Answer:
The answer is below
Step-by-step explanation:
Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:
Number of times = volume of cube / volume of pyramid
The perimeter of the pyramid base = 25 in, hence the length of one side of the bae = 25 / 4 = 6.25 in
Volume of square pyramid = base² × (height / 3) = (6.25 in)² * (5 in / 3) = 65.1 in³
Volume of cube = 125 in³
Number of times = 125 in³ / 65.1 in³ = 1.92
200,000 because the numbers in the middle are low
Answer:
True.
Step-by-step explanation:
The explicit form for an arithmetic sequence is:
where 
is the first term and 
is the common difference.
The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.
Yes, the common difference is the slope.
So we have d=2.
The first term is 9.5 because that is what happens when x=1.
x is n.
y is 
.
So the answer is true.
----
You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:
Let n=1:
Let n=2:
Let n=3:
Let n=4:
Let n=5:
Let n=6:
We have confirmed that we get all 6 of the mentioned points using the equation they gave.
Answer:
The baker uses 15 cups of cereal for 10 cups of marshmallows
Step-by-step explanation:
The proportion 6:4 has to stay true in the answer, so both numbers have to be multiplied by the same number
6 x 2.5 = 15
4 x 2.5 = 15
both numbers were multiplied by the same number in this answer and it is the only answer that stays true to the ratio
