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ss7ja [257]
2 years ago
8

A sunscreen preparation contains 2.40 % by mass benzyl salicylate. If a tube contains 3.0 oz of sunscreen, how many kilograms of

benzyl salicylate are needed to manufacture 425 tubes of sunscreen?
Mathematics
1 answer:
belka [17]2 years ago
8 0
You need to know that:

1 ounce = 28.35 grams

So, 1 tube contains

3.0 oz × 28.35 = 85.05g total mass

Mass of Benzyl salicylate =

2.40/100 = Percentage of Benzyl salicylate (in numerical value)

= 0.024

0.024 × 84 = Mass of Benzyl Salicylate

=2.016g

If one tube contains

2.016g × 425 tubes

=856.8g

Then,

Converting into kg by (dividing by 1000)

=856.8 ÷ 1000

= 0.8568 grams

= 0.857g (3sf)
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The cost of a week long vacation in a city has a mean of 1000 and a variance of 1200. The city imposes a tax which will raise al
matrenka [14]

Answer:

The coefficient of variation after the tax is imposed is 0.033

Step-by-step explanation:

Given

\mu =1000 --- mean

\sigma^2 = 1200 --- variance

tax = 10\%

Required

The coefficient of variation

The coefficient of variation is calculated using:

CV = \frac{\sqrt{\sigma^2}}{\mu}

After the tax, the new mean is:

\mu_{new} = \mu * (1 + tax)

\mu_{new} = 1000 * (1 + 10\%)

\mu_{new} = 1100

And the new variance is:

\sigma^2_{new} = \sigma^2 * (1 + tax)

\sigma^2_{new} = 1200 * (1 + 10\%)

\sigma^2_{new} = 1320

So, we have:

CV = \frac{\sqrt{\sigma^2}}{\mu}

CV = \frac{\sqrt{1320}}{1100}

CV = \frac{36.33}{1100}

CV = 0.033

6 0
3 years ago
Write the standard form of the line that passes through the given points.<br> 4, 7) and (0, 7)
zubka84 [21]
(4,7)(0,7)

notice how ur points have the same y values....this means this is a horizontal line with a slope of 0.

equation is : y = 7...or y = 0x + 7...but we need it in standard form...
0x + y = 7 <== standard form

6 0
3 years ago
Graph the equation to solve the system y=2x-3 y=x+6
Aleksandr-060686 [28]
Y = x + 6
y = -3x + 6
put the system of linear equations into standard form
x - y = -6
-3x - y = -6
solution:
x = 0
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5 0
3 years ago
9/11 - 1/2 in it's simplest form​
Murrr4er [49]

Answer:

7/22

Step-by-step explanation:

Step 1: <u>Define/explain.</u>

To subtract fractions with different denominators, you must first find the least common denominator (LCM).

You can do this by listing the multiples of each denominator.

Step 2: <u>Solve.</u>

11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110

2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

22 is the LCM.

Now, we change the fractions to where they both have denominators of 22.

**REMEMBER: WHICHEVER NUMBER YOU MULTIPLY THE DENOMINATOR BY, YOU MULTIPLY IT BY THE NUMERATOR AS WELL!!**

9/11*2/2=18/22

1/2*11/11=11/22

Now, subtract as normal.

18/22-11/22=7/22

7/22 (simplified).

Step 3: <u>Conclude.</u>

Therefore, 9/11 - 1/2 = 7/22.

5 0
3 years ago
Please help and show work
sashaice [31]
The answer to the question is 14

x^4 + 14x^2 + 49


(x^2 + 7)^2

perfect square
3 0
3 years ago
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