Simplify the expression (3+i)-(2-2i)

Answers

Answer 1
Answer: (3+i)-(2-2i)
Combine like terms
Final Answer: 1+3i
Answer 2
Answer: After using the FOIL method/ distributive property, we get a siimpler expression of 1+3i. Hope it helped. :)

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adult tickets cost $10 and children's tickets to a show cost $5. if the number of children's tickets was twice the number of adult tickets, how many of each type of tickets was sold if $800 was collcted in tickets sales? ( make sure you write a legend stating what your variable represents)

Answers

x=amount of children tickes sold
y=amount of adult tickets sold

2 times of children as adult
x=2y

total cost is 800
5x+10y=800
divide both sides by 5
x+2y=160
x=2y
2y+2y=160
4y=160
divie by 4
y=40

x=2y
x=2(40)
x=80


80 children tickets
40 adult tickets

Can someone please help with NUMBER 7?!! It’s my last one I will mark brainliest to the best answer

Answers

Answer:

1, 3, 9, 27

Step-by-step explanation:

a_n = 3^(n - 1)

You need the first 4 terms, so let n = 1, and evaluate the expression. Then do the same for n = 2, n = 3, and finally n = 4.

n = 1

a_1 = 3^(1 - 1) = 3^0 = 1

n = 2

a_2 = 3^(2 - 1) = 3^1 = 3

n = 3

a_3 = 3^(3 - 1) = 3^2 = 9

n = 4

a_4 = 3^(4 - 1) = 3^3 = 27

Find the product of (-12) and (3).
-36
-4
4
36

Answers

A negative multiplied by a positive ALWAYS results in a negative. To make things simpler, you could multiply 12 by 3 to get 36, and then add on a negative afterwards. Otherwise, you can use your integer rules or a calculator. Any way you do it, the answer will be -36.
it would be -36 because a negative times by a positive is a negative

Circle d has a radius of 21 millimeters and central angle, ∠edf, which measures 60°. find the exact length of . mm 7mm 14mm 42mm

Answers

the length of an arc length can be calculated using the formula:
s = ra
where s is the lenght of the arc
and r is the radius of the circle
a is the central angle in radians

first converts degrees to radians
a = 60 ( pi / 180)
a = pi /3 =1.05

s = 21(1.05)
s = 22 mm is the length of the arc

Answer:

7π mm

Have a good day!

Three consecutive intergers have a sum of 234. What are the three intergers

Answers

First thing you need to do is divide 234 by 3. Next, put your quotient in the middle of the other 2 numbers, which should be 1 less and 1 more than your quotient to the answer. Let me explain. 234 divided by 3= 78. Therefore, your answer is 77,78,79. (Integers are whole numbers above zero)
x+x+1+x+2=234
3x+3=234
3x=231
x=77
x+1=78
x+2=79

Can someone help me and explain the equation

Answers

Answer:

Jason would have to work 60 hours.

Step-by-step explanation:

The equation you would use would be 450 + 12.50t = 1200.

1200 is the money needed, 450 is a constant factor, but the 12.50 changes depending on how many hours Jason works.

You will have to use inverse operations so you would go 450 + 12.50t - 450 = 1200 - 450. That equals 12.50t = 750. Then you divide 12.50 by 750 because 12.50t is multiplying. 750 ÷ 12.5 = 60. So Jason has to work 60 hours!

If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!