Answer:
310 balcony tickets were sold
Step-by-step explanation:
Part 1:
X=the number of orchestra seats sold
Y=the number of balcony seats sold
980=the total of tickets sold
X+Y=980
Part 2:
Orchestra seats cost $50
Balcony Seats cost $35
Total money collected $44,350
50X+35Y=44,350
X+Y=980
Y=980-X (substitute y in your second equation)
50X+35(980-X)=44,350
50X+34,300-35X=44,350
50X-35X=44,350-34,300
15X=10,050
X=670
Y=980-X
Y=980-670
Y=310
Check
50X+35Y=44,350
50(670)+35(310)=44,350
Answer:
D. I or II only
Step-by-step explanation:
By a small online search, I've found that the equation is:
6x + 7 = 3x - 5
And the options are:
I. Combining the 6x and 3x terms
II. Combining the 7 and 5
III. Dividing both sides of the equation by 6
A. I only
B. II only
C. III only
D. I or II only
E. I or II or III
So, let's solve the equation in such a way that we can prevent the use of fractions:
6x + 7 = 3x - 5
We can use I and II, combining one in each side, so we get (so we use I and II at the same time)
6x - 3x = -5 - 7
solving these, we get:
(6 - 3)*x = -12
3*x = -12
and -12 is divisible by 3, so if we divide in both sides by 3, we get:
x = -12/3 = -4
x = -4
So we avoided working with fractions, and we used I and II.
Then the first step could be either I or II (the order does not matter)
Then the correct option is:
D. I or II only
Your answer would be (2,0)
First you would do 1.95 * 3 which would equal to 5.85, then you would do 10.00-5.85 which equals to 4.15
Answer: She would receive $4.15 as change if she payed with a $10 bill.
Responder:
Número total de bolas = 245/23
Explicación paso a paso:
Dado que:
Bolas blancas = 1/5
Bolas negras = 1/7
Bolas rojas = 7
Sea el número total de bolas = x
Bolas blancas = 1 / 5x
Bolas negras = 1 / 7x
Por tanto, total;
(x / 5 + x / 7 + 7) = x
((7x + 5x) / 35) +7 = x
(12x / 35) + 7 = x
7 = x - 12x / 35
7 = (35x - 12x) / 35
7 = 23 veces / 35
245 = 23x
x = 245/23
