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vazorg [7]
2 years ago
7

Solve equation a+6a-9=30

Mathematics
1 answer:
joja [24]2 years ago
3 0
To solve any equation, we have to get the variables and the constants (numbers) on opposite sides of the equals sign.  

First, we have to combine the like terms on the left side of the equation, resulting in

7a - 9 = 30

Then, because we want the constants on the right side of the equation, we have to +9 to cancel out the -9 on the left side.

7a=39

Next, the a has a coefficient of 7, which it is multiplied by.  To undo multiplication, you have to divide.  Therefore, we should divide both sides by 7.

a= 5 4/7 or 5.57142857143

In improper fraction form, a = 39/7, as this fraction cannot be simplified any farther.
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umka21 [38]

Step-by-step explanation:

a)

total no. of pupils is not more than 24

therefore first equation is

(x+y) ≤ 24. ....(1)

No. of girls exceeding the no. of boys by atleast 4

(y-x) ≥ 4. .....(2)

b) Now Liza chooses 8 boys

Maximum no. of girls = ?

Using first inequality

y+8= 24 ( maximum value of less than or equal to function is equal to itself)

Therefore,

y= 24-8

=16

Minimum no. of girls = ?

Using second inequality

y-8 =4 (minimum value of greater than or equal to function is equal to itself)

Therefore,

y= 4+8

y=12

Answer:

a) 2linear inequalities

(x+y) ≤ 24

(y-x) ≥ 4

b) Max no. of girls = 16

Min no. of girls = 12

Hope it helps...

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3 years ago
What subsets of numbers does 8 2/3 belong to?
Ne4ueva [31]
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