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Deffense [45]
3 years ago
10

The sum of two numbers is 39 . The larger number is 19 more than the smaller number. What are the numbers?

Mathematics
2 answers:
4vir4ik [10]3 years ago
8 0

ANSWER: The numbers are 20 and 19

39-19= 20

20+19= 39

Rasek [7]3 years ago
8 0

Answer:

i think the numbers are 10 and 29

Step-by-step explanation:

if one of the numbers is 19 more than the other: x+x+19=39

if you simplify you get: 2x+19=39

subtract 19 from both sides and you get: 2x=20

divide by 2 on both sides and you get: x=10

if one of the numbers is 10 and the other number is 19 more than 10 then 10+19=29

and 29+10=39

hope this helps! please ask questions if you need clarification

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UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each
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Answer:

1. 20 pounds

2. $11

Step-by-step explanation:

To set this up, you have to use a system of equations. It would look like this, where p is pounds and t is total cost:

UPS: t=7+0.20p

FedEx: t=5+0.30p

In order to solve a system of equations you must either a.) graph it, or b.) set them equal to each other.

If you graph it, the answer is where the two lines intersect.

If you set them equal to each other, solve it.

I will set them equal to each other in this:

7+0.20p=5+0.30p

The first step in a problem like this, where there's the same variable on both sides, is to subtract the smaller variable from both sides. In this case, it is  0.20x. That would turn the equation into:

7=5+0.10p

After that, you must solve it like a regular two-step equation.

Start by subtracting 5 from both sides:

2=0.10p

Now, you must divide both sides by 0.10.

\frac{2}{0.10}=\frac{0.10p}{0.10}

That would give us:

20=p

This means that in order for the prices to be the same, the package must be 20 pounds.

Now in order to find the total cost, you must plug 20 into one of the equations. It doesn't matter which, since they both equal the same. I will plug it into the FedEx equation:

t=5+0.30(20)

Now you can just use a calculator and solve that or do it by hand. Multiply 0.30 by 20, to get 6, then add 5, which equals 11.

You should get: t=11.

This means that the total cost, when the costs are the same for both FedEx and UPS, is $11.

3 0
3 years ago
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