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lana [24]
3 years ago
8

Solve by elimination: x + 9y = 8 -6X - 9y = -3

Mathematics
1 answer:
WITCHER [35]3 years ago
5 0

Answer:

(-1,1)

Step-by-step explanation:

x + 9y = 8

-6x - 9y = -3

Add the two equations together to eliminate y

x + 9y = 8

-6x - 9y = -3

---------------------

-5x   = 5

Divide by -5

-5x/-5 = 5/-5

x = -1

Now solve for y by substituting into the first equation

x+9y = 8

-1 + 9y =8

Add 1 to each side

-1+1 + 9y = 8+1

9y=9

Divide each side by 9

9y/9 = 9/9

y = 1

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a polygon has two interior angles of 120 degree each and the others are 150 degree each calculate the number of sides and the su
trapecia [35]

Answer:

  • 10 sides
  • angles total 1440°

Step-by-step explanation:

The formula for the total of interior angles can be used together with the given angle values to write an equation for the number of sides.

<h3>Setup</h3>

The total of interior angles of an n-sided polygon is 180°×(n -2). In the given n-sided polygon, two angles are 120° and (n -2) angles are 150°. The total of angles is the same either way it is computed:

  2×120 +(n -2)150 = (n -2)180

<h3>Solution</h3>

Subtracting (n-2)150, we have ...

  240 = 30(n -2)

  8 = n -2 . . . . . . . . divide by 30

  10 = n . . . . . . . . add 2

The polygon has 10 sides.

The total of interior angles is ...

  angle sum = 180°×(10 -2) = 1440°

The sum of interior angles is 1440°.

4 0
2 years ago
Read 2 more answers
How did I get a 2 here (simplifying ratios)
PilotLPTM [1.2K]

Answer:

\frac{2x {}^{2} + 14x + 24 }{4 {x}^{2} + 4x - 48 }  =  \frac{x + 4}{2(x - 2)}

Step-by-step explanation:

Please see attached picture for full solution.

4 0
3 years ago
If you sleep an average of 7.5 hours each night, how many hours do you sleep in a year?
satela [25.4K]

Answer:

\boxed{\sf 2737.5 \ hours}

Step-by-step explanation:

The average is 7.5 hours of sleep each night.

There are 365 nights in 1 year.

\sf Multiply \ the \ value \ by \ 365.

7.5 \times 365

2737.5

5 0
3 years ago
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jayden and chandra are cleaning the house. it has 12 rooms, and each room is about the same size. when jayden cleans by himself,
sergij07 [2.7K]

Jayden's work rate is twice Chandra's work rate, and, the rooms cleaned

by Jayden is twice the number of rooms cleaned by Chandra.

Response:

  • <u>Jayden cleans 8 rooms while Chandra cleans 4 rooms</u>

<h3>Which method can be used to find the number of rooms cleaned by Jayden and Chandra?</h3>

Number of rooms in the house = 12

The time that Jayden takes to clean the house = 6 hours

Time that it takes Chandra to clean the house by herself = 12 hours

Time it takes both of them to clean the house = 4 hours

Required:

The number of rooms that Jayden clean and the number of rooms that

Chandra cleans when they work together.

Solution:

Given that the time it takes Jayden to clean the house is half the time

taken by Chandra.

Therefore;

The number of rooms Jayden cleans in 4 hours is twice the number of rooms cleaned by Chandra, which gives;

Ratio of the number of rooms cleaned by Jayden to the number cleaned by Chandra is 2 : 1

Total number of rooms cleaned = 12

Number \ of \ rooms \ cleaned \ by \ Jayden = \dfrac{2}{2 + 1} \times 12 = \underline{8 \ rooms}

The number of rooms cleaned by Chandra = 12 - 8 = <u>4 rooms</u>

Learn more about ratios here:

brainly.com/question/3568924

6 0
2 years ago
Factorise fully x2 + 19x + 48​
MrMuchimi
X^2+19x+48
(x+16)(x+3)

Explanation:
Two factors of 48 that added together equal 19 are 16 and 3 so that’s why they are used
4 0
2 years ago
Read 2 more answers
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