Let the number of Sociology books = y; the number of History books = x
⇒ x + y = 475 (2)
also since the number of history books sold was 83 less than sociology,
then x = y - 83 (1)
BY substituting (1) into (2)
⇒ (y - 83) + y = 475
2y = 475 + 83
y = (558 ÷ 2)
y = 279
⇒ x = 279 - 83
x = 196
∴ Number of History books is 196 & number of Sociology books is 279.

Start off by finding the slope of the line with the formula
.
Substitute the values. 
Subtract. 
Simplify. 
is the slope of the line.
Now, use the point-slope formula to create an equation, where
is the slope and
is a known point on the line. 
Substitute the values. 
Simplify. 
Move the
to create the final equation in slope-intercept form. 
68,246 inches of road had been repaved before today.
Step-by-step explanation:
Given,
Length of road repaved so far = 97338 inches
Length repaved today = 29092 inches
Length repaved before today = Total length repaved - Length repaved today
Length repaved before today = 97338 - 29092
Length repaved before today = 68246 inches
68,246 inches of road had been repaved before today.
Keywords: subtraction
Learn more about subtraction at:
#LearnwithBrainly
Distance:
subtract (5,2)-(2,6) = (3,-4)
Compute the length (Pythagoras): sqrt( 3^2 + (-4)^2 ) = sqrt(25)=5
So, C!
Answer:
285
Step-by-step explanation:
The total amount of degrees in a circle is 360, we know that the un-shaded portion of the circle is 90 degrees this means that the shaded portion has 270 degrees.
We also know that the area of the circle is
but we are finding a portion of that, therefore we would need to multiply it by
. The radius is also given which is 11.
Area of the shaded region =
= 285