Question 1:
73 is a prime number. It can only be divided by 1 and by itself.
The GCF of the three numbers:
54 36 73
1×54 1×36 1×73
2×27 2×18
3×18 3×12
6×9 4×9
6×6
GCF of 54, 36 and 73 is 1
GCF of 54 and 36 is 18
If we divide 54 apples into 18 baskets, we have 3 apples in each basket
If we divide 36 oranges into 18 baskets, we have 2 oranges in each basket
If we divide 73 bananas into 18 baskets, we have 4 bananas in each basket + one banana left over.
So the greatest number of identical fruit baskets we can make with the least amount of fruit left over is 18 baskets
Answer:
The space that the package would occupy is 45
cubic feet.
Step-by-step explanation:
The space that the package occupies is the volume of the cylinder. The volume of an object is the 3 dimensional capacity of the object.
Volume of a cylinder = 
h
where: r is the radius and h is the height of the cylinder.
Given that; h = 5 feet and r = 3 feet.
The required volume =
×
× 5
=
× 9 × 5
= 45
cubic feet
The space that the package would occupy is 45
cubic feet.
Answer:
4 and -4
Step-by-step explanation:
Because 4 to the left of 0 is negative and 4 to the right is positive
We want to find a graph that represents Noah's average speed.
We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:
s = 12ft/6s = 2ft/s
Then we can define a linear equation:
y = (2ft/s)*x
As the distance that Noah travels in x seconds.
The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.
If you want to learn more, you can read:
brainly.com/question/11897796
(2^6)=1
take log on both sides,
xlog(2^6)=log(1)=0
=>
x=0, since log(2^6)>0
5^0=1
there is no value of x appearing in the equation, so x can be any valid number.