Arope is cut into 3 pieces p, q and r. the lengths of the pieces are in the ratio 3: 5: 7. if the rope is 33 feet 9 inches long, find the lengths of p, q,and r

If the pieces are cut in the ratio 3:5:7, the proportion of each piece to the whole (represented by 3+5+7=15) is:

3/15:5/15:7/15

First, convert the inches to feet also:

1 foot equals to 12 inches.

So 9 inches =9/12×1=0.75 feet.

Thus, 33 feet and 9 inches equal 33+0.75=33.75 feet.

So,

P=3/15×33.75=6.75 feet.

Q=5/15×33.75=11.25 feet.

R=7/15×33.75=15.75 feet.

You can check that these answers are correct by adding up the different pieces: 6.75+11.25+15.75=33.75

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.