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:
Step-by-step explanation:
Answer:
3 minutes; 27 minutes; 30 minutes
Step-by-step explanation:
Let the common multiplier of the given ratios be x. So, the ratios 1: 9 : 10 will become x, 9x and 10x respectively.
Therefore,
Thus, 1 hour in the ratio 1 : 9 : 10 can be divided as:
3 minutes; 27 minutes; 30 minutes
Answer:
Step-by-step explanation:
3p + 2p - p
= 3p + p
= 4p
(add the co-efficients)
Answer:
rearrange them properly to get
x-y=7
-3x+y=12
( by elimination method)
x-y = 7
-3x+y=
(x+ –3x) + (–y+y) = (7+12)
-2x+0= 19
x= -9.5
from eqn(i)
x-y=7
-9.5 - y=7
-y=16.5
y= -16.5
