Answer:
-978
Step-by-step explanation:
1.) Use Distributive property (by multiplying 15 by the values in parentheses): -735=15m + 13935
2.) Subtract 13,935 on both sides, to move that value to the left side, to further isolate the variable m.
-735-13935=15m + 13935 - 13935
3.)-Simplify/Combine Like Terms
-14,670=15m
4.) Divide both sides by 15 to isolate and solve for m
-14,670/15=15m/15
5.) Simplify
-978=m
6.) Rearrange so m is on left side and value is on right side
m=-978
Answer:
angle 1 = 135 degrees
Step-by-step explanation:
Answer:
Option A: 4 units is the correct answer.
Step-by-step explanation:
Given that:
Layana's house is located at (
)
Store is located at (
)
We can find distance between two points by using distance formula.
S = 
The points can also be written as;
House (8/3, 22/3)
Store (-4/3, 22/3)
Putting values in the formula.
S = 
S = 
S = 
S = 
S = 
S = 4 units
Hence,
Option A: 4 units is the correct answer.
Answer:
Adult ticket = $11
Children ticket = $9
Step-by-step explanation:
Let the price of adult tickets be x and let the price of children's ticket be y
For the first day, the equation of sales can be put as
3x + 12y = 141..........1
For the second day, the equation of sales can be put as:
13x + 6y = 197............2
We then take these two equations together and solve simultaneously.
3x + 12y = 141.......1
13x + 6y = 197........2
Solving by elimination method, we Multiply through equation 1 by 13 and multiply through equation 2 by 3.
39x + 156y = 1833.........3
39x + 18y = 591..............4
Then subtract equation 4 from equation 3
138y =1242
y = 9
Substitute "y=9" into equation 1 to find x
3x + 12(9) =141
3x + 108 = 141
3x = 141 - 108
3x = 33
x = 11
Hence,
Price of adult ticket = $11
Price of children ticket = $9
