The number of 8th graders in choir is three times the number of the 7th graders. if there are 48 8th graders choir how.many 7th graders are in choir

Answers

Answer 1
Answer: divide 48 by 3, for every three 8th graders, there is one 7th grader in choir
48÷3=16
There's 16 7th graders in choir !!

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Using the transformation T: (x, y) (x + 2, y + 1), find the distance named. Find the distance BB'

Answers

Answer:

√(5)\ units


Step-by-step explanation:

we know that

The rule of the translation is equal to

(x,y)-----> (x+2,y+1)

That means

The translations is 2 units to the right and 1 unit up

Let

(x,y)-------> the coordinates of point B

(x+2,y+1)------> the coordinates of point B'

Find the distance

the formula to calculate the distance between two points is equal to


d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}


substitute

d=\sqrt{((y+1)-y)^(2)+((x+2)-x)^(2)}


d=\sqrt{(1)^(2)+(2)^(2)}


d=√(5)\ units


The transformation is:
T : ( x , y ) → ( x + 2, y + 1 )
B ( 1, 3 ) → B` ( 1 + 2, 3 + 1 )
B ` ( 3, 4 )
d ( B B`) = √(( 3 - 1 )² + ( 4 - 3 )² )=
=  √ (2² + 1²) = √ 5

Olga buys tickets to a concert. She pays $27.75 for each ticket, plus handling fee of $5.50 for The order. The total cost is $144.25. Right and solve an equation to find out how many tickets,n,Olga bought

Answers

Answer: the number of tickets that Olga bought is 5

Step-by-step explanation:

Let x represent the number of tickets that Olga bought.

Olga buys tickets to a concert. She pays $27.75 for each ticket, plus handling fee of $5.50 for The order. This means that the total amount that Olga paid for x tickets would be

27.75x + 5.5

If the total cost is $144.25, the equation representing the situation would be expressed as

27.75x + 5.5 = 144.25

27.75x = 144.25 - 5.5

27.75x = 138.75

x = 138.75/27.75

x = 5

If 5,x,y,40 are in geometrical progression, find x and y respectively.

Answers

Answer:

x = 10, y = 20

Step-by-step explanation:

Because this is a geometric sequence, we'll call the rate of change z. Because 40 is 3 terms away from 5, we can write 5 * z * z * z = 5z³ = 40.

z³ = 8 → z = 2

Now, we simply multiply 5 by 2 to get x, which is 10, and then we multiply x by 2 to get 10 * 2 = 20 for y. Hope this helps!

Final answer:

To find the values of x and y in the given geometric progression, we use the concept of a common ratio. By setting up equations based on the definition of a geometric progression, we can solve for x and y. In this case, x is 10 and y is 20.

Explanation:

To find the values of x and y in the given geometric progression, we need to identify the common ratio between the terms. In a geometric progression, each term is obtained by multiplying the previous term by the common ratio. Therefore, we have:




  1.  
  2. 5 * r = x

  3.  
  4. x * r = y

  5.  
  6. y * r = 40



From the first equation, we can substitute x as 5 * r in the second equation:



5 * r * r = y



Then, we substitute y as 5 * r * r in the third equation:



5 * r * r * r = 40



Simplifying the equation, we get:



r^3 = 40/5 = 8



Taking the cube root of both sides:



r = 2



Substituting this value of r back into the equations, we find that x = 10 and y = 20.

Learn more about Geometric progression here:

brainly.com/question/4853032

#SPJ11

Roots of a quadratic equation 3x²-x+9=0 are p and q. Value from p/q + q/p = ....?

Answers

Hello,

3x²-x+9=0
==>x²-x/3+3=0
p+q=1/3
pq=3
p/q+q/p=[(p+q)²-2pq]/(pq)=[(1/3)²-2*3]/3=[1/9-6]/3=-53/27


3x²- x + 9 = 0
also x² - (1/3)x + 3 = 0

p,q are roots so
(x - p)(x - q) = x² - (1/3)x + 3 = 0
x² - (p+q)x + pq = x² - (1/3)x + 3 = 0

compare coefficients we have
p+q = 1/3 ... (1)
pq = 3 ... (2)
(1)/(2) ... (p+q)/pq = (1/3)/3
p/q + q/p = 1/9

An empty box is shaped like a rectangular prism. The box has a base area of 9/10 square foot and a height of 1/3 foot. How much packing material is required to fill the box?a. 3/10 ft^3
b. 1/10 ft^3
c. 1/3 ft^3
d. 2/3 ft^3

Answers

The total amount of packing material required to fill the box is 3/10 cubic feet and this can be determined by using the formula of the volume.

Given :

  • An empty box is shaped like a rectangular prism.
  • The box has a base area of 9/10 square feet and a height of 1/3 feet.

The following steps can be used in order to determine the total amount of packing material required to fill the box:

Step 1 - The formula of the volume can be used in order to determine the total amount of packing material required to fill the box.

Step 2 - The formula of the volume of the box is given below:

V  = A * H

where A is the area of the box and H is the height of the box.

Step 3 - Now, substitute the values of A and H in the above expression.

V  = (9)/(10) * (1)/(3)

V = (3)/(10)\;{\rm ft^3}

Therefore, the correct option is a).

For more information, refer to the link given below:

brainly.com/question/25834626

Since we already know the base area, we simply have to multiply it by the height to get the volume of the box (how much packing material it can contain)

9/10 x 1/3 

9     x     1   =  3
10          3       10       (I cancelled the 9 and 3 and made them 3 and 1                                                          respectively)
The answer is 3/10 ft³

6t^3 * 6t^3

A. 12t^3
B. 12t^6
C. 36t^6
D. 36t^9

Answers

6t^3 * 6t^3
6 * 6 * t^3+3
36t^6

So, the answer is C.

6t³ * 6t³

= 6 * t³ * 6 * t³

Combine like terms

6 * 6 * t³ * t³

36 * t^6

= 36t^6


The answer is C


Good night