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balu736 [363]
2 years ago
6

****BRAINLIEST GOES TO THE FIRST CORRECT ANSWER****

Mathematics
1 answer:
Drupady [299]2 years ago
5 0

The two equations are vertical angles, which mean they are equal.

Set each equation to equal each other and solve for x.


3x-3 = 6(x-10)

Simplify the right side:

3x-3 = 6x-60

Subtract 3x from each side:

-3 = 3x - 60

Add 60 to each side:

57 = 3x

Divide both sides by 3:

x = 57 / 3

x = 19



You might be interested in
In a standard 52-card deck, half of the cards are red and half are black. The 52 cards are divided evenly into 4 suits: spades,
liubo4ka [24]

Answer:

It is more likely she draws 2 red cards

Step-by-step explanation:

Given that:

Number of red d cards in deck = 26

Number of face cards = 4 * 3 = 12 face cards

If two cards are drawn with replacement ;

Probability = (required outcome / Total possible outcomes)

P(1st card red) = 26 /52) = 1/2

P(2nd card red) = 26 /52 = 1/2

P(1st card red) * P(2nd card red)

1/2 * 1/2 = 1/4 = 0.25

P(1st card face card) = 12/52 = 3/13

P(2nd card, face card) = 12/52 = 3/13

P(1st card face card) * P(2nd card face card)

3/13 * 3 /13 = 9/169 = 0.053

0.25 > 0.053

It is more likely she draws 2 red cards

6 0
3 years ago
Lan Ventor designs a new board game and offers the design to Paddington Games p.l.c.
Andrej [43]

In order to make the offer attractive such that it would earn £25,000 for Ian Vector, Paddington Games would have to sell 460 games.

The game can be sold for £25,000 or for £2,000 and then a fee of £50 for every game sold.

In order for the amount to be the same, the amount from games sold will have to equal the difference between the £25,000 and the £2,000.

Difference is:

= 25,000 - 2,000

= £23,000

The <u>number of games to be sold</u> is:

= Difference / Amount per game

= 23,000 / 50

= 460 games

In conclusion, 460 games need to be sold to make the offer attractive.

<em>Find out more at brainly.com/question/2865277.</em>

5 0
1 year ago
2. (08.05 HC)
4vir4ik [10]

Answer:

option 3

Step-by-step explanation:

not sure if right

8 0
2 years ago
An author is writing and illustrating a new book. The ratio of pages with text to pages with illustrations is represented in the
Nitella [24]

Answer:

Th number of pages is 33

Step-by-step explanation:

The ratio of the number of pages of text shown in the  illustration is 3:2. This implies that for every 2 pages of illustrations, there are 3 pages of text. Therefore, for 22 pages of illustration we shall have;

2 page of illustration = 3 page of text

Then

22 page of illustration  =  x pages of text

Then by Cross multiplication

22 \times 3 = x \times 2

66 = 2x

x =\frac{66}{2}

x = 33

4 0
2 years ago
Read 2 more answers
The average distance from Earth to the sun is about 9.3×10^7 miles. The average distance from Mars to the sun is about 1.4×10^8
diamong [38]

Move the decimal to the right (you go to the right since the exponent is positive, if the exponent was negative then you would move left) seven times, giving you 9,300,000 miles (for Earth). You then do the same with the next equation, giving you 140,000,000 miles (for Mars).

Finally, to find the official number of miles, you simply work the equation 140,000,000 - 9,300,000 .. giving you 130,700,000 miles.


If your teacher wants you to put it back into exponential form, then you first make the number into a decimal that is greater than one and less than ten.


1.30700000


Then, what you want to do is count all of the zeros as a single exponent, giving you 5, but we're not done yet. To get the correct answer, you have to also count the numbers until you reach the decimal. Remember to take out the zeros, because they're not really necessary anymore!


1.307×10^{8}

5 0
3 years ago
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