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]

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.

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

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.

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 :)

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.

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.

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

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

Answer:

You have no apples then loose 11 more

Step-by-step explanation:

Trust

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.

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

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

Option A is correct answer, reflection across y axis

Answer:

A

Step-by-step explanation:

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°

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

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!

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°

Answer:

y=x+6

Step-by-step explanation:

Answer:

I like yo cut gggggggggggg

Answer:

the story of my life

Step-by-step explanation:

good luck <3

Answer:

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

Step-by-step explanation:

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.

Answer:

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

Step-by-step explanation:

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