✩ Answer:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
✩ Step-by-step explanation:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
✺ Divide both sides by −3. Since −3 is negative, the inequality direction is changed:
- -3 ÷ -3 = Cancels Out
- Turns into:
✺ Divide −9 by −3 to get 3. Since they are both negatives it turns into a positive:
- -9 ÷ -3 = 3
- Turns into:
✺ Swap sides so that all variable terms are on the left hand side. This changes the sign direction once more:
- Turns into:
✺ Add 2 to both sides:
- Turns into:
✺ Add 3 and 2 to get 5:
- 3 + 2 = 5
- Turns into:
✺ Divide both sides by 5. Since 5 is positive, the inequality direction remains the same:
- 5 ÷ 5 = Cancels Out
- Turns into:
✺ Divide 5 by 5 to get 1:
✺ So your answer is B, 
.
(Number line is below.)
Answer:
b=-7
Step-by-step explanation:
Simplifying
99 = 2(-7b + -3) + 7
Reorder the terms:
99 = 2(-3 + -7b) + 7
99 = (-3 * 2 + -7b * 2) + 7
99 = (-6 + -14b) + 7
Reorder the terms:
99 = -6 + 7 + -14b
Combine like terms: -6 + 7 = 1
99 = 1 + -14b
Solving
99 = 1 + -14b
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '14b' to each side of the equation.
99 + 14b = 1 + -14b + 14b
Combine like terms: -14b + 14b = 0
99 + 14b = 1 + 0
99 + 14b = 1
Add '-99' to each side of the equation.
99 + -99 + 14b = 1 + -99
Combine like terms: 99 + -99 = 0
0 + 14b = 1 + -99
14b = 1 + -99
Combine like terms: 1 + -99 = -98
14b = -98
Divide each side by '14'.
b = -7
Simplifying
b = -7
Answer:
x^2+y^2+z^2-10x-6y-10z +50 =0
Step-by-step explanation:
Given that a sphere is contained in the first octant
Centre of the sphere is given as (5,3,5)
Since this is contained only in the first octant radius should be at most sufficient to touch any one of the three coordinate planes
When it touches we can get the maximum sphere
We find that y coordinate is the minimum of 3 thus radius can be atmost 3 so that then only it can touch y =0 plane i.e. zx plane without crossing to go to the other octants.
Hence radius =3
Equation of the sphere would be
The possible outcomes for the coin is 2 out of 1 since a coin has 2 sides the coin may only land on 1 side but the chances are between both sides having a 50/50 chance to land on either side.
The two equations are
and
the first equation can be solved for x to be
next you can substitute x in the second equation
Distribute 4 to everything in the parentheses
combine like terms:
subtract 28 from both sides of the equation
divide both sides by -1.5
plug this in to the original equation of x+y=7
subtract 4 from both sides.
Final Answer: they bought 3 adult tickets and 4 student tickets
Hope this helps!
