Answer:
Step-by-step explanation:
[1] 3x - 4y = -24
[2] -x - 16y = -52
Graphic Representation of the Equations :
-4y + 3x = -24 -16y - x = -52
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -16y + 52
// Plug this in for variable x in equation [1]
[1] 3•(-16y+52) - 4y = -24
[1] - 52y = -180
// Solve equation [1] for the variable y
[1] 52y = 180
[1] y = 45/13
// By now we know this much :
x = -16y+52
y = 45/13
// Use the y value to solve for x
x = -16(45/13)+52 = -44/13
Solution :
{x,y} = {-44/13,45/13}
Answer:
Pretty sure its B.
Step-by-step explanation:
Because in just learned it.
Answer:
base length = 19 cm , height = 12 cm
Step-by-step explanation:
Area formula : A = (1/2)*b*h
b = h + 7 cm
A = 114 sq. cm
114 = (1/2) * (h + 7) *h
228 = hh + 7h
hh + 7h - 228 = 0
h = -7/2 + root( 49 - 4*(-228)) /2
h = -7/2 + 31/2
h = 24/2 = 12 cm
base = 12 cm + 7 cm = 19 cm
3) 2,000.376 inches of water
4) 30.375 for 1 box, 91.125 inches for all three
5) 4,536 feet
6) 24 feet
Answer:
5 laps
Step-by-step explanation:
We can use ratios to solve
3 minutes 15 minutes
----------------- = ------------------------
1 lap x laps
Using cross products
3x = 15
Divide each side by 3
3x/3 = 15/3
x = 5
He can do 5 laps