a constant of proportionality is a number you have to multiply x by to get y.
y=kx is the equation that expresses the proportionality of x and y
in this case, 10 video games cost $145
the question's basically asking what you have to multiply 10 by to get 145
y= 145; x=10
k= y/x = 145/10=14.5
the constant of proportionality is 14.5
Answer:
BC < CE < BE < ED < BD
Step-by-step explanation:
In the triangle BCE,
m∠BEC + m∠BCE + m∠CBE = 180°
m∠BEC + 81° + 54° = 180°
m∠BEC = 180 - 135
m∠BEC = 45°
Order of the angles from least to greatest,
m∠BEC < m∠CBE > mBCE
Sides opposite to these sides will be in the same ratio,
BC < CE < BE ----------(1)
Now in ΔBED,
m∠BEC + m∠BED = 180°
m∠BED = 180 - 45
= 135°
Now, m∠BDE + m∠BED + DBE = 180°
11° + 135°+ m∠DBE = 180°
m∠DBE = 180 - 146
= 34°
Order of the angles from least to greatest will be,
∠BDE < ∠DBE < ∠BED
Sides opposite to these angles will be in the same order.
BE < ED < BD ----------(2)
From relation (1) and (2),
BC < CE < BE < ED < BD
Okay, so basically all you need to do is combine like terms!
in this case, 4y and -3y are like terms... and -1 and 2 are like terms
so, 4y - 3y is 1y or y
and -1 + 2 is 1
so your simplified answer is y + 1
I hope this helps!!
Answer:
it will take 1.4 hours for the two trains to be 294 miles apart
Step-by-step explanation:
Let t be the time taken for each train
The westbound train travels at 95 miles per hour.
Speed of westbound train = 95
time = t
Distance = speed * time = 95 t
The eastbound train travels at 115 miles per hour
Speed of eastbound train = 115
time = t
Distance = speed * time = 115 t
both trains are 294 miles apart means the distance between both trains are 294 miles
So we add the distance of both trains and set it equal to 294
95t + 115t = 294
210 t =294
t = 1.4
So, it will take 1.4 hours for the two trains to be 294 miles apart
<span>hypothesis :-
if x=30, then 3/4x+5≠20
let Q:- x=30 P:- 3/4x+5≠20
we need to prove if Q then P (Q →P)
proof :-
lets assume 34x+5=20 is true
now x=30
so
3/4(30)+5=27.5 ≠20
which is a contradiction
proved ^</span>
