Answer:
x = 8
Step-by-step explanation:
Simplifying
9x + -25 = 5x + 7
Reorder the terms:
-25 + 9x = 5x + 7
Reorder the terms:
-25 + 9x = 7 + 5x
Solving
-25 + 9x = 7 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
-25 + 9x + -5x = 7 + 5x + -5x
Combine like terms: 9x + -5x = 4x
-25 + 4x = 7 + 5x + -5x
Combine like terms: 5x + -5x = 0
-25 + 4x = 7 + 0
-25 + 4x = 7
Add '25' to each side of the equation.
-25 + 25 + 4x = 7 + 25
Combine like terms: -25 + 25 = 0
0 + 4x = 7 + 25
4x = 7 + 25
Combine like terms: 7 + 25 = 32
4x = 32
Divide each side by '4'.
x = 8
Simplifying
x = 8
Answer:
5X + 8Y >= 300; intersection at (-20, 50)
Step-by-step explanation:
let t = work hours
0 < t < 30
X = time lawn mowing
Y = time babysitting.
X + Y < 30
5X + 8Y >= 300
We could solve...
X < 30 - Y
5(30 - Y) + 8Y >=300
150 - 5Y + 8Y >= 300
3Y >=150
Y >=50
then X < -20
intersection at (-20, 50)
Answer:
+120/169 or -120/169
Step-by-step explanation:
- let
where, alpha is some angle that satisfies the assumed condition.
- so,
[ taking cos to the other side or applying cos on both sides]
- now, substitute this in the given expression
as sin =
[by general trigonometry formula: ]
so if , we can get sin from the above formula as + or - 12/13
(because, after taking square root on both sides we keep + or -]
- as, sin
[by general trigonometry formula]
- here, now
so, the final value can be 120/169 or -120/169.
6 people because there is 2 times as many humans compared to pets. so 3 x 2 = 6!
Answer:
Step-by-step explanation:
3³×6³×2³ = 3³×2³×6³ = (3×2)³×6³ = 6³×6³ = 6⁶