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stiv31 [10]
2 years ago
8

The ratio of sixth-grade students to fifth-grade students in the Kirkpatrick Elementary school band is 5:4. If there are 20 fift

h-grade students in the band how many sixth-grade students are in the band?
Mathematics
1 answer:
lianna [129]2 years ago
5 0

Answer: 25 sixth graders

Step-by-step explanation:

Sixth-graders are in a ratio with fifth graders in the band at 5:4 and there are 20 fifth-grade students in the band.

To find the number of 6th graders, use direct proportion and assume the sixth grader number is x:

5                   :            4

x                    :            20

4x = 100

x = 100 / 4

x = 25 sixth graders

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Find the transition matrix from B to B'. B = {(-1,2), (3, 4)), B' = {(1, 0), (0, 1)} STEP 1: Begin by forming the following matr
8_murik_8 [283]

Answer:  The required matrix is

T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .

Step-by-step explanation:  We are given to find the transition matrix from the bases B to B' as given below :

B = {(-1,2), (3, 4)) and B' = {(1, 0), (0, 1)}.

Let us consider two real numbers a, b such that

(-1,2)=a(1,0)+b(0,1)\\\\\Rightarrow (-1,2)=(a,b)\\\\\Rightarrow a=-1,b=2.

Again, let us consider reals c and d such that

(3,4)=c(1,0)+d(0,1)\\\\\Rightarrow (3,4)=(c,d)\\\\\Rightarrow c=3,d=4.

Therefore, the transition matrix is given by

T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .

Thus, the required matrix is

T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .

7 0
2 years ago
The playground of a school has areas fixed for various activities. One-fifth of the playground is used for students to sit and r
sertanlavr [38]

Answer:

2/3* 4/5 = 8/15

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached file below.

Given:

  • One-fifth (1/5)  of the playground is used for students to sit and read
  • 2/3 is used for playing soccer
  • The rest of the playground is used for playing basketball

So assume that the the playground is divided into 5 equal part

=> 1 part is used for students to sit and read or (1/5)

=>  the remaining equal part is 4  or (4/5)

Because 2/3 of the remaining part is used for playing soccer

=> the equation represents the part of the playground used for soccer is:

2/3 of 4/5

= 2/3* 4/5

= 8/15

8 0
3 years ago
A-2>4 I NEED HELP ON THIS FAST
den301095 [7]

Answer:

robux

Step-by-step explanation:

1p robux ca rjs djsj

7 0
2 years ago
The table shows the number of diagonals that can be drawn from one vertex in polygon. Write an equation in function notation for
Reil [10]

Answer:

y = x - 3; 9 diagonals

Step-by-step explanation:

Find the equation: y = x - 3

Plug in 12: y = 12 -3

Solve: y = 9

9 diagonals

Hope this helps! Plz mark brainliest

3 0
2 years ago
Can some one help me PLEASEEE
notka56 [123]
3 months, 96 plus 78x3 = 330 (78x3=234+96) 110X3=330 meaning it is 3 months
3 0
3 years ago
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