Answer:
48
Step-by-step explanation:
let s be the snowman, g be the girl, and t be the christmas tree
2s+g=24
2t+2ts=132
3t+2g=26
subtract 2 times the first equation from the third one to get
3t-4s=-22
from the second equation we can deduce
2t(1+s)=132
t(1+s)=66
t=66/(1+s)
Substitute:
3(66)/(1+s)-4s=-22
3(66)/(1+s)=4s-22
3(66)=(4s-22)(1+s)
3(66)=-18s+4s^2-22
4s^2-18s-220=0
using the quadratic formula, we get s = 10, s = -5.5.
2(10)+g=24
g=4
2t(1+10)=132
2t=12
t=6
So 2s+t*g= 20+6*4=48
you would get a different solution for the negative s, but since snowmen cannot be negative, 48 is the answe.r
Answer:
12x^5
Step-by-step explanation:
(-2x)(-6x^4)
Multiply the numbers
-2 * -6 = 12
Multiply the variables
x* x^4 = x^5
12x^5
Answer:
6 7/12
Step-by-step explanation:
-7 2/3 +(5 1/2) + 8 3/4
Get a common denominator of 12
-7 2/3 * 4/4 +(5 1/2 +6/6) + 8 3/4*3/3
-7 8/12 + 5 6/12 + 8 9/12
Subtract the first two terms first
They have opposite signs so subtract and take the sign of the larger
-7 8/12 + 5 6/12 = -2 2/12
-2 2/12 + 8 9/12
They have opposite signs so subtract and take the sign of the larger
-2 2/12 + 8 9/12 = 6 7/12
Answer:
-irrational
-rational
-rational
-irrational
__________________________________________________________quick and easy way is to see if the squares are perfect squares, like square root seven is irrational, so the answer is irrational. square root 9 is 3, which is rational, so its rational.
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