Answer:
54
Step-by-step explanation:
4x + 6 movies
12 movies,
x =12
4x + 6 for x= 12
4(12) + 6 = 54
R = rides
S = sodas
6R + 3S = $21.75 —> -12R - 6S = -43.5
10R + 6S = $39.50–>10R + 6S = 39.5
Multiplying Justin’s whole equation by -2 will bring out the 6S’, so we can focus on the cost of one ride.
-2R = -4
Divide both sides by -2
So for one ride, it would cost $2.
To find the cost for one soda, we plug in the cost for a ride.
6(2) + 3S = $21.75
12 + 3S = $21.75
3S = $9.75
So for one soda, it would cost $3.25.
Answer:
(x + 14)² + (y – 21/2)² = 1
Step-by-step explanation:
The equation of a circle can be written as seen below
(x – h)² + (y – k)² = r²
Where (h,k) is at the center and r = radius
We are given that the radius is 1
We are also given that the center is at (-14,21/2)
So we know that r = 1, h = -14, and k = 21/2
So to find the equation of the circle we simply substitute these values into the equation of a circle
Equation of a circle: (x – h)² + (y – k)² = r²
r = 1, h = -14, and k = 21/2
Substitute values
(x – (-14))² + (y – 21/2)² = 1²
1^2 = 1
The two negative signs before the 14 cancel out and it changes to + 14
The equation of a circle with a center at (-14,21/2) and a radius of 1 is (x + 14)² + (y – 21/2)² = 1
Answer:
75cm
Step-by-step explanation:
Well, I can't see a photo, so I'll have to assume that the description provides enough info.
10cm/2km = x/15km,
where x is the distance on the map (in centimeters) of a real-life distance of 15 kilometers.
10cm/2km = x/15km
10/2 = 5/1
This means we have to multiply 5 by 15 to find x.
x = 5 · 15
x = 75
Let's plug the new value back in...
10cm/2km = x/15km
10cm/2km = (75cm)/15km
<em>(Simplify each side to its simplest form)</em>
10cm/2km = 75cm/15km
5/1 = 5/1
It works! So x = 75cm.
Hope this helps! :)
880, theres no change in between, only after every 13 years