All categories

3 years ago

Need help finding out what 3x=y and x-2y = 10

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

4 0

Answer:

x=-2, y=-6

Step-by-step explanation:

Simple substitution.

Since y is isolated in one of the equations already, you can plug it into the second equation.

x - 2(3x) = 10

x - 6x = 10

-5x = 10

x = -2

Sub. x = -2 into 3x = y:

3(-2) = y

y = -6

You might be interested in

Select Yes or No to indicate whether each of the ordered pairs is most likely a solution to the equation represented by the grap

maria [59]

Yes, yes, no I believe

7 0

3 years ago

With a little care, you can find the median and the quartiles from the histogram. what are these numbers? you can also find the

coldgirl [10]

Complete Question

The histogram from this question is shown on the first uploaded image

Answer:

The first quartile is $1st Q = 19^{th} girl (subject ) = 1 \serving\ of\ fruit\ per\ day$

The median is $Median = 38 ^{th} \ girl (subject) = 2 \serving\ of\ fruit\ per\ day$

The third quartile is $3rd Q = 56^{th} \ girl (subject) = 4 \serving\ of\ fruit\ per\ day$

The mean is $\= x = 2.62$

Step-by-step explanation:

From the question we are told that

The total number of girls is n = 74

Generally the median is mathematically represented as

$Median = \frac{\frac{n}{2} +[ \frac{n}{2} + 1] }{2}$

$Median = \frac{\frac{74}{2} +[ \frac{74}{2} + 1] }{2}$

=> $Median = \frac{37 +38 }{2}$

=> $Median =37.5 \ girl$

From the histogram $37.5 \approx 38^{th} \ girl$ fall under 2 fruits per day

Generally the first quartile is mathematically represented as

$1st \ Q = \frac{\frac{n}{4} + [\frac{n}{4} + 1] }{2}$

=> $1st \ Q = \frac{\frac{74}{4} + [\frac{74}{4} + 1] }{2}$

=> $1st \ Q = 19 \ girl$

From the histogram $19^{th}$ girl fall under 1 fruit per day

Generally the third quartile is mathematically represented as

$3rd\ Q = \frac{\frac{n}{2} + n }{2}$

=> $3rd\ Q = \frac{\frac{74}{2} + 74 }{2}$

=> $3rd\ Q = 55.5$

From the histogram $55.5 \approx 56^{th} \ girl$ fall under 4 fruits per day

Generally from the histogram table the frequency [number of subjects (girls) ] and the servings of fruit per day can be represented as

Total

x(servings per day ) 0 1 2 3 4 5 6 7 8

f (number of subjects ) 15 11 15 11 8 5 3 3 3 $\sum f = 74$

xf 0 11 30 33 32 25 18 21 24 $\sum xf = 194$

Generally the mean is mathematically represented as

$\= x = \frac{1}{ \sum f} * [\sum xf]$

=> $\= x = \frac{1}{ 74} *194$

=> $\= x = 2.62$

4 0

3 years ago

(6t^4-t+1) - (6t^3-4t)

goldenfox [79]

Answer:

$= 6 {t}^{4} - 6 {t}^{3} + 3t + 1$

Step-by-step explanation:

$6 {t}^{4} - t + 1 - 6 {t}^{3} + 4t \\ = 6 {t}^{4} - 6 {t}^{3} + 3t + 1$

5 0

3 years ago

The function w=30-3/4n represents the weight w in pounds of the papers in tyrones newspaper delivery bag after he delivers n new

adoni [48]

Answer:

domain (−∞,∞)

range (−∞,∞)

n = 40 and it refers to the fact that after delivering 40 newspapers, there will be no paper left in the bag

Step-by-step explanation:

To find the zero, we equate the linear equation to zero

w = 30 - 3n/4

3n/4 = 30

3n = 120

n = 120/3

n = 40

What this mean in this context is that the the bag becomes empty after he has delivered 40 newspapers or we can say that the maximum number of papers the bag can take is 40

The range refers to the number on the y-axis

Here the range is (−∞,∞)

The domain refers to the x axis values

We have (−∞,∞)

4 0

3 years ago

What is the product of 1/2 x -1/4 and 5x^2 - 2x + 6? Write in standard form.

geniusboy [140]

Answer: the product of the first one is (x-2)/(2)

Step-by-step explanation:

7 0

3 years ago