Mary = (1/3)x
Erin = x - 8
John = x
Here is your equation:
(1/3)x + (x - 8) + x = 267
Take it from here.
Answer:
0.6
Step-by-step explanation:
The x increases by 5, while y increases by 3
Lets use the method, which is 
.
Keep in mind that x goes horizontally along the axis, while y goes vertically on the axis.
So plug the numbers in.
0.6
Hence, the constant proportionality is 0.6.
Answer:
Step-by-step explanation:
a) The amount of concern is ...
(total interest)/(number of payments) = interest/payment
$14,644.95/120 ≈ $122.04 . . . . amount of interest per payment
__
b) The ratio of concern is ...
(total interest)/(total payments) × 100% = 14,644.95/39,644.95 × 100%
≈ 36.94% . . . . percent of total payments that is interest
Using the dot product:
For any vector x, we have
||x|| = √(x • x)
This means that
||w|| = √(w • w)
… = √((u + z) • (u + z))
… = √((u • u) + (u • z) + (z • u) + (z • z))
… = √(||u||² + 2 (u • z) + ||z||²)
We have
u = ⟨2, 12⟩ ⇒ ||u|| = √(2² + 12²) = 2√37
z = ⟨-7, 5⟩ ⇒ ||z|| = √((-7)² + 5²) = √74
u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46
and so
||w|| = √((2√37)² + 2•46 + (√74)²)
… = √(4•37 + 2•46 + 74)
… = √314 ≈ 17.720
Alternatively, without mentioning the dot product,
w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩
and so
||w|| = √((-5)² + 17²) = √314 ≈ 17.720
The fraction of cards that Alan has is 3x/4. The correct answer is B.
x-x/4
4x-x/4
3x/4
he has 3x/4 cards
