there are 60 people in a choir
half of the people in the choir are women
the number of women in the choir is 3 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

Answers

Answer 1

Answer:

The value of n is 2.

Step-by-step explanation:

The total number of people in the choir = 60

Number of  women in the choir = 30

Let the number of men in the choir be represented by x, so that;

Number of women = 3x

So that;

3x = 30

x = [tex]\frac{30}{3}[/tex]

 = 10

The number of men in the choir is 10.

the number of children in the choir: the number of men in the choir = n:1

number of children in the choir = 60 - (number of women + number of men)

                                                    = 60 - 40

                                                    = 20

number of children in the choir = 20

Thus,

the number of children in the choir: the number of men in the choir = 20:10

                                                            = 2:1

The value of n is 2.

Answer 2

Answer:

20 men in the choir and 40 children

Step-by-step explanation:


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(I is confusion)What fraction of an hour is 35 minutes?give your answer in simplest form

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Answer
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Identify the coordinates of four points on the line with each given points and y-intercept slope=5, y intercept= -1
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why

Step-by-step explanation:

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Answer:

C.

Step-by-step explanation:

12x+3 add them together

It’s B ! 7+4 is 11 not 12

Find the slope of this Linear Function.

Answers

Answer:

The slope is 2/3 and the y intercept is -1

Step-by-step explanation:

you find the y-intercept (where the line passes through the y-axis) which is -1 and you go straight up 2 spots and then you go over 3 spots. Slope is rise over run. You could also use the slope formula y2-y1/x2-x1. I hope this made sense.

Consider solving 푥2+12푥+5=0by completing the square. What number should be added to both sides of the equation? 푥2+12푥+_____=−5+_____a. -36b. 36c. 16d. -16

Answers

Answer:

B. 36

Step-by-step explanation:

The equation in question is not well written. Let the equation be;

x²+12x+5 = 0

In order to know what number should be added to both sides of the equation, we will take the square of the half of coefficient of x as shown;

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what eqwation of a parabola with a focus(6,-2) and a directrix x=-2

Answers

Answer:

The equation of the parabola

( y +2 )² = 16 (x-2)

Step-by-step explanation:

Step(i):-

Given the focus of the Parabola ( 6, -2 )

we know that the Focus of the Parabola

                ( h + a , k ) = ( 6 , -2 )

Comparing

              h + a = 6 ...(i)

          and  k = -2

Given directrix of the parabola

           x = -2

The  directrix of the parabola  x = h - a = -2

        h - a = -2 ...(ii)

Adding (i) and (ii) equations , we get

    h + a + h-a = 6 -2

                2 h = 4

           ⇒    h  = 2

Substitute 'h' = 2 in equation (i) , we get

          h + a = 6

          2 + a = 6

                a = 6 -2 =4

Step(ii):-

The equation of the parabola having Vertex ( h,k) = (2 , -2) and a = 4

[tex](y-k)^{2} = 4a ( x-h)[/tex]

( y - (-2))² = 4 (4) ( x -2)

Final answer:-

The equation of the parabola

[tex](y-(-2))^{2} = 4(4) ( x-2)[/tex]

( y +2 )² = 16 (x-2)

i don't understand. May you help?​

Answers

Answer:

Step-by-step explanation:

Function rule:

y = 10(0.95)ˣ

If a function is given as,

y = a(b)ˣ

a represents 'Initial value'

b represents the growth factor

If 0 < b < 1, function is a decay function.

If b > 1, function is a growth function.

For 2 = 10(0.95)ˣ,

Here, b = 0.95 which is in the interval of 0 < 0.95 < 1

So it's a decay function.

[tex]\frac{2}{10}=(0.95)^x[/tex]

log(0.2) = log[(0.95)ˣ]

log(0.2) = x[log(0.95)]

-0.6989 = -x(0.0223)

x = 31.44

x ≈ 31

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0.8 = (0.95)ˣ

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Means, at x = 4.4, value of the function was 8.

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Answers

Answer:

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Step-by-step explanation:

Where f(0) is or x=0, y= 4

Answer:

4

Step-by-step explanation:

( d ). 4. is correct

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452.88 is 74% of what number? (Please show work)

Answers

Answer:

612

Step-by-step explanation:

To find this answer, you can invert the equation:

452.88 = 0.74x

x = 452.88 / 0.74

x = 612

The number 452.88 is 74% percentage of the number 612.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

We have to find the number of 452.88 is 74%

Let x be the number

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74x/100 = 452.88

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Hence, 452.88 is 74% of the number 612.

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Answers

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134

Step-by-step explanation:

You must add the angles together:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

it is -2a+8 your welcome

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Answers

The equation of the line is D

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Step-by-step explanation:

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Answers

Answer:

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What school subject is a witch good at?

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Answer:

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Answers

Answer:

74 degrees 79 degrees

Step-by-step explanation:

or 6

Answer:

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Step-by-step explanation:

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Sal earns $12 per hour. His job offers him a raise, a 5% increase per hour.
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Answers

Answer:

12.60.

Step-by-step explanation:

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Answers

Answer:

n=−2.5

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Step-by-step explanation:

Step 1: Flip the equation.

2n=0.176777

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2n=0.176777

log(2n)=log(0.176777)(Take log of both sides)

n*(log(2))=log(0.176777)

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Please show workings .

Answers

Answer:

4x-1

Step-by-step explanation:

The working is shown in the above photo

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

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Joanna must make 2 dozen cookies for every 8 students in a sixth-grade class.
How many dozen cookies must she make if the class has 32 students?(Need answer ASAP)
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Answers

Answer:B. 8 dozen

Step-by-step explanation:

Answer:

B 8 Dozen

Step-by-step explanation:

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Answers

9514 1404 393

Answer:

b = 7c = 5

Step-by-step explanation:

Opposite sides of a parallelogram have the same length, so ...

  5b +5c = 60

  5b +4c = 55

Subtracting the second equation from the first, we get ...

  c = 5

Substituting that into the first equation, we have ...

  5b +5·5 = 60

  5b = 35 . . . . . . . subtract 25

  b = 7 . . . . . . . . . . divide by 5

The values b = 7 and c = 5 will make this a parallelogram.

Express the following numbers as a ratio between an integer and a natural number.

a. 1 2/5, .3, −3 1/4, −27, 0
b. 36, −45, 4.2, −.8, 15 1/6, −2/9

Answers

Answer:

Step-by-step explanation:

a) 7/5, 3/10, -13/4,-27/1,0

b)36/1,-45/1,21/5, -4/5, 91/6,-2/9

Jake is y years old. His grandma is 6 times his age. His cousin is 5 years older than him. a. Write an expression for each of their ages.

Answers

Answer:

y+5=c

6y=g

Step-by-step explanation:

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Write the equation of the parabola with a focus at (-3, -5) and a directrix at y = -7.

Answers

Answer:

The directrix is negative so the equation will be

x^2=4ay

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y=-5

a=x^2/4y

a=(-3)^2 /4*(-5)

a=9/20

x^2=4*(9/20)*y

x^2=9/5y

Step-by-step explanation:

The directrix always determine the equation to use. It is also important to notice the sign(-+).

Question shown in the photo​

Answers

I’m sorry I couldn’t answer, but what is the 15th step? Next time can you be more clear?

Megan bought a bicycle that cost $200.50 at a sporting good store. The sales tax
on the bicycle was 8%. How much did the bicycle cost with tax included?

Answers

Answer:

I believe it should be 216.54

Step-by-step explanation:

Multiply $200.5 by .08 (the tax) and then add the answer from the multiplication to the $200.5.

A percentage is a way to describe a part of a whole. The cost of a bicycle with tax included is $216.54.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given Megan bought a bicycle that cost $200.50 at a sporting goods store. The sales tax on the bicycle was 8%. Therefore, the total cost will be,

Total cost = $200.50 + 8%

                = $200.50 + (0.08 × $200.50)

                = $216.54

Hence, the cost of a bicycle with tax included is $216.54.

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The cost of a concert ticket last week was $75. This week the concert ticket is $84. What is the percent increase of the ticket from last week to this week

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Answer:

The percent increase is 12%

Step-by-step explanation:

Hope this helps

Answer:

12%

Step-by-step explanation:

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