Answer:
a) Ans: 8.5 miles per hour
b) Ans: 46.75 miles
Step-by-step explanation:
a) Speed = Distance/Time
8.5/1h = 8.5 miles per hour
b) Distance = Speed x Time
8.5 miles per hour x 5.5h = 46.75 miles
Answer:
377/3
Step-by-step explanation:
In general if we have a fraction ( mixed) as ,
Then the improper fraction will be ,
<u>Improper</u><u> fraction</u><u> </u><u>:</u><u>-</u><u> </u>
Using this concept we have ,
→ 125 ⅔
→ 125 × 3 + 2 / 3
→ 375 + 2/3
→ 377/3
<h3>
Hence the simplified form of the expression is 377/3 .</h3>
Answer:
Step-by-step explanation:
Required
Find n, x, p and q
n always represent the population surveyed;
So:
x represents the sample from the population
So:
p always represents the given proportion
Solving for q
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
y-int: 140
slope: -4
to find the slope u gotta use the (y2-y1)/(x2-x1) formula
120-140 = -20
5-0 = 5
-20/5 = -4
