Answer:
25
Step-by-step explanation:
Subtract 15 from both sides then divide by 3.
X + y + z = 40x = y + 5x = 2z We can rewrite the variable information so that we can replace those with x instead:x - 5 = yx/2 = z Now that we have isolated the variables, we can put them into the equation:x + x - 5 + .5x = 40 (.5 = 1/2)2.5x - 5 = 402.5x = 45x = 18 Now that we know x, we can solve for the other variables:y = 18 - 5y = 13z = 18/2z = 9 Now to check:18 + 13 + 9 = 4018 + 22 = 4040 = 40
$6-3x<12\quad:\quad\begin{bmatrix}\mathrm{Solution:}\:&\:x>-2\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-2,\:\infty\:\right)\end{bmatrix}$6−3x<12 : [ Solution: x>−2 Interval Notation: (−2, ∞ ) ]
Steps
$6-3x<12$6−3x<12
$\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}$Subtract 6 from both sides
$6-3x-6<12-6$6−3x−6<12−6
$\mathrm{Simplify}$Simplify
$-3x<6$−3x<6
$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$Multiply both sides by −1 (reverse the inequality)
$\left(-3x\right)\left(-1\right)>6\left(-1\right)$(−3x)(−1)>6(−1)
$\mathrm{Simplify}$Simplify
$3x>-6$3x>−6
$\mathrm{Divide\:both\:sides\:by\:}3$Divide both sides by 3
The Formula For Volume Of A Cube Is v = S*S*S Or v = s^3. So:
16*16 = 256. 256*16= 4096. The Volume Is 4096 yds. ^3 Hope This Helps!