Answer
so there are 7 singing acts and 5 comedy acts.
Step-by-step explanation:
Let x= number of singing acts.
Let y= number of comedy acts.
We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.
We solve x+y=12
Y=-x+12
We know y=-x+12, so we will substitute that for the y in the second equation.
1. Substitute 5x+3(-x+12)=50
2. Distribute 5x-3x+36=50
3. Solve 2x+36=50
2x=14
X=7
Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.
5(7)+3y=50
35+3y=50
3y=15
Y=5
3.00 is 166.6% of 1.80 dollars
X+y=8
multiply the first equation by 3 to get rid of x
3x+3y=24
3x+2y=14
subtract equation 1 from 2
y=10
substitute to find the value of x
x+10=8
x=-2
Answer:
4 ( 5 - n )
Step-by-step explanation:
The expression:
20 – 4n
Task: Rewrite the expression for the new weight as a product of two factors.
To do this we simply have to find the highest common factor (HCF) between 20 and 4n
20 = 4 * 5
4n = 4 * n
The HCF = 4
Expressing as a product of two factors;
4 ( 5 - n )
