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2 years ago

How do I do this number 5 and 6

Mathematics

1 answer:

grin007 [14]2 years ago

4 0

Answer:

5. 40

Step-by-step explanation:

(14) +(4x+6) = 8x

14 + 4x+ 6 = 8x

20 = 8x - 4x

4x = 20

x = 5

RT = 8x

= 8 * 5....since x = 5

= 40

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In the lab, Austin has two solutions that contain alcohol and is mixing them with each other. He uses 3 times as much Solution A

JulijaS [17]

Austin uses 435.714 milliliters of solution B to get a resulting mixture that has 244 milliliters of pure alcohol.

Step-by-step explanation:

Step 1; Assume solution B has 1x ml of liquid in it. As solution A has three times that of solution B, it has 3x ml of liquid.

Step 2; In solution A there is 12% of alcohol and solution B has 20% alcohol. So alcohol content in solution A is 12% of 3x = 0.12 x 3x and the alcohol content in solution B is 20% of x= 0.20 x 1x.

Step 3; Use this formula

$Concentration percent= \frac{(volume of solute)}{(volume of solution)} * 100$

here Volume of solute is the total of solution A and B= (0.12 x 3x) + (0.20 x 1x) which equals 0.56x. The volume of solution is 3x + 1x which equals 4x. Substituting numerator and denominators we get a volume of 14%.

Step 4;This 14% is the concentration of alcohol in the mixture of solution A and solution B which is given as 244 ml. If 14% is 244 ml then 100% equals 1742.857 milliliters. The total of solution A and B equal 4x which is 1742.857 milliliters. So we get solution A has 1307.1428 milliliters and solution B has 435.71428 milliliters of liquid.

6 0

3 years ago

How many angle degrees does a minute hand travel in 1 minute? What angle does an hour hand travel in 1 min?

Rama09 [41]

Answer:

The hour hand moves 360 degrees / 12 in an hour = 30 degrees.

It follows that in a minute it moves 30 degrees / 60 = 1/2 degree.

Therefore in a second it moves 1/2 degrees / 60 = 1/120 degree.

Step-by-step explanation:

3 0

3 years ago

A study of consumer smoking habits includes A people in the 18-22 age bracket (B of whom smoke), C people in the 23-30 age brack

madreJ [45]

The correct question is:

A study of consumer smoking habits includes 167 people in the 18-22 age bracket (59 of whom smoke), 148 people in the 23-30 age bracket (31 of whom smoke), and 85 people in the 31-40 age bracket (23 of whom smoke). If one person is randomly selected from this sample, find the probability of getting someone who is age 23-30 or smokes

Answer:

The probability of getting someone who is age 23-30 or smokes = 0.575

Step-by-step explanation:

We are given;

Number consumers of age 18 - 22 = 167

Number of consumers of ages 22 - 30 = 148

Number of consumers of ages 31 - 40 = 85

Thus,total number of consumers in the survey = 167 + 148 + 85 = 400

We are also given;

Number consumers of age 18 - 22 who smoke = 59

Number of consumers of ages 22 - 30 who smoke = 31

Number of consumers of ages 31 - 40 who smoke = 23

Total number of people who smoke = 59 + 31 + 23 = 113

Let event A = someone of age 23-30 and event B = someone who smokes. Thus;

P(A) = 148/400

P(B) = 113/400

P(A & B) = 31/400

Now, from addition rule in sets which is given by;

P(A or B) = P (A) + P (B) – P (A and B)

We can now solve the question.

Thus;

P(A or B) = (148/400) + (113/400) - (31/400)

P(A or B) = 230/400 = 0.575

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3 years ago

Kali runs 10 laps around a track each day. Each lap around the track is 400 meters. How many days will it take Kali to run a tot

ra1l [238]

It will take Kali 3 days, or 30 laps to run a total of 12 kilometers.

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3 years ago

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What is 6x10 to the negative third power

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60 to the negative 3 power

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