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sleet_krkn [62]
3 years ago
15

What are the steps to simplify (5-7i)(-4-3i)?

Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
8 0
1. Distribute 5-7i×-4-3i
2. Multiply 5-7i by -4-3i
3. -20+10i
vekshin13 years ago
3 0
Add the like terms so (1)(-10i)
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Kate bought 3 used CDs and 1 used DVD at the bookstore. Her friend Joel bought 2 used CDs and 2 used DVDs at the same store. If
natka813 [3]

Answer:

Cost of 1 DVD is $6.5

Cost of one CD is $4.5

Combine cost of one DVD and CD is $11

Step-by-step explanation:

Given :

Kate bought 3 used CDs and 1 used DVD at the bookstore.

Her friend Joel bought 2 used CDs and 2 used DVDs at the same store.

Kate spent $20

Joel spent $22

To Find :  the cost of a used CD and a used DVD

Solution :

Let cost of 1 used CDs be $x

Let cost of 1 used DVDs be $y

Cost of 3 used CDs = $3x

Cost of 2 used CDs = $2x

Cost of 2 used DVDs = $2y

Kate bought 3 used CDs and 1 used DVD at the bookstore.

She spent $20

So, equation becomes :

⇒3x+y=20 ---(a)

Joel bought 2 used CDs and 2 used DVDs. she spent $22.

So, equation becomes:

⇒2x+2y=22 --(b)

Now solve (a) and (b) to determine the value of x and y

We will use substitution method

Substitute the value of x from (b) in (a)

3(\frac{22-2y}{2} )+y=20

33-3y+y=20

33-2y=20

33-20=2y

13=2y

\frac{13}{2} =y

6.5 =y

Thus cost of 1 DVD is $6.5

Now substitute this value of y in b to get value of x

⇒2x+2(6.5)=22

⇒2x+13=22

⇒2x=22-13

⇒2x=9

⇒x=\frac{9}{2}

⇒x=4.5

Thus the cost of one CD is $4.5

Hence the combine cost of one DVD and CD =  $6.5+ $4.5=$11


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3 years ago
You ask four people to the prom. If X is the number of "yes" responses, what is E(X)? Assume equal probability for
VladimirAG [237]

Answer:

e is the amount of people

Step-by-step explanation:

4 x so let’s say you have two x you have 50% of the people that said yes.

6 0
2 years ago
What is the following number in the sequence? What is the sequence's equation?<br> 9, 15, 21, 27, __
fenix001 [56]
Its going up by 6, the answer is 33
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3 years ago
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kondaur [170]

Answer:

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Step-by-step explanation:

xu x6y8z9vtgkxih 174374t6fivH tin s6d

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3 years ago
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Can someone solve m - 4m= -6 step by step please?
marta [7]

Answer:

m = 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

m - 4m = -6

<u>Step 2: Solve for </u><em><u>m</u></em>

  1. Combine like terms:                    -3m = -6
  2. Divide -3 on both sides:              m = 2

<u>Step 3: Check</u>

<em>Plug in m into the original equation to verify it's a solution.</em>

  1. Substitute in <em>m</em>:                     2 - 4(2) = -6
  2. Multiply:                                 2 - 8 = -6
  3. Subtract:                                -6 = -6

Here we see that -6 does indeed equal -6.

∴ m = 2 is the solution to the equation.

3 0
3 years ago
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