All categories

3 years ago

3x - y = 0 2x - y = 1

1 answer:

8 0

Answer: See below

Explanation:
Solve this system of equation using elimination method:

3x - y = 0
2x - y = 1
________
3x - y = 0
-1(2x - y = 1)
_________
3x - y = 0
-2x + y = -1
_________
X = -1

We know that x = -1 now let’s plug it in the one of the equation to find y:

2x - y = 1
2(-1) - y = 1
-2 - y = 1
-y = 3
y = -3

You might be interested in

two long books containing a total of 2400 pages have a ratio of 3 pages to 5 pages. how may pages are in each book?

Olegator [25]

Answer:

Here you go.

STAY SAFE, GOD BLESS YOU :)

7 0

3 years ago

App 19.study

HACTEHA [7]

Answer:

$1 \to 22 \to 0.176$

$2 \to 13 \to 0.104$

$3 \to 18 \to 0.144$

$4 \to 29 \to 0.232$

$5 \to 37 \to 0.296$

$6 \to 6 \to 0.048$

Step-by-step explanation:

Given

$n = 125$

See attachment for proper table

Required

Complete the table

Experimental probability is calculated as:

$Pr = \frac{Frequency}{n}$

We use the above formula when the frequency is known.

For result of roll 2, 4 and 6

The frequencies are 13, 29 and 6, respectively

So, we have:

$Pr(2) = \frac{13}{125} = 0.104$

$Pr(4) = \frac{29}{125} = 0.232$

$Pr(6) = \frac{6}{125} = 0.048$

When the frequency is to be calculated, we use:

$Pr = \frac{Frequency}{n}$

$Frequency = n * Pr$

For result of roll 3 and 5

The probabilities are 0.144 and 0.296, respectively

So, we have:

$Frequency(3) = 125 * 0.144 = 18$

$Frequency(5) = 125 * 0.296 = 37$

For roll of 1 where the frequency and the probability are not known, we use:

$Total \ Frequency = 125$

So:

Frequency(1) added to others must equal 125

This gives:

$Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125$

$Frequency(1) + 103 = 125$

Collect like terms

$Frequency(1) =- 103 + 125$

$Frequency(1) =22$

The probability is then calculated as:

$Pr(1) = \frac{22}{125}$

$Pr(1) = 0.176$

So, the complete table is:

$1 \to 22 \to 0.176$

$2 \to 13 \to 0.104$

$3 \to 18 \to 0.144$

$4 \to 29 \to 0.232$

$5 \to 37 \to 0.296$

$6 \to 6 \to 0.048$

3 0

2 years ago

Mr. Smith is ordering steaks to serve at a poker game with his friends. The first company charges a delivery fee of $10 plus $15

quester [9]

Answer:

Step-by-step explanation:

1. One= $25 Two= $40 Three= $55

2. One= $35 Two= $45 Three= $55

6 0

3 years ago

The measure of angle p is 49.7% . find the measure of the complement and supplement of angle p

coldgirl [10]

The complement would be 90 -49.7 degrees (note: not " % ").
The supplement would be 180 - 49.7 degrees.

7 0

2 years ago

Read 2 more answers

John can run the 100 meters dash in 16 1/5 seconds. Savanna’s best time is 19.8 seconds. How much faster is John than savanna in

Tamiku [17]

Given that

John can run 100 meters dash in 16 --------- seconds .

Savanna 's time is 19.8 seconds .

Here we have John time in mixed fraction and Savanna's time in decimal .

Converting mixed fraction into improper .

1 16 * 5 + 1 80 + 1 81

16 -------- = --------------------------- = -------------- = - -----------

5 5 5 5

Thus we got John time as 81 /5 seconds .

Converting Savanna's time in fraction , we get

19 8

---------- seconds .

We have two fractions with different denominator .

One is having denominator 5 and another is having denominator 10 .

We need to make the denominator same of both the fraction .

We need to make denominator 10 .

Multiply John fraction by 2 in both numerator and denominator by 2 to make denominator 10 .

81 * 2 162

---------- = ------------ seconds .

5 * 2 10

John is taking less time than Savanna . Thus John is faster .

Difference

198 162 36

------- - ------- = ------- seconds

10 10 10

Thus John is faster by (36/10 ) seconds = 3.6 seconds .

5 0

3 years ago