Answer:
each solo act will last 5 minutes and each ensemble act will last 14 minutes
Step-by-step explanation:
In the first show, we are told that there are 12 solo acts and 3 ensemble acts.
Now since each solo act lasts x minutes, and each ensemble act lasts y minutes and the show lasts 102 minutes, thus we have;
12x + 3y = 102 - - - - eq1
In the second show which lasts 72 minutes, we are told that there will be 6 solo acts and 3 ensemble acts.
Thus,we have;
6x + 3y = 72 - - - - eq2
Now, let's find x and y by subtracting eq 2 from eq1 to give;
6x = 30
Divide both sides by 6 to give;
x = 5
Put 5 for x in eq2;
6(5) + 3y = 72
30 + 3y = 72
3y = 72 - 30
3y = 42
y = 42/3
y = 14
Thus, each solo act will last 5 minutes and each ensemble act will last 14 minutes
<em>1. x = - 7/3 = - 2 1/3</em>
<em>2. x = -2</em>
- Step-by-step explanation:
<em>Hi there ! </em>
<em />
<em>3x + 12 = - 6x - 9</em>
<em>3x + 6x = - 12 - 9</em>
<em>9x = - 21</em>
<em>x = - 21⁽³/9</em>
<em>x = - 7/3</em>
<em>x = - 2 1/3</em>
<em />
<em>12x + 20 = 2x</em>
<em>12x - 2x = - 20</em>
<em>10x = - 20</em>
<em>x = - 20/10</em>
<em>x = - 2</em>
<em />
<em>Good luck !</em>
Answer:
Step-by-step explanation:
Five is <em>one-eighth</em> of forty, so relatively proportional to that, <em>one-eighth</em> of twenty-four is three, so you do this:
24 = 2x + 10
- 10 - 10
__________
I am joyous to assist you anytime.
Answer:
✎There will be 30 Chocolate-Covered raisins in each bag.
✎ And 5 Remaining.
Step-by-step explanation:
Take 185 and divide it by 6 and you should get 30 per bag with a remainder of 5 :)
