Answer:
see below
Step-by-step explanation:
2/3 ÷ 4
We use copy dot flip
The flip means make a reciprocal of the second number
2/3 * 1/4
Multiply the numerators
2*1 = 2
Multiply the denominators
3*4 =12
Put the numerator over the denominator
2/12
Simplify
1/6
Perpendicular lines have slopes that multiply to -1
y=mx+b
slope=m
y=5x+3
5=slope
5 times what=-1
divide both sides by 5
what=-1/5
the equation of a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
m=-1/5
point=(-1,-1)
y-(-1)=-1/5(x-(-1))
y+1=-1/5(x+1)
y+1=-1/5x-1/5
y=-1/5x-6/5
1/5x+y=-6/5
x+5y=-6
the euation is
y+1=-1/5(x+1) or
y=-1/5x-6/5 or
x+5y=-6 (all same equation but different forms)
1. x>-2 distribute the three and get 3x+6>0 subtract the 6 to get 3x>-6 then divide by 2 to get -2.
2.x>6 distribute 8 to get 8x+8 and distribute 7 to get 7x+14. Subtract over the 8 to get 8x>7x+6 then subtract over 7x to get x>6
3.distribute the 9 and the 4 to get 9x-27<4x+40 add over the 27 and get 9x<4x+67 subtract over the 4x to get 5x<67 divide by 5 and get x<67/5
4. distribute the 3 and the 2 to get 3x+3 + 2x+4>0 add together the like terms 3x+2x=5x and 3+4=7 to get 5x+7>0 subtract over the seven to get 5x>-7 and then divide by 5 to get x>-7/5 5. first add over -7 to get -9x/11<2. after that multiply by 11 to get -9x<22 then divide by -9 (MAKE SURE YOU FLIP THE INEQUALITY SIGN WHEN MULTIPLYING OR DIVIDING BY A NEGATIVE LIKE -9 IN THIS CASE) you get x>-22/9 6. Add over the 5 to get 3x<9 divide by 3 and get x<3
Hour each week:22.5
dollars earned every hour:8.25
dollars spent:61.50
it would take 7 weeks.
