a. HCF of 48 and 72 is 24
He can use 24 plates maximum.
b. 48/24 = 2
72/24 = 3
He can put 2 carrot sticks and 3 cheese puffs on each plate.
Hope this helps
So a dime is .10 or 10 cents
a quarter is .25 or 25 cents
12(.10)=$1.2
4(.25)=1
the equations would be
.25(x)
.10(x)
and if you need them combined it would be
.25(x) + .10(x)
:)
Answer:
P and Q are two points on the line x-y+1=0 and are at a distant of 5 units from the origin. Find the area of triangle POQ.
Step-by-step explanation:
P and Q are the intersection points of
x-y+1 = 0 and the circle x^2 + y^2 = 25
sub y = x+1 into the circle
x^2 + (x+1)^2 = 25
x^2 + x^2 + 2x + 1 - 25 = 0
x^2 + x - 12 = 0
(x+4)(x-3) = 0
x = 3 or x = -4
y = 4 or y = -3
so P(3,4) and Q(-4,3) are our two points
Height of triangle.
h = |0 - 0 + 1|/√2 = 1/√2
PQ = √( (-7)^2 + 1^2) = √50 = 5√2
area POQ = (1/2)(1/√2)(5√2) = 5/2 square units
hope this helped