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belka [17]
3 years ago
12

Elimination method 10x-4y=-8 -5x+6y=10

Mathematics
1 answer:
AURORKA [14]3 years ago
4 0
Eliminate the x terms: Multiply the second equation by 2
-10x+12y=20

Add it to the first equation
10x-4y=-8
-10x+12y=20
——————-
0x+8y=12

y = 1.5

10x-4(1.5)=-8
10x = -2
x = -1/5
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Find last year’s salary if, after a 3% pay raise, this year’s salary is $30,900
Liono4ka [1.6K]
Your answer is $30,000.
The way I have answered this is quite strange, but I'll do my best to explain it. So because we know that $30,900 is 3% than last year, we can call it 103%. This allows us to form a ratio and therefore find 100%.
30,900 : 103
÷ 103
300 : 1
× 100
30,000 : 100
Which means $30,000 is 100%, or 3% less than $30,900. I hope this helps! Let me know if it was confusing or anything :)
5 0
3 years ago
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Figure ABCD is a parallelogram. Parallelogram A B C D is shown. Angle B is (2 n + 32) degrees and angle D is (4 n minus 2) degre
Kobotan [32]

Answer:

n=17

Step-by-step explanation:

you have to set the two equations equal to each other because its angles are the same. once you do this, its just simple algebra, trying to solve for n. Hope this helps :)

8 0
3 years ago
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In the distribution, the first quartile,median and mean are 30.8,48.5 and 42.0 respectively. If the co efficient skewness is -0.
finlep [7]

Answer:

The third quartile is 56.45

Step-by-step explanation:

The given parameters are;

The first quartile, Q₁ = 30.8

The median or second quartile, Q₂ = 48.5

The mean, \bar x = 42.0

Coefficient of skewness = -0.38

The Bowley's coefficient of skewness (SK) is given as follows;

SK = \dfrac{Q_3 + Q_1 - 2 \times Q_2}{Q_3 - Q_1}

Plugging in the values, we have;

-0.38 = \dfrac{Q_3 + 30.8 - 2 \times 48.5}{Q_3 - 30.8}

Which gives;

-0.38×(Q₃ - 30.8) = Q₃ + 30.8 - 2 × 48.5

11.704 - 0.38·Q₃ = Q₃ - 66.2

1.38·Q₃ = 11.704 + 66.2 =  77.904

Q₃ = 56.45

The third quartile = 56.45.

5 0
3 years ago
What is the sign of 3 x y 3xy3, x, y when x > 0 x>0x, is greater than, 0 and y < 0 y<0
Colt1911 [192]

Answer:

The sign is negative

Step-by-step explanation:

Given

Expression = 3xy

x > 0

y

Required

Determine the sign

The expression can be split into 3 factors

(3) (x) (y)

If x > 0 then x is positive and If y < 0 then y is negative

So, the expression becomes:

(+3) (+x) (-y)

<em />

Leave only signs

(+) (+) (-)

+ * + = -

So, we have:

(+*+) (-)

(+) (-)

+ * - = -

So, we have:

(+) (-) = -

<em>Hence, the sign of the expression is negative</em>

<em></em>

Take for instance;

x = 2

y = -4

The expression would be:

3 *2 * - 4 =-24 -- negative

4 0
3 years ago
Which graph represents <br> y= -2x?
Kamila [148]
It would be the second graph since the coefficient is negative
5 0
3 years ago
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