Answer:
34x + 45y = 192.25
47x + 16y = 208
Step-by-step explanation:
Let x stand for peaches.
Let y stand for grapes.
Since we know that yesterday he sold 35 pounds of peaches ( x ) and 45 pounds of grapes ( y ) for $192.25, we can create an equation to represent this using two variables; peaches and grapes.
We can do the same thing with the amount of peaches and grapes he sold today. Once we make this equation, we will have two equations to make the system of equations to solve for x and y.
Answer:
(a) 
(b) It takes <u>26 seconds</u> to completely fill the balloon.
Step-by-step explanation:
Let the time for which balloon is filled be 't' seconds.
(a)
Given:
Rate of filling (r) = 0.5 ft³/s
Initial volume of hydrogen in the balloon (V₀) = 2 ft³
The filling of hydrogen is a linear function of time.
So, Volume of hydrogen filled in the balloon at any time 't' is given as:
Volume = Initial volume + Rate of fill × time taken
⇒ 
⇒ 
Therefore, the linear function 'V' that models the volume of hydrogen in the balloon at any time 't' is 
(b)
Given:
Balloon has a capacity of 15 ft³. This means the total volume of hydrogen that can be filled is 15 ft³.
So, 
Plugging 'V' value in the above equation and solving for 't', we have:

Therefore, it takes 26 seconds to completely fill the balloon.
Y=mx+b
m=slope
solve for y
5y=x-3
divide both sides by 5
y=(1/5)x-(3/5)
slope=1/5
C is answer
Answer:
they all are correct
Step-by-step explanation:
Angle 2 and 3 is congruent by Substitution Property