<h3>17 heavy equipment operators and 14 general labourers were employed</h3>
<em><u>Solution:</u></em>
Let x = number of heavy equipment operators employed
Then,
31 - x = number of laborers employed
From given,
Pay of heavy equipment operators = $ 138 per day
Pay of general labours = $ 93 per day
Payroll was $3648
Therefore,
number of heavy equipment operators x Pay of heavy equipment operators + number of laborers employed x Pay of general labours = 3648
138x + 93(31 - x) = 3648
138x + 2883 - 93x = 3648
45x = 3648 - 2883
45x = 765
x = 17
Thus,
31 - x = 31 - 17 = 14
Therefore, 17 heavy equipment operators and 14 general labourers were employed
Answer:
an = 115 + (n - 1) (-6)
a25 = - 29
Step-by-step explanation:
We use the definition for the nth term of an arithmetic sequence:
an = a1 + (n - 1) d
a5 = 91 = a1 + (5 - 1) d
91 = a1 + 4 d
a20 = 1 = a1 + (20 - 1) d = a1 + 19 d
1 = a1 + 19 d
now we subtract term by term one expression from the other
90 = 4 d - 19 d
90 = - 15 d
divide both sides by -15 to isolate d
d = 90 / (-15) = -6
Now we can calculate what a1 is using for example:
1 = a1 + 19 d
1 = a1 - 114
add 114 to both sides:
115 = a1
Then our general expression for the sequence is:
an = 115 + (n - 1) (-6)
We can now use it to calculate the value of a25:
a25 = 115 + (24) * (-6) = -29
Difference would be that is a diameter is double a radius and a radius is half of a diameter.
A similarity would be that they would are within a circle and touch the center of circle
Answer:
Second choice, 2/5
Step-by-step explanation:
12 + 9 + 10 + 11 + 8 = 50
12 red and 8 blue, the probability of getting either is 12 + 8 = 20/50 which simplified is 2/5
Answer:
5 books must be read in 1 month for the total charges from each club to be equal.
Step-by-step explanation:
Monthly Charges of ABC club = 40$
Per book read charges of ABC club = 2$
amount of book read = x
Total charges of ABC club = 40 + 2x
Monthly Charges of Easy book club = 40$
Per book read charges of Easy Book club = 3$
Total charges of Easy book club = 35 + 3x
To calculate how many books must be read in 1 month for the total charges from each club to be equal,
Total charges of ABC club = Total charges of Easy book club
40 + 2x = 35 + 3x
40 - 35 = 3x -2x
5 = x
x = 5
Therefore, 5 books must be read in 1 month for the total charges from each club to be equal.