Answer:
89
Step-by-step explanation:He bought 89 items because 20 + 3 is 23, 23 + 12 is 35, 35 + 11 is 46, 46 + 24 is 70, and 70 + 11 is 89.
Answer:
a line passing through (negative 4, 2), (0, 0) and (4, negative 2).
Step-by-step explanation:
A function exhibiting direct variation MUST pass through the origin, (0, 0), and the graph must be a straight line. The answer that satisfies these requirements is
a line passing through (negative 4, 2), (0, 0) and (4, negative 2).
Answer: b
Step-by-step explanation: cause I know the answer/ i did the quiz
Let x be rate of boat in still water
let y be rate of current
we use this equation to relate quantities:
distance = speed · time
we have two unknowns so we might need to create a system of equationss
upstream:
speed (in km/h) = x - y
(we get speed of boat then subtract the current's speed from it since current is going against boat direction)
time = 3 hours
distance = 144 km
downstream:
speed (in hm/h) = x + y
(we get speed of boat then add the current's spd from it since current is going against boat direction)
time = 2 hours
distance = 144 km (same distance upstream and downstream)
using distance = speed times time
for upstream
144 = 3(x-y)
144 = 3x - 3y
for downstream
144 = 2(x+y)
72 = x + y
system of eqns:
144 = 3x - 3y
72 = x + y
solve by substitution: move 72 = x + y into x = 72 - y and subst into other equation for x
144 = 3(72 - y) - 3y
144 = 216 - 3y - 3y
144 = 216 - 6y
144 - 216 = -6y
-72 = -6y
y = 12 km/h
Use x = 72 - y to find x with y = 12: x = 72 - 12 = 60 km/h
rate of boat in still water is 60 km/h
rate of the current is 12 km/h
Answer:
The shaded are is 
Step-by-step explanation:
we know that
The shaded area is equal to the area of the semicircle minus the area of the circle inside the semicircle
step 1
Find the area of semicircle
The area of semicircle is equal to
where
----> the radius is half the diameter
substitute
step 2
Find the area of the circle inside the semicircle
The area of circle is equal to
where
---> the radius of circle inside is half the radius of semicircle
substitute
step 3
Find the shaded area
assume
3 significant figures is
