Answer:
1: -13
Step-by-step explanation:
First, simplify the equation to -2y+10=36
Subtract 10 from both sides
-2y=26
Divide negative 2 from both sides
y=-13
Answer:
x + y = 47 (eqn 1)
x + 2y = 79 (eqn 2)
Solving the simultaneous equation,
The hotel has 15 single rooms and 32 double rooms.
Step-by-step explanation:
English Translation
The management of Colegio Montes and the parents are organizing a cultural trip to Guanajuato for second grade students and their teachers. Students will sleep in double rooms and teachers in singles. The hotel has double rooms (2 beds) and single rooms (1 bed), totaling 47 rooms and 79 beds. To confirm if they can be accommodated, they want to know how many rooms there are of each type. If "x" denotes single rooms and "y" denotes double rooms, Write the system of equations that represents the situation: Equation that represents the number of rooms (1) Equation that represents the number of beds (2)
Solution
The number of single rooms = x
The number of double rooms = y
The number of beds in single rooms = x
The number of beds in double rooms = 2y
Total number of rooms = 47
Total number of beds = 79
Sum of single and double rooms = Total number of rooms
x + y = 47 (eqn 1)
Sum of the beds in the single rooms and the beds in the double rooms = Total number of beds
x + 2y = 79 (eqn 2)
Writing the equations together
x + y = 47 (eqn 1)
x + 2y = 79 (eqn 2)
Solving the equations simultaneously,
x = 15, y = 32
Hence, the hotel has 15 single rooms and 32 double rooms.
Hope this Helps!!!
Answer:
$17.20
Step-by-step explanation:
Total commission = cost x percent commission rate
86 x 20 % = 17.20
Total commission = $17.20
Answer:
Step-by-step explanation:
3/7 × 1256
= 358
Alright, so we have 1.3/0.0338. Since it's easier (in my opinion) to work with whole numbers, we can multiply the fraction by 10000/10000 to get 13000/338. With a bit of guess and check, we can see that
338*30=338*3*10
1 2 (what I carry is at the top)
338
x3
____
1114
Multiplying that by 10, I get 11140, which isn't enough. Trying 338*40, which is 338*4*10, we can add 338 to 338*3 to get 338*4 to get
2
1114
+338
____
1462
Multiplying that by 10, we get 14620, which is more than 13000 - something we don't want. Repeating this for 338*35 (which is 338*3.5*10, and 3.5 is 3*338+338/2)=11830 and which isn't enough, we then move on to something between 35 and 40 (the number doesn't matter), say 39. 338*39=338*3.9*10, and 338*3.9 is 338*3+338*9/10, and
338*39 results to 13182, which is more than 13000 , but only by a tiny bit, so we can try 38 using the same method, getting 12844, which is smaller, so we know it's between 38 and 39. Finding the difference between 13000 and 12844, we get 13000-12844=156 and the answer is therefore 38+156/338
