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Makovka662 [10]
3 years ago
9

A pharmacist has an 18% alcohol solution and a 40% alcohol solution. How much of each should he mix together to make 10 liters o

f a 20% alcohol solution?
Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0
Lets call x the amount of 18% solution and y the amount of 40% solution, and write as equations the info of the problem:
18x + 40y = 10(20)
x + y = 10
lets multiply the second equation by -18 and add to the first:
 18x + 40y = 200
-18x -<span> 18y = -180
</span>----------------------
0 + 22y = 20
y = 20/22 = 10/11
and substitute in the original equation:
x <span>+ y = 10
</span>x = 10 - y
x = 10 - 10/11
x = 110/11 - 10/11
x = 100/11
so they have to use 100/11 liters of 18% solution and 10/11 liters of 40% solution
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Granny has taken up deep-sea fishing! Last week, she caught a fish so big that she had to cut it into 3 pieces (head, body and t
Marianna [84]

Answer:

54kg

Step-by-step explanation:

Body weight = B

Tail weight = T

Head weight = H

Total weight = F

Use equation = B + T + H = F

We are told that T = 9kg, H = T + (1/3) x B, B = H + T

We have 3 equations and 3 unknowns, solve the system of equations to find W.  

B = H + 9

H = 9 + 1/3 x (H+9)=9+H/3+3 --> 2/3 x H = 12  --> H = 18

B = 18 + 9 = 27

F = 18 + 27 + 9 = 54kg

4 0
3 years ago
is planning schedules for 30 students Sixteen students say they want to take French, 16 want to take Spanish, and 11 want to tak
ivann1987 [24]

Answer: There are 7 students who want French only.

Step-by-step explanation:

Since we have given that

Number of students is planning schedules = 30

Number of students who want to take French = 16

Number of students who want to take Spanish = 16

Number of students want to take Latin = 11

Number of students who take both  French and latin = 5-3 =2

Number of students who take French and Latin and Spanish as well = 3

Number of students who only want Latin = 5

Number of students who only want spanish = 8

According to venn diagram, we get that

a+b+g+f=16\\\\c+d+e+g=11\\\\b+e+f+g=16

So, it becomes,

c+d+e+g=11\\\\5+2+e+3=11\\\\e=11-(5+2+3)=1

Similarly,

b+e+f+g=16\\\\8+1+f+3=16\\\\12+e=16\\\\e=16-12\\\\e=4

Similarly,

a+d+g+f=16\\\\a+2+3+4=16\\\\a=16-(2+3+4)\\\\a=16-9\\\\a=7

Hence, there are 7 students who want French only.

6 0
3 years ago
Suppose that you had two squares, a small one and a large one. The area of the large square is twice that of the small square. H
WARRIOR [948]

Answer:

The side length of the large square is √2 times larger than the side length of the small square.

Step-by-step explanation:

Suppose we have a small square (square 1) and a large square (square 2). The area of the large square is twice that of the small square, that is,

A₂ = 2 A₁

A₂/A₁ = 2 [1]

The area of a square is equal to the length of the side (l) raised to the second power.

A = l²

l = √A

The ratio of l₂ to l₁ is:

l₂/l₁ = √A₂ / √A₁ = √(A₂/A₁)

We can replace [1] in the previous expression.

l₂/l₁ = √2

The side length of the large square is √2 times larger than the side length of the small square.

7 0
3 years ago
Winnie poured 14 cups of water into a rectangular container measuring 13 inches by 7 inches by 6 centimeters.
Dmitriy789 [7]
Part A: Max volume = Volume of container = 13 in x 7 in x 6 in = 546 in^3 
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14 cups = 14.4375 in^3 x 7 = 202.125 in^3 
Part C: Height of water = (202.125 in^3)/(13 in x 7 in) = 2.22 in.
3 0
4 years ago
What is the face value of 2 in the number 286?
devlian [24]

Answer:

200 or 2 I guess

Step-by-step explanation:

Ion really get wym by “ what is the face”

4 0
3 years ago
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