Answer:
no solution
Step-by-step explanation:
Given
(21 - 3a) = 6 - a ( multiply through by 3 to clear the fraction )
21 - 3a = 18 - 3a ( subtract 21 from both sides )
- 3a = - 3 - 3a ( add 3a to both sides )
0 = - 3 ← not possible
This indicates the equation has no solution
Answer:

Step-by-step explanation:
Let the smaller number be
. Since they are consecutive even numbers, the larger number can be represented by
.
Therefore, we have the following equation:

Thus, the larger number is 
Using translation concepts, the coordinates of Z(x,y) after translating it 7 units down and then translating it 8 units right is:
Z'(x + 8, y - 7).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the translations are given as follows:
- 8 units right, hence x -> x + 8.
- 7 units down, hence y -> y - 7.
Hence the coordinates of Z(x,y) after translating it 7 units down and then translating it 8 units right is:
Z'(x + 8, y - 7).
More can be learned about translation concepts at brainly.com/question/28351549
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Answer:
C. 1.15<em>x</em> because adding 15% to the cost of the haircut is the same as multiplying the cost by 1.15.
Step-by-step explanation:
This answer is correct because, adding 0.15x (or 15%) to the total amount is the same as multiplying the cost by 1.15. This is because, the 1 that is added to 0.15 represents the total, since we are just multiplying instead of adding to it.
Hope this helps! :D