Answer:
Step-by-step explanation:
For ellipses, the length of the major axis is represents as:
Major axis = 
where 
is called the semi-major axis.
In this case since the major axis is equal to 10 units:
solving for the semi-major axis :
and also the minor axis of an ellipse is represented as:
Minor axis = 
where 
is called the semi-minor axis.
Since the minor axis has a length of 8 units:
solving for b:
Now we can use the equation for an ellipse centered at the origin (0,0):
and substituting the values for and :
and finall we simplify the expression to get the equation of the ellipse:
It will be 6 cause it is going by 1+ 1,2,3,4,5,6 (if it was 1,3,6,9, it will be 12 cause it is going by 3+) so answer is 6
Let's break apart 42.
The 4 is in the tens. The 2 is in the ones.
Place Value starting from Thousands
Thousands Hundreds Tens Ones
_________ ________ ____ _____
4 2
So this is how we break up numbers using place value.
Hope this helps!
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
Answer:
Angelina should buy 9 packs of pens and 8 packs of pencils.
Step-by-step explanation:
Each pack of pens = 8 pens
Each pack of pencils = 9 pencils.
Also we know that, Commutative Property of Multiplication states that
a x b = b x a for any two numbers a and b.
So, 8 x 9 = 72 = 9 x 8
Hence, she should buy 9 packs of pens, so she will have 9 x 8 = 72 pens.
And she should buy 8 packs of pencils, she will have 8 x 9 = 72 pencils.
