Answer:
210=75x-10x+35
Step-by-step explanation:
So we know to total profit he made is 210 dollars, in which he earned from 3 independent reasons.
The profits he made in per appointment will need a variable because we don't know how many appointments he made. So knowing that we can conclude that 75 dollars and 10 dollars per appointment has to have a variable after it. The same variable as well because both of which are money.
As of the tip, we don't need a variable because it is a one time addtion, he recieved a total of 35 dollars after all of the appointments, so no need to know how many. We already know the total.
So that leaves us to write an equation. The total=$per appointment-fee per appointment+tip. Which becomes 210=75x-10x+35.
Hope this helps!
Answer:
If there are 32 teams in the tournament and 1 winner, there were 31 games. So, 63 - 31 = 32 games.
Step-by-step explanation:
in isoscles triangles two angles and lengths are equal .
two sides equal 3.5
so both of the angles are 55°
the sum of the angles in a triangle is 180°, so
x = 180° - 55° - 55°
x = 70° (Ans)
Answer:
C. (5x - 1)(x + 8)
Step-by-step explanation:
In a factoring problem by hand, the common steps to solve would be the "AM" method, or (Add-Multiply). Simply stated, finding what adds to the x-coeficient and what multiplies to the constant. In this case, what adds to 39(x) and what multiplies to 8. Just reading that, we can see that there aren't any numbers that can do that, so we have to improvise. Set up the problem equal to something that it can factor into:
- <em>Multiply the 5 and -8</em> = -40: <em>this is what we will factor</em>
- <em>The factors with add to 39 are 40 and -1</em>.
- <em>Set up the problem:</em>

Now, we can fo the math:

8(5x - 1) + x(5x - 1)
<em>Factor (5x - 1) from this:</em>
(5x - 1)(x + 8)
And we have our answer.
A because the angles match