There are 40 people in a choir.
Half of the people in the choir are women.
The number of women in the choir is 5 times the number of
men in the choir.
The rest of the people in the choir are children.
the number of
children in the
choir
:
the number of
men in the choir
n : 1
Work out the value of n.
You must show how you get your answer.
n =

Answers

Answer 1

9514 1404 393

Answer:

  n = 4

Step-by-step explanation:

Of the 40 people, half are women, so there are 20 women.

There are 5 times as many women as men, so 20/5 = 4 are men.

The remainder are children, so there are 20-4 = 16 children.

The ratio of children to men is ...

  children : men = 16 : 4 = 4 : 1 = n : 1 . . . . . . . . remove a factor of 4 from 16:4

The value of n is 4.


Related Questions

One box holds six eggs. If the farmer has 594 eggs, how many boxes of eggs does he have ​

Answers

Divide total eggs by number of eggs per box:

594 / 6 = 99

They has 99 boxes of eggs.

Answer:

594÷6=99

Step-by-step explanation:

YOU DIVIDE THE SUM OF EGGS AND THE NUMBER OF BOX HOLDING

in what category does sugar, brown sugar, butter, eggs, vanilla, flour , unsweetened coca power , baking soda , salt & chocolate chips ? help please i’ll give extra points

Answers

Eggs goes in dairy and everything else goes in other

In a baseball card collection, 40% of the cards are worth more than $100. If 12 cards in the collection are worth more than $100, how many total baseball cards are in the collection?

Answers

Answer:

30

Step-by-step explanation:

Total number of cards = number of cards worth more than 100  divided by the rate of those cards among total cards = 12/40% = 30

Marc and Anthony are pulling weeds. The can pull 25 weeds every three minutes. How many weeds can they pull in 15 minutes?

Answers

Answer:

125 weeds in 15 mins

Step-by-step explanation:

125 is your answer ...

A quality control engineer Is interested in the mean length of sheet insulation being cut automatically by machine. It is known that the standard deviation in the cutting length that this machine produces is 0.15 feet. A sample of 70 cut sheets yields a mean length of 12.14 feet. This sample will be used to obtain a confidence interval for the mean length cut by machine. Referring to problem statement, the Z value to use in obtaining the 99% confidence interval is approximately .A.1.645B. 1.96C.3.23D.2.58

Answers

Answer:

D.2.58

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.58.

The answer is given by option D.

Plz help if correct ill give brailiest

Answers

it is probably B x has to be more than 7 but can be equal 7 at the same time.

Answer:B

Step-by-step explanation:the answers B because the closed circle is greater that or equal too, and because the inequality is greater than the arrow points to the left. B, the dot is on 7 which if we add that to 18 is 25 which is the greatest number that can work for this inequality making this answer correct.

Hope this helps you understand it!

Please answer quick just super small explanation pls hurry quick for brainlessly

Answers

Answer:

A = 81

Step-by-step explanation:

When there is a number above the other. You will need to multiply it.

There is   a 4 so its 4 times.

-3 x -3 = 9

9 x -3 = -27

-27 x -3 = 81

------

When you multiply a negative number by a negative number it will be a positive.

If you multiply a positive number by a negative it will be negative.

SOLVE FOR X!!
(will mark brainliest)

Answers

Answer:

19

Step-by-step explanation:

Since it is a 90° angle we can say that 3x-15+2x+10 = 90.

3x-15+2x+10 = 90

5x-5=90

5x=95

x=19

By solving this we find that x is equal to 19.

Answer:

19

Step-by-step explanation:

3*19 = 57

57 - 15 = 42

2*19 = 38

38 + 10 = 48

48 + 42 = 90

(As this is a 90 degree angle)

Two functions are shown below.
f(x) = 2x
g(x) = x2 + 3x - 3
For what values of x is f(x) > g(x)?

Answers

Answer:

q

hey g(x) = x2 + 3x - 3

Step-by-step explanation:

es la respuesta

The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds people. By selling​ tickets, the members would like to raise ​$ every night to cover all expenses. Let d represent the number of adult tickets sold at ​$. Let s represent the number of student tickets sold at ​$ each. If all seats are filled for a​ performance, how many of each type of ticket must have been sold for the members to raise exactly ​$​? At one performance there were times as many student tickets sold as adult tickets. If there were tickets sold at that​ performance, how much below the goal of ​$ did ticket sales​ fall?

Answers

Answer:

a) At $3,300 for 600 seats, the average price per seat is 3300/600 = $5.50. The mix of tickets that results in that average can be found using an X diagram as shown below. The numbers on the right are the differences along the diagonals. When they are multiplied by 2, they add to 600. This shows that the required sales for revenue of $3,300 are

 200 adult tickets

 400 student tickets

b) When 3 student tickets are sold for each adult ticket, the average seat price is

 (3*$4.50 +7.50)/4 = $5.25

Then the shortfall in revenue is ...

 $3,300 -480*$5.25 = $780

15x5>75 truth or false

Answers

Answer:

False

Step-by-step explanation:

If two angles are vertical, the sum of their measures is equal to the measure of a right angle true or false?

Answers

Step-by-step explanation:

False,

Vertical angles isn't always complementary l

Answer:

true

Step-by-step explanation:

If two angles are congruent, their measures are equal.

Choose the answer express it into percentage:

-1/4÷100%=?
(a). 50%
(b). 25%
(c). 5%​

Answers

ur answer is b duhhhhhhhh

Graph two lines whose solution is (3,5).
Line
Equation
#1
I
|
#2
Check My Answer
8
Graph two lines whose solution is (1,4)

Answers

Answer:

la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.02 significance level.
GPA-Night GPA-Day 3.15 3.47 3.68 3.49 3.34 3.07 3.07 3.31 3.31 3.28 3.2 3.05 3.07 3.12 2.8 3.5 3.04 3.04 3.13 3.19 3.54 3.26 3.24 3.31 3.02 3.45 3.44 2.9 2.79 2.76 3.18 2.69 2.99 3.46 3.28 3.09 3.16 2.72 3.08 3.14 2.47 3.08 3.03 2.99 3.02 3.11 2.58 2.84 3.36 2.99 3.04 2.99
(1) The null and alternative hypothesis would be:
a.H0:μN≥μD
H1:μN>μD.
b.H0:μN=μD
H1:μN≠μD.
c.H0:pN≥pD
H1:pN d.H0:pN=pD
H1:pN≠pD.
e.H0:μN≤μD
H1:μN<μD
f.H0:pN≤pD
H1:pN>pD.
(2) The test is:_______.
a. right-tailed.
b. two-tailed.
c. left-tailed.
(3) The sample consisted of 70 night students, with a sample mean GPA of 2.12 and a standard deviation of 0.08, and 70 day students, with a sample mean GPA of 2.08 and a standard deviation of 0.02

Answers

Answer:

Step-by-step explanation:

Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.02 significance level.

GPA-Night GPA-Day 3.15 3.47 3.68 3.49 3.34 3.07 3.07 3.31 3.31 3.28 3.2 3.05 3.07 3.12 2.8 3.5 3.04 3.04 3.13 3.19 3.54 3.26 3.24 3.31 3.02 3.45 3.44 2.9 2.79 2.76 3.18 2.69 2.99 3.46 3.28 3.09 3.16 2.72 3.08 3.14 2.47 3.08 3.03 2.99 3.02 3.11 2.58 2.84 3.36 2.99 3.04 2.99

(1) The null and alternative hypothesis would be:

a.H0:μN≥μD

H1:μN>μD.

b.H0:μN=μD

H1:μN≠μD.

c.H0:pN≥pD

H1:pN d.H0:pN=pD

H1:pN≠pD.

e.H0:μN≤μD

H1:μN<μD

f.H0:pN≤pD

H1:pN>pD.

(2) The test is:_______.

a. right-tailed.

b. two-tailed.

c. left-tailed.

(3) The sample consisted of 70 night students, with a sample mean GPA of 2.12 and a standard deviation of 0.08, and 70 day students, with a sample mean GPA of 2.08 and a standard deviation of 0.02

7+3 expressed as a difference

Answers

Answer:

7 - (-3)

Step-by-step explanation:

7 + 3 = 7 - (-3).

Find the value of x in each diagram.

Answers

Answer:

4. 25 5. 80 6. 30

Step-by-step explanation:

All triangles add up to 180.

The triangle in #4 is right, so 90° + 65° = 155°

180° - 155° = 25°

x=25

#5.

50° + 50° = 100°

180° - 100° = 80°

x=80

In #4 the triangle is an equilateral, so all the angles will be equal. 2x + 2x + 2x = 180

6x = 180

x = 30

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°

Two of the angle measures are given in each triangle so to find the third angle measurement we need to subtract the sum of two of the interior angles

4.

180 - (65 + 90) = x

180 - 155 = x

25 = x

5.

180 - (50+5) = x

180 - 100 = x

80 = x

For the 6th question all side lengths are equal so the angle measures also equal and 60 each

2x = 60

x = 30

major arc BRA is 3/2 the length of minor arc BSA. the length of major arc BRA is 6pi centimeters. what is the radius of the circle?

Answers

9514 1404 393

Answer:

  5 cm

Step-by-step explanation:

The given arcs have the ratio ...

  BRA : BSA = (3/2) : 1 = 3 : 2

Then BRA is 3/(3+2) = 0.6 of the total circumference of the circle.

  0.6(2πr) = 6π . . . . . BRA is 6π long

  r = 6π/(1.2π) . . . . . . divide by the coefficient of r

  r = 5 . . . . centimeters

The time spent watching a movie. Discrete or Continuous?

Answers

Answer:

The durations of movies in minutes can only take on integer values from 0 to 60. Therefore, it is a discrete data.

The time spent watching a movie is an example of Continuous function.

What is the difference between Discrete and Continuous?

We gather information to look for connections, patterns, and other ideas. For instance, if you keep track of how many push-ups you perform every day for a month, your overarching objective is to assess your development and rate of advancement. For example heart beat rate, signal, etc.

Numerical information that is continuously referred to the undefined variety of measurements that might be taken across two realistic sites. For example - time, wind, temperature, pressure, etc.

Despite the fact that these numbers are often gathered via accurate measurements, they are also not necessarily neat and orderly as those in categorical data.

The time spent watching a movie is an example of Continuous function.

More about the Discrete and Continuous link is given below.

https://brainly.com/question/12968192

#SPJ2

6. What is the volume of the rectangular prism below?
1 point
9.3 cm
4 cm
4 cm
Your answer

Answers

Answer:

Step-by-step explanation:

I dont know it can you help me

Potatoes cost 1.20 euros per kilogram work out the cost of 5 kilograms of potatoes

Answers

Answer:

Step-by-step explanation:

cost for 1 kg potatoes = 1.20 euros

Cost of 5 kilograms of potatoes

= 5 * 1.20 euros

= 6 euro

Hope it helps :)

giving brainliest !!!

Answers

Answer:

156.6 meters squared

Step-by-step explanation:

There are 3 triangles for the sides. The area for a triangle is one half base times height. So we are doing one half of 9 times 9. This is 40.5. Since there are 3 of them we can just multiply 40.5 times 3 to get 121.5. And now to solve for the base triangle, it is one half of 9 times 7.8. We get 35.1. Now add together 121.5 and 35.1. We get 156.6. Now since this is surface area it is meters squared.

Find the following
(u•w)(2)=
(w•u)(2)=

Answers

Answer:

[tex](u \circ w)(2) = -34[/tex]

[tex](w \circ u) = -49[/tex]

Step-by-step explanation:

We are given these following functions:

[tex]u(x) = 4x + 2[/tex]

[tex]w(x) = -5x + 1[/tex]

The first step to solve this question is finding the composite functions. So

[tex](u \circ w)(x) = u(w(x)) = u(-5x+1) = 4(-5x + 1) + 2 = -20x + 6[/tex]

[tex](w \circ u)(x) = w(u(x)) = w(4x + 2) = -5(4x+2) + 1 = -20x - 9[/tex]

At x = 2

Now we replace x by 2 in each of the functions. So

[tex](u \circ w)(2) = -20(2) + 6 = -40 + 6 = -34[/tex]

[tex](w \circ u)(2) = -20(2) - 9 = -40 - 9 = -49[/tex]

Another submarine's descent can be represented as y=-240x, where y is the elevation and x is the time in hours. How long did it take the submarine to descend to the seafloor 2,100 feet below the surface?

Answers

Answer:

8 hours and 45 minutes

Step-by-step explanation:

-2100 divided by -240 = 8.75 or 8 hours and 45 minutes

Jessica went to dinner and her bill was $15.60. If she wants to leave a 15% tip, how much is the tip? How much did she spend total after the tip?

Answers

Answer:

A) $2.34

B) $17.94

Step-by-step explanation:

First in order to find the tip you need to set up a proportion:

15/100 = x/15.6

Step 1: Cross-multiply.

15/100 = x/15.6

(15)*(15.6) = x*(100)

234 = 100x

Step 2: Flip the equation.

100x=234

Step 3: Divide both sides by 100.

100x/100 = 234/100

x = 117/50 (2.34)

The tip is $2.34

Now to find the total, add the tip to the bill.

15.6+2.34

= 17.94

The total bill was $17.94

HOPE THIS HELPS!!!! <3333

-Silver

Please help I need a quick answer

Answers

Answer:

the first one

Step-by-step explanation:

have a great day :D

Solve for w. 7(-2w + 3) = 1 - 4w
what is the value of w? ​

Answers

Answer:

w=2

Step-by-step explanation:

-14w + 21 = 1 - 4w

-10w + 21 = 1

-10w = -20

w = -20/-10

w=2

Answer:

20 - 10 W = 0

-7 (2w - 3) = 1 - 4w

21 - 14w = 1 - 4 w

w = 2

HOPE THIS HELPS <3 :) HAVE A NICE DAY

Find x. Round your answer to the nearest tenth of a degree.
9
6
X

Answers

not enough information, assuming you pasted it badly. try including a screenshot instead
I may guesss and say the answer is the third one

SOLVE FOR X TO THE NEAREST TENTH

Answers

Answer:

x = 8.8

Step-by-step explanation:

First, you have to solve the side length for the smaller triangle.

[tex]c= \sqrt{ a^{2} +b^{2} }\\c= \sqrt{5^{2}+4^{2} } \\\\c=\sqrt{25+16} \\c=\sqrt{41} \\c= 6.4\\[/tex]

Now for the bigger square.

[tex]c= \sqrt{ a^{2} +b^{2} \\} \\c = \sqrt{6.4^{2} +6^{2} } \\c= \sqrt{40.96+36} \\c= \sqrt{ 76.96}\\c= 8.77\\[/tex]

Rounded to the nearest tenth = 8.8

https://g.co/kgs/dg245M

I use this for my pythagorean theorem questions

For every 9 pages I read I took 1.5 pages of notes, if I read 28 pages, how many pages of notes will I have taken?

Answers

Answer:

168 pages of notes

Step-by-step explanation:

9 divided by 1.5= 6

so 28x6= 168

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