Answer: It’s A
Step-by-step explanation: C= -14/3 which is simplified to -4 2/3
1) 20x+5y=120
Stp1: 5y=120-20x
Stp2: 5y=(120/5 and -20x/5)= [y=24-4x]
finding x:
20x+5(24-4x)=120
Stp1: 5*24=120,-4x*5=-20
20x+120-20x=120
Stp2: subtract 120 on both sides of = sign
20x-20x=0
Stp3: subtract the variables:
[x=0]
finding y:
20(0)+5y=120
stp1: multiply 20*0
5y=120
stp2: divide 120 by 5
[y=24]
2) 10x+7.5y=80
Stp1: move 7.5y to other sign of =
10x=80-7.5y
Stp2: divide by 10
[x=8-.75y]
substitute x and re do original:
stp1: 10(8-.75y)+7.5y=80
stp2: 80-7.5y+7.5y=80
stp3: subtract variabled num. with variabled num. and whole num. with whole number: [y=0]
solve for x:
10x-7.5(0)=80
10x=80
[x=8]
check:
10(8)+7.5(0)=80
80+0=80
[80=80]
Step-by-step explanation:
l = length
w = width
l/w = 5/2
l = 5w/2
l×w = 1000ft²
(5w/2)×w = 1000
5w²/2 = 1000
5w² = 2000
w² = 400
w = 20ft
l = 5w/2 = 5×20/2 = 5×10 = 50ft
the length is 50ft.
the width is 20ft.
A. True (plug in 0 for x to confirm y=-1)
b. True
c. True
d. False (If you plug in 1 for x, y would equal -2, not 2.)
$54.79 - $29.99 = $24.80
$24.80 + .25 = $25.05
$25.05 - $4.07 = $20.98
Mrs.Heat has $20.98 dollars in her wallet now.
:)