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Bingel [31]
2 years ago
14

How many liters of a 10% alcohol solution must be mixed with 40 liters of a 50% alcohol

Mathematics
1 answer:
inn [45]2 years ago
5 0

Answer:

13 \frac{1}{3}

Step-by-step explanation:

20+.1x=.4\left(40+x\right)

x=40/3 = 13 \frac{1}{3}

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D
kirza4 [7]

Answer:

12+k/5

Quotient is a quantity produced by the division of two numbers.

8 0
3 years ago
Suppose that six individuals are interested in taking part in a study relating BMI to a number of health outcomes. The following
posledela

Answer:

a) Mean = 27.65

Median = 27.645

b) Relative Frequency = 33.33%

Step-by-step explanation:

We are given the following data set:

25.78, 21.06, 36.54, 29.51, 18.96, 34.05

a) Mean and Median

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{165.9}{6} = 27.65

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

Sorted data: 18.96, 21.06, 25.78, 29.51, 34.05, 36.54

\text{Median} = \displaystyle\frac{25.78 +29.51}{2} = 27.645

b) BMI above 30 is considered obese

Frequency of obese in the given sample = 2

Relative Frequency =

\displaystyle\frac{\text{Frequency of obese}}{\text{Total number}} = \frac{2}{6} = 0.3333 = 33.33\%

5 0
2 years ago
The starting and stopping point for Amir’s run this morning are 0.5 inch apart on the map. If each inch on the map represents 3
Aleonysh [2.5K]
Amir ran 1.5 miles in the morning.
7 0
3 years ago
Read 2 more answers
Which is a secant of circle A?
sergey [27]

Answer: line CD (fourth choice)

====================================================

Let's go through the choices one by one

1) Segment AB is a radius, which is not a secant line. We can rule this out.

2) line DE is a tangent line which only touches the circle at exactly one spot. We need something that cuts the circle in 2 spots for it to be a secant line. This can also be crossed off the list.

3) segment HG is a chord, which is fairly close to a secant line, but it must extend infinitely in both directions. In other words, it needs to be a line instead of a line segment. This is crossed off the list.

4) line CD is a secant line. It is a geometric line in that it goes on forever in both directions (it's not a segment, and not a ray either). Also, this line crosses the circle at 2 points, which contrasts it from a tangent line. This is the answer we want.

7 0
3 years ago
-2/3 divided by -4/9
Anna35 [415]

Answer: 1.5

Step-by-step explanation:

4 0
2 years ago
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