How many ml of 1:4 solution and how many ml of sterile water are needed to prepare 600 ml of 1:20 solution ?

Answers

Answer 1
Answer:

Answer:

Approximately 143 mL of 1:4 solution and 457 mL of water

Step-by-step explanation:

A 1:4 solution has a concentration of 1/(1+4) = 1/5 or 20%.

Similarly, a 1:20 solution has a concentration of 1/(1+20) = 1/21 or 4.76%.

If x is the mL of 20% solution and y is the mL of water, then:

x + y = 600

1/5 x = 1/21 (600)

Solve:

x = 5/21 (600)

x ≈ 143

y ≈ 457

You need approximately 143 mL of 1:4 solution and 457 mL of water.


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Mrs. Johnson is buying every student in her math class a pencil and an eraser. Each pencil costs 25 cents and each eraser costs 15 cents. If x represents the number of students in Mrs. Johnson’s class, what is the equation for this

Answers

Answer:

Total amount spent by Mrs. Johnson :  T(x) = 25x + 15x

Step-by-step explanation:

Cost of each pencil =  25 cents

Cost of each eraser = 15 cents

x is the number of students in the class.

So, total cost of erasers purchased= 15x

and total cost of pencils purchased = 25x

Hence, Mrs, Johnson Spends total amount on eraser and pencil = 25x + 15x

or, total amount spent by Mrs. Johnson:  T(x) = 25x + 15x

On June 8,1999, the national debt of the U.s.a was about $5,608,000,000,000.the population of the United states at the time was about 273,000,000.Suppose the national debt was divided evenly among everyone in the U.S,how much would each person owe ?

Answers

To figure out the answer, you must divide the debt by the population.

(5,608,000,000,000)/(273,000,000) =20,542.12

Each person would owe $20,542.12.

Which description best describes the association between the years and population in this scatter plot?

Answers

Answer:

"moderate negative"

Step-by-step explanation:

 When two variables are correlated, a tendency, negative or positive, can be distinguished in the dispersion chart.

When the trend is positive it means that one variable increases when the other also increases.

When the trend is negative it means that one variable decreases as the other increases ..

The relationship between both variables can be strong or weak.

If the relationship is strong, the points in the scatter diagram will increasingly resemble a line (if it is a linear relationship).

If the relationship is weak, the points will be more and more scattered without any relation between them.

In this case it is observed that when the years increase the population decreases. Therefore it is a negative relationship. The distribution of the points resemble moderately to a straight line. Therefore, the correct option is "moderate negative"

Explain how 7/12 is greater than 1/3 but less than 2/3

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Multiply 1/3 by 4/4 (anything besides zero over itself is equal to 1) to get 4/12.
Multiply 2/3 by 4/4 to get 8/12.

7/12 is greater than 3/12 but less than 8/12.

Which set of numbers is ordered from least to greatest?A.{5,0,3.5,-0.4,-1}

B.{5,3.5,0,-0.4,-1}

C.{-1,-0.4,5,0,3.5}

D.{-1,-0.4,0,3.5,5}

Answers

D is your answer, it is ordered from least to greatest correctly

Suppose 20 mice want to form teams with an equal number of mice on each team. How many different-size teams can they form?

Answers

they can form 10 mice on an team because 10is half of 20