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slamgirl [31]
3 years ago
8

Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number.

Mathematics
1 answer:
spin [16.1K]3 years ago
6 0
Assume that the number is x:

2/3 of x take off 11 = 4x

Transform into numerical / algebraic form:

2/3 * x - 11 = 4x

Next multiply both sides by 3 to get rid of the fraction:

2 * x - 33 = 12x

Simplify:

2x - 33 = 12x

Isolate 2x by adding 33 to both sides:

2x = 12x + 33

Isolate 33 by taking 12x off both sides:

-10x = 33

Divide both sides by -10 to get the value of x:

x = 33/-10 (or x = -3.3)

Therefore the number is -3.3
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write two additional sentences where the sum is negative. in each sentence one added should be positive and the other
Goshia [24]
10 + (-5) = 10 - 5 = 5

-11 + 20 = 20 + (-11) = 20 - 11 = 9

102 + (-1) = 102 - 1 = 101

<span>-20 + 60 = 60 + (-20) = 60 - 20 = 40 </span>
6 0
3 years ago
Here is a table showing all 52 cards in a standard deck.
stepan [7]

We want to find the probability of drawing 3 red cards from a deck of 52 cards.

We will find that the probability is P = 0.1176

Let's see how to get that probability.

We know that a standard deck of 52 cards has:

  • 26 red cards
  • 26 black cards

And we assume that all the cards have the same probability of being drawn. Then the probability of drawing a red card in the first draw is just the quotient between the number of red cards and the total number of cards, we get:

p₁ = 26/52

For the second draw, we compute the probability in the same way, but now there are 25 red cards in the deck and 51 cards in total (because one is already drawn). Then the probability in this case is:

p₂ = 25/51

Finally, for the third card, we have 24 red cards and 50 total cards, then the probability will be:

p₃ = 24/50

The joint probability (the probability of drawing the 3 red cards in the same event) is the product of the individual probabilities.

P = p₁*p₂*p₃ = (26/52)*(25/51)*(24/50) = 0.1176

If you want to learn more, you can read:

brainly.com/question/10224828

8 0
3 years ago
Please get this problem correct. Please explain and make it easy to understand.
mezya [45]

<u>9</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>solution</u><u>.</u>

Answer:

Solution given:

2x+10=28

subtracting both side by 10

2x+10-10=28-10

2x=18

dividing both side by 2

2x/2=18/2

x=9

4 0
3 years ago
Read 2 more answers
A survey indicates that there are approximately 120 dairy farms in a given area. If there are exactly 400 farms, and exactly 20%
inna [77]

Answer:

120 out of 400 does not equal 20%

it equals 30%

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
HELP PLS ITS DUE TOMMAROW ILL GIE BRAINLIST FOR THE CORRECT ANSWER
Tasya [4]
You just need to make them all the same common denominator. do you still need help?
4 0
3 years ago
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