Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m =
with (x₁, y₁ ) = (5, - 7 ) and (x₂, y₂ ) = (- 3, 2 )
m = = = - , then
y = - x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 3, 2 )
2 = + c ⇒ c = 2 - = - = -
y = - x - ← equation in slope- intercept form
multiply through by 8 to clear the fractions
8y = - 9x - 11 ( add 9x to both sides )
9x + 8y = - 11 ← equation in standard form
Surface area is the sum of the areas of all the faces of the solid figure. Finding surface area of solid figure is like finding how much wrapping paper that is required to cover the solid; it is the area of the outside faces of a box. ... Volume is the amount of space inside of the solid figure.
40% off the original price means that Willem paid 100% - 40% = 60% of the original price.
So 60% of $60 = (60/100)$60 = 0.6 * $60 = $36.
He paid $36.
Inbox me in case you need more explanation
Make chart (rate=speed)
distance=time times rate
D=TR
T=D/R
R=D/T
D T R
J 60 x-2 y+10
M 50 x y
xy=50
(x-2)(y+10)=60
solve for x and y
xy=50
divde both sides by x
y=50/x
subsitute
(x-2)(50/x+10)=60
distribute
50x/x-100/x+10x-20=60
50-100/x+10x-20=60
add like terms
10x-100/x+30=60
10x^2/x-100/x+30=60
(10x^2-100)/x+30=60
subtract 60 from both sides
(10x^2-100)/x-30=0
add 30 to both sides
(10x^2-100)/x=30
multiply both sides by x
10x^2-100=30x
subtract 30x from both sides
10x^2-30x-100=0
factor out the 10
(10)(x^2-3x-10)=0
if you have xy=0 then x and/or y=0 so
10≠0 so (x^2-3x-10)=0
factor by finding what 2 numbers multiply to get -10 and add to get -3
the numbers are -5 and 2 so
(x^2-3x-10)=(x-5)(x+2)=0
so x-5=0
x+2=0
x-5=0
add 5 to both sides
x=5
x+2=0
subtract 2 from both sides
x=-2
false since time cannot be negative
x=5
x times y=50
x=5
5 times y=50
divid eby 5
y=10=Maureen's speed
y+10=10+10=20=Jenny's speed
Jenny's speed is <u>20</u> miles per hour
Maureen's speed is <u>10</u> miles per hour
Answer:
5 hours and rental would be 45
Step-by-step explanation:
15+6x=5+8x
15-5=8x-6x
10=2x
x=10/2
x=5
so in 5 hours rental would be
15 + 6*5= 45
5 + 8*5 =45