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enyata [817]
3 years ago
12

Check my answer!

Mathematics
2 answers:
kodGreya [7K]3 years ago
8 0
(m - 6)(m + 3)=\\
m^2+3m-6m-18=\\
m^2-3m-18
Eddi Din [679]3 years ago
6 0
M x m  =  m ^ 2
m x 3 =    3m
-6 x m =   -6m
-6 x 3 =    -18

adding these you get    m^2 -3m -18
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Solve the simultaneous equation,<br> 2p - 3q = 4<br> 3p + 2q = 9
Kobotan [32]

Answer:

p = \frac{35}{13} and q = \frac{6}{13}

Step-by-step explanation:

Given equations:

2p - 3q = 4        -----------(i)

3p + 2q = 9       ------------(ii)

Let's solve this equation simultaneously using the <em>elimination method</em>

(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;

[2p - 3q = 4]        x 3

[3p + 2q = 9]       x 2

6p - 9q = 12            -------------(iii)

6p + 4q = 18            -------------(iv)

(b) Next, subtract equation (iv) from equation (iii) as follows;

     [6p - 9q = 12]        

<u>  -   [6p + 4q = 18]   </u>  

<u>             -13q = -6     </u>  -----------------(v)

<u />

<u>(c)</u> Next, make q subject of the formula in equation (v)

      q = \frac{6}{13}

(d)  Now substitute the value of q = \frac{6}{13} into equation (i) as follows;

     2p - 3(\frac{6}{13}) = 4

(e)  Now, solve for p in d above

<em>Multiply through by 13;</em>

26p - 18 = 52

<em>Collect like terms</em>

26p = 52 + 18

26p = 70

<em>Divide both sides by 2</em>

13p = 35

p = \frac{35}{13}

Therefore, p = \frac{35}{13} and q = \frac{6}{13}

8 0
3 years ago
A survey of students at a university shows that 3out of 4 drinks coffee. of the students who drink coffee, 1 out of 5 add cream
Snezhnost [94]

Answer:

1200

Step-by-step explanation:

The number who drink coffee is 3/4 of 8000, so ...

... (3/4)×8000 = 6000.

Of those, 1/5 add cream, so the number of coffee drinkers who add cream to their coffee is ...

... (1/5)×6000 = 1200.

_____

<em>Alternate solutions</em>

We have computed ...

... (1/5)×((3/4)×8000) = 1200

Since multiplication is associative, you can multiply the fractions first, if you wish:

... ((1/5)×(3/4))×8000 = (3/20)×8000

... = 24000/20 = 1200

or

... = 3×(8000/20) = 3×400 = 1200

6 0
3 years ago
What are the x and y-intercepts of the line described by this equation? -6x+3y=18.9?
Naddika [18.5K]

The "x" intercept is found when you plug in "0" for "y"
  -6x + 3(0) = 18.9
        -6x = 18.9  (Divide both sides by -6)
           x = - 3.15
           (-3.15, 0)  is your x-intercept

Now plug in "0" for the x
-6(0) + 3y = 18.9
          3y = 18.9  (Divide both sides by 3)
                y = 6.3
               (0, 6.3) is your y - intercept






































5 0
3 years ago
mary covered her kitchen floor with 10 tiles.The floor measures 6 ft long by 5 ft wide.the tiles are each 3 ft long and w ft wid
Vadim26 [7]
W=(10/(6/3))/5=(10/(2))/5=(5)/5=1

w=1 foot
8 0
3 years ago
The average price of a gallon of gas increased by 12% in 2010 and by 10% in 2011. By what percentage did the average price of a
Leto [7]

Answer:

16.67% increase

Step-by-step explanation:

finding the percentage price increase

we need to find the difference in percentage price between the 2 years

12%-10% = 2%

2%/12% x 100% = 100%/6 = 16.67%

20% increase between January 1st 2010 and January 1st 2011

7 0
3 years ago
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