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MAXImum [283]
2 years ago
6

What is the concentration of a new solution obtained by mixing 25ml of water with 125ml of a 20% salt solution in water?

Mathematics
1 answer:
expeople1 [14]2 years ago
5 0
Given that the concentration of salt in a 125 ml of salt solution is 20%, this means that the ratio of salt to water in the solution is 20 : 80 = 1 : 4.

Thus, the amount of salt in the 125 ml 20% salt solution is given by 20% of 125 = 0.2 x 125 = 25ml and the amount of water in the 125ml 20% salt solution is 125 - 25 = 100 ml.

When 25 ml of water is added to the 125 ml 20% salt solution, the new amount of water is 100 + 25 =125 and the amount of salt remain 25 ml.

Thus, the new volume of the solution is 125 + 25 = 150 ml and the proprtion of salt in the new solution is given by 25 / 150 = 0.1667

Therefore, the concentration of a new solution <span>obtained by mixing 25ml of water with 125ml of a 20% salt solution in water is 16.67%</span>
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Jenny runs a cake making business, she receives an order of 6 carrot cakes. How much mixed spice will she need for 6 cakes. The
sp2606 [1]
I'm pretty sure the answer is 9 mix spice, hope I helped!
4 0
2 years ago
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the length of the highway is 1500 miles. If 1 inch represents 150 miles, what is the length of the highway on the map?
NeX [460]

Answer:

10 inches.

Step-by-step explanation:

If 1 inch represents 150 miles, and there are 1500 miles covered by the map, then the length of the highway on the map is 10 inches.

4 0
2 years ago
The table below shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the sam
mash [69]

Answer:

<u>j = 2.5s</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

                Lemon juice (mL)      Sugar (gr)

Batch A        500                             200

Batch B         750                             300

Batch C       1,500                             600

2. Write an equation to describe the relationship between j, the amount of lemon juice in mL, and s, the amount of sugar in g.

Ratio = Amount of lemon juice/Amount of sugar

Ratio = 500/200 = 750/300 = 1,500/600

Ratio = 2.5

Now, we can write the equation, this way:

<u>j = 2.5s</u>

8 0
2 years ago
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A merry-go-round has a radius of 18 feet. If a passenger gets on a
bearhunter [10]

Answer:

The angle of rotation is 2.11 °

Step-by-step explanation:

Given as :

The radius of the round path = r = 18 feet

The length of the distance cover by wheel = l = 38 feet

Let The angle of rotation = Ф

Now, According to question

∵ length of the arc of a circle subtending an angle at center = Ф

So,

length of the distance cover by wheel = π × radius × \frac{\Theta }{180^{\circ}}

Since 180° = π radian

And π = 3.14

So, length of the distance cover by wheel = 180 °× radius ×  \frac{\Theta }{180^{\circ}}

i.e  l = r × Ф

Or,  Ф = \frac{l}{r}

Or,  Ф =  \frac{38 feet}{18 feet}

Or, Ф = 2.11 °

So, The angle of rotation =  Ф = 2.11 °

Hence, The angle of rotation is 2.11 °   Answer

6 0
2 years ago
in germany, VAT is at 19% Jeremy buys a calculator in germny for €58.31 This price includes VAT Find the amount of VAT paid by
Len [333]

We can use this equation to solve this problem:

<span>t=p+<span>(p⋅r)</span></span>

Where:

t is the total price paid: 58.31 for this problem

p is the price before taxes: What we are solving for in this problem.

r is the tax or VAT rate: 19% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 19% can be written as <span>19100</span> or 0.19.

Substituting and solving for p gives:

<span>58.31=p+<span>(p⋅0.19)</span></span>

<span>58.31=1p+0.19p</span>

<span>58.31=<span>(1+0.19)</span>p</span>

<span>58.31=1.19p</span>

<span><span>58.311.19</span>=<span><span>1.19p</span>1.19</span></span>

<span>49=<span><span>1.19p</span>1.19</span></span>

<span>49=p</span>

<span>p=49</span>

Now, we can find how much the VAT was by taking 19% of 49:

<span>19%×49=0.19×49=9.31</span>

Another was to solve this is to subtract the price without the tax or VAT from the total price giving:

<span>58.31−49=<span>9.31</span></span>

4 0
2 years ago
Read 2 more answers
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