Answer:(11,13)
Step-by-step explanation:
3(11)-2(13)=13= 11+2
If you plug these numbers in, you get the correct answers .
2x+2y=16
<span>2x+6y=28
all you have to do is subtract to get rid of the 2x and solve for y
2x+2y = 16
-2x-6y = -28
---------------------------
0 -4y = -12
y = 3
now we got y we can plug in or do the systems of equation again and find x. lets do systems of equations again.
</span>2x+2y=16
<span>2x+6y=28
</span><span>
this time i am going to multiple the top by -3 and then add the equations hopefully it is clear why I multiple by -3
</span><span>
-3(2x+2y = 16)
2x +6y = 28
-6x - 6y = -48
</span>2x +6y = 28
------------------------
-4x + 0y = -20
x = 5
3/4=9/12
So the total walked is 9/12+7/12=16/12=1 1/3 mi which is C
Answer:
The equations y=10x+250 and y=20x represent the situation.
Step-by-step explanation:
Given that:
Cost to rent the park = $250
Cost per person for t-shirt and snack = $10
Cost of participation = $20
y = cost
x = number of people
Cost for the organization;
y = 10x + 250
Amount generated from people's participation
y = 20x
Hence,
The equations y=10x+250 and y=20x represent the situation.
Answer:
|F net| = 20.22 N
θ ≈ 19.8°
Step-by-step explanation:
F net = 15N i + 8cos(60°)N i + 8sin(60°)N j
= 15N i + 8×½N i + 8×√3/2N j
= 15N i + 4N i + 4√3N j
= 19N i + 4√3N j
|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N
tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°