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
Ira Lisetskai [31]
3 years ago
14

A doctor orders 20 grams of a 52% solution of a certain medicine. The pharmacist has only bottles of 40% solution and bottles of

70% solution. How much of each must he use to obtain the 20 grams of the 52% solution?
Mathematics
2 answers:
blagie [28]3 years ago
8 0

Answer:

12 grams of 40% solution and 8 grams of 70% solution are mixed to get 20 grams of 52% solution.

Step-by-step explanation:

Given : A doctor orders 20 grams of a 52% solution of a certain medicine. The pharmacist has only bottles of 40% solution and bottles of 70% solution.

To find : How much of each must he use to obtain the 20 grams of the 52% solution?

Solution :

Let x be the required amount.

x amount is used to obtain 20 grams = 20-x

According to question,

x grams of 40% and (20-x) grams of 70% is equal to 20 grams of 52%.

x(40\%)+(20-x)(70\%)=20(52\%)

0.4x+20\times 0.7-0.7x=20\times 0.52

14-0.3x=10.4

0.3x=3.6

x=\frac{3.6}{0.3}

x=12

Therefore, The required amount is 12 grams.

and 20-x=20-12=8 grams

i.e, 12 grams of 40% solution and 8 grams of 70% solution are mixed to get 20 grams of 52% solution.

Anvisha [2.4K]3 years ago
4 0
Try, please, this:
1) Imagine, that pharmacist used 'x' gr. of 40% solution and 'y' of 70% solution.
Together (20 gr. of 52% sol.) it will be x+y=20.
2) From other side, the pharmacist combined 40x and 70y gramms, after obtaining together it is 52(x+y) gramms. In other words 40x+70y=52(x+y)
3) 
\left \{ {{x+y=20} \atop {40x+70y=52(x+y)}} \right. \ =\ \textgreater \  \  \left \{ {{y=8} \atop {x=12}} \right.
Answer: 8 gr. of 70% solution and 12 gr. of 40%.
You might be interested in
Identify the polygon that has vertices A(−10,−1), P(−7,3), E(−3,0), and X(−6,−4), and then find the perimeter and area of the po
Bogdan [553]

Answer:

  square; perimeter 20 units; area 25 square units.

Step-by-step explanation:

As the attachment shows, each side of the polygon is the hypotenuse of a 3-4-5 right triangle, so has length 5 units. The perimeter is the sum of those lengths, 4×5 = 20; the area is the product of the lengths of adjacent sides, 5×5 = 25.

The figure is a square of side length 5 units.

The perimeter is 20 units; the area is 25 square units.

4 0
3 years ago
Jane moved from a house with 66 square feet of closet space to an apartment with 34.98 square feet of closet space. What is the
Kryger [21]

There is a 47% decrease in Jane's closet space.

Step-by-step explanation:

Old measurement of closet = 66 square feet

New measurement of closet = 34.98 square feet

Change = New value - Old value

Change = 34.98 - 66 = -31.02 square feet

The negative sign indicates the decrease.

Decrease percent = \frac{Change}{Old\ value}*100

Decrease\ percent=\frac{31.02}{66}*100 = \frac{3102}{66}\\Decrease\ percent=47\%

There is a 47% decrease in Jane's closet space.

Keywords: decrease, percentage

Learn more about percentages at:

  • brainly.com/question/1386181
  • brainly.com/question/1388658

#LearnwithBrainly

8 0
2 years ago
Can anyone help me plz?
RUDIKE [14]

Answer:

The answer is 37

Step-by-step explanation:

8x8=64

9x3=27

64-27=37

8 0
2 years ago
Hi if u could help me that'd be great
WINSTONCH [101]

Answer:

1 hour and 45 minutes

and 1 hour

Step-by-step explanation:

x= run

y= walk

5x+2.5y = distance

5x+2.5(1.5)=12.5

solve for x

5x=8.75

x=1.75

1.75 in hours is 1 hour and (60*.75)=45

1 hour and 45 minutes

" If the marathon race participant ran for 2 hours, how many hours did the participant walk?"

We use the same equation

5x+2.5y=distance

we'll assume that they till walked 12.5 miles

which means that

5(2)+2.5y=12.5

solve for y

2.5=2.5y

y=1

1 hour

8 0
2 years ago
Read 2 more answers
Witch is greater? 8,456 mL or 9 L
Elenna [48]
If im not mistaken 9 L
6 0
2 years ago
Read 2 more answers
Other questions:
  • What would be the future value of a savings account started with $675, earning 9 percent (compounded annually) after 7 years? (?
    15·1 answer
  • Identify the graphs.......
    7·2 answers
  • PLEASE HELP ME I HAVE TWO MINUTES LEFT BE NICE
    6·1 answer
  • I need help por favor gracias
    5·2 answers
  • A bucket holds 243.5 oz of water. The bucket loses 0.6 oz of water per second.In how many seconds will the bucket be 40% full
    10·1 answer
  • Explain why the solution of 5x-3 is greater then 14 or 2x+5/3is less than 4
    5·1 answer
  • What is the value of x?<br> O 40<br> O 70<br> O 140<br> O 160
    5·1 answer
  • This school year, Alysson has already downloaded 123 assignments from her IPAD to her new Chromebook. These assignments have tak
    12·1 answer
  • 50 POINTS!! Please please help find height and volume of pyramid!!!
    7·1 answer
  • What is the slope of the line that passes through the points (-9, 8)(−9,8) and (-21, 10) ?(−21,10)?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!