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hoa [83]
3 years ago
13

A chemist is mixing two solutions, solution A and solution B Solution A is 15% water and solution Bis 20% water. She already has

a
beaker with 10mL of solution A in it. How many mL of solution B must be added to the beaker in order to create a mixture that is 18%
water?
Mathematics
2 answers:
Vitek1552 [10]3 years ago
7 0

Answer: 15mL

<u>Step-by-step explanation:</u>

Create a table. Multiply across and add down. The bottom row (Mixture) creates the equation.

                  <u>  Qty  </u>   ×   <u>   %          </u>   =    <u>  Total           </u>

Solution A     10         15% → 0.15          10(0.15) = 1.5

<u>Solution B      x          20% → 0.20        x(0.20) = 0.20x</u>

Mixture      10 + x   ×    18% → 0.18   =    1.5 + 0.20x

                                  (10 + x)(0.18) = 1.5 + 0.20x

                                    1.8 + 0.18x  = 1.5 + 0.20x

                                    1.8               = 1.5 + 0.02x

                                    0.3              =          0.02x

                                                15  =  x

                   

slavikrds [6]3 years ago
4 0

Answer:

15 mL of the solution with 20% water will be needed.

Step-by-step explanation:

Use the inverse relationship

10 mL * (18-15)% = x mL * (20-18)%

x = 10 mL * (3/2) = 15 mL

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-6x + 5y = 1<br> 6x + 4y = –10
Firlakuza [10]

Answer:

x=-1

y=-1

Step-by-step explanation:

-6x + 5y =1 ......equation (1)

6x + 4y = –10 ......equation (2)

adding equation (1) to equation (2)

9y=-9

9y/9 =-9/9 (dividing both side by the coefficient of y)

y=-1

subtituting the value of y =-1 into equation (2)

6x+4(-1)=-10

6x+(-4)=-10

6x-4=-10

6x=-10+4(making constant to be at one side and the variable at the other side)

6x=-6

x=-6/6

x=-1

8 0
3 years ago
1/2 (?/10) + 1/2 (?/10) = ? - Reduced answer = ? Help Me Please ;-;
sashaice [31]
One half of something plus another half of something is equal to the thing
1/2x +1/2x = x
The reduced answer would be ?/10
7 0
3 years ago
tell which property the statement illustrates. please help with this question i will mark you brainliest!
QveST [7]

Associative property of addition.

6 0
3 years ago
(-3)-(-19) I got -22 am I right?
N76 [4]

Answer:

16

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
Can someone please help me.
Katena32 [7]
Given 
- f(n) values for n=1,2,3,4
- possible candidates for the function

Solution:
Method: Evaluate some of the values, for each function.  A function with ANY value not matching the given f(n) values will be rejected.

N=1, f(n)=4
f(1)=4-3(1-1)=4
f(1)=4+3^(1+1)=4+3^2=4+9=13 &ne; 4   [rejected]
f(1)=4(3^(n-1))=4(3^0)=4
f(1)=3(4^(n-1))=3(4^0)=3*1=3  [rejected]

N=2, f(n)=12
f(1)=4-3(2-1)=4-3(1)=1 &ne; 12   [rejected]
[rejected]
f(1)=4(3^(2-1)=4*3^1=4*3=12
[rejected]

Will need to check one more to be sure
N=3, f(n)=3
[rejected]
[rejected]
f(3)=4(3^(n-1))=4(3^(3-1))=4(3^2)=4*9=36   [Good]
[rejected]

Solution: f(n)=4(3^(n-1))










6 0
3 years ago
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