Answer:
5.4 > x > 2.8
Step-by-step explanation:
Sum of two sides is always greater than the third side
Case1 :
4.1 + 1.3 > x
5.4 > x
Case2:
4.1 + x > 1.3 or 1.3 + x > 4.1
x > 1.3 - 4.1 or x > 4.1 - 1.3
x > - 2.8 or x > 2.8
Note that it is obvious x is not -ve so neglect -2.8. x > 2.8
Hence,
5.4 > x > 2.8
So find the difference between 1995 and 2022 to make it easier
2022-1995=27
so the rephrased question is
when hazel was x years old, she was 25 years older than son gary who was y old at that time (equation is x is 25 more than y or x=25+y)
in 27 years, (this means x+27 and y+27) hazel's age will be 150% of gary's age (x+27= 150% of y+27)
percent means parts out of 100 so 150%=150/100=15/10=1.5
'of' in math means multiply so
the equations are
x=25+y
x+27=1.5(y+27)
subsitute 25+y for x in second euation
25+y+27=1.5(y+27)
add like terms
y+52=1.5(y+27)
I personally dislike decimals to multiply both sides by 2 to make 2 0.5's or 1 (you are technically supposed to distribute or divide both sides by 1.5) so
2y+104=3(y+27)
distribute
2y+104=3y+81
subtract 2y from both sides
104=y+81
subtract 81 from both sides
23=y
subsitute
x=25+y
x=25+23
x=48
Hazel was 48 and Gary was 23 in the year of 1995
Answer
6+x=31 0r 6+ x = <31
Step-by-step explanation:
The locomotive is 40 ft long.
40 ft = 40 * 12 in. = 480 in.
The locomotive is 480 inches line.
The model is 16 inches long.
480/16 = 30
The real locomotive is 30 times longer than the model.
A window on the locomotive is 30 times wider than a window on the model.
32 rounds.
If there are 128 teams in the beginning, we need to divide 128 by something to get 4,
128/32=4
