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LuckyWell [14K]
3 years ago
14

Question 5

Mathematics
1 answer:
geniusboy [140]3 years ago
7 0

Answer:

\frac{4}{9}

Step-by-step explanation:

To find this probability, we have to know:

  • How many numbers are there in between 5 and 8 inclusive?
  • How many total numbers are there?

We simply divide the first answer by the second one and get our probability.

So, the numbers are 5,6,7,8 ----- that is 4 numbers

How many numbers are there in total?  That is:

0, 1, 2, 3, 4, 5, 6, 7, 8, or 9  ------- 9 numbers

Thus, the probability is 4/9

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A chemist working on a flu vaccine needs to mix a 20% sodium-iodine with a 60% sodium to obtain a 70-milliliter mixture.Write th
Verdich [7]

Answer:

S(x)=-0.4x+42

The value of S(50) is 22 in means the amount of sodium iodine in the mixture is 22 when 50 milliliters of the 20% solution used.

Step-by-step explanation:

It is given that a chemist working on a flu vaccine needs to mix a 20% sodium-iodine with a 60% sodium-iodine to obtain a 70-milliliter mixture.

Let x be the number of milliliters of the 20% sodium-iodine.

Number of milliliters of the 60% sodium-iodine = 70-x

The amount of sodium iodine in the mixture is 20% of x and 60% of (70-x).

S(x)=0.20x+0.60(70-x)

S(x)=0.2x+42-0.6x

S(x)=-0.4x+42

Therefore,the required function is S(x)=-0.4x+42.

Substitute x=50 in the above equation.

S(50)=-0.4(50)+42

S(50)=22

The value of S(50) is 22 in means the amount of sodium iodine in the mixture is 22 when 50 milliliters of the 20% solution used.

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Solve the system of equations using the substitution method.
leva [86]

Answer:

The answer to your question is 1.- (37/2, -9/2)   2.-   g = 4  and h = 2

Step-by-step explanation:

Data

Equation 1     2x + 8y = 1

Equation 2       x = -3y + 5

Process

1.- Substitute equation 2 in equation 1

                    2(-3y + 5) + 8y = 1

Expand

                    -6y + 10 + 8y = 1

Solve for y

                     8y - 6y = 1 - 10

                             2y = -9

                               y = -9/2

2.- Substitute y in equation 2 to find x

                         x = -3(-9/2) + 5

Simplify

                         x = 27/2 + 5

                         x = 27/2 + 10/2

                         x = 37/2

Solution (37/2, -9/2)

2.-      

Equation 1      6g + 8h = 40

Equation 2     -6g + 2h = -20

Process

1.- Add both equations

Result

                       0   +  10h = 20

Solve for h

                                  h = 20/10

                                  h = 2

2.- Substitute h in Equation 1 to find g

                        6g + 8(2) = 40

Simplification

                       6g + 16 = 40

Solve for g

                               6g = 40 - 16

                               6g = 24

                                 g = 24/6

                                 g = 4

Solution   g = 4  and h = 2                

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