Charlie and Jasmine share cartons of apple juice. Charlie drinks 1/3 of a carton every day. Jasmine drinks 2/5 of a carton every day. Any apple juice left in a carton at the end of the day is used the following day. The cost of a carton is 70p. Charlie and Jasmine buy just enough cartons to last them for 10 days. How much do they spend in total for these cartons? Give your answer in £.

The statement is true. A network's physical topology refers to the arrangement of devices and cables that determine how signals travel electronically.

The physical topology of a network describes the physical arrangement of devices, cables, and other components that make up the network infrastructure. It defines how these elements are connected and how signals flow between them. The physical topology is concerned with the actual layout and structure of the network.

There are different types of physical topologies, including bus, star, ring, mesh, and hybrid topologies. In a bus topology, devices are connected to a central cable, and signals travel along the cable to reach their destination. In a star topology, devices are connected to a central hub or switch, and signals are transmitted from the source device to the hub/switch, which then distributes the signal to the destination device. A ring topology connects devices in a circular manner, where signals travel in one direction around the ring.

The physical topology determines factors such as signal propagation, fault tolerance, scalability, and network performance. It plays a crucial role in determining how efficiently and effectively signals travel electronically within a network. Therefore, the statement that a network's physical topology describes how signals travel electronically is true.

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Answer:

m∠5=110°

Step-by-step explanation:

if 1 is on top line of A and 5 is on the top line of C that would make it corresponding angles pairs that are congruent which they have the same measure so if   m∠1=110° than m∠5=110°

Answer:

- [52 - [36 - 58 (24 x 82) x 36] + (-42)] = ​−4109158

Answer:

-2/3

Step-by-step explanation:

plug in the quadratic formula.

the quadratic formula is  (-b±√(b²-4ac))/(2a)

A in this scenario would be 3,

B in this scenario would be -7

C in this scenario would be -6

plugging in these values into the formula states that both solutions are 3, and -2/3

The histogram doesn't support Alfonso's claim and the correct option is 5: No, the distribution is skewed to the left with a mean age greater than 36.

What is a histogram?

A histogram is a graphic depiction of a frequency distribution with continuous classes that has been grouped. A series of rectangles with bases equal to the distances between class boundaries and areas proportional to frequencies in the associated classes make up the area diagram.

Consider the given histogram at the photo below. It is an left-skew histogram, since it has a long tail to the left side.

We need to estimate the mean of the given data. To do so, we need to multiply each class midpoint with its probability, and sum them.

For example, for the first one, the midpoint is 32 and the probability is 0.03 (read the value on the y-axis). For, the second one, the midpoint is 33 and the probability is 0.04, for the third the midpoint is 34 and the probability is 0.05, and so on. All needed values are presented below.

1. midpoint = 32, probability= 0.03

2. midpoint = 33, probability = 0.04

3. midpoint = 34, probability = 0.05

4. midpoint = 35, probability = 0.1

5. midpoint = 36, probability =0.11

6. midpoint = 37, probability = 0.13

7. midpoint = 38, probability = 0.2

8. midpoint = 39, probability = 0.09

So, it is obtained that -

μ = 0.03 · 32 + 0.04 · 33 + 0.05 · 34 + 0.10 · 35 + 0.11 · 36 + 0.13 · 37 + 0.25 · 38 + 0.20 · 39 + 0.09 · 40

μ = 37.15

Therefore, this histogram is left-skewed with mean greater than 36.

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Answer: $130

Step-by-step explanation:

Answer:

£111

Step-by-step explanation:

i tried it, its right

Yeah, it seems fine so you're doing great so far! ^^

Given, Sylvie needs $110 for a concert ticket.

Sylvie has $16.

Her hourly earnings = $h

Sylvie is working 10 hours at her job.

She is getting in 1 hour = $h

So, 10 hours she will get = $ = $

So the total amount she has now = $16 + $(10h) = $()

So we can write the equation as,

110=16+10h

We can move 16 to the left side also. 16 is added to the right side. We can move it by using reverse operation of addition. Reverse operation of addition is subtraction. So we will subtract 16 from both sides. Subtracting 16 we will get,

110-16=16+10h-16

110-16=10h

We have got the required answer.

To find Sylvie's hourly income the correct options are option A and option D.

Sylvie needs 110

She Already Have 16

10 Per Hour

110 ÷ 10 = 11

She Will Got 110 If she Work 11 hours

110 - 16 = 94 ÷ 11 = 8

He Need to Spent Her 8 Hours To Get

110 Concert Ticket

Answer:I believe the answer is b (62.8 cubic units)

Step-by-step explanation:

Answer:

62.8

Step-by-step explanation:

Answer:48

Step-by-step explanation:

Answer:

9h=p

9 times the number of hours worked equals the total pay.

The possible solutions of the inequality expression given as 20y < -5 + 18y are (c) y < -5/2, y < -2.5 and (d) -2.5 > y

From the question, we have the following parameters that can be used in our computation:

20y < -5 + 18y.

To start with, we need to collect the like terms of both sides

Using the above as a guide, we have the following:

20y -18y < -5

Next, we need to evaluate the like terms of both sides

Using the above as a guide, we have the following:

2y < -5

Lastly, we divide both sides by 2

y < -5/2

Express as decimal

y < -2.5

Switch the positions

-2.5 > y

Hence, the solutions are y < -5/2, y < -2.5 and -2.5 > y

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Aditi 6. callie 5. 71-11=60

Answer:

11 hours

Step-by-step explanation:

x is for Lindas hourly rate

18x=342

18x/18=342/18

x=19

209/19 = 11 hours

The question is incomplete. Kindly see the correct question below

Chanel found a used bookstore that sells pre-owned DVDs and CDs. DVDs cost $9 each, and CDs cost $6 each. Chanel can spend no more than $108 Write an inequality that represents this

Answer:

9D +6C < 108

Step-by-step explanation:

Let the price of Dvd be D

Let the price of CDs be C

Hence the inequality can be represented as follows

9D + 6C < 108

Answer:

3/5

Step-by-step explanation:

just took the test

Answer:

3/5

Step-by-step explanation:

hope it helps :D

The distance between the two metropolises on the chart is 9 elevation.

What's distance?

Distance refers to the quantum of space between two points or objects. It's a physical volume that can be measured and is generally expressed in units similar as measures, kilometers, long hauls, or bases.

According to question-

In this case, the scale of the chart is3/4 inch = 80 long hauls.

So, for every3/4 inch on the chart, the factual distance in real life is 80 long hauls.

To find the distance between metropolises on the chart, we need to convert the factual distance into a distance on the chart using the scale.

Let's suppose the factual distance between two metropolises is 240 long hauls. also, to find the distance between those metropolises on the chart, we can set up a proportion

/ 4 inch 80 long hauls = x elevation 240 long hauls

We cancross -multiply to break for x

inch * 240 long hauls = 80 long hauls * x elevation

720 = 80x

x = 9 elevation

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Answer: I think it's 30 degrees. Sorry if I'm wrong.

Step-by-step explanation:

The proof that if bisector of an exterior angle of a triangle is parallel to a side of triangle, triangle is isosceles is shown below .

In the question ,

it is given that ,

the angle bisector of the exterior angle of a triangle is parallel to a side .

we have to prove that the triangle will be an isosceles triangle .

In the triangle ABC given below , AB is extended to AD ,

SO , the exterior angle will be angle DAC ,

let AE be the bisector of the the angle .

So , the equal angles are angle DAC and angle EAC .

it is given that AE is parallel to BC , where BC is base .

we know that ,

if any line intersects two parallel lines then every pairs of alternative  Interior angles are same and also their corresponding angles are equal .

Here AE is parallel to BC and line BD intersects them ,

So , angle ABC = angle DAE    ( corresponding angles )

angle ACB = angle EAC   ( alternate angles )

Now , as AE is the bisector of angle DAC ,

we have , angle DAC = angle EAC

So , we get , angle ABC = angle ACB .

In triangle triangle ABC two angles are equal so , the sides opposite to angles to angles will also be equal

that means , AB=AC

Hence , the given Triangle is an isosceles triangle .

Therefore , it is proved that the triangle ABC is an isosceles triangle .

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The missing letter is p. The correct option is B. p

From the question, we are to determine the missing letter in the given pattern

The given pattern is

t, s, r, q, _, o, n, m,...

Consider the English alphabet

a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z.

If we study the pattern, we will realize that the alphabets are in the reverse order.

Hence, the missing letter is p. The correct option is B. p

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The system of equations are:

c + b = 1285

170c + 480b = 477,300

Two equations would be derived from the information provided in the question. The equations are known as simultaneous equations. The equations would have to be solved together in order to determine the required values.

The methods that can be used to solve simultaneous equations are:

The form of the equations is:

Number of catastrophic plan sold + number of bronze plans sold = total plans sold

Cost of the catastrophic plan x number of the plan sold) + (number of bronze plan sold x cost of the plan) = total cost of the plans

c + b = 1285

170c + 480b = 477,300

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It is given that \(sin x + cos x = 2/5\).To find: \(sin4 x + cos4 x\) We know that \(sin2 x + cos2 x = 1or sin2 x = 1 - cos2 x\)…(1)Also\(,sin x + cos x = 2/5 2)\) Squaring on both sides of equation (2),

we get:\((sin x + cos x)2= (2/5)2sin2 x + cos2 x + 2 sin x\)

\(cosx = 4/25or (1- cos2 x) + 2 sin x cos x = 4/25\)

)Squaring both sides of equation (1),

we get:\(sin4 x + cos4 x - 2 sin2 x cos2 x= (sin2 x + cos2 x)2 - 2 sin2 x cos2 x= 1 - 2 sin2 x cos2 x\) Putting the value of sin2 x cos2 x from equation (3),

we get: \(sin4 x + cos4 x = 1 - 2 (9 - 25 cos2 x)/50= 1 - (9 - 25 cos2 x)/25= (250 - 9 + 25 cos2 x)/25= (241 + 25 cos2 x)/25\)

Thus, \(sin4 x + cos4 x = (241 + 25 cos2 x)/25\), given sin x + cos x = 2/5.More than 250 is not a part of the solution.

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Answer:

70 Minutes

Step-by-step explanation:

Divide 25 into 50 to get 2 and then multiply 2 x 35 to get 70

The average cost per day for the four service is $3.23 per day

Average cost refers to the per-unit cost of production, which is calculated by dividing the total cost of production by the total number of units produced.

Therefore average cost = total cost/ number of unit

total cost = $108

average cost for the three services = $108/3

= $36

total average cost = $36+$54.30

= $90.30

therefore average cost for a day will be average cost for a month over 28day i.e 7days ×4

= 90.30/28

= $3.23 per day

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The number of different sequences consist entirely of even numbers is 3¹⁰ as a fair 6-sided die is rolled 10 times and the resulting sequence of 10 numbers is recorded.

An even number is one that can be divided by two and leaves a residue of zero. Even numbers include 2, 4, 6, 8, 10, and so on. Let's say, for instance, that you have 10 chocolates. There are two sets of these chocolates that each include five chocolates. Ten is therefore an even number. An even number is any integer that can be divided by 2 precisely. The final digit of an even integer is always one of the following: 0, 2, 4, 6, or 8. Even numbers can include 2, 4, 6, 8, 10, 12, and 14.

Here,

The series only contains even integers.

The 6-sided dice have 3 even numbers. 2,4,6 are even numbers.

Three even results are conceivable.

The number of different sequences consist entirely of even numbers,

=3¹⁰

When a fair 6-sided die is rolled 10 times and the ensuing sequence of 10 numbers is recorded, there are 3¹⁰ distinct sequences that only contain even numbers.

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Answer:

63

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

The correct function that describes the student's distance from the finish line after x minutes is f(x) = -1/4x + 10.

The correct function that describes the student's distance from the finish line after x minutes can be determined by analyzing the given information. We know that the student runs 1 kilometer every 4 minutes, and the race is a total of 10 kilometers.

Let's examine the options:

1. f(x) = 1/4x + 10

This function represents the distance covered by the student in x minutes, but it does not account for the fact that the total race distance is 10 kilometers.

2. f(x) = -1/10x + 4

This function has a negative coefficient for x, which would indicate that the student is getting farther away from the finish line as time progresses, which is not the case.

3. f(x) = 1/10 + 4

This function is a constant and does not change with time, so it cannot describe the student's distance from the finish line.

4. f(x) = -1/4x + 10

This function correctly represents the student's distance from the finish line. The negative coefficient for x indicates that the distance decreases as time progresses, and the constant term of 10 represents the initial distance from the finish line, which is 10 kilometers.

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False.

It is not necessary that if the mean of a given dataset is large then the standard deviation has to be large. Mean is the average of all the elements in a dataset and Standard Deviation is the average of deviation of all elements from the mean of the dataset. For instance, take 10 consecutive large numbers, then the mean of the numbers is also large but since the numbers are not widely dispersed, the standard deviation is small in magnitude.

Therefore, the given statement is False.

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Answer:

17×6=102 because he gave 2 boxes to his brother so he have 6 boxes