Thi is designing a patio with bricks that are 8 inches and 12 inches in length. thi wants to use alternating rows of 8-inch and 12-inch bricks. if she uses up to 9 bricks in a row what are some combinations of 8-inch and 12-inch bricks that will produce rows of equal length?

Answer-

(3 , 2) is the only possible combination of 8-inch and 12-inch bricks that Will Produce rows of equal Length.

Solution-

Thi is designing a patio with bricks that are 8 inches and 12 inches in length. She wants to use both the bricks.

As she decides to use alternating rows of both the brick with same length of patio,

So we can calculate the number of bricks needed by calculate the LCM,

LCM of 8 and 12 is 24.

So length of the rows of the patio must be a multiple of 24 in order to make all the length of the rows of the patio same.

Now, we have to calculate the number of bricks of each categories,

so number of bricks of 8 inches (if the length is 24 inches) =

and number of bricks of 12 inches (if the length is 24 inches) =  

Hence, the number of 8 inches bricks will be a multiple of 3 and the number of 12 inches bricks will be a multiple of 2.

Then the possible combinations of 8-inch and 12-inch bricks that produce rows of equal length of patio are (3,2),(6,4),(9,6),(12,8) and so on.

It is also given that she uses up to 9 bricks in a row,

So (3,2) is the only possible combination. ( ∵ As all the other combinations need more than 9 bricks)

answer: 1, 3 and 5 are correct

step-by-step explanation:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.