Mathematics, 09.07.2019 21:00 gabrielaelisa224

Ineed ! three packages are being mailed. two are identical, but the third is 2 pounds heavier. together, they weigh 62 pounds. what is the weight of the heaviest package?

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We are told that three packages are being mailed. Two of them weigh the same, and one is two pounds heavier. All three weigh 62 pounds.

Let w be the weight of one of the packages. Let's make w be the weight of the two packages that weigh the same amount. The third package, two pounds heavier, weighs w + 2 pounds.

Now we take our three packages - w, w, and w +2, and find their total weight. We are told they weigh 62 pounds.

w + w + w +2 = 62 <weights of all three packages totaling 62 pounds

3w + 2 = 62 <combine like terms

3w = 60 <subtract 2 on both sides

w = 20 <divide both sides by 3

We put w back into our weights of w, w, and w +2. So the packages weigh 20 pounds, 20 pounds, and 20 + 2 = 22 pounds.

Therefore the heaviest package weighs 22 pounds, and the other two weigh 20 pounds.

Answer from: Quest

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!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

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:

$y=\frac{x}{2}$

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.

Answer from: Quest

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