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Law Incorporation [45]
3 years ago
11

3x = 27 + 3y 3x - 10y = 27 please explain how you got the answer.

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
3 0

Answer:

Hi there!

Your answer is:

Y= 0

X= 9

Step-by-step explanation:

3x=27+3y

3x-10y=27

Solve one of them for Y

I chose the first equation

3x=27+3y

-27

3x-27=3y

/3

x-9 = y

NOW, plug y in the second equation!

3x-10y=27

y= x-9

3x-10y=27

3x-10(x-9) = 27

Solve for x!

3x-10x+90 = 27

-7x + 90 =27

-90

-7x = -63

/-7

x= 9

FINALLY, plug back in x for y equation

y=x-9

x=9

y=9-9

y=0

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3 years ago
Determine what the next number in the sequence should be. 99.5, 98.5, 97, 95, 92.5, 89.5?
otez555 [7]

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87.5

Step-by-step explanation:

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8 0
4 years ago
Y=(x-1)^2-9 standard form
dezoksy [38]

Answer:

Y=x^2-2x-8

Step-by-step explanation:

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6 0
3 years ago
On a cm grid, point P has coordinates (3,-1) and point Q has coordinates (-5,6) calculate the shortest distance between P and Q
BartSMP [9]

Answer:

10.63cm

Step-by-step explanation:

The formula for calculating the distance between two coordinate is expressed as;

D = √(x2-x1)²+(y2-y1)²

Given the coordinates (3, -1) and (-5, 6)

D = √(-5-3)²+(6-(-1))²

D = √(-5-3)²+(6+1)²

D = √(-8)²+(7)²

D = √64+49

D = √113

D = 10.63cm

Hence the shortest distance between P and Q is 10.63cm

5 0
3 years ago
When rolling two dice what is the probability of rolling a sum of six or two even numbers.
MAVERICK [17]

The probability of rolling a sum of six or two even numbers.

is P = 1/3

<h3>How to find the probability?</h3>

Here we are rolling two dice, and each dice has 6 possible outcomes, then the total number of outcomes is:

6*6 = 36

Now, the outcomes that given a sum of 6 are:

dice 1    dice 2.

1              5

5              1

2              4

4              2

3             3

We have 5 outcomes there.

The outcomes where both numbers are even are:

dice 1    dice 2.

2             2

2             4

4             2

4             4

4            6

6             2

6             4

6             6

We have 8 outcomes here (such that 2 are in the ones we counted before).

Then the total number of outcomes that either add to 6 or have both even numbers are:

5 + 8 - 2 = 12

Then 12 out of 36 outcomes either add to 6 or have both even numbers, this means that the probability is:

P = 12/36 = 1/3

If you want to learn more about probability:

brainly.com/question/25870256

#SPJ1

7 0
2 years ago
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