MATHEMATICS MIDDLE SCHOOL

Find the product of 5+i and 4-i​

Answers

Answer 1
Answer:

Answer:

21 - i

Step-by-step explanation:

( 5+i ) * ( 4-i )   = 5 * ( 4-i )  + i *( 4-i )

                      =   5*4 - 5*i + i*4 - i*i

                      = 20 - 5i + 4i - i²

                       = 20 - 5i +4i - (-1)                {  i² = -1 }

                       = 20 - 5i +4i + 1

                         = 21 - i

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I am two numbers, the sum of my numbers is 100, the difference between my two numbers is 30,

Answers

The two numbers are 35 and 65.

What is an equation?

Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.

For example, 2x – 5 = 13.

Given that, two numbers, their sum is 100 and the difference between them is 30. We need to find the number,

Let the 2 numbers be x and y.

y = x + 30

Sum of the two numbers = 100

x + y = 100

x + (x + 30) = 100        

2x = 70

x = 35

y = x + 30 = 65

Hence, the two numbers are 35 and 65.

Learn more about equation, click;

brainly.com/question/29657983

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Let the 2 numbers be x and y.
y = x + 30 ( as the difference between the two numbers is 30)
Sum of the two numbers = 100
=> x + y = 100
=> x + (x + 30) = 100                                            ( as y = x + 30 as shown above )
=> 2x = 70
=> x = 35
     y = x + 30 = 65
Hope I helped! you may comment here if you have any further doubts and i will answer them :)

8q=-10q+36

What is the value of q

Answers

8q+10q=36 \n \n 18q=36 \n \n \n q=2
Good Luck ! =) 

q=2 you add 10q to both sides and 8q+10q= 18q and 18q/36 is 2

What is 1/4 * 4x + 8

Answers

X+2 is the correct answer

Write this in scientific notation: 52,739

Answers

Scientific notion always has a number times 10 to the power of something.

So

5.2739 * 10^4

Now if you had to round then it would become

5.3 * 10^4
5.2739 x 10^(4) or 5.3 x 10^(4)

What is the probability of selecting a red card from a standard deck of 52 playing cardships that does not contain a joker?

Answers

We know that the deck of cards contain half red and half black cards or you can say we have 26 red cards and 26 black cards.
we have to find probability of red cards from a deck of cards
so,
probability (selecting red card) = (26)/(52)
                                                     = (1)/(2)

Probability ( selecting red card ) =  (1)/(2) Answer
1/2. half of the cards(26 out of 52) are red. you can reduce 26/52 to 1/2.

In 1984, a 12-ounce box of cold cereal cost $0.89. In 2008, an 18-ounce box of the same cereal sold for $3.29. How much more was the cost of the cereal per ounce in 2008 than in 1984? Explain

Answers

Well, we can just divide them.

0.89 / 12 is approximately $0.07

3.29 / 18 is approximately $0.18

0.18 - 0.07 = $0.11

So the cost of cereal in 2008 is 11 cents more per ounce than the cereal in 1984.
Firstly we need to find out how much is worth 1 ounce of cold cereals both in 1984 and 2008. Do do that we may just divide both numbers by 12:

0.89 ÷ 12 ≈ 0.07 (I rounded it to the neaerest cent as we're talking about money anyway)
3.29 ÷ 18 ≈ 0.18

So in 1984 one ounce costed $0.07, while in 2008 it costed $0.18.

To find out how much more was it in 2008, we just need to do the substraction:

$0.18 - $0.07 = $0.11

Answer: The cost of the cereals per ounce was bigger in 2008 than in 1984 by $0.11.
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