7. A 6 litre jug of lemonade contains 1.6 litres of lemon juice and the rest is water. How much lemon juice does a 1.5 litre bottle of lemonade contain?​

Answers

Answer 1

Answer:

5.625 litres

Step-by-step explanation:

1. We have to find how many litres of of lemon juice does a 1 litre jug of lemonade contains :

6 litres ÷ 1.6 litres = 3.75 litres

2. How many litres of lemon juice does a 1.5 litre bottle of lemonade contain?

= 3.75 litres × 1.5 litres

= 5.625 litres #

Answer 2

Answer:

A 1.5 litre bottle of lemonade contains 0.4 litre of lemon juice

Step-by-step explanation

let x be the litre of lemon juice in 1.5 litre of lemonade

litre of lemon juice in 6 litre of lemonade = 1.6

so , [tex]\frac{6}{1.6} = \frac{1.5}{x}[/tex]

    x = [tex]\frac{1.5 * 1.6}{6}[/tex]

    x=[tex]\frac{2.4}{6}[/tex]

    x = 0.4 litre


Related Questions

According to Zimmels (1983), the sizes of particles used in sedimentation experiments often have a uniform distribution. In sedimentation involving mixtures of particles of various sizes, the larger particles hinder the movements of the smaller ones. Thus, it is important to study both the mean and the variance of particle sizes. Suppose that spherical particles have diameters that are uniformly distributed between 0.02 and 0.08 centimeters. Find the mean and variance of the volumes of these particles. (Recall that the volume of a sphere is (4/3) πr3) Round your answers to four decimal places.
E(Y)= ___ x10−5 cm3
V(Y) = ___ x10−9

Answers

The expected value of a normal distribution is the mean of the distribution, while the variance measures the squared deviation of a value from the expected value. The expected value and the variance are: [tex]13.6190 \times 10^{-5}[/tex] and [tex]580.8000 \times 10^{-9}[/tex]

Given that, the diameters are:

[tex]d_1 = 0.02[/tex]

[tex]d_2 = 0.08[/tex]

The radius is:

[tex]r = \frac{d}{2}[/tex]

So, we have:

[tex]r_1 = \frac{0.02}{2} = 0.01[/tex]

[tex]r_2 = \frac{0.08}{2} = 0.04[/tex]

The volume of the sphere is:

[tex]V = \frac{4}{3} \times \pi \times r^3[/tex]

For [tex]r_1 = 0.01[/tex], the volume is:

[tex]V_1 = \frac{4}{3} \times \frac{22}{7} \times 0.01^3 = 0.419047 \times 10^{-5}[/tex]

For [tex]r_2 = 0.04[/tex], the volume is

[tex]V_2 = \frac{4}{3} \times \frac{22}{7} \times 0.04^3 = 26.819047 \times 10^{-5}[/tex]

The mean of a uniform distribution is:

[tex]E(y) = \frac{a + b}{2}[/tex]

In this case, the mean is:

[tex]E(y) = \frac{V_1 + V_2}{2}[/tex]

So, we have:

[tex]E(y) = \frac{0.419047 \times 10^{-5} + 26.819047 \times 10^{-5}}{2}[/tex]

[tex]E(y) = \frac{27.238094\times 10^{-5} }{2}[/tex]

[tex]E(y) = 13.619047 \times 10^{-5}[/tex]

Approximate

[tex]E(y) = 13.6190 \times 10^{-5}[/tex]

The variance of a uniform distribution is:

[tex]V(y) = \frac{(b-a)^2}{12}[/tex]

In this case, the volume is:

[tex]V(y) = \frac{(V_2-V_1)^2}{12}[/tex]

So, we have:

[tex]V(y) = \frac{(26.819047 \times 10^{-5}- 0.419047 \times 10^{-5})^2}{12}[/tex]

[tex]V(y) = \frac{(26.4 \times 10^{-5})^2}{12}[/tex]

[tex]V(y) = \frac{(696.96 \times 10^{-10})}{12}[/tex]

[tex]V(y) = 58.08000 \times 10^{-10}[/tex]

Rewrite as:

[tex]V(y) = 580.8000 \times 10^{-9}[/tex]

Hence, the expected value and the variance of the sphere are:[tex]13.6190 \times 10^{-5}[/tex] and [tex]580.8000 \times 10^{-9}[/tex]

Learn more about expected values and variance at:

https://brainly.com/question/4470015

The question is in the screenshot

Answers

Answer:

AC is about 4.29

Step-by-step explanation:

we need to use simple trigonometry for this problem

the tangent of an angle is the ratio between the opposite side and the adjacent side

so the tangent of the angle 35º is BC / AC

tan(35) is about 0.7

this means that BC / AC = 0.7

we know BC is 3

so 3 / AC = 0.7

3 = 0.7(AC)

AC is about 4.29

write your answer in simplest radical form​

Answers

Answer:

[tex]s=6\sqrt{3}[/tex]

Step-by-step explanation:

In any 30-60-90 triangles, the sides are in ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]x[/tex] is the side opposite to the 30 degree angle and [tex]2x[/tex] is the hypotenuse of the triangle.

In the given diagram, the hypotenuse is marked as 12 miles. Therefore, the side opposite to the 30 degree angle must be [tex]12 \div 2=6[/tex] miles. The final leg, [tex]s[/tex], must then represent the [tex]x\sqrt{3}[/tex] part of our ratio, hence [tex]\implies \boxed{6\sqrt{3}}[/tex]

Write an equation that has the zero's x={−1,−6}

Answers

Answer:

Step-by-step explanation:

If a zero is x = -1, then the factor, going one step backwards, is (x + 1) = 0; if the other zero is x = -6, then the factor is (x + 6) = 0. Now, going backwards one step further, we FOIL those out:

(x + 1)(x + 6) to get x-squared + 6x + 1x + 6 which combines to

[tex]x^2+7x+6=y[/tex]

FOILing those factors together is the opposite of factoring. Factoring gets you the factors, while FOILing puts them back together in the original equation.

Assume you have a ticket that will let you participate in a game of chance (a lottery) that will pay off $10 with a 45% chance (or a 55% chance of getting nothing). Your friend has a ticket to a different lottery that has a 20% chance of paying $25 (or an 80% chance of paying nothing). Your friend has offered to let you have his ticket if you will give him your ticket plus one dollar.

Required:
Build an influence diagram for this problem.

Answers

Solution :

I have a lottery ticket that will pay off $ 10 with a 45% chance and a friend of mine has a chance of 20% by paying off $ 25.

It is based on Double risk dilemma.

Individual --- trade ticket (-1)  ----24 (win(25) (0.20))                    

                                               ----- -1 (lose ) (0.80)

               ----- keep trade -------10 (win 10) (0.45)

                                        ----- 0 (lose) (0.55)

Next, solve the decision tree using expected monetary value.

EVM (keep ticket) = 0.45 (10) + 0.55 (0) = $ 4.50

EVM (trade ticket) = 0.20 (24) + 0.80 (-1) = $ 4

Therefore, we keep the ticket and do not trade.

what value of x is in the solution set of 8x-6>12+2x

Answers

Answer:

x>3

Step-by-step explanation:

8x - 2x > 12+ 6

-> 6x > 18

-> x > 3

[tex] \: \: \: \huge \rm{answer: \blue{ \boxed{ \rm{ \pink{x > 3}}}}}[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

[tex] \huge \blue{ \boxed{ \pink{\boxed{ \rm{ \blue{armed }\: account}}}}}[/tex]

➙[tex] \huge \rm8x-6>12+2x \\ \rm \huge8x-2x>12+6 \\ \huge\rm6x>18 \\ \huge \boxed{\rm{x>3}}[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖

I hope you understood!✏

➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Step-by-step explanation:

[tex] \huge \boxed{ \boxed{\rm{Hope \: this \: helps}}}[/tex]

Nhà trường muốn đánh giá tỉ lệ chăm học của sinh viên (trong một tuần). Khảo sát 236 sinh viên thì thấy có 32 sinh viên chăm học. Hãy ước lượng khoảng đối xứng cho tỉ lệ sinh viên chăm học của trường với độ tin cậy 95%

Answers

Answer:

can't understand the language

For Coronado Industries, sales is $500000, variable expenses are $335000, and fixed expenses are $140000. Coronado’s contribution margin ratio is

a) 67%.
b) 33%.
c) 28%.
d) 5%.

Answers

the right answer would be C

Use the graph to complete the statement. O is the origin. r(180°,O) ο Ry−axis : (2,5)
A. ( 2, 5)
B. (2, -5)
C. (-2, -5)
D. (-2, 5)

Answers

9514 1404 393

Answer:

  B.  (2, -5)

Step-by-step explanation:

Reflection across the y-axis is the transformation ...

  (x, y) ⇒ (-x, y)

Rotation 180° about the origin is the transformation ...

  (x, y) ⇒ (-x, -y)

Applying the rotation after the reflection, we get ...

  (x, y) ⇒ (x, -y)

  (2, 5) ⇒ (2, -5)

_____

Additional comment

For these transformations, the order of application does not matter. Either way, the net result is a reflection across the x-axis.

Answer:

(2,-5)

Step-by-step explanation:

Please help explanation if possible

Answers

Answer:

N=18

Step-by-step explanation:

Hope it will help you

If it does pls give me Brainlest

Have a nice day

Answer:

18

Step-by-step explanation:

use the concept of similarity and enlargement.

[tex] \frac{15}{n} = \frac{5}{6 } [/tex]

[tex]n = \frac{15 \times 6}{5} [/tex]

[tex]n = 18[/tex]

How many degrees must the flyswatter pass through before it is horizontal?

Answers

Answer:

90°

Step-by-step explanation:

assuming it's upright and you swat it down it will go down by 90°

Given the following matrices, what 3 elements make up the first column of the product matrix DA?

Answers

We have to figure out what the product of DA is,

[tex]\begin{bmatrix}-1&2&3\\8&-4&0\\6&7&1\\ \end{bmatrix}\begin{bmatrix}1\\3\\5\\ \end{bmatrix}=\begin{bmatrix}a\\b\\c\\ \end{bmatrix}[/tex]

We know that,

[tex]\begin{bmatrix}a&b&c\\d&e&f\\g&h&i\\\end{bmatrix}\begin{bmatrix}x\\y\\z\\\end{bmatrix}=\begin{bmatrix}ax+by+cz\\dx+ey+fz\\gx+hy+iz\\\end{bmatrix}[/tex]

So,

[tex]a=-1\cdot1+2\cdot3+3\cdot5=-1+6+15=20[/tex]

[tex]b=8\cdot1+(-4)\cdot3+0\cdot5=8-12=-4[/tex]

[tex]c=6\cdot1+7\cdot3+1\cdot5=6+21+5=32[/tex]

So the solution is,

[tex]a,b,c=\boxed{20,-4,32}[/tex]

Hope this helps :)

I need you guy’s help answer thanks so much

Answers

Answer:C

Step-by-step explanation:

find the measure of x

Answers

The answer is 43. You have to do: 180 (maximum in the triangle) - 47 - 90 (the angle that isn’t x) = 43. That’s the measure of x!

Answer:

[tex]B)\ x=43[/tex]

Step-by-step explanation:

One is given a circle with many secants within the circle. Please note that a secant refers to any line in a circle that intersects the circle at two points. A diameter is the largest secant in the circle, it passes through the circle's midpoint. One property of a diameter is, if a triangle inscribed in a circle has a side that is a diameter of a circle, then the triangle is a right triangle. One can apply this to the given triangle by stating the following:

[tex]x+47+90=180[/tex]

Simplify,

[tex]x+47+90=180[/tex]

[tex]x+137=180[/tex]

Inverse operations,

[tex]x+137=180[/tex]

[tex]x=43[/tex]

Luisa and Rachelle are competing for employee of the month. It is the last week, and the employee who processes the most client accounts will win. Luisa processed 15 accounts Monday, 22 accounts Tuesday, and 17 accounts Wednesday. Rachelle processed 24 accounts Monday, 18 accounts Tuesday, and 11 accounts Wednesday. Who has processed the most accounts this week, and by how many

Answers

Answer:

Luisa processed the most accounts this week, by 1.

Step-by-step explanation:

Luisa:

15 on Monday, 22 on Tuesday and 17 on Wednesday.

So a total of 15 + 22 + 17 = 54.

Rachelle:

24 on Monday, 18 on Tuesday, 11 on Wednesday.

So a total of 24 + 18 + 11 = 53.

Who has processed the most accounts this week, and by how many?

54 - 53 = 1, so Luisa processed the most accounts this week, by 1.

Calculate a high estimate for each. Show your work?81×37​

Answers

Step-by-step explanation:

2997

81

×

37

=2997

it just a simple calculation just multiply the numbers

CAN SOMEBODY ANSWER MY QUESTIONS !!!!​

Answers

9514 1404 393

Answer:

A''(-1, 2)B''(3, 5)C''(4, 3)

Step-by-step explanation:

Reflection over the line x=a is the transformation ...

  (x, y) ⇒ (2a -x, y)

Then the double reflection over x=a and x=b is the transformation ...

  (x, y) ⇒ (2b -(2a -x), y) = (2(b-a) +x, y)

That is, the result is translation by twice the distance between the lines. For a=1 and b=3, the transformation is ...

  (x, y) ⇒ (x +4, y) . . . . . . . translation to the right by 4 units.

  A(-5, 2) ⇒ A''(-1, 2)

  B(-1, 5) ⇒ B''(3, 5)

  C(0, 3) ⇒ C''(4, 3)

2
7) through: (-3,0), slope
3

Answers

Answer:

Step-by-step explanation:

Point-slope equation for line of slope m that passes through (x₀, y₀):

y-y₀ = m(x-x₀)

Slope =3 and (x₀, y₀)=(-3,0)

y = 3(x+3)

y = 3x+ 9

:::::

Slope-intercept equation for line of slope m and y-intercept b:

y = mx+b

m=1 and b= -4:

y = x-4

What is the remainder when () = 3 − 11 − 10 is divided by x+3

Answers

Answer:

-18/x+3

Step-by-step explanation:

PLEASE HELP!!!
Evaluate each expression.
(252) =

Answers

Answer:

1/5

Step-by-step explanation:

En la tira están escritos los números de 1 a 40. Corta la tira en pedazos, de tal forma gue en cada uno de ellos queden a lo más dos números primos , Icośntos contes hiciste ​

Answers

Se debe realizar 6 cortes sobre la tira.

Una Tira es una pieza de papel cuya longitud es mucho mayor que su anchura. Un Número Primo es un Número Natural que solo es divisible por 1 y por sí mismo, mientras que un Número Compuesto se compone de Números Primos y es divisible además por otros números, tanto Primos como Compuestos.

Realizamos el ejercicio siguiendo las siguientes consideraciones:

1) Escribimos los primeros 40 Números Naturales en orden ascendente.

2) El primer número del primer segmento de tira es el 1 y contiene a lo sumo dos Números Primos y termina en el Número Natural inmediatamente precedente a un Número Primo.

3) El resto de segmentos de tira comienza con un Número Primo, contiene a lo sumo dos Números Primos y termina en el Número Natural inmediatamente precedente a un Número Primo.

Los números primos entre 1 y 40 son 3, 5, 7, 11, 13, 17, 19, 21, 23, 29, 31, 33, 37.

Los segmentos de tira son los siguientes:

1) 1, 2, 3, 4 (1 número primo)

2) 5, 6, 7, 8, 9, 10 (2 números primos)

3) 11, 12, 13, 14, 15, 16 (2 números primos)

4) 17, 18, 19, 20 (2 números primos)

5) 21, 22, 23, 24, 25, 26, 27,28 (2 números primos)

6) 29, 30, 31, 32 (2 números primos)

7) 33, 34, 35, 36, 37, 38, 39, 40 (2 números primos)

El número de cortes ([tex]n[/tex]) se determina mediante la siguiente fórmula:

[tex]n = s - 1[/tex] (1)

Donde [tex]s[/tex] es el número de segmentos de tiras.

Si sabemos que hay 7 segmentos de tiras, entonces se debe realizar 6 cortes.

Preguntas relacionadas: https://brainly.com/question/1885560

Please Help!!! Thank you!
find x

Answers

Answer:

If the hypotenuse of the 30 60 90 triangle is 7 sqrt 3, then the length of the longer side is equal to 7 x 3, or 21.

Now going to the 45 45 90 triangle, we can see that x is equal to 21[tex]\sqrt{2}[/tex]. This is because the hypotenuse of a 45 45 90 triangle is equal to the side length times sqrt 2.

So our answer is, 21[tex]\sqrt{2}[/tex].

Let me know if this helps!

construct thruth table for each of the following Statement

Answers

Rhonda I just got home from

The sum of the two numbers is 66. The larger number is 10 more than the smaller number. What are the numbers?

Answers

Answer:

28  and 38

Step-by-step explanation:

a+b = 66

a + 10 = b

using substitution, a + (a+10) = 66

2a = 56

a = 28

28 + 10 = 38

b = 38

The least-squares regression equation
y = 8.5 + 69.5x can be used to predict the monthly cost for cell phone service with x phone lines. The list below shows the number of phone lines and the actual cost.

(1, $90)
(2, $150)
(3, $200)
(4, $295)
(5, $350)

Calculate the residuals for 2 and 5 phone lines, to the nearest cent.

The residual for 2 phone lines is $___


The residual for 5 phone lines is $___

Answers

Answer:

First one: 2.5

Second: -6

8.5+69.5(5) = 147.5

150 - 147.5 = 2.5

8.5 + 69.5(5) = 356

350 - 356 = -6

ED2021

The residual for 2 phone lines is $2.5.

The residual for 5 phone lines is -$6.

What is the residual in a least-square regression equation?

The residual is the vertical distance separating the observed point from your expected y-value, or more simply put, it is the difference between the actual y and the predicted y.

How to solve the question?

In the question, we are asked to find the residual for 2 and 5 lines using the least-squares regression equation y = 8.5 + 69.5x and the actual costs given to us.

We know that the residual is the vertical distance separating the observed point from your expected y-value, or more simply put, it is the difference between the actual y and the predicted y.

Thus for 2 phone lines:-

Actual Cost = $150.

Predicted Cost, y = 8.5 + 69.5*2 = 147.5.

Residual = Actual Cost - Predicted Cost = 150 - 147.5 = $2.5.

Thus, the residual for 2 phone lines is $2.5.

Thus for 5 phone lines:-

Actual Cost = $350.

Predicted Cost, y = 8.5 + 69.5*2 = 356.

Residual = Actual Cost - Predicted Cost = 350 - 356 = -$6.

Thus, the residual for 2 phone lines is -$6.

Learn more about the residual in a least-square regression equation at

https://brainly.com/question/20165292

#SPJ2

Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are doing inference for a sample mean
(a) Find endpoints of a t-distribution with 5 % beyond them in each tail if the sample has size n = 12.
(b) Find endpoints of a t-distribution with 1% beyond them in each tail if the sample has size n=20.

Answers

Answer:

a) Hence the endpoints of a t-distribution with 5% beyond them in each tail if the sample has size n=12 is ± 1.796.

b) Hence the endpoints of a t-distribution with 1% beyond them in each tail if the sample has size n=20 is ± 2.539.

Step-by-step explanation:

Here the answer is given as follows,

Write 33/100 in a decimal

Answers

33/100 as a decimal is 0.33

Answer:

it is .33

Step-by-step explanation:

take 33 and for each 0 move the decimal point like so

33.

3.3

.33

keep learning (:

Helppppp plzzzzzzz!!!!!!!!!!! 15+ PTS and brainliest!!!!!!!!

Write the equation of the line with slope of 0, and y-intercept of 9.

Answers

Vas happenin!!
Y=X +9
Hope this helps *smiles*

Answer:

y=0x+9. Hope this helped.

Step-by-step explanation:

slope intercept form: y=mx+b

m represents slope

b represents the y intercept. Please give me the brainliest:)

Type an equation for the
following pattern.
x
1 -2
2
4
3
-6
y=[? ]x+[ ]
4
-8
S
- 10

Answers

Answer:

y=-2x

Step-by-step explanation:

first find the slope: (-2-(-4))/(1-2)=2/-1=-2 so m=-2

now we have y=-2x+b, to find b we plug in any of the points

-2=-2(1)+b-2=-2+b b=0

so the equation is y=-2x

Betadine solution is a 10% povidone-iodine solution. Express this strength both as a fraction and as a ratio.

Answers

Step-by-step explanation:

Fraction =

[tex] \frac{10}{100} = \frac{1}{10} [/tex]

Ratio is 1 : 10

Other Questions
5Recognizing a problem is thefirst step toward solving it1 complex sentence2 compound sentence3 run-on sentence4 sentence fragment5 simple sentence Determine which choice is an example of an endothermic process.O A. Lighting a matchB. RespirationC. Running a gas engineD. Baking bread Which expression below equals a rational number, choose all that apply. Please help. Need help pleaseeee!!! sin 6x +4sin3x= 0sin x + sin 5x = sin 2x . sin 3xtan 4x. tan 2x = -1sin 5x + cos 5x - sin x + cos x =2 cos 3xcos 5x . cos x + sin2x = cos 3x . cos x Help me please I need this f(x)=3(x+5)+4/xwhat is f (a+2) solve this problem with showing the work Can you tell me what to write in the blanks??!plzz answer this question Solve each of the following exponential equations using common bases:1.) 4^(3x+5)=8^(4x-3)2.) 9^(2x+3)=(1/27)^(3x+1)3.) 4^(x+6)8^(x-9)=64 A sample of 45 bottles of soft drink showed a variance of 1.1 in their contents. The process engineer wants to determine whether or not the standard deviation of the population is significantly different from 0.9 ounces. What is the value of the test statistic 2- A student ran 135 meters in 15 seconds. What was the student's velocity?*7.5 m/s9 m/s12 m/s15 m/s Read the paragraph. (1) Outside, the snow hit the ground with a faint tapping; inside, the heater came on with a distant roar. (2) Outside, the wind howled through the big oak; a log snapped in the fireplace. (3) Outside, footsteps crunched hurriedly past the window; inside, the cat stretched and purred. (4) In the night, an owl hooted; in the room, a page turned. What revision should be made to maintain parallel structure Which series represents this situation? 1+1*7+1*7^ 2 +...1*7^ 6; 1+1*7+1*7^ 2 +...1*7^ 7; 7+1*7+1*7^ 2 +... 1*7^ 6; 7+1*7+1*7^ 2 +...1*7^ 7 RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan? x/-2-3>2SOlve the inequality Apakah nilai yang boleh kita pelajari daripada masyarakat Tamadun Awal Dunia? In factorial designs, the response produced when the treatments of one factor interact with the treatments of another in influencing the response variable is known as _____. a. replication b. interaction c. the main effect d. a factor HELPRESOURCESRECORDSWhen you are driving in bad weather or bad road conditions, you shouldUse the same following distance that you use in good conditions.Use one and a half times the following distance that you use in good conditions.Use two times the following distance that you use in good conditions. Complete the sentences to identify the types of research sources Sofia should use. Using basketball as an example, list the characteristics that you think are desirable in team members. The focus should be on the factors that influence teamwork and being a valued member of the group.Explain why these characteristics are so important for basketball.