Distribute 2/5 and 3/5 into the ():
2/5(a+b)+3/5(a+c)
2/5 a+ 2/5 b+3/5 a+ 3/5 c
combine the like terms:
2/5 a+3/5 a= 5/5 a --> 1a --> a
new simplified equation:
a+2/5 b+3/5 c
The total amount of money Kylie spent to go to talent camp is 115.
76.5 *10 =765 (Amount of money she deposited in 10 months)
30.5 *10 = 305 (Amount of money she used to pay for singing lessons in 10 months)
765 - 305 = 460 (Amount remaining after singing lessons for 10 months)
460/4 = 115 (Amount she used to go to a talent camp)
Answer:
x=1
Step-by-step explanation:
Convert decimals to fractions:
11/5x + 11/5 / 4= 1.1
Simplifies the fraction:
11x+11 / 20= 1.1
Remove denominator (then multiply by 20 on both sides):
11x+11=22
Move the x to the left:
11x= -11+22 → 11x=11
Simplify:
11x=11 → x=1
The answer is 50. Be sure to find the reciprocal.
A(–2, 4), B(4, 4), C(4, –2), D(–2, –2)
-> select some diagonal: AC
midpoint is at A+(1/2)*AC
-> calculate vector AC:
AC=(4-(-2),-2-4)=(6,-6)
-> calculate half length of AC:
(1/2)*AC=(3,-3)
A+(1/2)*AC=
(-2,4)+(3,-3)=(1,1) which is the midpoint
so the first option is correct