Answer:
Yes
Yes
No
No
Top to bottom
Step-by-step explanation:
fractions:
Fraction is a part of a whole, for example 1/2. Equivalent fractions are fractions that look different but show the same amount. Improper fractions have numerators that are higher than the denominator, while mixed fractions contain whole numbers and fractions.
In order to compare fractions, you need to change them so they have the same denominator. Fractions can be converted into decimals. You need to be able to work out a fraction of a given quantity.
Fractions of a quantity
How do we find 3/5 of 20?
Method 1 is to find 1/5 of 20, then multiply by 3.
1/5 of 20 is 20 ÷ 5 = 4.
We need 3/5 of 20, so we multiply 4 by 3.
3/5 of 20 = 4 × 3 = 12.
you can put this in your calculator:
3/5<span> × 20 = </span>3/5<span> × </span>20/1<span> = </span>60/5<span> = 12</span>
Answer:
Step-by-step explanation:
Represent the length of one side of the base be s and the height by h. Then the volume of the box is V = s^2*h; this is to be maximized.
The constraints are as follows: 2s + h = 114 in. Solving for h, we get 114 - 2s = h.
Substituting 114 - 2s for h in the volume formula, we obtain:
V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)
This is to be maximized. To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:
dV
----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2
ds
Simplifying this, we get dV/ds = -4s^2 + 114s = 0. Then either s = 28.5 or s = 0.
Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in
and the volume is V = s^2(h) = 46,298.25 in^3
Answer:
8 billion > 8,000,000,000
977 thousand > 977,000
13> 13
8,000,977,013
Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
you will go like sum of frequency multiplied by score divided by sum of frequency
