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3 years ago

95. A 20-gallon alcohol-water solution contains 15% pure alcohol. How much alcohol should

Mathematics

1 answer:

navik [9.2K]3 years ago

4 0

Answer:

1.25 gallons of alcohol

Step-by-step explanation:

Let x represent the amount of alcohol to add to the mix. Then the total amount of alcohol in the mix is ...

0.15×20 + x = 0.20×(20 +x)

3 +x = 4 + 0.2x . . . . simplify

0.8x = 1 . . . . . . . . . . add -3-0.2x

x = 1/0.8 = 1.25 . . . . divide by 0.8

1.25 gallons of alcohol should be added to make 21.25 gallons of 20% alcohol.

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The cost of a poster last year was $8.50 . This year the poster costs $10.00. What is the percent increase of the poster ?

sesenic [268]

Answer:

17.6%

Step-by-step explanation:

The general formula for the percent change of an amount:

$\frac{original-new}{original}x100=percentchange$

Using the amounts given:

$\frac{10 - 8.5}{8.5}x100=17.6percent$

8 0

3 years ago

BRAINLIEST!!!

Nutka1998 [239]

Answer:

$\frac{35}{48}$

Step-by-step explanation:

Probability: $Probability=\frac{favourable\ outcome}{total\ outcome}$

Probability of NOT 6:

$Total\ outcomes=\{1,2,3,4,5,6\}\\\\Number\ of\ total\ outcomes=6\\\\Favourable\ Outcomes= NOT\ 6=\{1,2,3,4,5\}\\\\Number\ of\ favourable\ outcomes=5\\\\P(NOT\ 6)=\frac{5}{6}$

Probability of NOT H:

$Total\ outcomes=\{A,B,C,D,E,F,G,H\}\\\\Number\ of\ total\ outcomes=8\\\\Favourable\ Outcomes= NOT\ H=\{A,B,C,D,E,F,G\}\\\\Number\ of\ favourable\ outcomes=7\\\\P(NOT\ H)=\frac{7}{8}$

Probability of NOT 6 and NOT H:

$Both\ events\ are\ independent\\\\P(NOT\ 6\ and\ NOT\ H)=P(NOT\ 6)\times P(NOT\ H)\\\\P(NOT\ 6\ and\ NOT\ H)=\frac{5}{6}\times \frac{7}{8}\\\\P(NOT\ 6\ and\ NOT\ H)=\frac{35}{48}$

6 0

3 years ago

In a certain math class, it is known that 18 students LOVE math review, and 5 students dislike math review. The teacher randomly

Alborosie

The probability that the first random choice will be a matho-file and not a -phobe is 18/23. The probability of the second one is 17/22, and for the third one it's 16/21. The probability of all 3 is 4,896/10,626 = (18x17x16)/(23x22x21). That's 46.1% (rounded).

7 0

3 years ago

Read 2 more answers

Write a quadratic function f whose only zeros are -3 and -12

emmasim [6.3K]

Answer:

Step-by-step explanation:

f(x) = (x + 3)(x + 12)

f(x) = x^2 + 3x + 12x + 36

f(x) = x^2 + 15x + 36

3 0

2 years ago

PLEASE HELP ASAP !!!

BartSMP [9]

You know that a straight line has an angle of 180 degrees;

48+x+x=180 <-- since they are all on the same time
48+2x=180
2x=180-48
2x=132
x=132/2
x=66

Therefore, the x value is 66 degree.

Hope I helped :)

8 0

3 years ago