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3 years ago

11

Which is the solution to the following system? y=3x+1 6x-2y=4

1 answer:

zalisa [80]3 years ago

8 0

Answer:

x=-7/3 and y=-6

Step-by-step explanation:

6x-3(3x+1)=4

6x-9x-3=4

-3x-3=4

-3x=7

x=-7/3

y=3(-7/3)+1

y=-6

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X*2+1=10 then x=? Tell me the value of x

Trava [24]

Answer:

<h2>4.5</h2>

Step-by-step explanation:

$x \times 2 + 1 = 10$

$2x + 1 = 10$

Move constant to R.H.S and change its sign

$2x = 10 - 1$

Subtract the numbers

$2x = 9$

Divide both sides of the equation by 2

$\frac{2x}{2} = \frac{9}{2}$

Calculate

$x = 4.5$

Hope this helps..

Best regards!!

6 0

3 years ago

Can someone explain this step by step for me? its from a review so ignore my wrong answer. Thank you!

Andrei [34K]

Answer:

$P(\text{Male}|\text{Divorced})\approx0.092$

Step-by-step explanation:

$\displaystyle P(\text{Male}|\text{Divorced})=\frac{P(\text{Male and Divorced})}{P(\text{Male})}=\frac{\frac{9.6}{214.7}}{\frac{104.5}{214.7}}\approx0.092$

We can even break this down further by simply only looking at the total amount of males, and finding the proportion of males that are divorced, which is $\frac{9.6}{104.5}\approx0.092$ , the same value.

Note that P(Male | Divorced) means the probability of choosing a male, given (|) that person is divorced.

7 0

2 years ago

What is the equation of the circle with center (4, 4) that passes through the point (10, 14)? HELP MEEEEE PLEASE

Gemiola [76]

Answer:

The equation of the circle can be written as:

$\left(x-4\right)^2+\left(y-4\right)^2=136$

Step-by-step explanation:

The general equation of a circle with center $(h,k)$ and radius $r$ is:

$\left(x-h\right)^2+\left(y-k\right)^2=r^2$

In our example, we know $\left(h,k\right)=\left(4,4\right)$ , as we just have to make sure we need determine $\:r^2$ .

$\left(x-4\right)^2+\left(y-4\right)^2=r^2\:\:$

As the circle passes through (10, 14), that pair of values for x and y must satisfy the equation. So we have:

$\left(10-4\right)^2+\left(14-4\right)^2=r^2$

$\mathrm{Switch\:sides}$

$r^2=\left(10-4\right)^2+\left(14-4\right)^2$

$r^2=6^2+10^2$

$r^2=36+100$

$r^2=136$

Thus the equation of the circle can be written as:

$\left(x-4\right)^2+\left(y-4\right)^2=136$

5 0

3 years ago

Read 2 more answers

What is the mean of 31, 29, 33, 37, 33, 38, 43 and 40?

horsena [70]

Answer: 35.5

Step-by-step explanation: The mean of a data set is equal to the sum of the set of numbers divided by how many numbers are in the set.

So to find the mean of the data set shown here, let's begin by adding the numbers.

31 + 29 + 33 + 37 + 33 + 38 + 43 + 40 = 284

284 will be divided by how many numbers are in the data set which is 8 so we have to divide 284 by 8.

248 ÷ 8 = 35.5

Therefore, the mean of the data set shown here is 35.5.

6 0

3 years ago

Mark and his three Friends ate out at Applebees's . Their bill totaled % 52.35 . If they left a 20% tip how much would each pers

malfutka [58]

Answer:

Each person would pay $15.71

Step-by-step explanation:

First we can calculate how much everyone ate by multiplying the bill amount by 120% (20% tip and 100% of the bill).

$52.35 * 120% = $62.82

Now to find out how much each pays, we have to divide that cost by the number of people (4).

$62.82/4 = $15.71

7 0

3 years ago