Answer: 24m-28
Step-by-step explanation:
According to the distributive property ,
, where a, b and c are any arbitrary expressions.
Given expression : 
By using distributive property , we have
![(6m - 7)\cdot 4= (6m)(4)-(7)(4)\\\\= (6)(4)(m)-28 \ \ \ [\text{By associative property}]\\\\=24m-28](https://tex.z-dn.net/?f=%286m%20-%207%29%5Ccdot%204%3D%20%286m%29%284%29-%287%29%284%29%5C%5C%5C%5C%3D%20%286%29%284%29%28m%29-28%20%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20associative%20property%7D%5D%5C%5C%5C%5C%3D24m-28)
Hence, the required equivalent expression is 24m-28.
Put the given information into the formula and solve for the variable of interest.
.. V = π*r^2*h
.. 252π = π*r^2*7
.. (252π)/(7π) = r^2
.. 36 = r^2
.. 6 = r
The radius is 6 cm. Selection D is appropriate.
_____
We would prefer that the offered selections had the appropriate cm units attached.
You know where the glacier is now, and how far it moves in
one year. The question is asking how close to the sea it will be
after many years.
Step-1 ... you have to find out how many years
Step-2 ... you have to figure out how far it moves in that many years
Step-3 ... you have to figure out where it is after it moves that far
The first time I worked this problem, I left out the most important
step ... READ the problem carefully and make SURE you know
the real question. The first time I worked the problem, I thought
I was done after Step-2.
============================
Step-1: How many years is it from 2010 to 2030 ?
(2030 - 2010) = 20 years .
Step-2: How far will the glacier move in 20 years ?
It moves 0.004 mile in 1 year.
In 20 years, it moves 0.004 mile 20 times
0.004 x 20 = 0.08 mile
Step-3: How far will it be from the sea after all those years ?
In 2010, when we started watching it, it was 6.9 miles
from the sea.
The glacier moves toward the sea.
In 20 years, it will be 0.08 mile closer to the sea.
How close will it be ?
6.9 miles - 0.08 mile = 6.82 miles (if it doesn't melt)
The easiest way to calculate this, since you don't need to know what the discount is, if the decrease is 4% you still have 96%.
Multiply 29,000 x .96= $27,840.
If you do it the other way, .04 x 29000= 1160. Then subtract 29000-1160=27850.
Solutions
To solve the problem the first step is to m<span>ultiply the whole number by the fraction's denominator (4 x 3).Add the numerator (2) to the product.
4 * 3 = 12
12 + 2 = 14
= 14/3 </span>
