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klasskru [66]
4 years ago
5

Ming wants to make a 40% sugar solution. She had already poured 3 L of a 80% sugar solution into a beaker. How many L of a 10% s

ugar solution must she add to this to create the desired mixture
Mathematics
1 answer:
jeyben [28]4 years ago
5 0

Answer:

Ming must add 0.375 L of a 10% sugar solution

Step-by-step explanation:

if 3 L = 80%

1.5 L should = 40% (since it is half of 80%)

and if 40 divided by 4 = 10%

1.5 also needs to be divided by 4

so 1.5 divided by 4 = 0.375

that means Ming must add 0.375 L of a 10% sugar solution

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6/5 divided by 3-[12+7]
kaheart [24]

Answer:

- 18.6

Step-by-step explanation:

4 0
3 years ago
A certain library charges a flat fee of $5 for any overdue book for the first x days the book is overdue, and an additional fee
bearhunter [10]

Answer: 5 (x > 12) or 5 + m(12 - x) (x < 12)

Step-by-step explanation:

flat fee $5 for first x days +

m dolars per day after x days

So, if x > 12, for 12 days the fee is $5 because it is a flat fee that do not depend of the numbers of day.

But, we do not know how many days x is, so

if x < 12, a person will pay, for 12 days, the m times the difference of the days passed x:

5 + m(12-x)

6 0
4 years ago
I have a two digit number the sum of the digits is 12 the first digit is 4 Less Than 3 times the second what is my number​
nignag [31]

Answer:

84

Step-by-step explanation:

Let the first digit = x

Let the second digit =y

x + y = 12

x + 4 = 3*y

===========

From the second equation, we learn that x = 3y - 4

Put that into the first equation.

3y - 4 + y = 12          Combine the left side

4y - 4 = 12                Add 4 to both sides

4y = 16                     Divide by 4

4y/4 = 16/4        

y = 4  

=================

x + 4 = 12

x + 4 - 4 = 12-4

x = 8

So the number is 84

3 0
3 years ago
How high is a tree that casts a 2222​-ftft shadow at the same time a 44​-ftft postpost casts a shadow which is 77​-ftft ​long?
Zina [86]

Answer: The height of the tree is 12.57 ft.

Step-by-step explanation:

The height of a thing is proportional to the its shadow.

Let H = Height and S = length of shadow

Then by equation direct proportion , \dfrac{H_1}{S_1}=\dfrac{H_2}{S_2}       (i)

Given : A tree that casts a 22 ft shadow at the same time a 4 ft postpost casts a shadow which is 7-ft ​long.

Put S_1=22 ,\ H_2= 4,\ \ S_2=7  in (i), we get

\dfrac{H_1}{22}=\dfrac{4}{7}\\\\ H_1=\dfrac{4}{7}\times22\approx12.57

Hence, the height of the tree is 12.57 ft.

8 0
4 years ago
Pls I need help with this
LiRa [457]

Answer:

third side = 4

Step-by-step explanation:

third side is hypoenuse as it is opposite to 90 degree.

using pythagoras theorem

(perpendicular)^2 + (base)^2 = (hypotenuse)^2

2^2 + (2\sqrt{3 )^2 = hypotenuse^2

4 + 4*3 = hypotenuse^2

16 = hypotenuse^2

\sqrt{16} = hypotenuse

4 = hypotensue

7 0
3 years ago
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