-25 – (-13) = mathematics

I need to find the value of x and y please help.

Marizza181 [45]

Answer:

x = -6.5 y= 3.75

Step-by-step explanation:

Add angle 1 and 2 since they are both alternate interior angles

6x + y - 4 = x - 9y + 1

- x + 9y - x + 9y Subtract x and add 9y to both sides

5x + 10y - 4 = 1

+ 4 + 4 Add 4 to both sides

5x + 10y = 5

-5x - 5x Subtract 5x from both sides

10y = -5x + 5 Divide both sides by 10 to solve for y

y = -1/2x + 1/2

Use this equation to solve for x in the original equations

6x + (1/2x + 1/2) -4 = x - 9(-1/2x +1) - 1

6.5x - 3.5 = x + 4.5x - 9 - 1 Solve in the parentheses

6.5x - 3.5 = 5.5x - 10 Solve the right side of the equation

+ 3.5 + 3.5 Add 3.5 to both sides

6.5x = 5.5x - 6.5

- 5.5x - 5.5x Subtract 5.5x from both sides

x = -6.5

Use the new value of x to solve for y

6(-6.5) + y -4 = -6.5 -9y + 1

-43 + y = -5.5 -9y Simplify both sides

+43 + 43 Add 43 to both sides

y = 37.5 - 9y

+ 9y + 9y Add 9y to both sides

10y = 37.5

y = 3.75

7 0

3 years ago

Xian plans to run 14 laps around a track, each lap is 400 yards which would make his run a total of 5600 yards. So far Xian has

k0ka [10]

Answer:

4.2 laps

Step-by-step explanation:

because 4 laps is 1600+ the 80 which is a 1/5 of 400 causing it to be .2

6 0

2 years ago

Help me again pls :D sorry for the bother

matrenka [14]

Answer:

A

Step-by-step explanation:

2x2.5x3= 15

2x2.5x4.5=22.5

2.5x3x4=30

2.5x2x4=20

6 0

2 years ago

Read 2 more answers

Use the fact that the mean of a geometric distribution is μ= 1 p and the variance is σ2= q p2. A daily number lottery chooses th

butalik [34]

Answer:

a). The mean = 1000

The variance = 999,000

The standard deviation = 999.4999

b). 1000 times , loss

Step-by-step explanation:

The mean of geometric distribution is given as , $\mu = \frac{1}{p}$

And the variance is given by, $\sigma ^2=\frac{q}{p^2}$

Given : $p=\frac{1}{1000}$

= 0.001

The formulae of mean and variance are :

$\mu = \frac{1}{p}$

$\sigma ^2=\frac{q}{p^2}$

$\sigma ^2=\frac{1-p}{p^2}$

a). Mean = $\mu = \frac{1}{p}$

= $\mu = \frac{1}{0.001}$

= 1000

Variance = $\sigma ^2=\frac{1-p}{p^2}$

= $\sigma ^2=\frac{1-0.001}{0.001^2}$

= 999,000

The standard deviation is determined by the root of the variance.

$\sigma = \sqrt{\sigma^2}$

= $\sqrt{999,000}$ = 999.4999

b). We expect to have play lottery 1000 times to win, because the mean in part (a) is 1000.

When we win the profit is 500 - 1 = 499

When we lose, the profit is -1

Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).

$\mu=\Sigma\ x\ P(x)= 499 \times 0.001+(-1) \times (1-0.001)$

= $ 0.50

Since the answer is negative, we are expected to make a loss.

4 0

2 years ago

Whats the ninth term of 25 20 15 10 5

Kaylis [27]

Given:

The sequence is 25, 20, 15, 10, 5.

To find:

The ninth term of the given sequence.

Solution:

We have,

25, 20, 15, 10, 5

It is an AP because the difference between two consecutive terms are same.

Here,

First term (a) = 25

Common difference (d) = 20-25

= -5

The nth terms of an AP is

$a_n=a+(n-1)d$

Where, a is the first term and d is the common difference.

Putting a=25, n=9 and d=-5 to get the 9th term.

$a_9=25+(9-1)(-5)$

$a_9=25+(8)(-5)$

$a_9=25-40$

$a_9=-15$

Therefore, the ninth term of the given sequence is -15.

3 0

2 years ago