + 0.8B = 52

--------------------------------------

-0.25A = -12

A = \frac{-12}{-0.25}

A = 48\ pints

We substitute the value of A into one of the two equations and solve for B.

48 + B = 80

B = 32\ pints

6 0
3 years ago
A class has 12 boys and 4 girls. What is the ratio of boys to girls written as a decimal?
ss7ja [257]

Answer:

C: 3.0

Step-by-step explanation:

You can write a ratio as a fraction (12/4). Write it as a fraction then just do the math.

12/4 = 3

6 0
3 years ago
Read 2 more answers
An otter weighs 7.4 kilograms. How many grams does the otter weigh? Use the number of zeros of the product when multiplying a nu
Naily [24]

Answer:

74

Step-by-step explanation:

So, what you have to do s 7.4 times 10 and then you get the anwser 74.

7 0
3 years ago
Find the value of x that makes lines u and v parallel. ​
omeli [17]

Answer:

x = 5

Step-by-step explanation:

From the picture attached,

If the lines u and v are parallel and a third line (transversal) is intersecting these lines at two distinct points,

Both the angles given in the picture, will be equal in measure as these angles are interior alternate angles.

16x = 15x + 5

16x - 15x = 5

x = 5

Therefore, x = 5 makes the lines v and u parallel.

3 0
3 years ago
Fill in the missing term in the equation. x/x^2-4x+4-x/x^2-3x+2=?/(x-2)^2(x-1)
emmainna [20.7K]
<span>           x                            x
-----------------  -  --------------------
x^2 -4x + 4            </span><span>x^2-3x+2

</span>           x                            x
= ----------------  -  --------------------
    (x -2)^2            (x - 2)(x - 1)

        x (x-1)  - x(x +2)                       
= ----------------------------
          (x -2)^2 (x - 1)

      x^2 -x -x^2 - 2x                    
= --------------------------
      (x -2)^2 (x - 1)

           -3x                    
= -----------------------
      (x -2)^2 (x - 1)

answer 
<span>missing term in the equation: -3x</span>
5 0
3 years ago
Read 2 more answers
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