Answer:
<u>Eric earned last month US$ 9,786.25</u>
Step-by-step explanation:
Commission of Eric on each house sold = 5% = 0.05
House 1 $55,000
55,000 * 0.05 = $ 2,750
House 2 $105,525
105,525 * 0.05 = $ 5,276.25
House 3 $35,200
35,200 * 0.05 = $ 1,760
Eric earned last month = $ 2,750 + $ 5,276.25 + $ 1,760
<u>Eric earned last month US$ 9,786.25</u>
-m-4=-13
-m=-13+4=-9
m=9
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1 modulo 9 is the set of numbers as follows:
(0(9) + 1), (1(9) + 1, ....)
which is:
1, 10, 19
All we have to do is divide 1000 by 9, and round down.
1000/9 = 111.111......
There are 111 numbers.
Now let us check our work.
the set is as follows:
(1,10,19, ....... (111)9 +1)
(1, 10, 19 ........ 1000)
We are within 1000.
Therefore, 111 of the 1000 smallest positive integers are congruent to 1 modulo 9.
Using a system of equations, it is found that Debbie worked 45 hours during the week.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Amount of hours worked by Juan.
- Variable y: Amount of hours worked by Debbie.
Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:
9x + 9y = 765
Simplifying the expression by 9:
x + y = 85 -> x = 85 - y.
Debbie worked five hours more than juan during the week, hence:
y = x + 5.
Since x = 85 - y, we replace in the expression:
y = 85 - y + 5.
2y = 90.
y = 45.
Debbie worked 45 hours during the week.
More can be learned about a system of equations at brainly.com/question/24342899
#SPJ1
Answer:
Lyle and Kyle shot 18 baskets each.
Cliff shot 6 baskets.
Step-by-step explanation:
To figure this out, you have to play around with how many shots Cliff made. You can just plug in reasonable numbers until Lyle and Kyle's baskets match.
If Lyle has to shoot 3 times more than Cliff, you multiply 6 x 3 to get 18.
If Kyle shoots 12 more than Cliff, you add 6 + 12 to get 18.
You know you did it right because in the problem it says Lyle's and Kyle's number of shots are equal.
