Answer:
Step-by-step explanation:
Let x = gallons consumed by car 1
Let y = gallons consumed by car 2
We set up our equations:
35x+40y = 1850 eq1
x+y = 50 eq2
Substituting eq 2 into eq 1,
35x+40(50-x) = 1850
35x+2000-40x = 1850
-5x+2000 = 1850
-5x = -150
x = 30
Substitute value of x into eq 2.
x+y = 50
30+y = 50
y = 20
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
Answer:
14 9/16 - 8 1/4 = 14 9/16 - 8 4/16 = 233/16 - 132/16 = 101/16 = 6 5/16 ~~ 6
14 9/16 - 8 1/4 = 6
n, n + 2, n + 4 - three consecutive odd integers
366 - the sum
Equation:
n + (n + 2) + (n + 4) = 366
n + n + 2 + n + 4 = 366
3n + 6 = 366 |subtract 6 from both sides
3n = 360 |divide both sides by 3
n = 120
n + 2 = 120 + 2 = 122
n + 4 = 120 + 4 = 124
Answer: 120, 122, 124.
<span>-7x + 8y = -9
8y = 7x - 9
y = 7/8x - 9/8
so line </span><span>-7x+8y=-9 has slope = 7/8
</span><span>perpendicular lines, slope will be opposite and reciprocal
so new line has slope = -8/7
passing thru </span><span>(2,-5)
</span>y = mx + b
-5 = -8/7(2) + b
-5 = -16/7 + b
b = -5 + 16/7
b = -35/7 + 16/7
b = -19/7
equation
y = -8/7x - 19/7
hope it helps
