To choose the 8 songs, the director writes the name of each of the 12 songs on a slip of paper, puts them in a hat, and draws 8 slips. What is the probability that the set s/he chooses contains two of the four songs that have soprano solos?

Answer:

y = 1/2x + 1

Step-by-step explanation:

To be perpendicular to a line is to have the product of the slopes be -1. First, we have to put 2x + y = 4 into slope-intercept form to find the slope of the line. We do this by subtracting 2x on both sides to get that y = -2x + 4. Now, the number that multiplied by -2 is equal to -1 is 1/2, so that is the slope of our line. We can substitute these values into the slope-point equation to find the equation. We would get that y - 1 = 1/2 * (x - 0). This simplifies to y = 1/2x + 1.

Answer:

Let Ishaan's age be x. Then, Christopher's age is x-20. These are their current ages.

14 years ago,

x-14 = 3(x-20-14) (we need to subtract 14 from both of their ages')

x - 14 = 3(x - 34)

x - 14 = 3x - 102

2x = 88

x = 44

Ishaan is 44 years old now.

Answer:

Christopher is 44 and ishaan is 24

Step-by-step explanation:

So im guessing this question is asking how old they are now

if christopher is 20 years older he will always be 20 years older

so we need to find how old he was 14 years ago

he was 1/3rd the age meaning that 20 is 2/3s so that means that ishaan was 10 years old

then add 14 years and he is 24

Answer:

The cost to rent each chair is $1.25 and the cost to rent each table is $8.50

Step by step:

A party rental company has chairs and tables for rent. The total cost to rent

A party rental company has chairs and tables for rent. The total cost to rent 4

chairs and 8

tables is $73

. The total cost to rent 2

chairs and 3

tables is $28

. What is the cost to rent each chair and each table?

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Edward C. answered • 02/10/15

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Caltech Grad for math tutoring: Algebra through Calculus

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Let C = cost to rent each chair

Let T = cost to rent each table

4C + 8T = 73

2C + 3T = 28

Multiply the 2nd equation by (-2) and then add the equations together

4C + 8T = 73

-4C - 6T = -56

2T = 17

T = 17/2 = 8.5

Plug this in to the 1st equation to solve for C

4C + 8(17/2) = 73

4C + 68 = 73

4C = 5

C = 5/4 = 1.25

So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50

The cost to rent each chair and each table are $1 and $8.5 respectively.

Suppose the price of one chair =x

The price of one table =y

Any equation of the form ax+by+c=0 is called a linear equation where a, b, c∈ R.

According to the question, the total cost to rent 5 chairs and 2 tables is $22.

5x+2y=22

Multiplying it by 4 on both sides

20x+8y=88.......(1)

The total cost to rent 3 chairs and 8 tables is $71.

3x+8y=71.........(2)

Subtracting (2) from (1)

17x=17

x=1

So, y=8.5

So, the price of 1 chair =$1

the price of 1 table =$8.5

Hence, the cost to rent each chair and each table are $1 and $8.5 respectively.

To get more about linear equations visit:

https://brainly.com/question/14323743

Answer:

I believe the Constant is 4, because the constant is supposed to be a stand alone number.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

a constant is a number that doesn't change

Answer:

let me think

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because 7(7)=(-7)(-7)=49 the square roots of 49 are 7 and -7

Answer:

answer is 15/6 or 2 and 1/2 cups

Answer:

what

Step-by-step explanation:

Answer:

1) The  series of equations that can be used to find the numbers are

7·x + 3·y = 54...(1)

x = y + 2...(2)

2) The first number is 6

The second number is 4

Step-by-step explanation:

1) The given parameters for the numbers are;

7 times the first number + 3 times the 2nd number = 54

The first number = The 2nd number + 2

Let 'x' represent the first number and let 'y' represent the second number

The following series of equations can therefore be used in finding the numbers;

7·x + 3·y = 54...(1)

x = y + 2...(2)

2) By substituting the value of x = y + 2 from equation (2) into equation (1) gives;

7·x + 3·y = 54

∴ 7×(y + 2) + 3·y = 54

7·y + 14 + 3·y = 54

10·y + 14 = 54

10·y = 54 - 14 = 40

y = 40/10 = 4

The second number = y = 4

The first number, x = y + 2 = 4 + 2 = 6

The first number, x = 6.

Answer:

Not sure if I am right but this is what I did. I have attached a picture of me solving the equation. Hope this helps, thank you !!

Answer:

56.70 grams

Step-by-step explanation:

Multiply: 28.35*2=56.70

(Picture included)

Sorry about my handwriting!

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

Answer:

It would be [tex]4^{8}[/tex]

Step-by-step explanation:

[tex](4^{2})^{4}[/tex] is equivalent to [tex]4^{2*4}[/tex] or [tex]4^{8}[/tex].

Answer:

Step-by-step explanation:

2(2x +4) - 2x = x + 18

4x +8 -2x = x +18

2x -x = 18-8

X = 10

Put the value of x in both side

Left side *+*+*+*+*+

2 ( 2*10+4)-2*10

48-20 = 28

Right side +*+*+*+*+*

X + 18

10+ 18 = 28

Mark it as Brainlist. Follow me for more answer

Answer:

yes

Step-by-step explanation:

I'm ready to help anyone in maths

Answer:

22.36

Step-by-step explanation:

22.36 X 22.36 =(Approx) 500 feet2

Answer:

yes but no

Step-by-step explanation:

one is bigger than the other by prolly 1 foot

Answer:

1 is bigger by abt a foot or so

Step-by-step explanation:

Answer:

About -1.7142

Step-by-step explanation:

-

Answer:

m<NOQ = 139°

Step-by-step explanation:

Since lines KM and NP are parallel, alternate exterior angles KLJ and QOP are congruent.

m<QOP = m<KLJ = 41°

Angles NOQ and QOP are a linear pair and are supplementary, so the sum of their measures is 180°.

m<NOQ + m<QOP = 180°

m<NOQ + 41° = 180°

m<NOQ = 139°

Answer:

volume is πr^h

Step-by-step explanation:

3.14*5*5*0.25 is 1962.5cm^2

in m^2 it would be 19.625

Answer:

A' and B' will be parallel. (See Explanation)

Step-by-step explanation:

Given

Parallel lines: A and B

Rotation: 90° same direction

Translation: Right (same units)

Required

Describe the result of the transformation

No options were given. So, I will answer on general terms.

From the question, we can see that, the same transformation that was performed on line A was also done on line B.

This means that both lines will maintain the initial relationship between them.

Initially, A and B are parallel.

After the transformation, A' and B' will be parallel.

Answer:They will be the same line

Step-by-step explanation:I did this on my test it’s correct

Answer:

a) 96

Step-by-step explanation:

2 + 2 = 4

4 * 24 = 96

Answer:

[tex]6\pi[/tex] or [tex]18.84[/tex] units

Step-by-step explanation:

The circumference of a circle can be found using the formula [tex]C=2\pi r[/tex], where [tex]C[/tex] is the circle's circumference and [tex]r[/tex] is the circle's radius. We know that [tex]r=3[/tex] and that we are solving for [tex]C[/tex]. Therefore:

[tex]C=2\pi r\\C=2*\pi *3\\C=6\pi[/tex]

Since [tex]\pi[/tex] is approximately [tex]3.14[/tex], [tex]6\pi =6*3.14=18.84[/tex] units. Hope this helps!

Answer:

B

Step-by-step explanation:

1^2+8^2=[tex]\sqrt 65\\[/tex]

Answer:

(1,3)

Step-by-step explanation:

:)

Answer:

[tex]r = 5[/tex] --- Radius

[tex]h = 3.9[/tex] --- Height

Step-by-step explanation:

Given

Shape: Cone

[tex]Volume = 97in^3[/tex]

Required

Determine different possible values of radius and height

The volume (V) of a cone is calculated as:

[tex]V = \frac{1}{3}\pi r^2h[/tex]

Substitute 97 for V

[tex]97 = \frac{1}{3}\pi r^2h[/tex]

Multiply both sides by 3

[tex]3 * 97 = \frac{1}{3}\pi r^2h*3[/tex]

[tex]291 = \pi r^2h[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]291 = 3.14* r^2h[/tex]

Divide both sides by 3.14

[tex]\frac{291}{3.14} = \frac{3.14* r^2h}{3.14}[/tex]

[tex]\frac{291}{3.14} = r^2h[/tex]

[tex]92.68 = r^2h[/tex]

From the question, we understand that:

[tex]r \ne h[/tex]

So, we have to assume a value for either r or h and then solve for the other variable.

Let [tex]r = 5[/tex]

So, We have:

[tex]96.28 = 5^2 * h[/tex]

[tex]96.28 = 25 * h[/tex]

Make h the subject

[tex]h = \frac{96.28}{25}[/tex]

[tex]h = 3.8512[/tex]

[tex]h = 3.9[/tex] --- approximated

Note that there are other different possible values of h that is true for

[tex]92.68 = r^2h[/tex] where [tex]r \ne h[/tex]

Step-by-step explanation:

12:18

12 to 18

12/18 = 2/3

Answer:

Commutative Property