Answer:
This is in the form y=mx+b . m is the slope and b is the y-intercept. In this case, the slope is 3 and the y-intercept is −1 .
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:
The lengths of the sides are 12cm, 28cm and 36cm.
Step-by-step explanation:
Let the smallest side be 4x, the middle side be 7x and the largest side be 9x.
Smallest side + middle side + largest side = 60cm
4x + 7x + 9x = 60
20x = 60
x = 60 ÷ 20
x = 3
Smallest side (4x) = 3 × 4
= 12
Middle side (7x) = 7 × 4
= 28
Largest side (9x) = 9 × 4
= 36
16 miles
Since it’s 4 x 4
ANSWER
EXPLANATION
From the table the values of x, are on the left and the values of f(x) are on the right.
To find f(-1), we look for the value under f(x) that corresponds to x=-1.
This value is 0.
Therefore
