You can write the proportion as 2 equal fractions or as two equal ratios.
or 12 pens:$10 = x pens:$15You can buy x pens for 15 dollars. One way to find x is by cross multiplying the fractions.
10x=12×15
10x=180
----- -----
10 10
x=18
You can buy 18 pens for $15.
Answer:
1/6
Step-by-step explanation:
Assuming that the dice is 6 sided.
There is only one 6 side on the dice, out of 5 other sides.
Therefore, 1/6.
Answer: z = 6i / (4+3i)
Step-by-step explanation: Rectangular form:
z = 0.72+0.96i
Angle notation (phasor):
z = 1.2 ∠ 53°7'48″
Polar form:
z = 1.2 × (cos 53°7'48″ + i sin 53°7'48″)
Exponential form:
z = 1.2 × ei 0.2951672
Polar coordinates:
r = |z| = 1.2 magnitude (modulus, absolute value)
θ = arg z = 53.1301° = 53°7'48″ = 0.2951672π angle (argument or phase)
Cartesian coordinates:
Cartesian form of imaginary number: z = 0.72+0.96i
Real part: x = Re z = 0.72
Imaginary part: y = Im z = 0.96
Hope this helps!
I am joyous to assist you anytime.
~Jarvis
Answer:
<em> f ( x ) = - 2x^2 + 3x + 1</em>
Step-by-step explanation:
If f ( x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;
− ∞ < x < ∞, while y > − ∞
Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;
If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;
<em>Solution; f ( x ) = - 2x^2 + 3x + 1</em>, where the degree is 2, the LCM ⇒ - 2
So we know Miguel has 20$ so from there we subtract the prices of the movies ticket, snacks, and the bus fares.
20 - 6.25 = 13.75
13.75 - 3.70 = 10.05
Since the bus fare is each way (to and back) we multiply 1.25 x 2
1.25 x 2 = 1.50
10.05 - 1.50 = 8.55
He has $8.55 left
