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Varvara68 [4.7K]
3 years ago
13

Find the sum of (1/2x +4) and (0.5x - 6)

Mathematics
1 answer:
babymother [125]3 years ago
7 0
( x/2 + 4 ) + ( 0.5x - 6 )
= x - 2
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The American flag is customarily made with its width and length in the ratio of 10 to 19. Which of the following dimensions is i
saul85 [17]
You have not provided the options, therefore, I cannot give an exact answer. However, I can help you with the procedures.

We are given that the ratio between the width and the length of the flag is 10 to 19.
This means that:
\frac{width}{length} =  \frac{10}{19}

Therefore, to get the correct choice, all you have to do is divide the width by the length, if the result is 10/19, then the dimensions given are correct.

Examples:
For length = 190 and width = 100,
width / length = 100 / 190 = 10 / 19 .........> correct choice

For length = 1.9 and width = 1,
width / length = 1 / 1.9 = 10 / 19 .......> correct choice

Hope this helps :)
3 0
3 years ago
What is the solution to the expression –2 – 3 – (–4)?
Contact [7]
-2 - 3 -(-4)= -2 - 3 + 4
-2 - 3 + 4
-5 + 4
= -1
7 0
4 years ago
Read 2 more answers
Simplify the expression given below.<br> (732 - 83 + 21) + (-1363 - 11.2 + 133 + 19)
Vera_Pavlovna [14]

Answer:

732−83+21−1363−11.2+133+19= −552.2

8 0
3 years ago
Read 2 more answers
(3-4i)(6i+7)-(2-3i)
Sergeu [11.5K]

Answer:

43-7i

Step-by-step explanation:

We are given the expression:

\displaystyle \large{(3 - 4i)(6i + 7) - (2 - 3i)}

First, expand 3-4i in 6i+7. To expand binomial with binomial, first we expand 3 in 6i+7 then expand -4i in 6i+7.

\displaystyle \large{[(3 \cdot 6i) + (3 \cdot 7) + ( - 4i \cdot 6i) + ( - 4i \cdot 7)]- (2 - 3i)}  \\  \displaystyle \large{[18i + 21  - 24 {i}^{2}  - 28i]- (2 - 3i)}

Now combine like terms.

\displaystyle \large{[ - 10i+ 21  - 24 {i}^{2} ]- (2 - 3i)}

<u>I</u><u>m</u><u>a</u><u>g</u><u>i</u><u>n</u><u>a</u><u>r</u><u>y</u><u> </u><u>U</u><u>n</u><u>i</u><u>t</u>

\displaystyle \large{i =   \sqrt{ - 1} } \\ \displaystyle \large{ {i}^{2}  =   - 1 }

Therefore:-

\displaystyle \large{[ - 10i+ 21  - 24  ( - 1) ]- (2 - 3i)}  \\   \displaystyle \large{[ - 10i+ 21   + 24]- (2 - 3i)}  \\   \displaystyle \large{[ - 10i+ 45]- (2 - 3i)}

Then expand negative sign in 2-3i; remember that negative times negative is positive and negative times positive is negative.

\displaystyle \large{- 10i+ 45 -  (2 - 3i)}  \\   \displaystyle \large{- 10i+ 45 -  2 + 3i}

Combine like terms.

\displaystyle \large{43 - 7i}

5 0
3 years ago
A glider flies 13 miles north from the airport and then 24 miles diagonally southeast. Approximately how far west does the glide
NISA [10]

Answer:

20.2 miles

Step-by-step explanation:

This can be described by the three sides of a right angled triangle. Let the distance of the glider to the airport be represented by x, applying the Pythagoras theorem:

/hyp/^{2} = /adj1/^{2} + /adj2/^{2}

/24/^{2} = /x/^{2} + /13/^{2}

576 = x^{2} + 169

x^{2} = 576 - 169

   = 407

x = \sqrt{407}

  = 20.1742

x = 20.2 miles

The glider has to fly 20.2 miles to return to the airport.

8 0
3 years ago
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