1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nataly862011 [7]
2 years ago
12

How many liters of a 40% sugar solution must be mixed with 30 liters of a 60% sugar solution to make a 56 % sugar solution?

Mathematics
2 answers:
julia-pushkina [17]2 years ago
6 0

Answer

7.5 liters

Step-by-step explanation:

We need to make an equation.

40%, x liters

60%, 30 liters

=56%

0.40(x) + 0.60 (30) = 0.56 (x + 30)

0.40x + 18 = 0.56x + 16.8

18 - 16.8 = 0.56x - 0.40x

1.2 = 0.16x

7.5 = x

If this is correct, listen and stan BLACKPINK and BTS!!

konstantin123 [22]2 years ago
5 0

Answer:

7.5 liters of a 40% sugar solution

Step-by-step explanation:

Let

x ----> liters of a 40% sugar solution

Remember that

40\%=40/100=0.40\\60\%=60/100=0.60\\56\%=56/100=0.56

we know that

The amount of liters of a 40% sugar solution (x) multiplied by 0.40 plus the amount of liters of a 60% sugar solution (30 L) multiplied by 0.60 must be equal to the total amount of liters mixed (x+30) multiplied by 0.56

0.40x+0.60(30)=0.56(x+30)

solve for x

0.40x+18=0.56x+16.8\\0.56x-0.40x=18-16.8\\0.16x=1.2\\x=7.5\ L

You might be interested in
Melanie made 72 peanut butter cookies and oatmeal cookies. She wants to make identical groups of cookies for her friends. Each g
swat32
This depends on how many friends she has. Like if she has 72 friends each will get one of each, but if she has 3 friends than each will get 24 on each. Do you know how many friends she has?
7 0
2 years ago
Find the sum of the first 12 terms of the sequence 512, 256, 128, … This is infinite series notation, the answer is NOT 896...
postnew [5]

Answer:

1023.75

Step-by-step explanation:

The sum of a geometric sequence is

sum = a( 1 - r^n) / (1-r)

where a is the first term  r is the common ratio and  r^n is the nth term

We need to find the common ratio

r = 256/512 = 1/2

sum = 512 ( 1 - 1/2^12) / ( 1-1/2)

       =512( 1-.000244141) / (.5)

       =512(.999755859) /.5

     =1023.75

7 0
3 years ago
Read 2 more answers
in right triangle ABC, C is the right angle. Given measure of angle A = 40 degrees and a =6, which of the following are the leng
qaws [65]
Tan 40° = 6 / AC
AC = 6 / tan 40°
AC = 6 / .8391
AC = 7.15

AB² = 6² + 7.15²
AB² = 36 + 51.123
AB² = 87.12
AB = 9.33

 

3 0
3 years ago
Point Q’ is the image of Q (3,-4) under a reflection across the x-axis
7nadin3 [17]

Answer:

Q' (-3,4)

Step-by-step explanation:

A reflection across the x-axis would mean that only the x value of the point would change. This means that the y value would still be 4. To find the x value, just flip it to a negative. The negative of 3 is -3

5 0
3 years ago
Read 2 more answers
The width of a large, rectangular-shaped tree farm is 1.9 kilometers. The length of the farm is 4.4 kilometers. What are the bes
Vinvika [58]

Answer:

9 square kilometers

Step-by-step explanation:

Let's round the width to 2.0 kilometers, and round the length to 4.5 kilometers.

We know that area is length times width, so

A = lw

A = 2.0*4.5

<u>A = 9.0 square kilometers</u>

If we do this on the calculator, it's around 9.36 square kilometers, so our estimate was good.

6 0
3 years ago
Other questions:
  • Castroville Street and Vindale Avenue intersect. If the diagonal distance across the intersection is 10 meters and Castroville S
    9·1 answer
  • Billy stacked 6 pieces of wood on top of one another if each piece was 3/4 of foot tall how tall was his pile
    9·1 answer
  • Please help with the question 2 to 18
    11·2 answers
  • What’s the answer to the this problem 3(x-2)= 18
    15·1 answer
  • Does anyone know the answer to this ?
    9·1 answer
  • Mike was training for a marathon. On his first day, he ran 2.45 kilometers. On the second day, he ran 3.8 kilometers. How far di
    12·2 answers
  • PLEASE HELP!!
    8·2 answers
  • A. x+x+x+3x+3x=9<br> B. x+x+x+x+x=18<br> C. x+x+x+3x+3x=18<br> D. 9x^5=18
    5·1 answer
  • The following represents slopes of two lines. Which answer choice describes the two lines? m = 7 and m = -7
    6·1 answer
  • The points shown on the graph represent the numbers in
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!