Answer:
a) 3x-5=16
b) 30cm
Step-by-step explanation:
a) 5(x-1)=2(x+8)
5x-5=2x+16
5x-2x-5=16
3x-5=16
b) solving the equation gives x=7
put x=7 into first line, 5(7-1)=30cm
to check we can place it into second one as well
2(7+8)=30cm
Answer:
The width is 50 yards and the length is 141 yards.
Step-by-step explanation:
Let's call: L the length of the field and W the width of the field.
From the sentence, the perimeter of the rectangular playing field is 382 yards we can formulate the following equation:
2L + 2W = 382
Because the perimeter of a rectangle is the sum of two times the length with two times the width.
Then, from the sentence, the length of the field is 9 yards less than triple the width, we can formulate the following equation:
L = 3W - 9
So, replacing this last equation on the first one and solving for W, we get:
2L + 2W = 382
2(3W - 9) + 2W = 382
6W -18 +2W = 382
8W - 18 = 382
8W = 382 + 18
8W = 400
W = 400/8
W = 50
Replacing W by 50 on the following equation, we get:
L = 3W - 9
L = 3(50) - 9
L = 141
So, the width of the rectangular field is 50 yards and the length is 141 yards.
Answer:
The Answer would be 4n
Step-by-step explanation:
Since Marcus ran four times as far this week, we need to know how far he ran last week in order to solve this expression. Since we do not know this information it becomes our variable (n). From the statement we can also infer that there is multiplication since he states the word "times". Therefore our Algebraic Expression would be the following.
P = 4n
P being distance ran by Marcus, and n being distance ran last week by Marcus.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
We will recommend option C which is Salaried pay. Salaried employees make more per week than hourly employees.
<h3>How do you find out the best salary option?</h3>
Given that, Salary per year = $78,000.
Hourly employees get paid $26 per hour, but get $39 per hour for each hour over 40 hours.
The total number of working hours from Sunday to Saturday is 47.
The payment for 47 hours of work per week will be given below.
Salary per week = 
Salary per week = $1313
We know that there are 52 weeks in one year. So the salary for one year is given below.
Salary per year = 
Salary per year = $68276
We can see that we calculate the yearly salary with per hour rate, the amount will be lower than the salary per year $78000.
Hence we will recommend option C which is Salaried pay. Salaried employees make more per week than hourly employees.
To know more about years and weeks, follow the link given below.
brainly.com/question/1123016.
