Answer:
7 are boys
Step-by-step explanation:
Make a system of equations where g is for girls and b is for boys.
b+g=26
g=3b-2
Substitute "3b-2" in for "g" in the first equation.
b+(3b-2)=26
Rewrite without the parentheses because it's addition and not multiplication.
b+3b-2=26
Combine like terms.
4b-2=26
Add 2 to both sides.
4b=28
Divide by the coefficient of the variable to get it alone.
b=7
Answer:
x = 6
Step-by-step explanation:
1/2(18-5x)=1/3(6-4x)
9 - 5/2x = 2 - 4/3x
7 = 7/6x
x = 6
<h3>
Answer: 9 meters</h3>
===========================================
Work Shown:
- side a = 8
- side b = 5
- angle C = 88 degrees
Applying the law of cosines
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 8^2 + 5^2 - 2*8*5*cos(88)
c^2 = 64 + 25 - 80*cos(88)
c^2 = 86.2080403
c = sqrt(86.2080403)
c = 9.2848285
c = 9
Technically he needs 10 meters of rope because of the extra 0.28 portion, but I'll stick with 9 meters since your teacher said to round to the nearest whole number.
