In a fruit cocktail, for every 30 ml of orange juice you need 20 ml of apple juice and 50 ml of coconut milk. What proportion of the cocktail is apple juice? Give your answer as a fraction in its simplest form.

Answers

Answer 1

Answer:

1/5

Step-by-step explanation:

Since we have given that

Quantity of orange juice = 30 ml

Quantity of apple juice = 20 ml

Quantity of coconut juice = 50 ml

Total quantity of cocktail = 100 ml

So, the ratio of orange juice to apple juice to coconut juice is given by

=30:20:50

= 3:2:5

Total ratio=3+2+5

=10

So, proportion of the cocktail of apple juice is given by

2/10×100

=1/5×100

=20%

Hence, the proportion of the cocktail is 1/5 apple juice


Related Questions

Mr. V went flying a kite. The angle of elevation of the string with the ground is 55
degrees. If the kite is 25 m above ground, how long is the string the kite is on?

Answers

Answer:

Length of string = 30.52 m (Approx)

Step-by-step explanation:

Given:

Angle of elevation = 55°

Height of kite = 25 m

Find:

Length of string

Computation:

Sin 55 = Height of kite / Length of string

0.8191 = 25 / Length of string

Length of string = 25 / 0.8191

Length of string = 30.52 m (Approx)

John used digits from 0 to 6 to create a three-digit PIN code. He forgot his PIN code. He remembers that his code contains different ascending digits. What is the maximum number of combinations John has to check to find his PIN code.

Answers

Answer:

35 combinations

Step-by-step explanation:

The first digit cannot be 5 or 6 (Since the digits could not be in ascending order if that was the case).

If the first digit is 4, there is 1 possibility:

(4, 5, 6)

If the first digit is 3, there are 3 possibilities:

(3, 4, 5) (3, 4, 6) (3, 5, 6)

If the first digit is 2, there are 6 possibilities:

(2, 3, 4) (2, 3, 5) (2, 3, 6) (2, 4, 5) (2, 4, 6) (2, 5, 6)

If the first digit is 1, there are 10 possibilities :

(1, 2, 3) (1, 2, 4) (1, 2, 5) (1, 2, 6) (1, 3, 4) (1, 3, 5) (1, 3, 6) (1, 4, 5) (1, 4, 6) (1, 5, 6)

If the first digit is 0, there are 15 possibilities:

(0, 1, 2) (0, 1, 3) (0, 1, 4) (0, 1, 5) (0, 1, 6) (0, 2, 3) (0, 2, 4) (0, 2, 5) (0, 2, 6) (0, 3, 4) (0, 3, 5) (0, 3, 6) (0, 4, 5) (0, 4, 6) (0, 5, 6)

Therefore, he would need to try at most 35 combinations.

1+1(I want to give points back so i am doing this).Pay it Forward

Answers

Answer:

2

Step-by-step explanation:

thanks! i will do it too!

The diagram shows two straight lines. Work out the value of x

Answers

Answer:

136

Step-by-step explanation:

Answer:

136°

Step-by-step explanation:

The angle opposite of x and x are a pair of vertically opposite angles.

Vertically opposite angles are equal in size.

Write the following as an inequality: x is between –12 and 2.5.

Answers

Answer : -12 < x < 2.5

Explanation : x is bigger than -12 but smaller than 2.5

The statement - 'x is between –12 and 2.5' can be written in inequality form as -

[tex]-12 < x < 2.5[/tex]

We have a statement : x is between –12 and 2.5.

We have to write it as a mathematical inequality.

Consider the following : if [tex]x[/tex] is between α and β, such that -α < 0  and  β > 0, then express this statement as inequality.

We can write the inequality as follows -

α < [tex]x[/tex] < β (Since α is less then 0, it will be less then β)

Similarly, we can write the statement - 'x is between –12 and 2.5' in the form of a mathematical inequality as :

- 12 < [tex]x[/tex] < 2.5

Hence, the statement - 'x is between –12 and 2.5' can be written as a mathematical inequality as -

- 12 < [tex]x[/tex] < 2.5

To solve more questions on expressing the statement as inequality, visit the following link -

https://brainly.com/question/16051258

#SPJ2

Let E=3, B=7 and A=4. Find the other digits in the sum BASE+BALL=GAMES

Answers

Given :   E=3, B=7 AND A=4  BASE +  BALL = GAMES

To find :   Other Digits  S , L G M

Solution:

 BASE

 BALL

GAMES

  74S3

  74LL

G 4M3S

if L = 0  then S = 3  but E = 3 ( hence not possible)

=> only possible solution

 3 + L = S

 & S + L  = 13

=> S + S - 3 = 13

=> S = 8

=> L = 5

  7483

  7455

 14938

L = 5

S = 8

M = 9

G = 1

I will GIVE U Braniest! Which expressions can we use to describe the number of seconds it takes Mr. Golv to complete his jiu-jitsu drill 7 times? Choose 2 answers: (Choice A) 7(K+G) (Choice B) 2K+5G (Choice C) 7(5G-2K) (Choice D) 7(5G+2K) (Choice E) 14K+35G

Answers

Answer:

Option D and E

Step-by-step explanation:

Time for guard passes = 5G

Time for kimura arm locks = 2K

Altogether:

=> 5G+2K

If he does 7 times:

=> 7(5G+2K)

Simplified form:

=> 14K+35G

Answer:

Option D and E

Step-by-step explanation:

Time for guard passes = 5G

Time for kimura arm locks = 2K

Altogether:

=> 5G+2K

If he does 7 times:

=> 7(5G+2K)

Simplified form:

=> 14K+35G

The midpoint of XY is M(0, 4). One endpoint is X(6, –2). Find the coordinate of the other endpoint Y. A.(–6, 10) B.(3, 1) C.(–6, 6) D.(12, 0)

Answers

Answer:

The answer is A.

Step-by-step explanation:

Given that the formula for midpoint is :

[tex]m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

So you have to subtitute the coordinates into the formula :

[tex]let \: m = (0,4) \\ let \: (x1,y1) = (6, - 2)[/tex]

[tex](0,4) = ( \frac{6 + x2}{2} , \frac{ - 2 + y2}{2} )[/tex]

Next, you have to solve it by comparison :

[tex]x⇒ \\ \frac{6 + x}{2} = 0 \\ 6 + x = 0 \\ x = - 6[/tex]

[tex]y⇒ \\ \frac{ - 2 + y}{2} = 4 \\ - 2 + y = 8 \\ y = 10[/tex]

Solve for x. Please help

Answers

Answer:

x = 37/45

Step-by-step explanation:

Here's how similar triangles work. We set up an equation as SIDE 1A/ SIDE 1B = SIDE 2A/ SIDE 2B

Ok, so these 2 triangles are similar, so we can set up a butterfly equation:

Side 1a would be 8x

Side 1b would be 5x +3

Side 2a would be 10x - 2

Side 2b would be 7x

----------------------------------------------------

Our equation would be

8x/(5x+3) = (10x-2)/7x

We cross multiply to get 8x(10x-2) = 7x(5x+3)

Instead of solving and getting squares, we can x on both sides and we get:

8(10x - 2) = 7(5x+3) ----> we simplify to get

80x - 16 = 35x + 21 ----> it's easy sailing from here.

45x = 37

x = 37/45

gosh i hope it's right...

A ladder is used to scale a 13 foot wall. If the angle of elevation from the ground to the top of the wall has
to be 36 degrees, how tall must the ladder be?

Answers

Answer:

22.12feet

Step-by-step explanation:

the ladder becomes your hypotenuse,the wall is the height,this forms a right angled triangle and the angle of elevation forms at the base,use sine which is opposite over hypotenuse to get your answer

Study the diagram of circle K, where JL¯¯¯¯¯¯¯ and LM¯¯¯¯¯¯¯¯¯ are tangent to circle K at points J and M, respectively. Also, JL=3x+10 and ML=7x−6. What is the length of LM¯¯¯¯¯¯¯¯¯?
22
17.6
16
4

Answers

Answer:

22

Step-by-step explanation:

The answer is 22. You solve the equation 3x+10=7x-6 like so

3x+10=7x-6

-3     = -3

    10= 4x-6

   +6  =       +6

     16=4x

      x=4

You then plug in the value of x to the equation for LM.

7x-6 becomes 7*4-6 which is 22.

john asked 60 people there favourite fruit

Answers

Answer:

45

Step-by-step explanation:

it only has 15 people as liking pears so if you already have a angle of 60 for apples that is you solution

Find the dependent and independent variable in r = 5s + 3.

Answers

Answer:

The independent variable is s and the dependent variable is r

Step-by-step explanation:

r = 5s+3

The independent variable is s and the dependent variable is r

the value of x is: 12. 6. 2. None of the choices are correct.

Answers

Answer:

x=6

Step-by-step explanation:

The triangle is an equilateral triangle since all angles are 60 degrees

That means all sides are equal

3x-13 = x-1

Subtract x from each side

3x-13-x = x-1-x

2x-13 =-1

Add 13 to each side

2x= -1+13

2x = 12

Divide by 2

2x/2 =12/2

x = 6

Answer:

B. 6

Step-by-step explanation:

Two angles are 60 degrees, the other is also 60 degrees.

The triangle is an equilateral triangle.

All sides are equal.

3x - 13 = x - 1

3x - x = -1 + 13

2x = 12

x = 6

16.
A
Р
B
D
С
is
In the figure, ABCD is a parallelogram. If the
areas of APDC and AAPD are 48 cm2 and
30 cm2 respectively, then the area of APBC is
A. 15 cm2
B. 18 cm2
C. 24 cm2
D. 36 cm2​

Answers

Chaliye apni maa chudaiye

Solve: 1.2n+1=1-n
HELP PLS ASAP WILL GIVE BRAINLIEST IF CORRECT

Answers

Answer:

n = 0

Step-by-step explanation:

1.2n + 1 = 1 - n

Add n and - 1 on both sides.

1.2n + n = 1 - 1

Combine like terms.

2.2n = 0

Divide both sides by 2.2.

n = 0

A company has two office buildings that hold 30,000 employees. Their headquarters contains 14 times as many employees as their overseas branch. Therefore, their headquarters contains __?__ employees.

Answers

Answer:

Their headquarters contains 420000 employees.

Step-by-step explanation:

The company has two office buildings which hold 30,000 employees.

The headquarters contains 14 times as many employees as the overseas branch.

Therefore, the number of employees in the headquarters is:

14 * 30000 = 420000 employees

Their headquarters contains 420000 employees.

Use the Distributive Property to multiply. –5(2x – 5)\

Answers

Answer:

-10x +25

Step-by-step explanation:

–5(2x – 5)

Distribute

-5 * 2x - (-5) * 5

-10x +25

Answer:

-10x + 25

Step-by-step explanation:

-5(2x - 5)

Distribute the expression

-5(2x) + 5(5)

Multiply

-10x + 25

The expression cannot be simplified further

Hope this helps :)


What is the value of
P(X = 2 or X = 0)

Enter your answer in the box

Answers

Answer:

0.4

Step-by-step explanation:

Answer: 0.4

Step-by-step explanation:

Find the product. (a2)(2a3)(a2 – 8a + 9) 2a7 – 16a6 + 18a5 2a7 – 16a6 – 18a5 2a8 – 16a7 + 18a6 2a12 – 16a7 + 18a6

Answers

Answer:

2[tex]a^{7}[/tex] - 16[tex]a^{6}[/tex] + 18[tex]a^{5}[/tex]

Step-by-step explanation:

Given

(a²)(2a³)(a² - 8a + 9) ← multiply the first 2 factors

= 2[tex]a^{5}[/tex] (a² - 8a + 9) ← distribute the parenthesis by 2[tex]a^{5}[/tex]

= 2[tex]a^{7}[/tex] - 16[tex]a^{6}[/tex] + 18[tex]a^{5}[/tex]

Answer:

A. 2a^7-16a^6+18a^5

Step-by-step explanation:

on edge 2020

Which functions have a vertex with a x-value of 0? Select three options.
f(x) = |x|
f(x) = |x|+ 3
f(x) = |x + 3|
f(x) = |xl - 6
f(x) = |x + 3|-6

Answers

Answer:

Hello!

________________________

(A) f(x) = |x|.

(B) f(x) = |x| + 3.

(D) f(x) = |x| - 6.

Would be correct!

Hope this helped you!

The functions that have a vertex with a x-value of 0 are:

f(x) = |x|

f(x) = |x|+ 3

f(x) = |xl - 6

An absolute value function is of the form:

f(x) = a|x - h| + k

where (h, k) represents the vertex

h is the x-coordinate of the vertex

k is the y-coordinate of the vertex

Comparing each of the options with f(x) = a|x - h| + k, the following absolute value functions have a vertex with x-value of 0.

f(x)  =  |x|

f(x) = |x|  +  3

f(x) = |x|  -  6

Learn more here: https://brainly.com/question/11212326

PLZ HELP This is due today and if I don’t finish I fail

Answers

Answer:

The solution ( 12,6) is correct, Lizette's solution

Answer:

[tex]x=12,\:y=6[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}\frac{2}{3}x+3y=26\\ 2x+\frac{1}{2}y=27\end{bmatrix}[/tex]

[tex]\frac{2}{3}x+3y=26[/tex]

[tex]\frac{2}{3}x+3y-3y=26-3y[/tex]

[tex]\frac{2}{3}x=26-3y[/tex]

[tex]3\cdot \frac{2}{3}x=3\cdot \:26-3\cdot \:3y[/tex]

[tex]2x=78-9y[/tex]

[tex]\frac{2x}{2}=\frac{78}{2}-\frac{9y}{2}[/tex]

[tex]x=\frac{78-9y}{2}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{78-9y}{2}+\frac{1}{2}y=27\end{bmatrix}[/tex]

[tex]\begin{bmatrix}78-\frac{17}{2}y=27\end{bmatrix}[/tex]

[tex]78-\frac{17}{2}y=27[/tex]

[tex]78-\frac{17}{2}y-78=27-78[/tex]

[tex]-\frac{17}{2}y=-51[/tex]

[tex]2\left(-\frac{17}{2}y\right)=2\left(-51\right)[/tex]

[tex]-17y=-102[/tex]

[tex]\frac{-17y}{-17}=\frac{-102}{-17}[/tex]

[tex]y=6[/tex]

[tex]x=\frac{78-9\cdot \:6}{2}[/tex]

[tex]x=12[/tex]

[tex]x=12,\:y=6[/tex]

Select the equivalent expression. Thanks :)

Answers

Answer:

b

Step-by-step explanation:

(y^3 * 2^5)^2

3x2=6

5x2=10

y6x2^10

What is the area of the trapezoid below

Answers

The formula for the area of a trapezoid is:

(a+b) • h / 2

Where a and b are the lengths of the parallel sides.

Therefore 7 + 19 = 26 • 10 (h) = 260 / 2 = 130

So area is 130

Answer:

[tex]\boxed{Area = 130 units^2}[/tex]

Step-by-step explanation:

Area of trapezoid = [tex]\frac{a+b}{2} h[/tex]

Where a = 7, b = 19 and h = 10

Area = [tex]\frac{7+19}{2} (10)[/tex]

Area = (26)(5)

Area = 130 units²

please help me answer this

Answers

Answer:

Train was late by 13 minutes.

Step-by-step explanation:

Time train took to travel = 290 miles / 50 mph

= 5.8 h

= 5h 48 min.

Time train left = 10:10 am

Time of arrival

= 10:10 + 5:48

= 15:58 pm

= 3:58 pm

Scheduled time of arrival

= 3:45 pm

Train arrived late by

3:58 - 3:45

= 0:13

= 13 minutes.

Write the polynomial as a product: mn − mk + xk − xn

Answers

Answer:

m-x(n)+x-m(k)

Step-by-step explanation:

mn-mk+xk-xn

mn-xn+xk-mk

m-x(n)+x-m(k)

Hope it helps <3 :)

Answer:

m-x(n)+x-m(k)

Step-by-step explanation:

hope this helps :D

Claim: Most adults would not erase all of their personal information online if they could. A software firm survey of 665 randomly selected adults showed that 49.5% of them would erase all of their personal information online if they could. Make a subjective estimate to decide whether the results are significantly low or significantly high, then state a conclusion about the original claim.

Answers

Answer:

State the null and alternate hypothesis which shows a probability value of 0.5 and greater than 0.5 on the one-tailed test to the right respectively. The sample proportion which gives a value of 0.5050. The standard error can then be calculated which gives a value of 0.01925. The Z statistic is then calculated as 0.2598. When compared to a P value of 0.3975, it can be concluded that the null hypothesis is not rejected given the p-value is greater than 0.5.

Therefore, given the not so significant values, there is no sufficient evidence that most adults will not erase their personal information online.

Step-by-step explanation:

With a 0.5 P value as null hypothesis and a an alternative hypothesis greater that 0.5 on a one tailed test. The sample proportion which gives a value of 0.5050. The standard error can then be calculated which gives a value of 0.01925. The Z statistic is then calculated as 0.2598. When compared to a P value of 0.3975, it can be concluded that the null hypothesis is not rejected given the p-value is greater than 0.5.

Therefore, given the not so significant values, there is no sufficient evidence that most adults will not erase their personal information online.

An auditorium has its length, breadth, and height equal to 18m. How much air does it contain? An average adult person requires approximately 0.3 cu.M air per hour. The owner of auditorium organizes a concert there. But he limits the duration of concert 3 hours and allows only 6480 tickets to be sold. Why has the owner taken this decision?

Answers

Answer:

The volume of air in the auditorium = 5832 cubic meter

Step-by-step explanation:

Length, breadth, and height of the auditorium = 18m

Therefore, the volume of air in the auditorium

[tex]=18 \times 18 \times 18\\=5832 $ cubic meter[/tex]

An average adult person requires approximately 0.3 cu.M air per hour.

Therefore:

6480 adult person will require: 0.3 X 6480 = 1944 cu.M air per hour.

For three hours:

6480 adult person will require: = 1944 X 3 =5832 cubic meter of air

We notice that the volume of air in the room will be exhausted exactly after 3 hours when 6480 persons attend.

Therefore, the owner has taken this decision to avoid suffocation as an increase in the number of tickets or hours will cause such.

b(1)=16 b(n)=b(n−1)+1 ​ Find the 2 term in the sequence.

Answers

Answer:

B (1)

Step-by-step explanation:

LINEAR Equations HELP ASAP

Answers

Answer: D) -4/3

Step-by-step explanation:

Slop can be represented as [tex]\frac{rise}{run}[/tex].  This equation rises -24 units then runs 18.  Thus, the slope is -24/18, or -4/3.

Hope it helps <3

Answer:

-4/3.

Step-by-step explanation:

To get the slope, you do the rise over the run.

In this case, the rise is going to be -24, since the track is falling. The run will be 18.

-24 / 18 = -12 / 9 = -4/3

Hope this helps!

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