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3 years ago

15

Solve the system Also plz show work and what you did and these two equations with x and y the x and y have to be the same in bot

h the equations 0.5x +y=4 0.5x-y=-1 what is the solution

1 answer:

Gala2k [10]3 years ago

5 0

Multply both equations by 2 leaving

x + 2y = 8
x - 2y = -2

Add the equations giving

2x = 6
x = 3

Substitute 3 in the top equation

3 + 2y = 8
2y = -5
y = -2.5

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Mina tosses two number cubes labeled 1 to 6. What is the probability that the sum is equal to five?

coldgirl [10]

(1,4)

(4,1)

(2,3)

(3,2)

so there are 4 different combinations that equal 5

6 x 6 = 36 total possible outcomes of the dice

so they have a 4/36 reduces to 1/9 probability of equaling 5

7 0

3 years ago

Can someone plz help me with this!

asambeis [7]

Answer:

(arranged from top to bottom)

System #3, where x=6

System #1, where x=4

System #7, where x=3

System #5, where x=2

System #2, where x=1

Step-by-step explanation:

System #1: x=4

$2x+y=10\\x-3y=-2$

To solve, start by isolating your first equation for y.

$2x+y=10\\y=-2x+10$

Now, plug this value of y into your second equation.

$x-3(-2x+10)=-2\\x+6x-30=-2\\7x=28\\x=4$

System #2: x=1

$x+2y=5\\2x+y=4$

Isolate your second equation for y.

$2x+y=4\\y=-2x+4$

Plug this value of y into your first equation.

$x+2(-2x+4)=5\\x+(-4x)+8=5\\x-4x+8=5\\-3x=-3\\x=1$

System #3: x=6

$5x+y=33\\x=18-4y$

Isolate your first equation for y.

$5x+y=33\\y=-5x+33$

Plug this value of y into your second equation.

$x=18-4(-5x+33)\\x=18+20x-132\\-19x=-114\\x=6$

System #4: all real numbers (not included in your diagram)

$y=13-2x\\8x+4y=52$

Plug your value of y into your second equation.

$8x+4(13-2x)=52\\8x+52-8x=52\\0=0$

<em>all real numbers are solutions</em>

System #5: x=2

$x+3y=5\\6x-y=11$

Isolate your second equation for y.

$6x-y=11\\-y=-6x+11\\y=6x-11$

Plug in your value of y to your first equation.

$x+3(6x-11)=5\\x+18x-33=5\\19x=38\\x=2$

System #6: no solution (not included in your diagram)

$2x+y=10\\-6x-3y=-2$

Isolate your first equation for y.

$2x+y=10\\y=-2x+10$

Plug your value of y into your second equation.

$-6x-3(-2x+10)=-2\\-6x+6x-30=-2\\-30=-2$

<em>no solution</em>

System #7: x=3

$y=10+x\\2x+3y=45$

Plug your value of y into your second equation.

$2x+3(10+x)=45\\2x+30+3x=45\\5x=15\\x=3$

3 0

2 years ago

What is the sum of a 7-term geometric series if the first term is -6, the last term is -24,576, and the common ratio is 4?

Zanzabum

<h3><u>Answer:</u></h3>

Hence, the sum of a 7-term geometric series is:

-32766.

<h3><u>Step-by-step explanation:</u></h3>

We have to find the sum of a 7-term geometric series (i.e. n=7) if the first term(a) is -6, the last term is -24,576, and the common ratio(r) is 4.

We know that the sum of the 7-term geometric series is given as:

$S_n=a\times (\dfrac{r^n-1}{r-1})$

On putting the value of a,n and r in the given formula we have:

$S_7=(-6)\times (\dfrac{4^7-1}{4-1})\\\\\\S_7=-32766$

Hence, the sum of a 7-term geometric series is:

-32766.

3 0

3 years ago

Read 2 more answers

Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest

natima [27]

Answer:

dependent

Step-by-step explanation:

These two events are dependent. When the ball is set aside, there are fewer balls to draw from, so the probability of getting a certain ball becomes greater.

8 0

3 years ago

Read 2 more answers

Carson packed his movies in a box that is in the shape of a rectangular prism. The height of the box is 17 inches. The length of

Sophie [7]

Answer:

Width: <u>13</u> inches

Step-by-step explanation:

To find the width of prism you would have to divide the volume of the prism by the area of the cross section.

First calculate the area of the cross section of the prism:

17 × 25.5= 433.5

Then divide the cross section area by the volume:

5635.5 ÷ 433.5= 13

The width is <u>13 inches</u>

7 0

3 years ago