Answer:
x=9
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:
"6 units left and 9 units down"
Step-by-step explanation:
Suppose a function is given in this form:

This is the parent function y = x^2
- translated a units right (left if there was a + before a)
- translated b units up (down if there was a - before b)
Now, to go from
to
, we can see that:
- first function is 5 units right and 2nd one is 1 unit left, so there is a horizontal translation of 6 units left
- first function is 7 units above and 2nd one is 2 units down, so there is a vertical translation of 9 units down
Thus, "6 units left and 9 units down" is the transformation(translation).
A volleyball uniform costs $13 for the shirt, $11 for pants, and $8 for socks. Write two equivalent expressions for the total cost of 12 uniforms. Then find the cost.
Write an expression for the cost of 1 uniform, add $13, $11 and $8 .
$13+$11+$8
Write an expression for the cost of 12 uniforms, multiply 12 by the cost of 1 uniform.
12($13+$11+$8)
Simplify using the distributive property.
=12⋅13+12⋅11+12⋅8=156+132+96
Now Add.
=384
So, the total cost of 12 uniforms is $384 .