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goldenfox [79]
3 years ago
13

A chemist mixes 10 liters of 20% solution with x liters of a 35% solution. Which of the folling expressions represents the total

number of
liters in the mixture?
Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0

Answer:

(10 + x) liters represents the total number of liters in the mixture

Step-by-step explanation:

Here, we want to find and expression representing the total number of liters in the solution; we proceed as follows;

The simple answer here is the sum of the liters of both solutions.

Mathematically, that would be 10 + x liters

We should understand that we do not have anything to do with the concentration of either solution and thus, the total amount in liters of both will be 10 + x liters

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Factor completely<br> n^4 +8n^2 + 15 =
nata0808 [166]

Answer:

The factor form is n^4+8n^2+15 = \quad \left(n^2+3\right)\left(n^2+5\right)

Step-by-step explanation:

When it is required to factor the expression given in the problem, we have to first find a common term or terms, which will be found by either grouping the like terms or the splitting of the terms.

Now the expression that is given here is:

n^4 +8n^2 + 15

Now, here we will take:

u=n^2

Thus we will get:

n^4 +8n^2 + 15\\=u^2+8u+15

Now we will do the middle term split as follows:

u^2+8u+15\\=\left(u^2+3u\right)+\left(5u+15\right)\\=u\left(u+3\right)+5\left(u+3\right)\\=\left(u+3\right)\left(u+5\right)

Substituting back u=n^2 , we will have:

\left(u+3\right)\left(u+5\right)\\=\left(n^2+3\right)\left(n^2+5\right)

Hence, the required factor form of the given expression will be:

n^4+8n^2+15 = \quad \left(n^2+3\right)\left(n^2+5\right)

3 0
3 years ago
Elise is a project manager
gregori [183]

Answer:

£11.85

Step-by-step explanation:

In the question, we are told that:

In 2016 she earned a monthly salary of £2,100

In 2017 she had a 3% raise

This means 3% of £2,100

3/100×£2,100 = £63

This means her salary for 2017 =

£63 + £2,100 =£2,163

Step 2

We are told in the question that she worked 42 hours per week for 45 weeks in 2017

Since her monthly pay for 2017 = £2,163

She worked 42 hours per week

There are 7 days in one week

The number of hours she worked per day = 42 hours ÷ 7 = 6 hours per day

4.345 weeks= 1 month

The number of hours she worked per month = 42 hours × 4.345 weeks

= 182.49 hours.

We can say that for 182.49 hours she was paid = £2,163

Her average pay per hour is calculated as:

If 182.49 hours = £2,163

1 hour = represented by Y

Cross multiply

182.49Y = £2,163

Y = £2,163 ÷ 182.49

Y = £11.852704258

Approximately = £11.85

Therefore, Elise Average pay per hour for the year = £11.85

8 0
3 years ago
Read 2 more answers
Someone please i need help on my geometry homework !!!!
saveliy_v [14]

Answer:

x= 9

Step-by-step explanation:

13x+2+3x-4+5x-7=180

21x-9=180

21x=189

x=9

3 0
3 years ago
Jillian ran 40 miles in one week. Her friend Lacey ran the distance that Jillian ran. How many miles did Lacey run? Express your
vichka [17]

I'm SURE you left something out of the space between "ran" ... and ...
"the distance". But here in the Math category, it's our job to answer the
questions, not to fix them.

The question tells us that Jillian ran 40 miles, and that Lacey ran
the distance that Jillian ran.  We can logically conclude, therefore,
that Lacey ran 40 miles.

3 0
4 years ago
Please help with this question I really need it right now please show work and please if you don't understand this question plea
Zina [86]

Answer:a is the correct option

Step-by-step explanation:

The table is divided into columns for month, sales and expense

Total number of sales for four months is determined by adding up the sales for each month. It becomes

35.75+65.34+12.15+49.68= $162.92

Total number of sales for four months is determined by adding up the expenses for each month. It becomes

43.18+52.24+41.09+59.50=196.01

Profit or loss = total sales - total expenses

Therefore 162.92-196.01 = - $33.09

It's a loss because it is negative

8 0
3 years ago
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