The rate of
Glenn in finishing a job would be equivalent to:
Rate (G) = 1
job / 20 minutes
While the
rate of Veronika is:
<span>Rate (V) = 1
job / x ---> x is the
unknown</span>
Where 1 job
for Glenn means completely cleaning his room while 1 job for Veronika means
pulling out everything. Therefore the equation to use would be:
1 / 20 – 1 /
x = 1 / 60
The rate of
Veronika is subtracted from the rate of Glenn since Veronika is slowing Glenn
down. Solving for x:
Multiply both
sides by 60 x
(1 / 20 – 1 /
x = 1 / 60) * 60 x
3 x – 60 = x
2 x = 60
x = 30
<span>Therefore it
takes 30 minutes for Veronika to pull everything out.</span>
Answer:
(x, y) = (7, 4) meters
Step-by-step explanation:
The area of the floor without the removal is x^2, so with the smaller square removed, it is x^2 -y^2.
The perimeter of the floor is the sum of all side lengths, so is 4x +2y.
The given dimensions tell us ...
x^2 -y^2 = 33
4x +2y = 36
From the latter equation, we can write an expression for y:
y = 18 -2x
Substituting this into the first equation gives ...
x^2 -(18 -2x)^2 = 33
x^2 -(324 -72x +4x^2) = 33
3x^2 -72x + 357 = 0 . . . . write in standard form
3(x -7)(x -17) = 0 . . . . . factor
Solutions to this equation are x=7 and x=17. However, for y > 0, we must have x < 9.
y = 18 -2(7) = 4
The floor dimension x is 7 meters; the inset dimension y is 4 meters.
Answer:
can't be factored
Step-by-step explanation:
remember the method of factoring
- Find two numbers that multiply to give ac and add to give b.
- Rewrite the middle with those numbers
- Factor the first two and last two terms separately
let's try to do the first step
to figure out b we two factor of 10 that add up to -3
factor of 10:
likewise
as you can see there's no factor that add up to -3 and multiply to give 10
hence,
the expression can't be factored
Answer:
What do you need help with?
Step-by-step explanation:
A ) = $ 0.18/oz = 4.68/26
b) = $0.19/oz = 2.66/14= 0.19
a is a better buy
9) for every 5 babies they need 1 babysitter, so for 40 babies they will need 8 babysitters.
