Answer:
a. 
b. x = 4 (see steps below)
Step-by-step explanation:
Since the two polygons are similar, the sides are proportional to each other. Using a proportion, you can solve for 'x' using cross-multiplication and division:
Cross-multiply: 15(x + 3) = 21(x + 1)
Distribute: 15x + 45 = 21x + 21
Subtract '15x' from both sides: 15x + 45 - 15x = 21x + 21 - 15x or 45 = 6x + 21
Subtract '21' from both sides: 45 - 21 = 6x + 21 - 21 or 24 = 6x
Divide by 6 on both sides: 24/6 = 6x/6
Solve for x: x = 4
Answer:
$510
Step-by-step explanation:
The first thing you would do is multiply 3000 by .03 which would give you 90, then you would multiply her number of hours worked, 40, by how much she gets paid per hour, 10.50 which will give you 420 then you would just add 90 to 420 and get a total of $510. Veronika's weekly gross salary is $510.
Answer:
The room can be rented for 6 hours with $91.4
Step-by-step explanation:
If my guess was correct, there was a reservation fee of $47, and there was another fee of $7.4 per hour and the question is asking for how many hours can be rented with $91.4 and the variable t to represent the time.
First, $91.4-$47 as that is the reservation fee. $91.4-$47 = $44.4
Next, we figure out how many hours can we rent with $44.4. Since one hour of rental costs $7.4, t = 44.4/7.4
Finally, we just divide. This is a relatively simple question when thinking about how straightforward this is.
44.4/7.4 = 6
Recheck:
7.4*6 = 44.4
t = 6
