Answer:
1. $427.50
2. 50 hours
Step-by-step explanation:
1. First, find your salary at minimum hours, which is $360. Then, take your second equation, plug in 45, and solve using PEMDAS. This will give you $427.50
2. To solve this, you'll need to set it up like so:
495 = 13.5 (x - 40) + 360
Your next step will be to distribute the number outside the parentheses. This will give you:
495 = 13.5x - 540 + 360
Simplify, like so:
495 = 13.5x - 180
Solve.
495 = 13.5x - 180
+180 +180
This will give you:
675 = 13.5x
Divide each side.
675 = 13.5x
------ -------
13.5 13.5
50 = x
Answer:
$954
Step-by-step explanation:
900 x 0.06=
54+ 900=
954
A ) x² - 10 x - 14 = 0 and ( 2 x - 10 )² = 156 T ( True )
( 2 x - 10 )² - 156 = 04 x² - 40 x + 100 - 156 = 04 x² - 40 x - 56 = 0 / : 4x² - 10 x - 14 = 0
B ) ( x - 10 )² = 68 and x² - 20 x = - 32 / T ( True )
( x - 10 )² = 68 x² - 20 x + 100 = 68x² - 20 x = 68 - 100x² - 20 x = - 32
C ) x² - 6 x = 247 and ( x - 3 )² = 256 / T ( True )
( x - 3 )² = 256x² - 6 x + 9 = 256x² - 6 x = 247
D ) ( x + 5 )² = 65 and x² = 90 - 10 x / F ( False )
( x + 5 )² = 65x² + 10 x + 25 = 65x² = 65 - 25 - 10 xx² = 40 - 10 x
Hope this helped! (:
Answer:
Explanation:
<u>Description of triangle EFD</u>:
- Angle EFD: right angle (90º)
- x: adjacent leg to angle EDF
- 3: hypotenuse of triangle EFD
<u>Description of triangle EDG</u>:
- Angle EDG: right angle (90º)
- 4 adjacent leg to angle EGD
- 5: hypotenuse of triangle EDG
<u>Similarity</u>:
- Triangle EFD and triangle EGD are similar.
Then, since corresponding parts of similar triangles are proportional:
<u>Clear x</u>: