Let's solve this problem step by step.
−2(1−3x)=22−3(x−13)
Step 1: Simplify both sides of the equation.
(−2)(1)+(−2)(−3x)=22+(−3)(x)+(−3)(−13)(Distribute)
−2+6x=22+−3x+39
6x−2=(−3x)+(22+39)(Combine Like Terms)
6x−2=−3x+61
Step 2: Add 3x to both sides.
6x−2+3x=−3x+61+3x
9x−2=61
Step 3: Add 2 to both sides.
9x−2+2=61+2
9x=63
Step 4: Divide both sides by 9.
9x/9=63/9
So, the answer to this problem is x=7.
Answer:
72 units
Step-by-step explanation:
SA=2lw+2lh+2hw
SA=2(8x2) + 2(8x2) + 2(2x2) Note, Not distributive
SA= 2(16) + 2(16) + 2(4)
SA= 32 + 32 + 8
SA= 72
Answer:
A: 15
Step-by-step explanation:
The angles are opposite to each other.
Vertically opposite angles are equal in size.
Put up an equation and solve for a.
6a + 10 = 3a + 55
Subtract 3a and 10 on both sides.
6a - 3a = 55 - 10
Combining like terms.
3a = 45
Divide both sides by 3.
a = 45/3
a = 15
The value of a is 15.
Write the system of equation based on the problem
"A total of 345 tickets that consists of adult tickets and students ticket were sold" could be written as:
∴ a + s = 345 <em>(first equation)</em>
"<span>the number of student tickets sold was two times the number of adult tickets sold" could be written as:
</span>∴ s = 2a <em>(second equation)</em>
<span>
Solve the system of equation
Substitute 2a as s in the first equation
a + s = 345
a + (2a) = 345
3a = 345
a = 345/3
a = 115
There are 115 adult tickets sold.</span>
