Answer:
Step-by-step explanation:
Given:
Violinists : Cellists = 7:3.
Number of violinists in the school orchestra = 21
To find:
The combined number of cellists and violinists.
Solution:
Let the number of violinists and cellists in the school orchestra are 7x and 3x respectively.
Then, combined number of cellists and violinists is

...(i)
Number of violinists in the school orchestra = 21

Divide both sides by 7.

Now, the combined number of cellists and violinists is
[Using (i)]

Therefore, the combined number of cellists and violinists is 30.
Answer:
Table 4 represents the same linear expression as y = 3 x - 2.
Step-by-step explanation:
Here, the given expression is y = 3 x -2
So now check the any random pair of each table by putting in the given equation.
<u>TABLE 1 : (2,-5)</u>
y = 3x -2 ⇒ -5 = 3(2) -2
or, -5 = -4 , NOT POSSIBLE
<u>TABLE 2 : (0,3)</u>
y = 3x -2 ⇒ 3 = 3(0) -2
or, 3 = -2 , NOT POSSIBLE
<u>TABLE 3 : (1,2)</u>
y = 3x -2 ⇒ 2 = 3(1) -2
or, 2 = 1 , NOT POSSIBLE
<u>TABLE 4 : (1,1)</u>
y = 3x -2 ⇒ 1 = 3(1) -2
or, 1 = 1 , POSSIBLE
checking for (2,4)
4 = 3(2) - 2 ⇒4 = 4 POSSIBLE
Here, table 4 satisfies the given points in the expression y = 3x -2
Hence, it represents the same linear expression .
Answer:
3.4
Step-by-step explanation:
both angles are equal, i.e 16x - 9 = 45.
the value of x is 3.375