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madreJ [45]
3 years ago
7

Doreen Schmidt is a chemist. She needs to prepare 24 ounces of a 11​% hydrochloric acid solution. Find the amount of 12​% soluti

on and the amount of 6​% solution she should mix to get this solution.
Business
1 answer:
Degger [83]3 years ago
8 0

Answer:

20 ounces of 12% solution and 4 ounces of 6% solution.

Explanation:

Let x be the quantity ( in ounces ) of 12% solution that is mixed with y quantity ( in ounces ) of 6% solution to obtain 24 ounces of 11% solution,

∵ Quantity of resultant solution = 24 ounces

⇒ x + y = 24

⇒ x = 24 - y ------(1)

Also, 12% of x + 6% of y = 11% of 24

0.12x + 0.06y = 0.11 × 24

12x + 6y = 264

From equation (1),

12(24-y) + 6y = 264

288 - 12y + 6y = 264

288 - 6y = 264

-6y = 264 - 288

-6y = -24

⇒ y = 4

Again from equation (1),

x = 24 - 4 = 20

Hence, 20 ounces of 12% solution and 4 ounces of 6% solution should mix to get this solution.

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Answer:

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Explanation:

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6 0
3 years ago
Consider the following marginal cost function. a. Find the additional cost incurred in dollars when production is increased from
weqwewe [10]

Answer:   (a) $197,500

(b) $ 189,500

Explanation:

Given : The marginal cost function : C′​(x)=4000−0.4x

To find the cost function, we need to integrate the above function with respect to x.

Now, the additional cost incurred in dollars when production is increased from 100 units to 150 units will be:-

\int^{150}_{100}\ C'(x)\ dx\\\\=\int^{150}_{100} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{150}_{100}\\\\=[4000(150)-\dfrac{0.4(150)^2}{2}-4000(100)+\dfrac{0.4(100)^2}{2}]\\\\=[600000-4500-400000+2000]\\\\=197500

Hence, the additional cost incurred in dollars when production is increased from 100 units to 150 units= $197,500

Similarly,  the additional cost incurred in dollars when production is increased from 500 units to 550 units :-

\int^{550}_{500}\ C'(x)\ dx\\\\=\int^{550}_{500} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{550}_{500}\\\\=[4000(550)-\dfrac{0.4(550)^2}{2}-4000(500)+\dfrac{0.4(500)^2}{2}]\\\\=[2200000-60500-2000000+50000]\\\\=189,500

Hence, the additional cost incurred in dollars when production is increased from 500 units to 550 units = $ 189,500

4 0
3 years ago
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Answer:

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Explanation:

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6 0
3 years ago
Read 2 more answers
Required information [The following information applies to the questions displayed below Kirkland Theater sells season tickets f
katrin [286]

The journal entry is as follows

Unearned ticket revenue Dr  $33,700

       To Ticket revenue  $33,700

(Being the unearned ticked revenue is recorded)

The computation is shown below:

= Number of seasons sold × Price of six events ÷ number of events held

= 3,370 × $60 ÷ 6

= 3,370 × $10

= $33,700

So we debited the unearned ticket revenue and credited the ticket revenue

4 0
3 years ago
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Ludmilka [50]

Answer:

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