40 boys and 68 girls
let's start with variables and an equation.
boys: x
girls: 2x - 12
and we know that boys and girls make up the class. so let's add the two expressions.
x + 2x - 12 = 108
3x - 12 = 108
+ 12 + 12
3x = 120
x = 40 boys
BUT x is only the number of BOYS in the class. so we have to find girls now. let's plug in our value of x into the girls' equation.
2x - 12 = # of girls
2(40) -12 = # of girls
80 - 12 = # of girls
68 girls
let's check our answer!
68 + 40 does in fact add to 108, therefore our answer is correct.
Answer:
Step-by-step explanation:
Can I have the rest of the question(picture)?
Answer:
13.99
Step-by-step explanation:
So the hundredths place is the second digit after the decimal point in this case it is 8.
So the number after it is 9 so we round up.
The number after 8 is 9
So 13.989 to the nearest hundredth place is 13.99
Answer:
28 degrees
Step-by-step explanation:
A triangle is always equal to 180 degrees so add the degrees together
40+2x+3x=180
40+5x=180
5x/5=140/5
x=28
Step-by-step explanation:
Use double and triple angle identities:
sin(2x) + cos(3x)
2 sin x cos x + 4 cos³x − 3 cos x
