6 A train has 1 first-class carriage and 6 standard carriages. The first-class carriage has 64 seats. are being used. Each standard carriage has 78 seats. in each carriage are being used. Are more than half the seats on the train being used?

Answers

Answer 1

Answer:

YES

Step-by-step explanation:

(3/8)·64 = 24 seats in the first class carriage are being used.

(7/13)·(78)·3 = 126 seats in the standard carriages are being used, for a total of ...

 24 + 126 = 150 . . . occupied seats

The number of available seats is ...

 64 +3·78 = 298

so half the seats on the train will be 298/2 = 149 seats.

 150 > 149, so more than half the seats on the train are being used.


Related Questions

The distance between P and Q is

Answers

Answer:

5

Step-by-step explanation:

[tex] \sqrt{ {(9 - 6)}^{2} + {(6 - 2)}^{2} } = \\ \sqrt{ {3}^{2} + {4}^{2} } = \\ \sqrt{25} = \\ 5[/tex]

Find the measure of 43.
43
75
43 = [?]

Answers

Answer:

<3=105°

Step-by-step explanation:

The angle directly to the right of the 75° angle is 105°, as the angles along a straight line add to 180.

<3=105° because they are corresponding angles

Answer:

Solution given:

<3+75=180[co- interior angle]

<3=180°-75°=105°

<3=105°

A concrete wall is .5 yards wide 5 yards long and 2.5 yards high. Concrete cost 90$ per cubic yard what is the cost of the wall

Answers

Answer:

$562.50

Step-by-step explanation:

1) Find the volume

V = base x width x height = 5 x 0.5 x 2.5 = 6.25 in^3

2) Multiply the nearest whole number  x 90

cost = 6 x 90 = $540

3) find the cost of 0.25 in^3

90 : 4 = 22.5

4) find the total cost

540 + 22.5 = $562.50

A photocopy machine can copy 42 pages every two minutes. How many pages can it
photocopy in 5 minutes?

Answer choices
4.2
420
105
21

Answers

Answer:

C. 105

Step-by-step explanation:

2 min → 42 pages5 min → x

Cross-multiply and solve for x:

x = 5*42/2x = 105 pages

Correct choice is C

a fruit ponch can is 1/4 or 35 L ?​

Answers

Answer:

35 L

Step-by-step explanation:

because it cant be 1/4

Can someone please help me I will give u brilliant

Answers

Answer:15

Step-by-step explanation:

Answer:  The value of the median is 15.

Step-by-step explanation:

Find the equation of this line shown

Answers

i believe the equation is y=2x-1 .
hope this helps.

In a class, 4/5 of the students have mathematical instruments. 1/4 of these students have lost their protractors. What fraction of students in the class has protractors?​

Answers

Answer:

[tex]\frac{11}{20}[/tex]

Step-by-step explanation:

[tex]\frac{4}{5} - \frac{1}{4}[/tex]          Subtract the students who don't have protractors from the students who have mathematical instruments.

[tex]\frac{11}{20}[/tex]

9514 1404 393

Answer:

  3/5

Step-by-step explanation:

We assume that every student with mathematical instruments who hasn't lost their protractor will have a protractor.

If 1/4 of the students with instruments lost their protractor, then the remaining 3/4 of students with instruments still have their protractors. The fraction of the class with protractors is ...

  (3/4)(4/5) = 3/5

3/5 of the students in the class have protractors.

Which triangles are similar to △DEF?

Answers

Answer:

I believe it should be feg

What is the next number in the pattern?

Answers

Answer:

9

Step-by-step explanation:

3 3/4= 3.75.

3.75-2=1.75

1.75+5.5=7.25 or 7 1/4

7.25+1.75=9

When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.

Required:
Write a differential equation that expresses the rate of change in the radiation level in terms of the radiation level.

Answers

Answer:

The differential equation is [tex]\frac{dR}{dt} = -kR[/tex]

Step-by-step explanation:

Differential equation for the rate of change in radiation level:

Radiation level is R.

Rate of change indicates that the radiation level R varies in function of time t, which mathematically means that we have:

[tex]\frac{dR}{dt}[/tex]

After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.

Rate of change is k. Decreases means that k is negative. Proportional to the radiation level of R means that -k multiplies R. So the differential equation is:

[tex]\frac{dR}{dt} = -kR[/tex]

The line passes through the point (-4,1) and is perpendicular to the line y=1/2x-4.

Answers

Answer:

y=-2x-7

Step-by-step explanation:

lines are typically written in y=mx+b form, where m is the slope and b is the y intercept

we are given the line y=1/2x-4

perpendicular lines are negative and reciprocal; if the slopes are multiplied together, the result is -1

so to find the slope of the new line, use this formula:

1/2m=-1

multiply by 2

m=-2

so the slope is -2

here's the equation so far, written in y=mx+b form

y=-2x+b

we need to find b

because the line passes through the point (-4,1), we can use it to solve for b

substiute -4 as x and 1 as y

1=-2(-4)+b

1=8+b

-7=b

so b is -7

therefore the line is:

y=-2x-7

Hope this helps! :D


Two dice are tossed. Find the probability of getting the sum of the dice equal to 1.

Answers

Here's the Answer,

the given outcome is an impossible event, because the sum of numbers can't be less than 2 hence, sum equal to 1 isn't possible.

And we know, the probablity of an impossible event is 0.

In a class of 28 students, 10 are female and 15 have an A in the class. There are 4
students who are female and have an A in the class. What is the probability that a
student chosen randomly from the class is a female who has an A?

Answers

Answer: 10 out of 28 chancd

Step-by-step explanation:

Answer:

4/28

Step-by-step explanation:

trust me

In a grocery store, the total number of cashiers and stockers must be at least 12 but not more than 20. There must be at least 5 cashiers and
at least 3 stockers.
Let x represent the number of cashiers and y represent the number of stockers.
Which system of inequalities can be used to find the number of cashiers and stockers required?
A
(x>5
ly> 3
x + y > 12
x + y > 20
C.
(x>5
y> 3
x + y > 12
(x + y<20
B.
(x 25
y23
x + y s 12
(x + y = 20
D.
(x25
y23
x + y 2 12
(x + y s 20

Answers

I think the answer is A

what is equivalent to
(3x+1)(4x-1)

Answers

(3x+1)(4x-1)

3x+4x=7x
1-1=0

So

(3x+1)(4x-1) = 7x

I hope this helped and was right, have a nice day

Select the values that make the inequality -n< −4 true. Then write an equalivalent inequality, in terms of nn. (Numbers written in order from least to greatest going across.)
values: -9 -5 -4.1 -4 -3.9 -3 -1 0 1 3 3.9 4 4.1 5 and 9

Answers

Answer:

values that make the inequality true would be any absolute number that is bigger than 4

so that would be n>5

Step-by-step explanation:

What is the volume?
help thanks ( :

Answers

Answer:

54 is the volume

Step-by-step explanation:

Multiply 9 * 2 * 3 = 54

Answer:

54

Step-by-step explanation:

...

Simple questions!!
I dont need a link!
The first questions are the same as the secong so I need help

Answers

Answer:

First Circle

Radius = 6

Diameter = 12

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 6 = 37.68

2nd Circle

Radius = 3

Diameter =  6

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 3 = 18.84

Hope This Helps!

PLZ CLICK!! Need help ASAP! I have a time limit.

Answers

Answer:

what's the question for this?

Answer:

33

Step-by-step explanation:

so this is perimeter and area

PLZ help! Find the surface area and volume. Leave your answers in terms of TT.

Answers

Solution:-

1. Radius (r) of the sphere = 10 units. (Given)

• Surface area of the sphere = 4πr².

Surface area of the sphere = 4 × π × (10)²

Surface area of the sphere = 4 × π × 10 × 10

Surface area of the sphere = 400π units. (Ans)

And,

• Volume of the sphere = 4/3πr³.

Volume of the sphere = 4/3 × π × (10)³

Volume of the sphere = 4/3 × π × 10 × 10 × 10

Volume of the sphere = 4000π/3

Volume of the sphere = 1333.3π cubic units. [approx] (Ans)

__________________________________

2. Diameter of the sphere = 16 units. (Given)

Radius (r) of the sphere = 16/2 = 8 units.

• Surface area of the sphere = 4πr².

Surface area of the sphere = 4 × π × (8)²

Surface area of the sphere = 4 × π × 8 × 8

Surface area of the sphere = 256π units. (Ans)

And,

• Volume of the sphere = 4/3πr³.

Volume of the sphere = 4/3 × π × (8)³

Volume of the sphere = 4/3 × π × 8 × 8 × 8

Volume of the sphere = 2048π/3

Volume of the sphere = 682.6π cubic units. [approx] (Ans)

__________________________________

3. Radius (r) of the sphere = 5 units. (Given)

• Surface area of the sphere = 4πr².

Surface area of the sphere = 4 × π × (5)²

Surface area of the sphere = 4 × π × 5 × 5

Surface area of the sphere = 100π units. (Ans)

And,

• Volume of the sphere = 4/3πr³.

Volume of the sphere = 4/3 × π × (5)³

Volume of the sphere = 4/3 × π × 5 × 5 × 5

Volume of the sphere = 500π/3

Volume of the sphere = 166.6π cubic units. [approx] (Ans)

__________________________________

4. Diameter of the sphere = 18 units. (Given)

Radius (r) of the sphere = 18/2 = 9 units.

• Surface area of the sphere = 4πr².

Surface area of the sphere = 4 × π × (9)²

Surface area of the sphere = 4 × π × 9 × 9

Surface area of the sphere = 324π units. (Ans)

And,

• Volume of the sphere = 4/3πr³.

Volume of the sphere = 4/3 × π × (9)³

Volume of the sphere = 4/3 × π × 9 × 9 × 9

Volume of the sphere = 2916π/3

Volume of the sphere = 972π cubic units. (Ans)

__________________________________

Spencer is riding his bicycle 2 7/10 miles to the park. He rides 1 1/4 miles and stops to take a drink. How much farther does Spencer have to ride to the park? Show your work.

Answers

Convert both mixed numbers to improper fractions since they do not have a similar denominator.

2 7/10 becomes 27/10
1 1/4 becomes 5/4

Now you need to find the least common denominator that 10 and 4 go into which is 20.

Multiply the top and bottom by the number it takes to make the denominator in each fraction 20

27/10 becomes 54/20 because you multiply the 10 and 27 by 2.

5/4 becomes 25/20 because you multiply the 4 and 5 by 5.

Now you can subtract the two fractions:

54/20 - 25/20 = 29/20

29/20 can be reduced to 1 9/10 which is how much farther he must go.

Find a such that the points A(1, 3), B(7, 8), and C(a, a) are collinear.

Answers

Answer:

a = 13

Step-by-step explanation:

a = 13

Find the volume of the figure to the nearest tenth.

Answers

Answer:

150.8

Step-by-step explanation:

[tex]v = \frac{4}{3} \pi \:{r}^{2} \\ v = \frac{4}{3} \pi \:{6}^{2} \\ v = 150.8[/tex]

Hopefully this'll help you out!

Of 220 seventh-grade students, 25% earn the Community Service Award. How many students earn the award?

Answers

Answer:

55 students

Step-by-step explanation:

all you do is 220*.25 and you get the answer

Find x in each triangle.

Answers

Answer:

9

Step-by-step explanation:

9 squared plus 40 squared= 41 squared

Dell's coffee shop sells cappuccinos, mochas, and lattes. The table gives the number of servings of each beverage sold in a day. Small Medium Large Cappuccino 70 55 62 Mocha 42 34 39 Latte 59 63 47 For a particular serving size, all three coffee drinks cost the same. A small serving costs $1.50, a medium serving costs $2.00, and a large serving costs $2.50. Which matrix gives the revenue generated from sales of each of the three beverages?

Answers

Answer:

[tex]C\left[\begin{array}{ccc}370\\228.5\\332\end{array}\right][/tex]

Answer:

C

Step-by-step explanation:

i have verified on the internet with other websites

Bill washes his mom's car once every 2 weeks and gets paid $20.00 each time. How much does he earn in 22 weeks?
$264.00
$240.00
$176.00
$220.00
Next
Reset

Answers

Answer:

Bill earns $220.00 in 22 weeks.

Step-by-step explanation:

If he is paid 20 dollars every 2 weeks for a car wash, we need to find out how many he gets for 22 weeks.

20 dollars = 2 weeks, to find 22, multiply both of the values by 11 to get to 22.

11(2 weeks = 20 dollars)

22 weeks = 220.

The amount of money earned in 22 weeks is $220.

Option D is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The amount for each car wash = $20

Number of car wash in two weeks = 1

Now,

Number of car washes in 22 weeks.

= 22 / 2

= 11

Now,

The amount earned in 11 car washes.

= 11 x 20

= $220

Thus,

Amount earned in 22 weeks is $220.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Salina's age is one-quarter the age of her aunt. If a represents her aunt's age, which expression represents Salina's
age?
4a
a-4
a+4
A over 4

Answers

Answer:

D. A over 4

Step-by-step explanation:

One quarter is equal to [tex]\frac{1}{4}[/tex]. If her aunt is age 'a', than Salina's age is a/4

Hope this helps.

D. A over 4. I hope this is the correct answer

Am I the only one that hates to see the “I can’t find the answers but here’s a link blah blah blah”

JUST GIVE ME THE ANSWER IM LOOKING FOR

Answers

Answer:

I know right! There so annoying!!

I agree because not all of us can access links and it's lazy

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