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Anna71 [15]
3 years ago
7

You need a 15% acid solution for a certain test, but your supplier only ships 5% solution and 17.5% solution. If you need 20 lit

ers of 15% acid solution, how many liters of 5% and 17.5% solution do you need?
Mathematics
2 answers:
schepotkina [342]3 years ago
7 0

Answer:

4 liters of 5% and 16 liters of 17.5%

Step-by-step explanation:

:)

Nimfa-mama [501]3 years ago
6 0

Answer:

4 liters of 5% and 16 liters of 17.5%

Step-by-step explanation:

Let quantity of 5% be x liters and of 17.5% be y liters

x+y=20 hence y=20-x

Introducing percentages

0.05x+0.175(20-x)=0.15*20

0.05x+3.5-0.175x=3

-0.125x=-0.5

x=\frac {-0.5}{-0.125}=4

Therefore, y=20-x=20-4=16

You need 4 liters of 5% and 16 liters of 17.5% to achieve 20 liters of 15% acid solution

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Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye
svetlana [45]

Answer:

The required recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

Step-by-step explanation:

Mohamed decided to track the number of leaves on the tree in his backyard each year.

The first year there were 500 leaves

Year \: 1 = 500

Each year thereafter the number of leaves was 40% more than the year before so that means

Year \: 2 = 500(1+0.40) = 500\times 1.4\\

For the third year the number of leaves increase 40% than the year before so that means

Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\

Similarly for fourth year,

Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330

So there will be 10330 leaves in the 10th year.

3 0
3 years ago
Read 2 more answers
Which answer is correct and why?
Ivanshal [37]
The answer is C.) 62.
Subtract 28 from 180, leaving 152, then subtract 90 since it's a right triangle because 2 sides are equivalent, leaving 62.
3 0
3 years ago
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Please answer right away and don’t guess
ivolga24 [154]

im pretty sure the answer is 30

5 0
3 years ago
A recipe for lemonade calls for 1 cup of sugar and 5 cups of water how much sugar is used per cup of water ?
Alexxandr [17]

Answer:

1/5 cup of sugar is used for each cup of water

Basic math

Step-by-step explanation:

6 0
3 years ago
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Pls help me due in 10 mins
Charra [1.4K]

Solving as fractions, the amount of feet from each side of the wall would be: 4⅛ feet.

<h3>Solving Fractions</h3>

Given the following:

  • length of the wall = 10¾ feet
  • length of the picture = 2½ feet

Therefore:

Amount of feet from each side of the wall = [10¾ - 2½]/2

= [43/4 - 5/2]/2

= [(43 - 10)/4]/2

= 33/4 × 1/2

= 33/8

= 4⅛ feet

Therefore, solving as fractions, the amount of feet from each side of the wall would be: 4⅛ feet.

Learn more about fractions on:

brainly.com/question/17220365

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3 years ago
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