So legnth is 7 more than 6 times width
l=7+6w
area=10 cm^2
lw=area
subsitute
7+6w for l
(7+6w)(w)=10
7w+6w^2=10
subtract 10 from both sides
6w^2+7w-10=0
factor
multiply 6 and -10
get -60
now find what 2 numbers multiply to get -60 and add to get 7
the answe ris -5 and 12
split up 7w into that
6w^2+7w-10=0
6w^2+12w-5w-10=0
group
(6w^2+12w)+(-5w-10)=0
undistribute factors
(6w)(w+2)+(-5)(w+2)=0
reverse distribute (ab+ac=a(b+c)
(w+2)((6w)+(-5))=0
(w+2)(6w-5)=0
set each to zero
w+2=0
subtract 2
w=-2
false, legnths cannot be negative
6w-5=0
add 5
6w=5
divide both sides by 6
w=5/6
subsitute
l=7+6w
l=7+6(5/6)
l=7+5
l=12
legnth=12 cm
width=5/6 cm
So, the equation would be -
1.50x + 10 = 40
and you have to find the value of x
1.50(?) +10 = 40
The value of x would be 20
1.50 x 20 = 30 +10 = 40
Your answer would be that
Daniel can ride up to 20 rides
$122 because if you add 55 + 67 you get 122 then you just add the dollar sign
The newspaper carrier can deliver 147 newspapers in 3 hours
Answer:
The answers should be
x^2 + 8x + 7
x(x + 8) +7
Step-by-step explanation:
(x + 7)(x + 1)
x(x) + x(1) + 7(x) + 7(1)
x^2 + x + 7x + 7
x^2 + 8x + 7
