Answer:
19.6875
Step-by-step explanation:
Two key parts of this solution.
<u>1) </u><u /><u>Set up the right equations.</u> Let's say that x is the number of hours during the weekdays, and y is the number of weekend hours. In each week, Ramiro will earn $20*x for his work on weekdays and $30*y for his work on weekends. The second sentence tells us that in this week, the total is $650. So, our first equation is:
20x + 30y = 650
The third sentence tells us that x is 5 times as many hours as y. In other words:
x = 5y
<u>2) Solve for one of the variables.</u><u /> Now that you have 2 equations with 2 variables, you can manipulate the equations to cancel out one variable and solve for the other. Since the question asks for the number of weekend hours, let's solve for y.
Here, it's easier to just substitute x in the original equation. If you put 5y in place of x, the equation becomes:
(20*5y) + 30y = 650
expand -->
100y + 30y = 650
add -->
130y = 650
divide both sides by 10 -->
13y = 65
divide both sides by 13 -->
y = 5
So, Ramiro worked 5 hours on the weekend (and therefore, 25 during the week).
Answer:
22.44 meters
Step-by-step explanation:
First find the LCM(51,68) = 204.
So their footsteps coincide every time after Nick's 204 ÷ 51 = 4th step and his dad's 204 ÷ 68 = 3rd step.
So, in the distance of 204 cm, there will be total 6 footsteps, except in the first 204 cm when their "starting" step is counted.
The total distance will be 67 − 1 (starting step)/6 · 204=2244 cm or 22.44m.
30+2x=3x+5
x=25
edit: sorry for the wrong answer. i messed up
Yes
Plug in points
Mark brainliest please