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kirill115 [55]
3 years ago
12

1/3·(−3x+4y−5z) help plz

Mathematics
2 answers:
Maksim231197 [3]3 years ago
7 0

Answer:

To solve this we need to form 2 equations with only 2 variables.

x+4y-5z=-7

2x+y+5z=8

3x+5y=1

15x+10y+15z=35

6x+3y+15z=24

9x+7y=11

Now we need to use these to find x and y

9x+15y=3

9x+7y=11

8y=-8

y=-1

Therefore:

x=2

From this we can find that:

2(2)-1+5z=8

Therefore z=1

The answer is x=2, y=-1, z=1

Gnesinka [82]3 years ago
4 0

Answer: -x + 4/3y - 5/3z

Step-by-step explanation:

1/3*(-3x+4y-5z)

-1/3 * 3x + 1/3 * 4y - 1/3 * 5z

-x + 4/3y - 5/3z

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If BE = 2x + 2, BD = 5× - 3, and AE = 4× - 6, what are the values of x and AC?​
hichkok12 [17]

Answer:

x = 7

AC = 44

Step-by-step explanation:

Find the diagram attached

According to the parallelogram,

BD = 2BE

5x-3 = 2(2x+2)

5x-3 = 4x+4

5x-4x = 4+3

x = 7

Hence the value of  x is 7

Also AC = 2AE

AC = 2(4x-6)

AC = 8x - 12

AC = 8(7) - 12

AC=  56-12

AC = 44

Hence the measure of AC is 44

4 0
3 years ago
Which point is a reflection of M(-5, -6) across the y-axis?
Fantom [35]

Answer:

point R

Step-by-step explanation:

reflection rule for the y-axis

p(x, y)->p'(-x, y)

therefore:

M(-5, -6)->R(5, -6)

3 0
3 years ago
Susan is trying to decide between two jobs. One job pays $12 per hour for the first 36 hours and $15 per hour for any additional
nasty-shy [4]

Answer:

For the first question (For which job will she earn more if she works 40 hours a week), the answer is the second job.

For the second question (How much more per year will this be if she works 50 weeks per year), the answer is 25$ extra a year.

First i multiplied $12 times 36.

$12 x 36 = $432

Then i multiplied $15 times 4.

$15 x 4 = $60

Now add those together

$432 + $60 = $492

That's how much she would make in a week for the first job, if she worked 40 hours a week.

For the second job, i did the exact same process.

$11.50 x 35 = $402.5

$18 x 5 = $90

$402.5 + $90 = $492.5

She would get 50 more cents a week, if she worked 40 hours a week.

For the second question, i multiplied the first job total by 50, since she is working 50 weeks a year.

$492 x 50 = $24,600

Thats her total of a year, for the first job.

Do this with the second job.

$492.5 x 50 = $24,625

As you can see, she would get $25 more in the second job, than the first job.

I hope this helped!

7 0
3 years ago
Will mark brainliest, please answer:)
yanalaym [24]

Check the picture below.

7 0
3 years ago
An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak
gregori [183]

Answer:

17.9  m/s

Step-by-step explanation:

Volume of the slick =  0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

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If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)

V  =  0.5 x π r² h

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r²   =  10⁶/ π

r =     10³/√π

dV/dt =   πrh dr/dt  + 0.5π r² dh/dt----------------------------------- (2)

Asumming the film thickness is constant , equation (2) becomes

dV/dt =   πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

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Substituting  into (3);

0.1 =  π x 10³/√π x 10⁻⁶ x dr/dt

dr/dt = 0.1  x 10⁶/ ( π x 10³/√π)

       =  17.9479 m/s

       ≅  17.9  m/s

8 0
3 years ago
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