Answer:
Blake will jog 12 blocks
Step-by-step explanation:
Allison : Blake = 3 : 2
If they keep jogging at the same rate, how many blocks will Blake jog if Allison jogs 18 blocks?
Allison : Blake = 18 : x
Equate the ratios
3 : 2 = 18 : x
3/2 = 18/x
Cross multiply
3 * x = 2 * 18
3x = 36
Divide both sides by 3
x = 36 / 3
= 12
x = 12
Blake will jog 12 blocks
It represents a geometric sequence because it has a common ratio of 2.
In fact, a sequence is said to be geometric if any two adjacent elements are in the same ratio. In other words, if you choose any index
and consider the two consecutive terms
and
, you have

no matter which index you chose. In your case, the next term in the sequence is always the double of the previous one, so the ratio between two consecutive terms is always 2, and the series is geometric with common ratio 2
Answer:
6.5 boxes
Step-by-step explanation:
Given
See attachment for closet
Required
Determine the number of boxes needed to fill the closet
First, we calculate the volume of the two section.
According to the attachment
The first section has the following dimension:



The second has the following dimension:
---- see the last label at the top
--- This is calculated by subtracting the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft

So: The volume of the closet is:




The number of box needed is then calculated by dividing the volume of the closet (208ft^3) by the volume of each box (32ft^3)



Y = -4/3x -1/2 , perpendicular slopes are opposite reciprocals
The answer to this is .5 or 1/2.