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Kisachek [45]
3 years ago
15

A mixture of green paint requires 3/4 pint yellow paint and 2/5 pint blue paint. How many pints of yellow paint will be needed i

f the mixture contains one pint of blue paint
Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0

Answer:

1\frac{7}{8}

Step-by-step explanation:

Given:

A mixture of green paint requires 3/4 pint yellow paint and 2/5 pint blue paint.

Question asked:

How many pints of yellow paint will be needed if the mixture contains one pint of blue paint ?

Solution:

We will easily find quantity of yellow paint, will be needed in the mixture, contains one pint of blue paint by using unitary method:

By using \frac{2}{5} \ pint blue paint, yellow paint requires = \frac{3}{4} \ pint

By using 1 pint blue paint, yellow paint requires = \frac{3}{4} \div\frac{2}{5} \\

                                                                               =\frac{3}{4} \times\frac{5}{2} \\\\ =\frac{15}{8} \\\\ =1\frac{7}{8} \ pint

Thus, 1\frac{7}{8} pint yellow paint requires in the mixture with one pint of blue paint.

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ludmilkaskok [199]

Answer:a = - 2

b = - 3

c = 3

Step-by-step explanation:

a + 5b - c = - 20 - - - - - - - - - 1

4a - 5b + 4c = 19 - - - - - - - - - 2

-a - 5b - 5c = 2 - - - - - - - - - - - 3

Adding equation 1 and equation 2, it becomes

- 6c = - 18

c = - 18/ - 6 = 3

Multiplying equation 2 by 1 and equation 3 by 4, it becomes

4a - 5b + 4c = 19

-4a - 20b - 20c = 8

Adding both equations, it becomes

- 25b - 16c = 27

- 25b = 27 + 16c = 27 + 16 × 3

- 25b = 75

b = 75/- 25 = - 3

Substituting b = - 3 and c = 3 into equation 1, it becomes

a + 5 × - 3 - 3 = - 20

a - 15 - 3 = - 20

a - 18 = - 20

a = - 20 + 18 = - 2

5 0
3 years ago
Major league baseball salaries averaged $1.5 million with a standard deviation of $0.8 million in 1994. suppose a sample of 100
seropon [69]

Answer: The probability that the avg. salary of the 100 players exceeded $1 million is approximately 1.

Explanation:

Step 1: Estimate the standard error. Standard error can be calcualted by dividing the standard deviation by the square root of the sample size:

SE=\frac{0.8}{\sqrt{100}}=\frac{0.8}{10} = 0.08

So, Standard Error is 0.08 million or $80,000.

Step 2: Next, estimate the mean is how many standard errors below the population mean $1 million.

\frac{1 - 1.5}{0.08}

=-6.250

-6.250 means that $1 million is siz standard errors away from the mean. Since, the value is too far from the bell-shaped normal distribution curve that nearly 100% of the values are greater than it.

Therefore, we can say that because 100% values are greater than it, probability that the avg. salary of the 100 players exceeded $1 million is approximately 1.

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2 years ago
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stealth61 [152]

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4 0
3 years ago
Mika read a 405 page book in 6 hours. how many pages per minute did she read?
Annette [7]

Answer:

1.125 pages per minute

Step-by-step explanation:

Mika read a 405 page book in 6 hours.

6 hours is equivalent to

6 × 60 minutes = 360 minutes

Number of pages read per minute = 405/360

                                                         = 9/8 = 1.125 pages

Mika read 1.125 pages per minute.

5 0
2 years ago
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lozanna [386]

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4*6=24/2=12

10+12+12=34

6 0
2 years ago
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