Systems of equations word promblems. I need help answering this questions >. < Tysm. Please explain it also.

3)Flying to kampala with a tailwind a plane averaged 158 km/h. on the return trip the plane only averaged 112 km/h while flying back into the same wind. find the speed of the wind and the speed of the plane in still air

Answers

Answer 1
Answers:
Speed of Wind = 23 km/hr
Speed of Plane in Still Air = 135 km/hr

==================================================
==================================================

Explanation:

First let's go over two definitions

Headwind = wind that is flowing in the opposite direction of the plane's direction of movement; i.e., wind that is coming from the head direction. Headwinds slow the plane down

Tailwind = wind that is coming from the tail of the plane and moving in the same direction as the plane's destination. Tailwinds speed the plane up

=======================

Let
w = speed of wind
p = speed of plane in still air
both speeds are in km/hr

With a tailwind, the plane will speed up so it will go from p to p+w. Therefore, the first equation is
p+w = 158
since the new speed (wind+plane's movement without wind) is 158 km/hr

Similarly, in a headwind, the speed reduces to 112 so 
p-w = 112
because we take the plane's speed p and subtract off the wind speed w that slows down the overall speed

=======================

The system of equations is
p+w = 158
p-w = 112

Add up the equations and notice how w cancels

p+w = 158
p-w = 112
---------
2p+0w = 270

Leading us to
2p = 270
2p/2 = 270/2
p = 135

The speed of the plane in still air is 135 km/hr

=======================

Use p = 135 to find w
p+w = 158
135+w = 158
135+w-135 = 158-135
w = 23

The speed of the wind is 23 km/hr

Related Questions

Deon plans to ride a 15 mile bicycle trail. If his average speed 20 mile per hour which equation can he use to find the time t in hour for the ride

Answers

Answer:

See below

Step-by-step explanation:

Distance = rate * time

Distance / rate = time

15 / 20 = time = 3/4 hr = 45 min

Gus is making a Chilli recipe that calls 3 parts beans to five parts ground beef .if he is using 8 cups of ground beef for a big family dinner, how many cups of beans will gus need?

Answers

First you need to find the percent equivalent to that of the ratio. The ratio is 3:5. From there you would take the 3, and divide it by 5. 3/5=0.6. Apply that to the information that you are given: 8(0.6)=4.8.

charles leaves the marina and sails his boat 10° west of north for 1.5h at 18km/h. he then makes a right turn to a heading of 60° east of north and sails for 1 2h at 20km/h a) at the end of time how far is charles from his starting point to his nearest km

Answers

Final answer:

The total distance from Charles' starting point at the marina to his destination is calculated by adding the vectors representing each leg of his journey and using the Pythagorean theorem to find the length of the resultant vector. This comes out to be approximately 40 km.

Explanation:

This problem can be solved using vector addition and the Pythagorean theorem. Charles’ first leg of the journey is 10° west of north, therefore we could consider it as a vector directed north-west. Charles travels 1.5h at 18 km/h, therefore the lenght of this vector is 27km. Charles’ second leg of the voyage heads 60° east of north, that could be considered as a vector heading north-east. He sails for 1.5h at 20 km/h resulting in a vector of 30 km.

Now, if we place these two vector head to tail keeping their direction intact, we form a right triangle. Using Pythagorean theorem, the hypotenuse of the triangle will give us the distance from initial to final point. Therefore, the formula becomes √(27² + 30²) = √(729 + 900) = √1629 ≈ 40.36 km which is approximately 40 km to the nearest kilometer.

Learn more about Vector Addition here:

https://brainly.com/question/35874968

#SPJ12

1. Rename one-eighth as a percent. (1 point) 1.25% 12.5% 125% 1250% 2. Rename .709 as a percent. (1 point) 709% 70.9% 79% 7.09% 3. What percent is equivalent to two-thirds?

Answers

Answers:
_________________
1)   [B]:  "12.5%" .
_________________
2)  [B]:  "70.9%" .
_________________
3)  "66[tex] \frac{2}{3} [/tex]%" ;  or, "66.6666... % " ;  or, round to:  "66.667 %" ;
                     or; round to:  "66.67%" .
_____________________________________
Explanation:
_____________________________________
1)  "Rename one-eight as a percent". 
  
→  [tex] \frac{1}{8}[/tex] = 1 ÷ 8 = 0.125 ;

→ [tex] \frac{x}{100}[/tex] = 0.125 ;  
        
       →  x = 0.125 * 100 = {move the decimal point in the number, "0.125"; two spaces forward, since we are MULTIPLYING, by "100" (which has 2 zeros); 
       →  x = 12 * 100 = 12.5 .

So:  → [tex] \frac{12.5}{100}[/tex] = 12.5 % ;  since "12.5 % = 12.5/100 "
_____________________________________
Other method:
_____________________________________
     → [tex] \frac{x}{100}[/tex] = [tex] \frac{1}{8}[/tex] ; 

               →  x = 100 * [tex] \frac{1}{8}[/tex] ;

               →  x  = [tex] \frac{100}{1}[/tex] * [tex] \frac{1}{8}[/tex] ;

                         =   [tex] \frac{100*1}{1*8} [/tex] ;

                         =   [tex] \frac{100}{8} [/tex] ;

               →   x  =  12.5 ;

               →   [tex] \frac{x}{100} [/tex] = [tex] \frac{12.5}{100} [/tex] = 12.5% ;

                      → 12.5 % =  [tex] \frac{12.5}{100} [/tex] ; 
                                      =  ?

→ {Take the "12.5" & move the decimal backward TWO (2) places, since we              are "dividing" by "100" (which has 2 "zeros") ;
 
                                     = 0.125 = [tex] \frac{125}{100}[/tex] = [tex] \frac{1}{8} [/tex].
_________________________________________________
2)  "Rename "0.709" as a percent."

===>  [tex] \frac{x}{100} [/tex] = 0.709 ;  

    → x = 0.709 * 100 = ? ;

Note:  Take the "0.709" ; & move the decimal place "2 (TWO)" spaces forward, since are MULTIPLYING by "100" (which has 2 zeros); to get:
    → x = 70.9 ;

    → x = 0.709 * 100 = 70.9  ;

→ [tex] \frac{x}{100} [/tex] =  [tex] \frac{70.9}{100} [/tex] = 70.9% ;
                                            → which is:  Answer choice:  [B] .

    →  70.9% = [tex] \frac{70.9}{100} [/tex] = ?  ; 

     {take the "70.9" ; and move the decimal point backwards TWO (2) decimal places; since we are DIVIDING by "100" (which has "2 (two) zeros") ;

    →  70.9% = [tex] \frac{70.9}{100} [/tex] = 0.709 .
__________________________________________________
3)  What percent is equivalent to two-thirds
__________________________________________________
    →  [tex] \frac{x}{100} [/tex] = [tex] \frac{2}{3} [/tex] ; 

x = [tex] \frac{2}{3} [/tex]*100 ;

    = [tex] \frac{2}{3} [/tex]*[tex] \frac{100}{1} [/tex] ;

    = [tex] \frac{2*100}{3*1} [/tex] ;

    = [tex] \frac{200}{3} [/tex] ;

    = 66[tex] \frac{2}{3} [/tex] ;

→  { 66[tex] \frac{2}{3} [/tex] } / 100 = 66 [tex] \frac{2}{3} [/tex] % ;  
                                                 or, write as:  66.666666....% ; or, round to:
                                                                      66.67% 
                               {since: " [tex] \frac{2}{3} [/tex] " = 2 ÷ 3 = 0.66666..." .
______________________________________________

One-eighth, when converted to a percent, is 12.5%. The decimal 0.709 is equivalent to 70.9% when converted to a percent. Two-thirds is roughly equivalent to 66.7% after conversion and rounding.

Converting Fractions and Decimals to Percents

To convert a fraction to a percent, you can either first convert it to a decimal or multiply the fraction straightaway by 100. For one-eighth, we multiply 1/8 by 100 to get 12.5%. So one-eighth as a percent is 12.5%.

To rename 0.709 as a percent, you move the decimal point two places to the right or multiply by 100, which gives us 70.9%. Therefore, 0.709 as a percent is 70.9%.

Lastly, two-thirds is equivalent to the decimal 0.666... (repeating). To turn this into a percent, we again multiply by 100, yielding approximately 66.7%, after rounding.

15=7-x find x please

Answers

x is 8, you minus 7 from both sides
The answer to this is x = -8.

The price of a mountain bike is decreased from $250 to $220 by what percent is the price decreased?

Answers

there is your answer good luck

Help me please To solve the task Mrs. Hilt had $4,000 in her savings account. She earned 10% interest each year. If she left that money in the account for one year, how much will she have in the account at the end of that year?

Answers

Mrs. Hilt will have $4,400 in her savings account at the end of one year after earning 10% interest on her initial $4,000 deposit.

To solve the task of determining how much Mrs. Hilt will have in her savings account after one year, we need to calculate the interest earned and add it to the original amount. Mrs. Hilt has $4,000 in her account, and the annual interest rate is 10%.

The interest Mrs. Hilt will earn in one year is calculated by multiplying the principal amount by the interest rate: $4,000 x 0.10 = $400. Therefore, the total amount in the account after one year, which includes the original principal and the interest earned, is $4,000 + $400 = $4,400.

In summary, Mrs. Hilt will have $4,400 in her savings account at the end of one year, based on a 10% annual interest rate.

The slope of the line below is negative 1/7 write the point slope equation of the line using the coordinates of the labeled point? Plz help I'll give brainliest answer

Answers

Point slope equation is written in the format y-y1=m(x-x1), with the x1 and y1 being the coordinates of a point on the line, and m = slope.

m=-1/7
x1=3
y1=3

y-3=-1/7(x-3)

The correct answer is a.
I would say A because y=mx+b so since its negative this would be the most logical explanation

A book has a front and a back and 400 pages. The front and back cover are each 0.9mm thick measured to 1 decimal place. Each page is 0.13 mm thick measured to 2 decimal places. Calculate the minimum thickness of the book.

Answers

Answer:

Step-by-step explanation:

0.9 UB=0.95

0.9 LB=0.85

0.13 UB= 0.135

0.13 LB= 0.125

0.85x2=1.7

0.125x400=50

1.7+50=51.7

Minimum thickness=51.7mm

Final answer:

To calculate the minimum thickness of the book, add up the thickness of the front cover, the back cover, and all the pages. The minimum thickness of the book is 54.8mm.

Explanation:

To calculate the minimum thickness of the book, we need to add up the thickness of the front cover, the back cover, and all the pages. The front cover has a thickness of 0.9mm, the back cover has a thickness of 0.9mm, and each page has a thickness of 0.13mm. There are 400 pages in the book. So, the minimum thickness of the book can be calculated as:

Front cover thickness + Back cover thickness + (Number of pages x Page thickness)

0.9mm + 0.9mm + (400 x 0.13mm) = 0.9mm + 0.9mm + 52.0mm = 54.8mm

Learn more about minimum thickness of a book here:

https://brainly.com/question/20067419

#SPJ3

suppose you earn $7.25 per hour working part-time for a florist. Write and solve an inequality to find how many full hours you must work to earn at least $125

Answers

7.25x > 125 because x equals amount of hours times 7.25 is greater that 125
Let's say t is the amount of time (in hours) it takes to make $125,
with that out of the way, the keyword "at least" makes it so that you can get 125 or more in t hours.
The inequality is $125<=7.25t.
Now you can use the guess and check method, for this example we'll use t=18 and t=17. 
7.25(18)=$130.5
7.25(17)=$123.25

Therefore, the answer is 18, because 18 gives you a number greater than or equal to $125

what fraction is a equivalent to 0.1. repeating

Answers

1/9 because 1 divided by nine is 0.1 repeating.

10x=1.1...
x=0.1...
Then subtract the two equations from each other:
9x=1
Solve for x:
x=1/9

Convert 0.18888888 to a fraction

Answers

If it's converted to a fraction it becomes 2361111/12500000

That's the fraction in simplified form.
                          2361111 
0.18888888=   -------------
                        12500000

tasha fnished a job in 3/4 hour. megan finished it in 4/5 of the time tasha took. how long did megan take to finish the job?

Answers

so if it was three four hours and he took four five of the time it will be all day for take away for 0/0
3/4 of an hr = 45 min
4/5 of 45 min = 36 min

Megan took 36 min to finish the job



Tom Quig traveled 260 miles east of St. Louis. For most of the trip he averaged 60 mph, but for

3)

one period of time he was slowed to 20 mph due to a major accident. If the total time of travel was

7 hours, how many miles did he drive at the reduced speed?

Answers

I think it's 4 hours because 60 times 2 is 180.
260 minus 180 is 80. 80 divided by 20 is 4.
4 plus 3 is 7

3y+11 plus 7x-30 plus 5x+14 find x and the y

Answers

3y + 11 + 7x - 30 + 5x + 14

3y + 12x - 5

3y = -12x + 5

y = (-12x + 5)/3
x = (3y - 5)/-12

hope this helps

Write the equation in slope-intercept form:

x - y = 4

Question 8 options:

a) y = -4x
b) y = x - 4
c) y = 4x
d) y = x/4

Answers

x-y=4 written in slope intercept form would be B. y=x-4

Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.

Answers

Answer:

In explanation...

Step-by-step explanation:

2y = 4x + 4 and y = -2x - 2 is Neither

4y = 2x - 4 and y = -2x + 9 is Perpendicular

y = 2x + 4 and 2y = 4x - 7 is Parallel

Hope this helps.

This is a different question that I am answering because the question I am talking of said perpendicular, parallel, or neither rather than parallel, perpendicular or neither. Srry.

Tom and his friend Edward are seeking to join the gym. Tom saw on television that platinum Jim was having a grand opening in a few months. Tom is considering a membership at platinum gym. Platinum Jim tried it one time registration fee of $60, and membership is $20 a month. Tom’s best friend Edward says he plans to join super fit because if it only charges $10 a month but has a one time registration fee of $150

Answers

60+20x=150+10x, this is your equation
ok so here are the answers for all of them.

A) 60+20x (or 20x + 60)

B) 150+10x (or 10x+150)
Tom would pay less during the first month of membership. Edward would Payless after year of membership.
for the first month Tom would pay 60+20(1) =$80. Edward would pay 150+10(1) = $160.
After a year, Tom would pay 60+20(12)=$300. Edward would pay 150+10(12)=$270.

D) At 9 months, Tom and Edward both paid $240
60+20x=150+10x
10x=90
x = 9
60+20(9)=$240 or 150+10(9)=$240

E) platinum gym is a better deal before nine months. Superfit is a better deal after nine months.

Drag and drop numbers into the boxes so that the paired values are in a proportional relationship.

Answers

If x is 2 and y is 1, this means that if y is 3, x must be 6.

The answer is 6

In 34 pound of a spice mix, there is 56 cup of cinnamon.
How much cinnamon does the spice mix contain per pound?

5/8 cup

​ 9/10 ​ cup

​ 1 1/9 ​ cups

​ 1 3/5 ​ cups

Answers

Find the unit rate:

56 cups cinnamon
------------------------- = 1.64 cups of cinnamon per pound.
  34 pounts

This result (11/17 cups/lb) does not match any of your 4 answer choices, but is closest to 1 3/5 cups/lb.
Final answer:

To determine the amount of cinnamon per pound of the spice mix, divide the total cups of cinnamon (56) by the total pounds of the mix (34), resulting in approximately 1.647 cups per pound. This equates to 1 3/5 cups of cinnamon per pound, which is the closest option.

Explanation:

The question asks us to calculate how much cinnamon is contained in each pound of a spice mixture if we know that there are 56 cups of cinnamon in 34 pounds of the spice mix. To find the cinnamon content per pound, we'll divide the total number of cups of cinnamon by the total number of pounds of the spice mix.

Here is the calculation:
56 cups cinnamon / 34 pounds spice mix = cups per pound.

Doing the division, we get: 56 / 34 = 1.647 cups, which we need to express as one of the provided options. The nearest option to 1.647 is 1 3/5 cups, or 1.6 cups, when rounded to the nearest fraction.

Therefore, the spice mix contains 1 3/5 cups of cinnamon per pound.

Harriet counts 15 big boxes and 12 small boxes of notebooks. Each large box contains 189 notebooks, and each small box contains 79 notebooks. Estimate the total number of notebooks. Is your estimate an overestimate or an underestimate? Explain why it is better to have an overestimate than an underestimate.

Answers

its better to overestimate better than underestimate because the numbers of actual notebooks is already larger then the amount counted

Becky owes $250 on her credit card. She pays off $120 but then uses the card to purchase $50 worth of art supplies for her students. How much money does Becky have now?

Answers

$180. I hope this helps!

A scuba diver is swimming 30 feet below sea level. A hang glider passes over the position of the scuba diver. The hang glider is 215 feet above sea level. What is the distance between the scuba diver and the hang glider? A) 185 feet B) 245 feet C) -185 feet D) -245 feet

Answers

You can't be a negative distance away from a person. Rule out C and D. to get the distance, you add the 2 numbers. 30+215 is 245. it is B.
Distance can never be negative so, therefore the answer could not be D) -245 or C) -185. It also cannot be A) 185 ,cause when you add 215+30=245 therefore, B) 245 is your answer! :) Hope this helps 

How do I solve this math Distribute and Combine Like Terms Maze -4(3-5x)-4x

Answers

Distribut the -4 first:
-12+20x-4x
Combine like terms:
-12+16x
and you are done
-4 times 3 and -4 times -5x will give you -12+20x which leaves you with -12+20x-4. You have to subtract the alike terms which is -12 and 4 so -12-4=-16 which means the final answer is 20x-16

Carlos completed 7 of 10 passes. Th completed 21 of 30 passes. Compare Their pass-completion rates?

Answers

7/10 x 3/3 = 21/30
(you need the same denominator to compare)
21/30

Carlos and Th completed the same amount of passes

hope this helps

Carlos was 7 out of 10 = 7/10= 0.7 = 70%

Th was 21 out of 30 = 21/30 = 0.7 = 70%

 they have the same rate

Graces turkey weighs six pounds and fourteen ounces. Christians turkey weighs eighteen pounds and three ounces. How much more does Christians turkey weigh than Graces?

Answers

12.16 is the answer. I subtracted 18.3-6.14.


please vote my answer brainliest. thanks!
Final answer:

To find out how much more Christians turkey weighs than Graces, convert the weights to the same unit and subtract Graces turkey weight from Christians turkey weight. The difference is 11.125 pounds.

Explanation:

To find out how much more Christians turkey weighs than Graces, first convert the weights of the turkeys to the same unit. Then subtract Graces' turkey's weight from Christians' turkey's weight.

To convert 6 pounds and 14 ounces to pounds, divide the 14 ounces by 16 and add the result to 6. This equals 6.875 pounds.

Now subtract Graces' turkey weight from Christians' turkey weight: 18 pounds and 3 ounces - 6.875 pounds = 11.125 pounds. Therefore, Christians' turkey weighs 11.125 pounds more than Graces' turkey.

What are two partial products you could add to find 990x37

Answers

Final answer:

To find the product of 990 and 37 using partial products, break down each number into its place value components and multiply accordingly.

Explanation:

To find the product of 990 and 37 using partial products, we can break down each number into its place value components. First, we multiply the ones place of 990 by the ones place of 37, which gives us 0. Next, we multiply the tens place of 990 by the ones place of 37, which gives us 370. Finally, we multiply the hundreds place of 990 by the ones place of 37, which gives us 3330. Adding all these partial products together, we get 3700 + 3330 + 0 = 7030.

On a map of Illinois, the distance between Chicago and Algonquin is 3.2 centimeters. If 2 centimeters = 40 kilometers, what is the approximate distance between the two cities?

Answers

Final answer:

The approximate distance between Chicago and Algonquin is 64 kilometers.

Explanation:

To find the approximate distance between Chicago and Algonquin, we can use the given scale of 2 centimeters = 40 kilometers. Since the distance on the map is 3.2 centimeters, we can set up a proportion to find the actual distance:

2 cm / 40 km = 3.2 cm / x km

Cross multiplying, we get 2x = 40 x 3.2, which simplifies to 2x = 128. Dividing by 2, we find that x is equal to 64. Therefore, the approximate distance between Chicago and Algonquin is 64 kilometers.

Like terms that have the same ____,with each variable raised to the same exponent.

A. Operation(s)
B. Variable(s)
C. Expression(s)
D. Exponent(s)

Answers

Like terms have the same variables with each variable raised to the same exponent
varaiables and this asnwer is correct

12 tickets for $4.68 or 10 tickets for $4.50

Answers

4.68/12 = 0.39 per ticket
4.50/10 = 0.45 per ticket.

So, we are better off taking 12 tickets for $4.68

Hope this helps!
Other Questions
Cite evidence to show that the executive office of the president is an essential part if the executive branch Researchers indicate that excessive amounts of cortisol may result in the development of gigantism. TF Which sentence uses an infinitive as an adjective? A)To become an engineer has always been a dream of mine. B)Sally tried to play the guitar, but she became a singer instead. C)Fred was a serious soccer player and was determined to win each game. D)The best way to learn to make biscuits is to talk to my mom. Explain how the appearance of the chromatogram might change if the chromatographic paper were initiallywet with water or had come in contact with the skin Find the missing angle. how did the united states gain ownership of louisiana? A the native americans gave the area to the united states as a peace offeringB they purchased louisiana from franceC they purchased louisiana from spainD the united states fought a war with england to obtain the land I am sending you a text, it is really long and detailed, so I hope you read it very slowly. Which answer identifies an adjective phrase and the word it modifies Write an equation of a line that is perpendicular to y = x + 3 and passes through the point (10, -5).Question 4 options:y = 2x 15y = - 2x + 15y= -2x 5y = -1/2 x What are bustees?a. sprawling squatter settlements in south asiab. this is the name for the untouchable caste in hindu south asia.c. citizen groups that lobby for better government services in pakistand. a type of insect pest that threatens crops throughout south asiae. the local name given to the monsoonal winds that plague bangladesh? Write an expression for the calculation 4 times the difference of 10 and 8 minus 3 Read the excerpt from a paper on Everyman. At first, Kindred says, "In wealth and woe we will with you hold, but then he says, "As for me, ye shall go alone. This leads the reader to conclude that Kindred is shallow, contradictory, and possibly selfish. The paper is analyzing a character. identifying an archetype. defining a chivalric hero. describing a fantasy. Helppppp plzz quickkk For the enzymatically catalyzed reactions shown below, classify the enzymes as oxidoreductases, transferases, hydrolases, lyases, isomerases, or ligases. answer parts (a), (b), and (c). g What is the slope of the line graph?Enter your answer in the box Which of the following is NOT a fish?A. FlounderB. LobsterC. MulletD. Perch What is the multiple zero and multiplicity of f(x) = x3 8x2 + 16x?multiple zero = 4; multiplicity = 2multiple zero = 2; multiplicity = 4multiple zero = 4; multiplicity = 2multiple zero = 2; multiplicity = 4 What is the chemical name for a compound with the formula ba3n2? Franz asks joe if he will paint his office building for $1,000. joe says he will do the job for $2,000. joe's response is Compare the reaction times for voluntary vs. involuntary activation of the quadriceps muscle. what might account for the observed differences in reaction times? outline what has to occur in the body for each reaction to occur. refer to your drawing from step 23. information from the flow chart you created in activity 2.2.1 might also be helpfu Although the Constitution does not award the Vice President many duties, which of the following is one of their tasks? A.)assisting the President in policy making by traveling the world and meeting with foreign leadersB.)serving as economic leader and assisting with the federal budgetC.) writing bills to present to the Senate D.)leading and advising the Department of Defense Steam Workshop Downloader