2. A train starts its journey with 240 passengers.
144 of the passengers are adults and the rest are children.
(a) Write the ratio Adults: Children in its lowest terms.
[2]
(b) At the first stop, 37 % of the adults and of the children get off the train.
20 adults and x children get onto the train.
The total number of passengers on the train is now 200.
(i)
How
many children got off the train?
(ii)
How
many adults got off the train?
[1]
(iii) How many adults passengers are on the train as it sets off again? [1]
(iv) What is the value of x?
[1]

2. A Train Starts Its Journey With 240 Passengers.144 Of The Passengers Are Adults And The Rest Are Children.(a)

Answers

Answer 1

Answer:

i=52

ii=32

iii=54

iv=92

Step-by-step explanation:

Comment if you need explanation

Answer 2

Answer:

A. 3:2

B. 31 children

(i). 35 children

(ii) 53 adults

(iii) 111 adults 89 children

(iv) The value of x is 35.

Step-by-step explanation:


Related Questions

solve for x, 3x + 5 > 88

Answers

Answer:

x > 83 / 3

Step-by-step explanation:

Let's solve your inequality step-by-step.

3x+5>88

Step 1: Subtract 5 from both sides.

3x+5−5>88−5

3x>83

Step 2: Divide both sides by 3.

3x/3 > 83/3

x > 83/3

please help me with this.

Answers

Answer:

The answer is c

Step-by-step explanation:

The slope of the equation is

[tex] \frac{6 - 2}{7 - 9} = \frac{4}{ - 2 } = - 2 [/tex]

Let's take a point on the line (x, y)

[tex] \frac{y - 6}{x - 7} = - 2[/tex]

After solving this you can get

[tex]y - 6 = - 2(x - 7)[/tex]

That is the answer

which sutuation could be represented by -11

Answers

Answer:

You have no apples then loose 11 more

Step-by-step explanation:

Trust

Which inequality matches the graph shown?

Answers

Answer:

I am pretty sure it is x>8 which is B.

Step-by-step explanation:

I’m one hundred percent positive it’s B because if it’s open the aren’t less then or equivalent to or greater than or equivalent to

A cargo helicopter delivers only 100100100-pound packages and 120120120-pound packages. For each delivery trip, the helicopter must carry at least 101010 packages, and the total weight of the packages can be at most 1{,}1001,1001, comma, 100 pounds. What is the maximum number of 120120120-pound packages that the helicopter can carry per trip?

Answers

Answer:

5

Step-by-step explanation:

Given that:

Weight of package delivered = 100 - 120 pounds

Number of packages carried per trip is atleast 10 = ≥ 10

Total weight of packages must be at most 1,100 ≤1,100

The maximum number of 120 pound packages the helicopter can carry:

Maximum capacity = 1100 pounds

Number of packages ≥ 10

Let number of 110 packages carried = x

Number of 120 packages carried = y

x + y ≥ 10 - - (1)

100x + 120y ≤ 1100 - - - (2)

From (1): x ≥ 10 - y

100(10 - y) + 120y ≤ 1100

1000 - 100y + 120y ≤ 1100

1000 + 20y ≤ 1100

20y ≤ 1100 - 1000

20y ≤ 100

y = 5

y = number of 120 pound packages carried

y = 5

Answer:

5

Step-by-step explanation:

Let

x = number of 100 pound packages

y = number of 120 pound packages.

For each delivery trip, the helicopter must carry at least 10 packages.

x + y ≥ 10

x ≥ 10 - y

Total weight of the packages the helicopter can deliver can be at most 1,100 pounds

100x + 120y ≤ 1100

Divide through by 20

5x + 6y ≤ 55

Substitute x ≥ 10 - y into the equation

5(10 - y ) + 6y ≤ 55

50 - 5y + 6y ≤ 55

y ≤ 55 - 50

y ≤ 5

Therefore, the maximum number of 120 pound packages helicopter can carry is 5.

What is homework plus midnight?

Answers

Answer:

the story of my life

Step-by-step explanation:

good luck <3

The mean test score of 28 students is 72.
A student joins the class and the mean becomes 71.
Find the test score of the student who joined the class.
Test score =

Answers

Answer:

test score of new student = 43

Step-by-step explanation:

28 x 72 = 2016 (total points class scored)

29 x 71 = 2059 (total points class scored after student joined)

2059 - 2016 = 43

The test score of the student who joined the class is 43.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The mean test score of 28 students is 72.

A student joins the class and the mean becomes 71.

We have to find the test score of the student who joined the class.

28 x 72 = 2016

29 x 71 = 2059 (total points class scored after student joined)

The difference between 2016 and 2059 is the test score of new student.

2059 - 2016 = 43

Hence, the test score of the student who joined the class is 43.

To learn more on Statistics click:

https://brainly.com/question/29093686

#SPJ2

If the measure of angle ACB is 65 degrees, find the measure of angle BCD

Answers

Answer:

the answer is 25

Step-by-step explanation:

you take 65 and add 90 to it because there is an angle that is 90 and you should get 115 then you take 115 and subtract it from 180. and you will get 25 and 25 is your answer.

hope this helped!

p.s it would be cool if you gave me brainliest.

Answer: The answer would be 25

Step-by-step explanation:

Hope this helps!

The sum of two numbers is 91. The greater number is 7 more than the smaller number. Which equation can be used to solve for the smaller number?

x(x + 7) = 91
x(x − 7) = 91
x + (x + 7) = 91
x − (x + 7) = 91

Answers

Answer:

x+(x+7)=91

Step-by-step explanation:

Hope this helps :)

Answer:   your answer for the smaller number is 38.5 and the larger number is 52.5.

Step-by-step explanation:

To make sure it's right, I just add the numbers together.

Your Problem:

91 ÷ 2 = 45.5

45.5 + 7 = 52.5

45.5 - 7 = 38.5

52.5 + 38.5 = 91

Describe the transformation
A) reflection across the y-axis
B) reflection across the x-axis
C) translation 4 units to the right
D) reflection across the line y=x

Answers

Option A is correct answer, reflection across y axis

Answer:

A

Step-by-step explanation:

b) Simplify the expression (V7 + 3) square 2

Answers

V*7+3*v7+3 I’m not sure so I might be wrong

Answer:

[tex]49v^{2} +42v+9[/tex]

Step-by-step explanation:

First, let me say, I'm not sure what exactly the equation is because it's worded weirdly, but I'm assuming it's [tex](7v+3)^{2}[/tex].

(7v+3)(7v+3) [[tex]7v+3^{2}[/tex] is the same as (7v+3)(7v+3).]

[tex]49v^{2} +42v+9[/tex] [When you multiply them, this is the product.]

This is as far as you can simplify without knowing the value of v as far as I know.

XY−→− bisects ∠WXZ and m∠WXY=29∘. Find m∠ZXY and m∠ZXW.

Answers

Answer:

29° and 58°

Step-by-step explanation:

Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus

∠ ZXY = ∠ WXY = 29°

∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°

not really an academic subject lol just a stoopid inquiry
.
.
does anyone else stay up super late even if they're tired? like you haven't "completed" your day yet. just me?... TT_TT pls help

(my sleep schedule is very messed up) :,)

Answers

Answer:

Yes me too! Except I watch movies because I have a feeling they won't be there tomorrow lol

Step-by-step explanation:

Elena finds that the area of a house on a scale drawing is 25 square inches. The actual area of the house is 2,025 square feet. What is the scale of the drawing?​

Answers

Answer:

81 sq. inches

Step-by-step explanation:

Since they are asking for the scale of her drawing,

you have to divide the actual area of the house

by the area of the house on a scale drawing.

You only divide if they ask for the scale of the

drawing.

also

You only multiply if they ask for the scale of the

actual model.

Help me !!! Please someone

Answers

Answer:

5 and 6

Step-by-step explanation:

The square root of 25 is 5 and the square root of 36 is 6. 33 falls between those

Mr. Garcia wants to leave a 15% tip to his server at Applebee's. If his total was $75, how much would his total be including the tip? *

$11.25
$90.00
$86.25
$75.15

Answers

A 11.25
Anything else is to much

What is the value of x?
A.9.4
B)7
C)-9.4
D)-7

Answers

Answer:

the answer is B

Step-by-step explanation:

You can automatically eliminate C and D because it is not a negative and the parallel is a positive number. Then you can eliminate A because it is not a decimal. To check your work you but 7 in for X and you will get 74°

The quadratic function that approximates the height of a javelin throw is h(t) = -0.08t2 +4.48, where t is the time in seconds after it is thrown and h is the javelin's height in feet. How long will it take for the javelin to hit the ground?​

Answers

I believe the answer is .21345

Which of the following cannot be true about a linear pair of angles?

Answers

A linear pair of angles cannot add up to anything other than 180 degrees.

They cannot be complementary because complementary means add up to 90 degrees.

plz plz plz help me quick i got 10 mins

Answers

Answer:

y=x+6

Step-by-step explanation:

Mr. Lowell has one of the most impressive antique toy collections in the United States, and he plans to distribute all 34,083 toys in his collection evenly to 21 different museums. How many toys will each museum get?

Answers

You have to divide 34,083 by 21 which gives you 1,623. So each museum will get 1,623 toys each.

A department store buys 200 shirts at a cost of $1,600 and sells them at a selling price of $10
each, Find the percent markup.

Answers

It would be 160% I think

How do I solve |x-1|-1.4 = 6.2

Answers

Answer:

x1= -6.6   x2= 8.6

Step-by-step explanation:

Answer:

x1= -6.6, x2= 8.6

Step-by-step explanation:

|x-1|-1.4=6.2

|x-1|=6.2+1.4

|x-1|= 7.6

x-1=7.6 or x-1= -7.6

x= 8.6 and x= -6.6

Simplifying Expressions ,

Answers

17? Let me know if it’s right

2(x-5)=4(x+1)
Please solve for x

Answers

Answer:

-7

Step-by-step explanation:

-7-5=-12

-12×2=-24

-7+1=-6

-6×4=-24

-24=-24

Answer:

x = -7

Step-by-step explanation:

2(x - 5) = 4(x + 1)

Multiply the parenthesis by the outside numbers (simplify).

2x - 10 = 4x + 4

Combine like terms (add 20 to both sides, and subtract 2x).

0 = 2x + 14

Subtract 14 from both sides of the equation.

2x = - 14

Divide both sides of the equation by 2.

x = -7

Hope this helps, let me know if you have any questions :)

The charge in dollars for cab rides in one city is modeled by f(c) = 4 + 2.5m. When m is the number of miles traveled, what is the charge for a 3-mile ride?

Answers

The answer is 2826 I hope this helps you

Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes. Part A How would you represent Andy's descent as a unit rate? Express your answer as an integer. Enter your answer in the box. feet per minute Part B If he continues at this rate, where will Andy be in relation to sea level after 6 minutes? feet

Answers

Answer:

A. 4 feet per minute

B. 24 feet

Step-by-step explanation:

Given that: distance = 10 feet

                   time = 2 1/2 minutes = 2.5 minutes

A. The descent rate is the speed with which an object descends with respect to a reference point or plane.

Speed is the rate of the distance moved to time taken.

speed = [tex]\frac{distance}{time}[/tex]

           = [tex]\frac{10}{2.5}[/tex]

           = 4 feet/minute

Andy's descent is 4 feet/minute.

B. If he continues at this rate, his distance in relation to sea level after 6 minutes would be;

speed = [tex]\frac{distance}{time}[/tex]

4 = [tex]\frac{distance}{6}[/tex]

distance = 4 x 6

              = 24 feet

Thus, Andy would be at 24 feet in relation to sea level after 6 minutes.

An object travels 8 miles in 20 minutes at a constant speed. What is the
object’s speed in miles per hour?

Answers

Answer:

The answer is 0.4mph

Step-by-step explanation:

To find the speed of an object, you do distance ÷ time.

So you do 8 ÷ 20 which is 0.4.

So the object travels 0.4mph

Find the equation of the line.

Y=__x + __

Answers

to find the slope (m), count how many units vertically and horizontally it takes to get from any one point to the other (rise/run)

i’ll use (0,-6) and (-4,-5)
it takes 1 vertical unit and 4 horizontal units to the left to get there, so the slope is 1/-4

to find the y intercept (b), it’s simply the point where the line intercepts the y axis (vertical line). in this case it’s at (0,-6). the y intercept would then be -6

now just plug those into the slope intercept form: y = mx + b

the equation of the line is y = 1/-4x - 6
Answer: y= -1/4x - 6

Write an algebraic expression for the area of the conference room

Answers

Answer:

I like yo cut gggggggggggg

Other Questions
Converting compound units You would like to know whether silicon will float in mercury and you know that can determine this based on their densities. Unfortunately, you have the density of mercury in units of kilogram/meter3 and the density of silicon in other units: 2.33 gram/centimeter3. You decide to convert the density of silicon into units of kilogram/meter3 to perform the comparison. By which combination of conversion factors will you multiply 2.33 gram/centimeter3 to perform the unit conversion? PLEASE HURRY- WILL MARK BRAINLIESTWhat are elements of a body paragraph in a comparative essay? Select four options. details, evidence, examples, a summary, a thesis statement, a topic sentence 10. Separate the number 38 into two parts sothat one number is 6 less than the othernumber Suppose that you roll a die 8 times. What is the probability that you roll a six three or fewer times HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERESHOW THE WORK BRO PLEASEEEEWhat is the value of x? The sum of three consecutive odd numbers is 69. What is the biggest number? Review the proof of de Moivres theorem (not in order). Proof of de Moivre's Theorem [cos() + isin()]k + 1A = [cos() + isin()]k [cos() + isin()]1B = cos(k + ) + isin(k + )C = cos(k)cos() sin(k)sin() + i[sin(k)cos() + cos(k)sin()]D = [cos(k) + isin(k)] [cos() + isin()]E = cos[(k + 1)] + isin[(k + 1)]Which steps must be switched to put the proof in order?steps B and Csteps B and Dsteps C and Dsteps C and E Coach Martinez encouraged Ashlynn to practice more and improve HER game. Coach MartinezpracticeAshlynngame Sheridan Company sells radios for $50 per unit. The fixed costs are $445000 and the variable costs are 60% of the selling price. As a result of new automated equipment, it is anticipated that fixed costs will increase by $65000 and variable costs will be 50% of the selling price. The new break-even point in units is: If a committee agrees to a markup session for a bill, this means that __________. Does this represent a function? Which is larger change in temperature, 1C or 1F? 40/12 to a mixed fraction ? What caused the growth in leisure time activities in the late 1800s?bautomobileshigher incomes and more free timethe move from cities to suburbsprivate funding of concert halls and theatersCd A long-term effect of the election of 1800 wasnew duties for the vice president.the decline of the Federalist Party.an increase in John Adamss power.stricter laws about campaigning. Which could best serve as the theme of a story?time with friendsFriends are often warmer than family.Friends are made at school or the workplace.friends if you go three times around a complete circular lawn of raidius r and reach the starting point, then the displacement is zero. true or false plz help me with this i do not understand math stuff Complete each exchange using the negative expression ne... pas. Pay special attention to the form of thearticle following ne... pas.Please help?! Fernando is ordering building materials for the construction of a very large office building. He has purchased LaTeX: 5.65 \times 10^{6}5.65 10 6 feet of beams for the building from a supplier. If the supplier delivered LaTeX: 5.9 \times 10^{6}5.9 10 6 feet of beams, how much extra material does Fernando have? Express your answer in standard form AND in scientific notation. Use words, numbers, to show your answer