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umka21 [38]
3 years ago
6

The lee's have three children. the oldest is twice as old as the youngest. the middle child is five years older than the younges

t. if the sum of the ages is 57, how old is each child?
Mathematics
1 answer:
frutty [35]3 years ago
5 0
What do we know about this problem? What do we want to find? We haven't been given any direct numbers, but we <em>have </em>been given some relationships between them. Both the second and the third sentences here refer to the age of the youngest sibling. This seems important - let's call that age y, for "youngest." We'll call the age of the middle child m for "middle" and the age of the oldest o. The last sentence tells us that these all add up to 57, which, using our new labels, gives us the mathematical statement

y+m+o=57

This is a good start, but we can't really do anything with it yet. Let's try to get everything in terms of one label. What information can we use to get us there?

<em>"The oldest is twice as old as the youngest."</em> This statement relates the oldest's age o to the youngest's age y. Mathematically, it says that o = 2 \times y, or o=2y if we wanna write a little more efficiently.

<em /><em>"The middle child is five years older than the youngest."</em> Straightforward enough; if we take the youngest's age y and add 5 years, we get the middle's age m. Mathematically, m=y+5.

Now, let's go back to our sum. Now, <em>we can put everything in terms of y.

</em>y+m+o=57 becomes y+(y+5)+2y=57. After a little housekeeping, we get:
<em>
</em>4y+5=57
<em>
</em>And solving for y, we arrive at:
<em>
</em>4y=52\\ y=13
<em>
</em>The youngest sibling is 13 years old. With that information, we can easily find that the middle sibling is 13 + 5 = 18 years old, and the oldest sibling is 2 x 13 = 26 years old.<em>
</em>
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mrs_skeptik [129]
BOTH    they both are correct bc they both state the same thing     perimeter is both length+ both width's so l+l+w+w=2l+2w

3 0
3 years ago
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Using concepts of the inverse function, it is found that:

The domain of f(x) has to be restricted to x >= 1. Under this restriction, the domain of f-1(x), would be (2,∞), having the same minimum value as the original function f(x).

<h3>How to find the inverse of an equation or a function?</h3>

To find the inverse, we have to exchange x and y and then isolate y. This can only happen if the function f(x) is injective, that is, each value of the output is related to only one value of the input. Then:

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Researching this problem on the internet, we are given an absolute value function with vertex at x = 1, meaning that for the inverse, the domain of f(x) has to be restricted to x >= 1. The domain of the inverse would be the range of f(x), which is (2,∞).

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6 0
1 year ago
PLS HELP SHOW ALL YOUR WORKING OUT AND BRAINLIEST WILL BE AWARDED
hammer [34]

Answer:

5.97 cm  to 3 significant figures.

Step-by-step explanation:

The diameter of the circle will be equal to the length of the diagonal of the square.

Area = 56 = πr^2

r^2 = 56 / π

r = √(56 / π) =  4.222 cm

So the diameter = 8.444 cm.

This  is  = diagonal of the square so, by The Pythagoras Theorem:

x^2 + x^2 = 8.444^2     where x  is the side of the square.

x^2 = (8.444)^2 / 2

x^2 = 35.651

x =  5.971 cm

4 0
3 years ago
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Shtirlitz [24]
8.394-2.199= 6.195 but rounded to the nearest hundred is 6.2
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