Answer:
x = 31/9 and y = 5/3
Step-by-step explanation:
It is given that,
3x - 2y = 7 -----(1)
3x + 4y = 17 ----(2)
<u>To find the solution by elimination method</u>
Step 1: Subtract eq(2) from eq(1)
3x - 2y = 7 -----(1)
<u> 3x + 4y = 17 </u>----(2)
0 - 6y = -10
6y = 10
y = 10/6 = 5/3
Step 2: Substitute the value of y in eq (1)
3x - 2y = 7 -----(1)
3x - 2*(5/3) = 7
3x = 7 + 10/3
3x = 31/3
x = 31/9
Therefore x = 31/9 and y = 5/3
Answer:
2
Step-by-step explanation:
Its the only graph that matches.
To find if a series is either geometric or arithmetic:
it must satisfy this property:
Arithmetic:
a(n+1) - a(n) = const
Geometric:
a(n+1)/a(n) = const
In your case:
r1 = 7 -4 = 3
r2 = 12 - 7 = 5
r1 != r2 (not arirthmetic)
Geometric check:
r1 = 7/4
r2 = 12/7
r1 != r2 (not Geometric)
so neither.
Answer: A popcorn costs $9
Step-by-step explanation:
Let popcorn be represented by p
Let drinks be represented by d.
Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks. This will be: p + 3d = 36.75
Sebastian spends a totally of $138.00 on 3 bags of popcorn and 12 drinks. This will be: 3p + 12d= 138
p + 3d = 36.75 ........... i
3p + 12d = 138 ............ ii
Multiply equation i by 3
Multiply equation ii by 1
3p + 9d = 110.25 ....... iii
3p + 12d = 138 ............ iv
Subtract equation iv from iii
-3d = -27.75
3d = 27.75
Divide both side by 3
d = 9.25
A drink cost $9.25
From equation i
p + 3d = 36.75
P + 3(9.25) = 36.75
P + 27.75 = 36.75
P= 36.75 - 27.75
P= $9
A popcorn cost $9
when the time is between 0 and 15 minutes, the distance depends on the time on a relation: d =(1/10)t
when the time is between 15 and 40 minutes, the distance is independent of the time, it is fixed d = 1.5 miles
when the time is between 40 and 50 minutes, the distance depends on the time on the relation: d = 1.5 + (1/10)(t - 40)
