Answer:the cost of 1 gallon of gas is $2.31
the cost of 1 quart of oil is $1.7
Step-by-step explanation:
Let x represent the cost of 1 gallon of gas.
Let y represent the cost of 1 quart of oil.
A motorist paid $26.50 for 10 gallons of gas and 2 quarts of oil. It means that
10x + 2y = 26.5 - - - - - - - -1
Another motorist paid $23.58 for 8 gallons of gas and 3 quarts of oil. This means that
8x + 3y = 23.58 - - - - - - -- - - - 2
Multiplying equation 1 by 3 and equation 2 by 2, it becomes
30x + 6y = 79.5
16x + 6y = 47.16
Subtracting, it becomes
14x = 32.34
x = 32.34/14 = 2.31
Substituting x = 2.31 into equation 1, it becomes
10 ×2.31 + 2y = 26.5
23.1 + 2y = 26.5
2y = 26.5 - 23.1 = 3.4
y = 3.4/2 = 1.7
Answer:
61 degrees
Step-by-step explanation:
==>Given ∆MNO,
MO = 18,
MN = 6
m<O = 17°
==>Required:
Measure of <N
==>SOLUTION:
Use the sine formula for finding measure of angles which is given as: Sine A/a = Sine B/b = Sine C/c
Where,
Sine A = 17°
a = 6
Sine B = N
b = 18
Thus,
sin(17)/6 = sin(N)/18
Cross multiply
sin(17)*18 = sin(N)*6
0.2924*18 = 6*sin(N)
5.2632 = 6*sin(N)
Divide both sides by 6
5.2632/6 = sin(N)
0.8772 = sin(N)
sin(N) = 0.8772
N = sin^-1(0.8772)
N ≈ 61° (approximated)
Answer:
The equation you're looking for is y=-x+6
Step-by-step explanation:
we know,
Therefore, nth term of a given gp is
16a