Step-by-step explanation:
c=8
hope it helps.....,
Answer:
System of equations:
6d + 3p = 42.75
10d + 15p = 98.75
Drink = $5.75
Popcorn = $2.75
Step-by-step explanation:
6d + 3p = 42.75
subtract 6d from both sides
3p = 42.75 - 6d
divide both sides by 3
p = 14.25 - 2d
substitute P in the second equation with the answer and solve for D
10d + 15( 14.25 - 2d) = 98.75
distribute out the 15
10d + 213.75 -30d = 98.75
-20d + 213.75 = 98.75
subtract 213.75 from both sides
-20d = -115
divide both sides by -20
d = 5.75
substitute D back in the first equation and solve for P
3p + 6(5.75) = 42.75
multiply the 6 and 5.75
3p + 34.5 = 42.75
subtract 34.5 from both sides
3p = 8.25
divide both sides by 3
p = 2.75
Answer:
Step-by-step explanation:
Each atom of the gas weighs 1.67 ⋅ 10−24 grams. 6.71 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71. ... 0.67 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71 ⋅ 10−1.
Answer:
y = -1/2x + b meaning f(x) = -1/2x + b
Step-by-step explanation:
Use two points on the graph that you can find the value of or use Slope = raise/run
let use points (2,0) and (0, 1)
slope = (change in the y-value)/(change in the x-value.
slope = (1 - 0)/(0 - 2)
slope = 1/-2 or -1/2
Or starting at point (2, 0) the run(x movement) = -2 and the raise is 1.
slope = raise/run
slope = 1/-2 or -1/2
Using one point (2,0) and the slope of -1/2, substitute into the slope intersect form, y = mx + b, and solve for "b" .
y= mx + b
0 = -1/2(2) + b
0 = -1 + b
1 = b
Now write your equation: y = mx +b where m = -1/2 and b = 1
y = -1/2x +b
Answer:
Third item in the list
Step-by-step explanation:
Third function: f(x) = x + 9. If we substitute 14 for x, we get f(14) = 14 + 9 = 23.