Restaurant 1 : y = 7k + 39
restaurant 2 : y = 2k + 44
7k + 39 = 2k + 44
7k - 2k = 44 - 39
5k = 5
k = 5/5
k = 1
y = 2k + 44
y = 2(1) + 44
y = 2 + 44
y = 46
Dinner would cost $ 46 at either restaurant if Lina's lobster weighed 1 kilogram.
Answer:
x=12
Step-by-step explanation:
First you make sure x is on both sides of the equation. So you do 0.7x-5-0.2x=0.2x+1-0.2x. Which just simplifies to 0.5x-5=1. You make sure x is the only thing on that side of the equation so you do 0.5x-5+5=1+5 which simplifies to 0.5x=6. Multiply the equation times 2 to just have x. x=12. The value that makes true of x is 12.
Answer:
equal sides
Step-by-step explanation:
the side aren't always the same
Answer:
Radius of P = 5 cm
Step-by-step explanation:
Radius (r) of Q = 20 cm
Area of Q = 4 × Area of P
This means that:
Area of the quarter circle (Q) = 4 × Area of the circle (P)
Thus:
¼(πr²) = 4 × πr²
Plug in the values into the equation
¼(π*20²) = 4 × πr²
Find the value of r, which is the radius of P
¼(400π) = 4πr²
Multiply both sides by 4
400π = 4πr²*4
400π = 16πr²
Divide both sides by 16π
400π/16π = r²
25 = r²
Take the square root of both sides
√25 = √r²
5 = r
r = 5
Therefore, the radius of P = 5 cm
