Answer:
y = 9
Step-by-step explanation:
Calculate the slope m of line k using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (5, 8) and (x₂, y₂ ) = (2, y)
m =
= 
Given a line with slope m then the slope of a line perpendicular to it is
= - 
The slope of line l is m = 3, thus slope of line k is
m = - 
Equating the 2 slopes for line k
= -
( multiply both sides by - 3 )
y - 8 = 1 ( add 8 to both sides )
y = 9
Answer:
1000
Step-by-step explanation:
Let the total number of children in school be y.
Then according to the question (4/5) of children are boys.
Then as we know that the sum of fractions is 1.
The fraction of girls in school is
1 - (4/5)= (1/5)
So this means (1/5) of the total children in school are girls which means
Y × (1/5) =200 , according to question.
Which gives y =200×5=100
This means that the total number of children in school is 1000.
Answer:
Step-by-step explanation:
Total number of trials =600.
Number of heads = 342.
Number of tails = 258
On tossing a coin,

and of getting a tail respectively.
then,









Answer:
C. 4yd * 3ft/yd * 12in/1ft * 2.54cm/1.in = 365.76cm
Step-by-step explanation:
First you change 4 yards into feet (By multiplying the 4 yard by 3 ft/1yd)
then you convert 12 feet into inches (By multiplying the 12 feet by 12in/1ft)
after you convert 144 inches to cm (By multiplying the 144 in by 2.54 cm/1in)
you’ll have the value in cm. Which is 365.76.