For this case we have the following expression:
The first thing we must do is to rewrite the expression as the product of two binomials.
To do this, we add similar terms.
We have then:
Then, doing distributive property we have:
Adding similar terms:
Answer:
The simplified expression is:
Answer:
Adult tickets = 84
Children tickets = 33
Step-by-step explanation:
At a play 117 tickets were sold.
Adult's tickets (a) cost $2.50 each and,
Children's (c) tickets cost $1.00 each
Money collected = $243
This is the simultaneous equation formed:
a + c = 117 ... (i)
2.5a + c = 243 ... (ii)
Subtracting (ii) - (i) we get;
1.5a = 126
a = 126 ÷ 1.5 = 84
So there were 84 adult's tickets sold and 117 - 84 = 33 children's tickets sold.
Answer:
a) 10x - 14y = -4
Step-by-step explanation:
Two equations linear dependent if you can write one as a multiple of the other. It means that the equation that is a linear dependent with -5x+7y=2 is:
10x - 14y = -4
Because it can be written as:
-2(-5x+7y) = -2(2)
So, this equation is equivalent to -5x + 7y = 2
Answer:
21 weeks
Step-by-step explanation:
565+65=630/30=21
According to the theorem of circles, angle ACB is equal to 1/2 of the explementary angle of angle APB. The explementary angle then is 360 - (x+45) or 315 - x where x is angle ACB. Hence x = 0.5 * (315-x). x is equal to 105 degrees.
