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2 years ago

Figure out the answer to this question.

Mathematics

2 answers:

pickupchik [31]2 years ago

8 0

5x-3y=9--(1)
4x-2y=12=>2x-y=6--(2)

Doing eq(2)×3

$\\ \tt\hookrightarrow 6x-3y=18$

Subtracting from eq(1)

$\\ \tt\hookrightarrow -x=-9$

$\\ \tt\hookrightarrow x=9$

Put in eq(2)

$\\ \tt\hookrightarrow 2(9)-y=6$

$\\ \tt\hookrightarrow y=12$

frutty [35]2 years ago

3 0

Answer:

(9, 12)

Step-by-step explanation:

Given system:

5x - 3y = 9
4x - 2y = 12

Solve by elimination, multiply the second equation by - 3/2 and add with the first one:

5x - 3y - 6x + 3y = 9 - 18
- x = - 9
x = 9

Find y:

5*9 - 3y = 9
45 - 3y = 9
3y = 45 - 9
3y = 36
y = 12

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a game where two players each throw two dice each. if any one die matches the other, you win a dollar. if there is no match, you

nadezda [96]

Yes, I would play the game, because the probability of winning is 13/18.

Probability:

Probability refer the possible occurrence of any particular event.

Given,

A game where two players each throw two dice each. if any one die matches the other, you win a dollar. if there is no match, you lose a dollar.

Here we need to find whether we able to play this one or not.

To find that one, first, we have to identify the winning scenarios,

Let us consider five winning scenarios. Lets represent the dice outcomes as A, B, C, and D, where your dice are A and B and the other player's are C and D. The five scenarios are:

1) A = B

2) A = C

3) A = D

4) B = C

5) B = D

We know that the total possible outcomes is 6^4. We can go through each scenario and count the possible outcomes. We must be careful to avoid overcounting.

Based on this,

The probability that none match is

=> 6*5*4*3/6^4

=> 360 / 1296

=> 5 / 18

So, probability of winning is,

=> 1 - 5/18

=> 13/18.

So, based on the probability the chance of winning is high. So, we can play it.

To know more about Probability here.

brainly.com/question/11234923

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5 0

1 year ago

You are designing a container in the shape of a cylinder. The radius is 6 inches. You want the container to hold at least 324π c

goldfiish [28.3K]

Answer: 9 inches

Explaination: The volume of a cylinder, V = (πr^2)H, so H = V/(πr^2).

Using the parameters you specified, H = 324π/[(π)(6^2)] = 324π/36π = 324/36 = 9 inches

4 0

3 years ago

Deepak wrote out the steps to his solution of the equation StartFraction 5 Over 2 minus 3 x minus 5 plus 4 x equals negative Sta

Anna35 [415]

Answer:

Step 1 is incorrect.

Step-by-step explanation:

The given expression is :

$\dfrac{5}{2}-3x-5+4x=\dfrac{-7}{4}$

In step 1, Deepak rearranged the terms in order to simplify like terms together that is followed in step 2.

o, rearranging of the terms of an expression is commutative property and not distributive property. The distributive property is generally applicable to multiplication and is given as:

$x(y+z)=xy+yz$