$80 + $10w ≥ $150
$80 she has already saved + $10 dollars she makes every week must at least be $150
Answer: 165.
Step-by-step explanation: You can multiply 11 by 15 to get 165. If that is too difficult, you can multiply 11 by 5 and 11 by 10 and add them. 11*5 is 55 and 11*10 is 110. 110 + 55 = 165.
This is a system of equations. The first equation represents the tank being emptied and the second equation represents the tank being filled:
k = -10t + 528
k = 14t
To solve this system of equations, we will use substitution. The second equation says that k is equal to 14t, so we can substitute 14t for k in the first equation.
14t = -10t + 528
24t = 528
t = 22
Now that we have t, we can use it to find k by plugging it in to the second equation:
k = 14(22)
k = 308
So, it will take 22 minutes for both tanks to hold equal amounts of water. They will each hold 308 kiloliters.
Answer: Rewrite equations:
5x+y=−13;6x+6y=−6
Step: Solve5x+y=−13for y:
5x+y=−13
5x+y+−5x=−13+−5x(Add -5x to both sides)
y=−5x−13
Step: Substitute−5x−13foryin6x+6y=−6:
6x+6y=−6
6x+6(−5x−13)=−6
−24x−78=−6(Simplify both sides of the equation)
−24x−78+78=−6+78(Add 78 to both sides)
−24x=72
−24x
−24
=
72
−24
(Divide both sides by -24)
x=−3
Step: Substitute−3forxiny=−5x−13:
y=−5x−13
y=(−5)(−3)−13
y=2(Simplify both sides of the equation)
Answer:
x=−3 and y=2
Step-by-step explanation:
