The volume of water In two containers is in the ratio of 6 to 7. If the volume of the first container is 36 liters, find the volume of the second container?

Answers

Answer 1

Answer:

42 liters

Step-by-step explanation:

Set up the ratios as fractions.

6/7 = 36/x

To get the volumes multiply the 6 and the 7 by 6.

This is how you got the 36 for the first volume.

The volume of the second container is 42.

7 x 6 = 42


Related Questions

Selena's snow cone stand sells small snow cones for $2 and large snow cones for $3.50. One summer day, she sold $163 worth of snow cones. If the number of large snow cones was 12 more than the number of smalls, how many of each size did she sell?

Answers

Answer:

Number of Small Cones Sold=22

Number of Large Cones Sold=34

Step-by-step explanation:

Suppose,

Number of Small Cones Sold: s

Number of Large Cones Sold: l

For the condition that, larges cones sold were 12 more than small ones, equation would be

[tex]s-l=12....................................... (i)[/tex]

and for the total revenue condition of $163

[tex]2*s+3.5*l=163.........................(ii)[/tex]

By solving equation (i) and (ii) simultaneously, we get

s=22

and

l=34

Hence, small cones sold would be 22 and large cones sold would be 34.

A​ person's website specializes in the sale of rare or unusual vegetable seeds. He sells packets of​ sweet-pepper seeds for ​$2.16 each and packets of​ hot-pepper seeds for ​$4.40 each. He also offers a 16​-packet mixed pepper assortment combining packets of both types of seeds at ​$2.44 per packet. How many packets of each type of seed are in the​ assortment?

Answers

2.16x+4.40(16-x) = 2.44(16)

2.16x+70.40-4.40x = 39.04

-2.24x = -31.36

x= 14

So, there are 14 packets of the sweet pepper seeds at 2.16 and 16-14 = 4 packets of the hot pepper seeds at 4.40

In a housing project, there are 350 households in which English is spoken, 50 in which Spanish is spoken, and 100 in which the language is other than English or Spanish. If a psychologist approaches a house at random to conduct an interview, the chance that the language in that household will NOT be English is?
a. 1/500 = .002.b. 50/350 = .14.c. 150/500 = .3.d. 150/350 = .43.

Answers

Answer:

The correct option is C) [tex]\frac{150}{500}=0.3[/tex].

Step-by-step explanation:

Consider the provided information.

There are 350 households in which English is spoken, 50 in which Spanish is spoken, and 100 in which the language is other than English or Spanish.

Total total number of household = 350 + 50 + 100 = 500

Non English household = 100 + 50 = 150

[ tex]Probability = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}[/tex]

[tex]P=\frac{150}{500}=0.3[/tex]

Hence, the correct option is C) [tex]\frac{150}{500}=0.3[/tex].

Final answer:

The probability that the language in a randomly approached household will not be English is 150 out of 500, which simplifies to 0.3. Therefore, the correct answer is c. 150/500 = .3.

Explanation:

The student is asking about the probability that the language spoken in a randomly chosen household from a housing project will not be English. To solve this problem, we add the number of households where Spanish is spoken to the number where languages other than English or Spanish are spoken.

This gives us 50 (Spanish speaking) + 100 (other languages) = 150 households. The total number of households is 350 (English) + 150 (non-English) = 500 households.

Thus, the probability that a randomly selected household will not speak English is the number of non-English speaking households divided by the total number of households which is 150/500 = 0.3. Therefore, the correct answer is c. 150/500 = .3.

Research participants drank either caffeinated or decaffeinated beverages in a study of the effects of caffeine on anxiety levels. Those who received the caffeinated drinks were assigned to the ________ group.

Answers

Answer:

Experimental group

Step-by-step explanation:

In a  psychology experiment, the test gathering (or trial condition) alludes to the gathering of members who are presented to the free factor. These members get or are presented to the treatment variable.  

The free factor is changed in the exploratory gathering.

For example : A human test gathering could get another prescription, an alternate type of advising, or some nutrient enhancements

A recent survey reported that out of 50 teenagers, 9 said they get most of their news from a newspaper. At this rate, how many out of 300 teenagers would you expect to get their news from a newspaper?

Answers

Answer:

Out of  300 teenagers 54 would be expected to get their news from a newspaper.

Step-by-step explanation:

Given:

A recent survey reported that out of 50 teenagers, 9 said they get most of their news from a newspaper.

Now, at this rate, out of 300 teenagers to find the number of teenagers to get their news from a newspaper.

So, as given 9 out of 50 teenagers said they get most of their news from a newspaper.

Thus, 9 : 50 is the ratio.

At this rate, out of 300 teenager.

Let the number of teenagers to get their news from a newspaper be [tex]x.[/tex]

Thus, the ratio is [tex]x:300.[/tex]

Now, to get the number of teenagers we set proportion:

[tex]\frac{9}{50} =\frac{x}{300}[/tex]

So, to solve by using cross multiplication method:

[tex]\frac{9}{50} =\frac{x}{300}[/tex]

By cross multiplying we get:

[tex]2700=50x[/tex]

Dividing both sides by 50 we get:

[tex]54=x[/tex]

[tex]x=54.[/tex]

Therefore, out of  300 teenagers 54 would be expected to get their news from a newspaper.

There are 39 chips number from 1 to 39 placed in a barrel one chip is randomly pulled from the barrel what is the probability that the number on the chip is greater than or equal to 18

Answers

P (number on chip is 18 or higher) = 22/39

John and Monica are paid ​$41.25 for their work. John worked 2.5 ​hours, and Monica worked 3 hours. They split the money according to the amount of time each of them worked. How much is John​'s share of the​ money?

Answers

Final answer:

John worked for a portion of the total hours, so he should get a proportionate share of the payment. His share of the total hours is 2.5/5.5, so his share of the total payment is (2.5/5.5) times $41.25, which is about $18.75.

Explanation:

The subject of this question is Mathematics, specifically a scenario about division and ratios. To find out how much money John gets, we need to know the total number of hours worked and how this correlates to the total payment.

John and Monica collectively worked for 2.5 + 3 = 5.5 hours. John worked 2.5 out of these 5.5 hours.  So, the proportion of time John worked is 2.5/5.5. Then, multiply this proportion (2.5/5.5) by the total payment of $41.25 to get John's share.

John's share is thus (2.5/5.5) * $41.25 ≈ $18.75.

This approach represents a principle of fair division, where the money is divided according to the proportion of hours worked by each person.

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If the random variable X is normally distributed with a mean of 75 and a standard deviation of 8, then P(X ≥ 75) is:a. 0.500b. 0.250c. 0.125d. 0.975e. 0.625

Answers

Final answer:

In a normal distribution, the probability that a random variable X is equal or greater than the mean is always 0.5. Therefore, P(X ≥ 75) is 0.500.

Explanation:

In the context of normal distribution, when the value of the random variable X is equal to the mean, the probability is 0.5. So, in this case, the mean is 75. Hence, if asked the probability P(X ≥ 75), the answer would be 0.500. Remember that the area under the curve of a normal distribution indicates the probability, and when X = mean, it divides the area into equal halves, hence the probability is 0.5 or 50%.

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A company repaid a long-term debt during the year. They will report this as an (increase/decrease) in the activities section on the statement of cash flows.

Answers

Answer:

Decrease and financing section

Step-by-step explanation:

The cash flows statement categorizes activities into 3 groups namely; Operating, Investing and Financing.

Operating activities captures the changes to current assets and liabilities such as inventory, trade payables and trade receivables, net income, depreciation etc.

Investing has elements such as sale and purchase of fixed asset. While financing dealings with elements around equity changes and long term debts.

As such the payment of long term debt will be reported in the financing activities section as a decrease because it results in the out flow of cash.

Repayment of a long-term debt during the year is reported as a decrease in the cash flows from financing activities section on the statement of cash flows. This reflects the money used to repay the debt.

When a company repays a long-term debt during the year, it is reported as a decrease in the cash flows from financing activities section on the statement of cash flows.

This decrease reflects the outgoing funds used to repay the debt. For example, in the case of Singleton Bank's change in business plan, their balance sheet would reflect the change in assets from the repayment of a loan, such as the one to Hank's Auto Supply for $9 million.

As a result, there would be a corresponding decrease in cash flows from financing activities by the same amount in the statement of cash flows. The decrease would indicate the outflow of money used to retire the long-term debt.

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A car traveling at 88 km an hour over takes a bus traveling at 64 km an hour if the bus has a 1.5 hour Headstart how far from the starting point does the car over take the bus

Answers

Answer: 352 miles

Step-by-step explanation:

At the point where the car overtook the bus, the car and the bus would have travelled the same distance.

Let x represent the distance covered by bus and the car before the car overtook the bus.

Let t represent the time taken by the bus to travel x miles.

The bus was traveling at 64 km an hour.

Distance = speed × time

Distance travelled by the bus in t hours would be

x = 64 × t = 64t

if the bus has a 1.5 hour Headstart, it means that the car started moving 1.5 hours after the bus has moved.

Therefore, time spent by the car would be t - 15 hours.

The car traveling at 88 km an hour

Distance covered by the car in t - 1.5 hours would be

x = 88(t - 1.5) = 88t - 132

Since the distance covered is equal, then

88t - 132 = 64t

88t - 64t = 132

24t = 132

t = 132/24

t = 5.5 hours

Therefore, the distance from the starting point when the car overtook the bus would be

x = 64 × 5.5 = 352 miles

The first term in an arithmetic sequence is 1 , and the second term is 2. The difference between each pair of consecutive terms in the sequence is 1 2/5.
A) True
B) False

Answers

Answer:

B) False                  

Step-by-step explanation:

We are given the following in the question:

The first term in an arithmetic sequence is 1.

[tex]a_1 = a =1[/tex]

The second term in an arithmetic sequence is 2.

[tex]a_2 = 2[/tex]

Difference between each pair of consecutive terms in the sequence

[tex]=a_2-a_1\\= 2 - 1\\= 1[/tex]

Statement:

The difference between each pair of consecutive terms in the sequence is [tex]1\frac{2}{5}[/tex]

Thus, the given statement is false since the  difference between each pair of consecutive terms in the sequence is equal to difference between first an second term of arithmetic sequence which is 1 not [tex]1\frac{2}{5}[/tex]

A rectangular garden 50 feet long and 10 feet wide is enclosed by a fence. To make the garden larger, while using the same fence, its shape is changed to a square. By how many squa

Answers

Square feet of rectangle = 50 x 10 = 500 square feet.

The perimeter of the rectangle is 50 + 50 + 10 + 10 = 120 feet.

Change to a square: 120/4 = 30

The square would have a side length of 30 feet.

Area of the square = 30 x 30 = 900 square feet.

The square is 900. - 500 = 400 square feet more.

Find angle A in the following triangle.

A. 50.67
B. 49.23
C. 48.19
D. 51.89

Answers

Here is what the equation would be

cosA= 2/3
cosA= 0.6666 repeated
Cos^-1(0.6666)= A
A= 48.19

It would be 2/3 because of soh cah toa
(Adjacent over hypotenuse)

True or False.An artist plans to construct an open box from a 15 in. by 20 in. sheet of metal by cutting squares from the corners and folding up the sides.

Answers

Answer:

True.

Step-by-step explanation:

The artists is using simple math. When cutting squares from the corners he uses the same measure for each side of the figuer (because is a square) and the remaining sides thatare folded havethe same measures as the squares.

Cutting each side with the correct percent of the total surface in order to go from 20 in to 15 in.

Which expression below shows how much Paul would collect in a week if he had 40 clients receiving daily plus Sunday delivery, and 25 clients receiving Sunday delivery only?

Answers

Question is Incomplete; Complete question is given below;

Paul delivers newspapers. He charges $2.25 per week for daily plus Sunday delivery, and $1.00 per week for Sunday delivery only.

Which expression below shoes how much Paul would collect in a week if he had 40 clients receiving daily plus Sunday delivery, and 25 clients receiving Sunday delivery only?

1. 40($2.25)+25($1.00)

2. 40($1.00)+25($2.25)

3. 40($1.25)+25($2.25)

4. 65($2.25)

5. Not enough information is given.

Answer:

1. 40($2.25)+25($1.00)

Step-by-step explanation:

Given:

Delivery charges per week = $2.25

Delivery charges on Sunday = $1.00

Number of clients receiving daily = 40

Number of clients receiving only on Sundays =25

We need to find the expression which shows total amount Paul would collect in a week.

Solution:

Now we can say that;

total amount Paul would collect in a week would be equal to sum of Number of clients receiving daily multiplied by Delivery charges per week and Number of clients receiving only on Sundays multiplied by Delivery charges on Sunday.

framing in equation form we get;

total amount Paul would collect in a week = [tex]40(2.25)+25(1.00)[/tex]

Hence The expression which shows total amount Paul would collect in a week is [tex]40(2.25)+25(1.00)[/tex].

Find the midpoint of (5,9) and (-1,9)

Answers

Answer:

The answer to your question is  (2, 9)

Step-by-step explanation:

Data

A (5, 9)

B (-1, 9)

Formula

Xm = [tex]\frac{1 + x2}{2}[/tex]

Ym = [tex]\frac{y1 + y2}{2}[/tex]

Substitution

Xm = [tex]\frac{5 - 1}{2}[/tex]

Xm = [tex]\frac{4}{2} = 2[/tex]

Ym = [tex]\frac{9 + 9}{2} = \frac{18}{2} = 9[/tex]

Midpoint = (2, 9)

A machine is supplied energy at a rate of 4,000 W and does useful work at a rate of 3,760 W. What's the efficiency of the machine? A. 92 percent B. 97 percent C. 96 percent D. 94 percent

Answers

Answer:The efficiency is (d).94%

Step-by-step explanation:

The efficiency:

E=100× (output/input)

So the input is 4000W and the out put is 3760W

From the above formula

E=100×(3760/4000)

E=376000/4000

E=94%

Recall the following study: Over a 17-year period researchers studied a sample of 707 individuals from a single community. They recorded the number of hours each individual spent watching television during adolescence and early adulthood. In later years, they recorded the number of aggressive acts by individuals in the study, as reported by parents, teachers and police. Science magazine published the results in 2002 in an article titled "Television Viewing and Aggressive Behavior during Adolescence and Adulthood." Which of the following variables could not confound the results of this study?
a. gender.
b. parental supervision and other aspects of family life.
c. poverty and neighborhood conditionds.
d. the amount of television the adolescents watch.

Answers

Answer:

Hence the answer is option c ; poverty and neighborhood conditions

Step-by-step explanation:

From the research, it is well known that both the dependent variable and independent variable will be taken into consideration before arriving at a conclusion.

A dependent variable is the variable that is been studied or measured i.e the results of a scientific research.

An independent variable is a variable that is been altered or controlled for and whose effects are compared to the results of the dependent variable, as such the results of  a dependent variable is dependent on the alteration of the parameters of an independent variable.

From the question ; the dependent variable is sample of 707 individuals from a single community while the independent variable ; the number of hours each individual spent watching television during adolescence and early adulthood.

The word confound in statistics implies a variable which has a greater effects on both the dependent and the independent variable.

Hence the answer is option c ; poverty and neighborhood conditions


Given: The coordinates of rhombus WXYZ are W(0, 4b), X(2a, 0), YO, -4b), and Z(-2a, 0).
Prove: The segments joining the midpoints of a rhombus form a rectangle.
As part of the proof, find the midpoint of XY

Answers

Answer:

∴ MNOP is Rectangle

midpoint of XY (N) : (a , - 2b)

Step-by-step explanation:

W (0 , 4b)   X ( 2a , 0)   Y (0 , -4b)   Z (-2a , 0)

M (midpoint of WX) : ( (0 + 2a)/2 , (4b + 0)/2)  i. e. (a , 2b)

N (midpoint of XY) : ( (2a + 0)/2 , (0 - 4b)/2)  i. e. (a , - 2b)

O (midpoint of YZ) : ( (0 - 2a)/2 , (- 4b + 0)/2)  i. e. (- a , - 2b)

P (midpoint of ZW) : ( (0 - 2a)/2 , (4b + 0)/2)  i. e. (- a , 2b)

MN: length = 2b + 2b = 4b     MN segment perpendicular to x axis (slope undefined)

NO: length = a + a = 2a     NO segment parallel to x axis (slope = 0)

OP: length = 2b + 2b = 4b     OP segment perpendicular to x axis (slope undefined)

PM: length = a + a = 2a     NO segment parallel to x axis (slope = 0)

MN = OP and MN // OP and MN ⊥ PM

NO = PM and NO // PM and NO ⊥ OP

∴ MNOP is Rectangle

midpoint of XY (N) : (a , - 2b)

please draw graph to prove

n a reliability test there is a 42% probability that a computer chip survives more than 500 temperature cycles. If a computer chip does not survive more than 500 temperature cycles, then there is a 73% probability that it was manufactured by company A. What is the probability that a computer chip is not manufactured by company A and does not survive more than 500 temperature cycles?

Answers

Answer:

0.1566

Step-by-step explanation:

We are given that probability of survival of computer chip for more than 500 temperature is

P(S)=0.42

Also, we are given that if the computer chips not survives then it was made by company A. So,

P( A/S')=0.73

We have to find the probability of computer chips  not survives and not made by company A i.e. P(A'∩S')=?

P(A/S') can be written as

P(A/S')=P(A∩S')/P(S')

where P(S')=1-P(S)=1-0.42=0.58

and P(A∩S')=P(A)-P(A∩S)

P(A/S')=P(A)-P(A∩S)/0.58

0.73*0.58=P(A)-P(A∩S)

P(A)-P(A∩S)=0.4234

P(A'∩S')=1-P(A∪S)=1-[P(S)+P(A)-P(A∩S)]=1-[0.42+0.42340]=0.1566

Thus, the probability of computer chips  not survives and not made by company A  is 15.66%.

A different class is made up of 66​% women and has 23 women in it. What is the total number of students in the​ class?

Answers

Divide the number of women by the percentage of women:

23 / 0.66 = 34.84

Round the answer as needed.

The total number of students in the​ class is 35.

What is percent?

In mathematics, a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".

Now it is given that,

Percentage of women in the class = 66%

Number of women = 23

Let x be the total number of students in the class.

Now, Since Number of women = 23

Therefore,

x of 66% = 23

or, 66x/100 = 23

or, 66x = 23*100

or, x = 2300/66

or, x = 34.84

⇒ x ≈ 35

Thus, the total number of students in the​ class is 35.

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Three roommates do 20 hours of chores. 6 hours by Stephen, 8 hours by Tom, and 6 hours jenny what fraction of the household chores are done by Stephen

Answers

Answer:

  3/10

Step-by-step explanation:

Stephen works 6 hours of the total of 20 hours worked. If the chores are proportional to the time worked, then Stephen does 6/20 = 3/10 of the chores.

A turtle can walk \dfrac{1}{12} 12 1 ​ start fraction, 1, divided by, 12, end fraction of a kilometer in an hour. The turtle is \dfrac15 5 1 ​ start fraction, 1, divided by, 5, end fraction of a kilometer away from a pond. At this speed, how long will it take the turtle to reach the pond?

Answers

Answer:

It will take turtle [tex]2\frac{2}{5} \ hour[/tex] to reach the pond.

Step-by-step explanation:

Given:

A turtle can walk 1/12 of a kilometer in an hour.

The turtle is 1/5 of a kilometer away from a pond.

Now, to find the time it will take the turtle to reach the pond.

Speed of turtle  =  [tex]\frac{1}{12}\ kilometer\ per\ hour.[/tex]

Distance of turtle from the pond =  [tex]\frac{1}{5} \ kilometer.[/tex]

Now, to get the time it will take turtle to reach the pond we put formula:

[tex]Time=\frac{Distance}{speed}[/tex]

[tex]Time=\frac{\frac{1}{5}}{\frac{1}{12}}[/tex]

[tex]Time=\frac{1}{5} \times \frac{12}{1}[/tex]

[tex]Time=\frac{12}{5}[/tex]

[tex]Time=2\frac{2}{5}\ hour.[/tex]

Therefore, it will take turtle [tex]2\frac{2}{5} \ hour[/tex] to reach the pond.

Answer:

2 2/5

Step-by-step explanation:

What is the probability of drawing 2 cards in succession (without replacement) from a standard deck and having them both be face cards?

Answers

Answer:      [tex]\dfrac{11}{221}[/tex]

Step-by-step explanation:

We know that the total number of cards in a standard deck = 52

Then the number of ways to draw any two card = 52 x (52-1)

= 52 x 51 = 2652   [By Multiplicative principle]

Also , there are 12 face cards in a standard deck , so the number of ways to draw two face cards in succession = 12 x (12-1)

12 x 11= 132   [By Multiplicative principle]

Then, the probability of drawing 2 cards in succession (without replacement) from a standard deck and having them both be face cards would be

[tex]\dfrac{\text{ Number of ways to draw 2 face cards}}{\text{Total number of ways to draw two cards}}[/tex]

[tex]=\dfrac{132}{2652}=\dfrac{11}{221}[/tex]

Hence, the required probability is  [tex]\dfrac{11}{221}[/tex] .

Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make?

Answers

Answer: she needs to beat 8.8 ft /sec which is 0.001667miles/sec and after 15mins,she ran 0.00161miles/sec.

Step-by-step explanation:

1ft = 0.0001893939 miles

8.8ft= 0.001667

That means she needs to beat 0.001667 miles/sec time.

In 15mins, her average was 5.8miles/hr.

That means for 15mins,she ran 0.00161/sec.

A geologist found two underground wells that contained large deposits of water. The first well was 46 2/3 meters below the surface. The second well had more water, and was 77 5/6 meters deeper than the first well. How deep below the surface was the second well?

Answers

Answer:

Second well was  [tex]103 \frac{3}{6}\ m[/tex] deep below the surface.

Step-by-step explanation:

Given:

Depth of First well = [tex]46\frac{2}{3}\ m[/tex]

[tex]46\frac{2}{3}\ m[/tex] can be Rewritten as [tex]\frac{140}{3}\ m[/tex]

Depth of First well = [tex]\frac{140}{3}\ m[/tex]

Also Given:

The second well had more water, and was [tex]77\frac{5}{6}\ m[/tex]  deeper than the first well.

[tex]77\frac{5}{6}\ m[/tex] can be Rewritten as [tex]\frac{467}{6}\ m[/tex]

Hence We can say that;

Depth of second well is equal to  [tex]\frac{467}{6}\ m[/tex] plus Depth of First well.

framing in equation form we get;

Depth of second well = [tex]\frac{467}{6}+\frac{77}{3}[/tex]

Now the denominators are common so we can solve the numerators

now to solve the fractions we need to make the denominator common we will use L.C.M we get;

Depth of second well = [tex]\frac{467\times1}{6\times1}+\frac{77\times2}{3\times2}= \frac{467}{6}+\frac{154}{6}[/tex]

Now the denominators are common so we can solve the numerators.

Depth of second well = [tex]\frac{467+154}{6}=\frac{621}{6}\ m \ \ OR\ \ 103 \frac{3}{6}\ m[/tex]

Hence Second well was [tex]103 \frac{3}{6}\ m[/tex] deep below the surface.

Japanese bullet trains travel at an average speed of 150 miles per hour. If you take the bullet train and leave Tokyo at 9:00 AM, how many miles you have travelled at 12:20

Answers

Answer: you would have travelled 500 miles.

Step-by-step explanation:

Distance travelled = speed × time

Japanese bullet trains travel at an average speed of 150 miles per hour.

If you take the bullet train and leave Tokyo at 9:00 AM, by 12:20, it would be noon. The time that you would have spent would be

12:20 - 9:00 = 3 hours 20 minutes.

Converting to hours, it becomes

3 + 20/60 = 3 + 1/3 = 10/3 hours

Therefore, the number of miles that you would have travelled would be

10/3 × 150 = 500 miles

A team of dogs drags a 70.9 kg sled 1.24 kmover a horizontal surface at a constant speed.The coefficient of friction between the sledand the snow is 0.193.The acceleration of gravity is 9.8 m/s2.Find the work done by the dogs.Answer in units of kJ.

Answers

Answer:

166.284 KJ

Step-by-step explanation:

We are given that

Mass of sled =70.9 kg

Displacement of sled=1.24 km

Coefficient of friction=[tex]\mu=[/tex]0.193

Acceleration due to gravity=[tex]g=9.8m/s^2[/tex]

We have to find the work done by the dogs in units KJ

Friction force=[tex]\mu mg[/tex]

Friction force =f=[tex]0.193\times 70.9\times 9.8=134.1N[/tex]

Force applied by team of dogs=Friction force

F=f=134.1 N

Work done=[tex]F\times s[/tex]

We have s=1.24 km=[tex]1.24\times 1000=1240m[/tex]

1 km= 1000 m

Work done=[tex]134.1\times 1240=166284 J[/tex]

1 KJ=1000J

Work done=[tex]\frac{166284}{1000}=166.284KJ[/tex]

Hence, the work done by the dogs=166.284 KJ

A small plane is flying a banner in the shape of a rectangle. The area of the banner is 144 square feet . The width of the banner is 1/4 the length of the banner. What are the dimensions of the banner?

Answers

Answer:

The answer to your question is width = 6 ft; length = 24 ft

Step-by-step explanation:

Data

Area = 144 ft²

width = w

length = l

The width is 1/4 of the length

Formula

Area = width x length = w x l

Length = 4 width     l = 4w

Process

1.- Substitute length in the first equation

                       Area = w(4w)

Simplify

                       Area = 4w²

2.- Solve for w

                      w = [tex]\sqrt{\frac{Area}{4}}[/tex]

Substitution

                      w = [tex]\sqrt{\frac{144}{4}}[/tex]

Simplification

                      w = [tex]\sqrt{36}[/tex]

Result

                      w = 6 ft

3.- Find l

                       l = 4(6)

                       l = 24 ft

A model of a car is available in 4 colors (black blue silver and white.) and 3 body styles(coupe sedan and wagon) there are also 2 engines to choose from , (16 cylinders, called V6 and four cylinder called l4) what is the probability of choosing a vehicle that is V6 sedan

Answers

Answer:

Step-by-step explanation:

P=1/2 *1/3=1/6

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