6*40=240. 4*40=160. 240*160=38400. 38400 is your answer.
Answer:
x is any number less than -64; i.e. -66
Step-by-step explanation:
Inequality
3x + 23y - 15 < 0
where point (x,9) satisfies this
Substitute 9 for y
3x + 23(9) - 15 < 0
3x + 207 - 15 < 0
3x + 192 < 0 Take away 192 from both sides
3x < -192 Divide both sides by 3 to isolate x
x < -64
Check:
3(-64) + 23(9) -15 < 0
-192 + 207 - 15 < 0
-192 + 192 < 0
Therefore x must be less that -64 to satisfy the point (x, 9) in this inequality.
Answer:
t = 139/490 + sqrt(75671)/490 or t = 139/490 - sqrt(75671)/490
Step-by-step explanation:
Solve for t:
4.9 t^2 - 2.78 t - 1.15 = 0
4.9 t^2 - 2.78 t - 1.15 = (49 t^2)/10 - (139 t)/50 - 23/20:
(49 t^2)/10 - (139 t)/50 - 23/20 = 0
Multiply both sides by 10/49:
t^2 - (139 t)/245 - 23/98 = 0
Add 23/98 to both sides:
t^2 - (139 t)/245 = 23/98
Add 19321/240100 to both sides:
t^2 - (139 t)/245 + 19321/240100 = 75671/240100
Write the left hand side as a square:
(t - 139/490)^2 = 75671/240100
Take the square root of both sides:
t - 139/490 = sqrt(75671)/490 or t - 139/490 = -sqrt(75671)/490
Add 139/490 to both sides:
t = 139/490 + sqrt(75671)/490 or t - 139/490 = -sqrt(75671)/490
Add 139/490 to both sides:
Answer: t = 139/490 + sqrt(75671)/490 or t = 139/490 - sqrt(75671)/490
Answer:
$11.25
Step-by-step explanation:
1.5×7.5=11.25
