Answer:
20 males and 7 females
Step-by-step explanation:
Let's say the number of females is x and the number of males is y.
We know that the total number of students is 27, which can also be written as x + y. So, these two expressions are equal: x + y = 27.
There are 13 fewer females than males, so: x = y - 13.
Now, we can use substitution to solve this system of linear equations.
Since x = y - 13, we can plug in y - 13 for x in x + y = 27:
x + y = 27 ⇒ (y - 13) + y = 27 ⇒ 2y - 13 = 27 ⇒ 2y = 40 ⇒ y = 20
Then, we use this value of y to solve for x:
x = y - 13 = 20 - 13 = 7
Thus, there are 20 males and 7 females.
Hope this helps!
It bisects so DE=EF
DE=5y
EF=13y-8
so
5y=13y-8
minus 13y both sides
-8y=-8
divide both sides by -8
y=1
DE=5y=5(1)=5
DE=EF=5
DF=DE+EF=5+5=10
DE=5
EF=5
DF=10
Answer:
8.20=0.1s+5 <- equation
32 songs
Step-by-step explanation:
solve the equation
The Least Common Multiple is used to add fractions with unlike denominators:
Three things can happen:
1/3 + 1/7 - the LCM is the product of the denominators (in this case 21)
2/8 + 3/16 - the LCM is the greater denominator (in this case 16)
2/9 + 5/6 - the LCM is lower than the product of the denominators (in this case it is 18)
The Greatest Common Factor is used to reduce fractions quickly:

÷

=

By using the GCF -in this case 24, I reduced the fraction in a single step.
If I kept dividing by 2/2 (not the GCF), it would take much longer:
48/72 = 24/36 = 12/18 = 6/9 and then I would still have to divide 6/9 by 3/3 to get 2/3
Answer:
Step-by-step explanation:

The auxialary equation and solutions are as follows:

General solution is

Right side =cosx
Particular Integral
= 
Hence full solution is