Answer:
10 games
Step-by-step explanation:
Let C be cost and x be number of games
Arcade A: C = 5 + 0.6x
Arcade B: C = 7 + 0.4x
for both arcades to be the same price, Both C's must be equal, hence we equate the right side of both equations:
5 + 0.6x = 7 + 0.4x (subtract 5 fromboth sides)
0.6x = 7 + 0.4x - 5
0.6x = 2 + 0.4x (subtract 0.4x from both sides)
0.6x - 0.4x = 2
0.2x = 2 (divide both sides by 0.2)
x = 2 / (0.2)
x = 10
Answer:
263.76 m^3
Step-by-step explanation:
Using 3.14 as pi
pi * radius^2 * height / 3
3.14 * 6^2 * 7 / 3
3.14 * 36 * 7 /3
3.14 * 252 /3
3.14 * 84
263.76
Answer:
Step-by-step explanation:
Two angles that are adjacent (share a leg) and supplementary (add up to 180°)
<h3>
Answer: 9</h3>
================================================
Work Shown:
a = unknown = leg #1
b = 12 = leg #2
c = 15 = hypotenuse
Plug those values into the pythagorean theorem and solve for 'a'
a^2 + b^2 = c^2
a^2 + (12)^2 = (15)^2 .... substitution
a^2 + 144 = 225
a^2 = 225 - 144 ... subtracting 144 from both sides
a^2 = 81
a = sqrt(81) .... applying square root to both sides
a = 9
Answer:
y = 2x + 5
Step-by-step explanation:
We have two points,
(-2,1) and
(4,13)
from which we can find the slope, m, where
m = (13-1)/(4--2) = 12/6 = 2
take any of the two points to form the point-slope form
y-y1 = m(x-x1)
y-13 = 2 (x-4)
y = 2x - 8 + 13 =2x+5
Check:
when x = -2, y = 2(-2)+5 = 1 checks.
