Answer:
1.44m^3
Step-by-step explanation:
Given data
Number of balls= 8
Diameter of ball = 70cm = 0.7m
Radius= 35cm= 0.35m
We know that a ball has a spherical shape
The volume of a sphere is
V= 4/3πr^3
substitute
V= 4/3*3.142*0.35^3
V= 0.18m^3
Hence if 1 ball has a volume of 0.18m^3
Then 8 balls will have a volume of
=0.18*8
=1.44m^3
Factor out the GCF, which is 4.... 4(4a+3b)
I’m sorry, I wish I knew this one and I would help
Answer:
(x, y) = (18, 5)
Step-by-step explanation:
Assuming the three lines meet at a single point at lower left (the figure is sloppily drawn), the angle (3x)°+49° is a corresponding angle to (7x-23)°. That means they have the same measure:
3x +49 = 7x -23
72 = 4x . . . . . . . . . add 23-3x
18 = x . . . . . . . . . . . divide by 4
__
Angles (3x)° and (11y-1)° are "corresponding" angles, so are congruent.
3x = 11y -1
3(18) +1 = 11y . . . . add 1, fill in the value of x
55/11 = y = 5 . . . . divide by 11
The values of x and y are 18 and 5, respectively.
First, convert 3 into a fraction with denominator 8.
(3 pizzas)(8/8 pizzas)=24/8 pizzas
Then, divide 24/8 pizzas by 2/8 pizzas per 1 person.
(24/8 pizzas)(2/8 pizzas/person)
Dividing by a fraction is the same as multiplying by the reciprocal:
(24/8)/(2/8)=(24/8)×(8/2) the 8s cancel and you are left with 24/2=12
3 pizzas will feed 12 people.