Mathematics, 11.10.2019 22:30 Sabby5069

Andres has 10 more goldfish than todd. together, they have 50 goldfish. how many goldfish does each boy have?

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Let's go ahead and construct an equation to show this. Together, they have 50 goldfish. This can be represented as =50.

Since we don't know how many Todd has, we're going to make a variable. We'll name it T, for Todd.

What about Andres? How many does he have? 10 more than Todd. Well, if Todd's amount is T, and Andres has 10 more, we can express that as T+10.

Now, just put the two pieces together! T+10=50.

The next step is inverse operations. You want to find out how many T is, so you need to get rid of the 10. To take 10 away from something is doing what? Subtraction! Be warned, though; whatever you do to one side of the problem, you have to do to the other. 10-10 is 0, and 50-10 is 40. Since we took the 10 away and 50 is now 40, what you're left with is T=40.

Wait a second.. wasn't "T" Todd's amount? Yep! That means that Todd has 40 goldfish. And we already know that Andres has 10, so there's your answer!

Answer from: duke4527

Let Todd's fish = T

that would make

Andres fish = T + 10.

Together they have 50 fish so...
T + (T +10) = 50
2T + 10 = 50
2T = 40
T = 20

so Todd has 20 fish.

Remember Andres has
T + 10 fish, so...

T + 10 =
20 + 10 = 30

Andres has 30 fish

Check the problem by plugging the numbers into the original equation...

T + T + 10 = 50
20 + 20 + 10 = 50
50 = 50

It checks!

Answer from: Quest

d. all of the above

step-by-step explanation:

Answer from: Quest

Hello!

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

why?

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

$3x-6$

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

$3x-6=0$

$3x=6$

$x=\frac{6}{3}=2$

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

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Andres has 10 more goldfish than todd. together, they have 50 goldfish. how many goldfish does each...

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