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defon
3 years ago
13

If a * b + 5 *a + 3 * b + 15= 24 and a+ 3 =6 then what is the value of a+b​

Mathematics
1 answer:
Semmy [17]3 years ago
7 0

Answer:

a +b = 2

Step-by-step explanation:

a +3 = 6

    a = 6 -3

   a = 3

Plugin  a =3 in the equation,

a*b +5*a +3*b + 15 = 24

3b + 5*3 + 3b + 15 = 24

3b + 15  + 3b + 15 = 24      {combine like  terms}

3b + 3b + 15 + 15 = 24

             6b  + 30  = 24           {Subtract 30 from both sides}

                       6b = 24 -30

                      6b = -6               {divide both sides by 6}

                         b = -6/6

b = -1

a + b = 3 + ( -1)

         = 2

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You enter a chess tournament where your probability of winning a game is 0.3 against half the players (call them type 1), 0.4 ag
Doss [256]

The probability of winning is 0.44 .

<u>Step-by-step explanation:</u>

Here it's given that , You enter a chess tournament where your probability of winning a game is 0.3 against half the players (call them type 1), 0.4 against a quarter of the players (call them type 2), and 0.5 against the remaining quarter of the players (call them type 3). You play a game against a randomly chosen opponent. More precisely :

Probability(type1) = 0.3\\Probability(type2) = 0.4\\Probability(type3) = 0.5\\\\Probability(winning) = w

Now, we choose a random opponent and we need to find probability of winning which is possible as :

<u>1. player chosen from type1</u>

<u>2. player chosen from type2</u>

<u>3. player chosen from type3</u>

Combining all cases we get :

⇒ w = type1(1-type2)(1-type3) + (1-type1)type2(1-type3) + (1-type1)(1-type2)type3

⇒ w = 0.3(0.6)(0.5)+0.7(0.4)(0.5)+0.7(0.5)(0.6)

⇒ w = 0.44

∴ The probability of winning is 0.44 .

8 0
3 years ago
Which inequality represents this sentence?
Lynna [10]

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Inequality simply means a mathematical expression that is used in which the sides aren't equal to each other.

It should be noted that the expression that a number is no less than 48 means the number is greater than 48. Therefore, the inequality is n > 48.

Read related link on:

brainly.com/question/25701252

8 0
3 years ago
3 2/5 -pound bag of yarn costs $5.25. What is the unit rate? Round to the nearest cent.
vova2212 [387]

Answer:

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Step-by-step explanation:

The

3 \frac{2}{5}

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To find the unit rate, we divide 5.25 by

3 \frac{2}{5}

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To the nearest tenth,each pound costs $1.54 to the nearest cent.

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3 years ago
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Elanso [62]
GRETA :

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RICHARD :

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