Choose the letter corresponding to the best answer which is a true statment

Solve the system of equations by substitution. What is the product of x and y from the solution? 2x + 3y = 12 5x − y = 13

Darina [25.2K]

2x + 3y = 12 (1st)

5x − y = 13 (2nd) ---> y = 5x - 13

Substitute y = 5x - 13 into (1st) equation

2x + 3(5x - 13) = 12

2x + 15x - 39 = 12

17x - 39 = 12

17x = 51

x = 3

substitute x = 7 into y = 5x - 13

y = 5x - 13

y = 5(3) - 13

y = 15 - 13

y = 2

Answer

solution x = 3 and y = 2

5 0

3 years ago

Can someone help me? I’ll reward points + brainalist

IceJOKER [234]

<h2>Answer:</h2><h2>2) B. 30</h2><h2>3) B. a triangle with measurements of 2, 3 and 5 inches .</h2>

Step-by-step explanation:

2) 85° = (3x - 5)° [Vertically Opposite Angles]

=> 3x - 5 = 85

=> 3x = 85 + 5

=> 3x = 90

$= > x = \frac{90}{3}$

=> x = 30

Hence,

Required value of x is 30

3) B. a triangle with measurements of 2, 3 and 5 inches

AS,

Here,

2 + 3 = 5.

And according to Triangle Inequality Property measurement of any two sides of the triangle should be greater than the third side. 

So a triangle can't be made.

8 0

3 years ago

Round each number to the nearest hundredth.

Gwar [14]

Your answer is a hope this helps

4 0

3 years ago

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HELP PLEASEEEEE

cestrela7 [59]

Answer:

Option D

Step-by-step explanation:

Given are the four options and we have to select the one which is not good defintion.

A)A whole number is even if and only if it is divisible by 2.

--- Is correct definition of even number.

B. A whole number is odd if and only if the number is not divisible by 2.

--- Correct definition

C. An angle is straight if and only if its measure is 180.

... correct definition

D. A ray is a bisector of an angle if and only if it splits the angle into two angles

... This is incorrect because congruent/equal angles should be there

Correct definition is

A ray is a bisector of an angle if and only if it splits the angle into two congruent angles

5 0

3 years ago

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Probability Question

trapecia [35]

Answer:

39/812

Step-by-step explanation:

The total no. of balls is 6+7+8+9 = 30.

There are 4 possible outcomes that fits "all 3 balls taken are of the same color": 1. all red balls/2.all green balls / 3. all blue balls/4. all white balls. Either one will do. So the required probability is the sum of probability that these 4 outcomes happen.

First lets find the probability of taking out all red balls.

There are total 30 balls, but only 6 are red, so in the first try, the probability of taking out a red ball is 6/30.

In the 2nd time, since you have already taken out one red ball, the no. of red balls left is 5, and the total no. of balls is 29. So the probability of taking out another red ball is 5/29.

This repeats for the 3rd time. The probability of taking out the 3rd red ball is 4/28.

These 3 times all have to happen in order, so the total probability is

6/30 x 5/29 x 4/28

=1/203

Now find the probability of taking out all green balls. The process is same from finding the probability of taking out all red balls, just that replace 6 to 7 instead.

So, the probability of taking out all green balls is

7/30 x 6/29 x 5/28

=1/116

Repeat again for blue balls and white balls.

Probability of taking out all blue balls = 8/30 x 7/29 x 6/28 = 2/145

Probability of taking out all white balls= 9/30 x 8/29 x7/28 =3/145

Now add all 4 fractions up.

1/203 + 1/116 + 2/145 + 3/145

=39/812

By the way, another method is to use combination "nCr". You will also get the same answer.

n: number of items

r: number of items being chosen at a time

(Probability of all red balls + Probability of all green balls + probability of all blue balls + probability of all white balls)÷Total no. of combinations - which is random 3 balls out of 30.

(6C3 + 7C3 + 8C3 +9C3) / (30C3)

= 39/812

8 0

3 years ago

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