For every watch that Sarah sells, she earns $4. She gets an additional bonus of $50 for every 25 watches she sells. Last month, Sarah received a total of $506. How many watches did she sell last month?

114 watches

Step-by-step explanation:

1. Create an x and y graph. The first x as 25 watches and y as $100 since 25 watches cost $100. Also, in the y column just add $50 in parenthesis next to the y's so you know that each time Sarah gets an additional bonus. Then continue the pattern, with the x column adding by 25. You should stop once you reach 100 watches.

It should look like...

 x                  y

25w     $100 ($50)

50w     $200 ($50)

75w     $300 ($50)

100w    $400 ($50)

2. Now you know that 100 watches with additional bonuses cost $450, you create the expression, 450+4x=506 to find out how many watches more need to be sold so the total is $506.

3. Subtract 450 from both sides so the expression simplifies to 4x=56. Then divide 4 on both sides, which gives you 14.

4. Now add the original amount of watches that made 450, which was 100 with 14. This gives you 114 watches.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it