A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 4 milliliters of compound B. If a chemist wants to make 378 milliliters of the drug, how many milliliters of compound B are needed?

Answers

Answer 1

Answer:

216 milliliters

Step-by-step explanation:

Since, there are 3 milliliters of compound A used for every 4 milliliters of compound B.

Therefore,

A : B = 3 : 4

Let the common multiplier of the given ratios be x.

So, A = 3x & B = 4x

Since, chemist wants to make 378 milliliters of the drug.

Therefore, total volume of drug = 378 milliliters.

3x + 4x = 378

7x = 378

x = 378/7

x = 54

4x = 4*54 = 216

Thus, 216 milliliters of compound B are needed.


Related Questions

A cylindrical cup is 8 centimeters in height. When filled to the very top, it holds 480 cubic centimeters of water. What is the radius of the cup, rounded to the nearest tenth? Explain or show your reasoning.

Answers

Answer:

4.4cm

Step-by-step explanation:

The area of a circle is [tex]\pi r^{2}[/tex], where r is the radius.

Hence the volume of the cylinder would be [tex]\pi r^{2}h[/tex], where r is the radius and h is the height of the cylinder.

We can set up an equation V = [tex]\pi r^{2}h[/tex]

If we plug in the values we know, V=480, h=8, then we get [tex]480=8\pi r^{2}[/tex]

If we divide both sides be 8pi and square root both sides after that, we can find the value of r.

[tex]r = \sqrt{\frac{480}{8\pi } } =4.37019[/tex]

To the nearest tenth, the radius would round up, yielding 4.4cm

PLEASE HELP WILL GIVE BRAINLIEST!!!!!!

Answers

Answer:

15 ⁵⁴ this is he answer

Step-by-step explanation:

Because

15= ⁶×⁹ = 53

Answer:

A=15^-54 is the answer to the question

f(x)=x^2+2x-6 and g(x)=x+5

Type the composition (gof)(x) of the given functions

Answers

F ( x + 5 )= x ^2 + 12 x + 29

The composition (gof)(x) of the given functions is (g°f)(x) = x² + 12 x + 29

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

For two given functions f(x) and g(x), the composite function

(g ° f)(x) is g(f(x))

we know that:

g(x) = x+5

f(x) = x² + 2x - 6

Then:

(g°f)(x) = g(f(x))

So, we just need to evaluate g(x) in f(x):

g(f(x)) = f(x) + 5 = (x² + 2x - 6) + 5

(g°f)(x) = x² + 12 x + 29

Then the correct answer is (g°f)(x) = x² + 12 x + 29

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

help plsssssss no links or files

Answers

Answer:

7500 yds^2

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex]Bh

A = [tex]\frac{1}{2}[/tex] 50 * 300

A = 25 * 300

A = 7500


Which expression is equivalent to the number 144?
A. 23.32
B. 23.33
C. 24.32
D. 24.36

Answers

Answer:

d

Step-by-step explanation:

If 7x = 24 y, find the ratio of x to y.​

Answers

Answer:

7:24 or [tex]\frac{7}{24}[/tex]

Step-by-step explanation:

a ratio is usually defined as a fraction ( the first to the next)

-3/4+ p =1/2 please solve!!

Answers

Answer: p=5/4

p = 1/2+3/4

p = 5/4. -3/4 + p = 1/2 Add 3/4 to both sides and simplify :)

I need help in question 14

Answers

Answer:

Step-by-step explanation:

Amount she gets in a day = number of flower * cost of each flower

                   = (25x² +5x + 5)*5x

                  = 25x²*5x + 5x *5x  + 5*5x

                  = 125x³ + 25x² + 25x

Amount she gets in 5 day = (125x³ +25x² + 25x)* 5

                                           = 125x³*5 + 25x² *5 + 25x *5

                                          = 625x³ + 125x² + 125x


Help pleaseeeeeeeeeee

Answers

Answer:

1.No

2.No

Step-by-step explanation:

5=x+5  x=10

5=10+5

5=15 is not solution

12x=196  x=7

12*7=196

84=196

Han's house is 450 meters from school. Lin’s house is 135 meters closer to school. How far is Lin’s house from school?

Answers

the answe is the answer is 8

What is the next term in the pattern 0.4, 0.8, 1.2, 1.6, ...?

Answers

Answer:

2.0, 2.4. 2.8

Step-by-step explanation:

someone please help me​

Answers

Answer:

A. 9 sqrt 2

Explanation:

Plug in hypotenuse and given side into
a^2 + b^2 = c^2 and solve.

Christina had a total of $120 to spend while shopping. She already spent $68 on clothes . She wants to buy some video games that are on sale for $10 each, including tax.

Answers

Answer:

5 video games.

Step-by-step explanation:

In order to find the total number of video games that Tracy can buy with the money, she has we first need to find how much money she has left after buying the clothes. To do this we subtract the amount she spent on clothes by the initial total that Christina had.

120 - 68 = 52

Now that we know Christina has a remaining $52, we can divide this amount by the value of each individual game ($10) in order to calculate how many she can actually afford.

52 / 10 = 5.2

Finally, we can see that she can afford to only buy 5 video games.

Use a formula to find the surface area of the cylinder. Use 3.14 for pi

Answers

Answer:

A = 376.99

Step-by-step explanation:

A=2πrh+2πr2

Just plug in and solve:

A=2πrh+2πr2

A = 376.99

please help me i need this grade !

Answers

A . One solution

B . infinite solution

C . infinite solution

D . no solution

_________________________________

Thus the correct answer is option A .

please help !! And I'll give brainlist

Answers

Answer:

106.6 [tex]cm^{2}[/tex]

Step-by-step explanation:

A = 1/2bh

Area of a triangle = 0.5 x base x height
0.5 x 16.4 x 13
=106.6 cm^2

Which number is the smallest?

5.48 x 10-8

5.48 x 10 -8

3.24 x 10-5

3.24 x 10 -5

2.85 x 10-6

2.85 x 10 -6

1.28 x 10-4

Answers

Answer:

option D ..............

Answer:

[tex]5.48 \times {10}^{ - 8} \\ [/tex]

The number with a greater exponent is the smallest.


The cost of 6 CDs are $12, $13, $20, $20, $12.50 and $18.50. What is the range?

Answers

I think $8. That’s the difference between the highest and lowest number.

what of the following us a solution to the system of equations​

Answers

Answer:

(- 1, - 5 )

Step-by-step explanation:

Given the 2 equations

y = 3x - 2 → (1)

6 + y = - x → (2)

Substitute y = 3x - 2 into (2)

6 + 3x - 2 = - x

4 + 3x = - x ( add x to both sides )

4 + 4x = 0 ( subtract 4 from both sides )

4x = - 4 ( divide both sides by 4 )

x = - 1

Substitute x = - 1 into (1) for corresponding value of y

y = 3(- 1) - 2 = - 3 - 2 = - 5

solution is (- 1, - 5 )

What is the solution to the equation 9(x - 2) = 27?

01) x = 2.5

2) x = 0.5

3) x = -0.5

04) x = 3.5

Answers

Step-by-step explanation:

9(x - 2) = 27

9x - 18 = 27

9x = 27 + 18

9x = 45

x = 45/9

x = 5

-TheUnknownScientist

what are the values of f and d ?

Answers

Answer:

Step-by-step explanation:

1. 6f+45+15=180

6f=180-45-15

6f=130

f=130/6=65/6=21.66666666666666....

2. d=6f=130/6=65/6=21.66666666666666....

(They are vertical angles, opposite angles)

Hiya please leave formulas x

Answers

Answer:

angle c = 107°

angle b = 107°

angle a = 73°

Step-by-step explanation:

Given:

Two line XY and WZ intersect each other and make four angle [a, b, c, d]

Given that Angle d = 73°

Find:

angle a

angle b

angle c

Computation:

We know that angle c and angle d situated on same line XY

So,

angle c + angle d = 180°

angle c + 73° = 180°

angle c = 107°

We know that angle b and angle d situated on same line WZ

So,

angle b + angle d = 180°

angle b + 73° = 180°

angle b = 107°

angle a and angle d are vertical opposite angle

So,

angle a = angle d

angle a = 73°

Determine for each number whether it is a rational or irrational number.​

Answers

In order:

irrational

irrational

rational

rational

Dos libras de carne de res y dos de chivo cuestan $334 pesos, si duplico la libra de carne de res y una libra de chivo cuestan $420 pesos. ¿Cuál es el precio por libra de cada producto?

Answers

Answer:

El precio por libra de la carne de res es $84.33 y el precio por libra de chivo es $82.67.

Step-by-step explanation:

Con la información proporcionada puedes escribir las siguientes ecuaciones:

2x+2y=334 (1)

4x+y=420 (2), donde:

x es el precio por libra de carne de res

y es el precio por libra de chivo

Primero, puedes despejar x en (1):

2x=334-2y

x=334/2-2y/2

x=167-y (3)

Ahora, debes reemplazar (3) en (2) y despejar y:

4(167-y)+y=420

668-4y+y=420

668-3y=420

668-420=3y

248=3y

y=248/3

y=82.67

Finalmente, puedes reemplazar el valor de y en (3) para encontrar el valor de x:

x=167-y

x=167-82.67

x=84.33

De acuerdo a esto, la respuesta es que el precio por libra de la carne de res es $84.33 y el precio por libra de chivo es $82.67.


The width of a box is two-third of its length and height is
one-third of its length. If the volume of the box is 1296 m3,
ind the area of base of the box.​

Answers

Answer:

216m² is your answer

Step-by-step explanation:

given

width [b]=2/3 ×l

length [l]=l

height [h]=1/3 l

we have

volume of cuboid =l×b×h

1296m³=l×2/3×l×1/3×l

1296m³=2/9×l³

l³=1296×9/2=5832

l³=18³

length [l]=18m

breadth [b]=2/3×18=12m

area of base of box =l×b=18×12=216m²

The cost of a taxi ride is given by the function C(x)=0.75x +2,
where x=distance in miles and C(x)=total cost in dollars.
What are the domain and range of C(x) in this situation?

Answers

Answer:

(

)

=

0

.

7

5

+

2

Step-by-step explanation:

Please help I have to get my grades up

Answers

Answer:

A

Step-by-step explanation:

14/20 = 7/10 = 70%

Answer:

A

Step-by-step explanation:

The answer would be A because  remeber 14 out of 20 is so close, so chose the closest number to make 100%.

A circular fountain has a drain in the center. The distance from the drain to the edge of the fountain is 3 feet. What is the circumference of the fountain? Round your answer to the nearest tenth of a foot.

Answers

Answer:

18.8 feet

Step-by-step explanation:

Since the drain is in the center, the distance between the drain and the edge is the radius of the circular fountain.

Use the circumference formula: C = 2[tex]\pi[/tex]r, and plug in 3 as r (the radius).

C = 2[tex]\pi[/tex]r

C = 2[tex]\pi[/tex](3)

Solve for C:

C = 6[tex]\pi[/tex]

C = 18.8

So, the circumference of the fountain is approximately 18.8 feet

Can anyone help me with this geometry question?

I just don't know what is the last step, we are trying to prove that BD bisects angle ADC

Answers

6.∠ADB = ∠BDC reason :(CPCTC)

7.BD bisects ∠ADC reason :(From statement 6)

Hope it helps you......

Look at this graph :
Is this relation a function?

Answers

Step-by-step explanation:

Yes it is a function dearest

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