Answer:
Step-by-step explanation:
Given
Let R represents rows and C represents Columns
When R = 8, C = 25
When R = 10, C = 20
Required
Given that there exist an inverse variation, determine the constant of proportionality;
We start by representing the variation;
Convert proportion to an equation
Where k is the constant of proportion;
Multiply both sides by C
Reorder
<em>When R = 8, C = 25;</em>
<em>The equation </em> <em>becomes</em>
<em>When R = 10, C = 20;</em>
<em>The equation </em> <em>becomes</em>
Hence, the concept of proportionality is 200
Answer:
The answer is 1,000
SInce the beginning number is 3 and there are ten possible numbers to put in the remaining three slots, there are exactly 1,000 possible combinations for a 3-digit code. The answer is 1,000. There are 3 rows of 10 digits. The number of combinations 10 to the thid power which is 1000 (10 * 10 * 10)
1. 12 inches
2. 382.5 miles
3. 12.5 feet
4. 8 inches
5. 11.2
6. 9.6 gallons
7. $108
8. 4.5
I hope I helped!!
1.25 times 15 will get you how much she has used, and then subtract that from 35.4 to get the amount left in the bottle
Answer:
Step-by-step explanation:
First I want to set up some variables.
S = sum
n = final term
ax = xth term, so a1 is the first term and an is the last one
d = common difference.
There are two formulas to find the sum, if you don't get how they were gotten I'd be happy to explain.
S = (n/2)(a1+an) = (n/2)(2a1+(n-1)d)
So, to find n we use the first one.
S = (n/2)(a1+an)
123 = (n/2)(8+33)
123 = (n/2)41
3 = n/2
6 = n
Now we can find d with the other one
S = (n/2)(2a1+(n-1)d)
123 = (6/2)(2*8+(6-1)d)
123 = 3(16+5d)
41 = 16+5d
25 = 5d
5 = d
so there are six terms and the common difference is 5.
