Slope=4
Rise 4
Run 1
Rise over run - 4/1=4
It will take them 3/4 of an hour together.
Camille can mop and vacuum 1/2 of the house per hour.
Lawrence can mop and vacuum 1/2 of the house per hour.
Gaston can mop and vacuum 1/3 of the house per hour.
Working at this rate for x amount of time, they can all three complete 100% of the job:
1/2x+1/2x+1/3x=1
Combining like terms,
1 1/3x = 1
3/3x + 1/3x = 1
4/3x = 1
Divide both sides by 4/3:
4/3x÷4/3 = 1÷4/3
x = 1/1÷4/3
x = 1/1×3/4
x = 3/4
Answer:
true rectangle have two sets of parallel sides and has four right angles.
Step-by-step explanation:
Answer:
infinitely many solutions
Step-by-step explanation:
Let's first eliminate y^2.
To accomplish this, divide the 2nd equation by 5, obtaining
y^2 = 5/2 - x^2. Now substitute this result for y in the first equation:
(-1/3)x^2 = -5/6 + (1/3)(5/2 - x^2), or
-x^2 -5 5 x^2
-------- = ------ + ------- - -------- and this simplifies to:
3 6 6 3
-x^2 x^2
------- = - ------- which is an identity and is thus always true.
3 3
Thus, any value of x will satisfy this equation; there are infinitely many solutions.
