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7nadin3 [17]
3 years ago
5

Plz help me I don’t understand this

Mathematics
2 answers:
Helga [31]3 years ago
4 0

We need to solve the problem by algebra which is taught in most schools.

In algebra, most of the time, we call the number we're looking for as "x", which we don't know yet. Using "x", we formulate an equation according to what is given, which is O has 32 stamps, and S has 154.

When each of them bought x stamps, O has 32+x, and S has 154+x.

We're also told that S now has 3 times as many as O, so the equation goes

154+x = 3(32+x) .......(1) from which x can be solved.

We first expand both sides.

154+x = 96+3x (called the distribution property)

Now subtract x from each side,

154+x-x=96+3x-x => 154 = 96+2x

Now subtract 96 from each side, and simplify as above

154-96 = 2x

simplify again

58=2x

divide by two on each side,

x=29.

Let's check: 3*(32+29)=3*(61)=183 = 154+29, so the answer is correct.

Since they bought EACH 29 stamps, the bought a total of 2*29=58 stamps (which happens to be the difference of number of stamps at the beginning).


hram777 [196]3 years ago
3 0
493 Stan for all buy
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Solnce55 [7]

Answer:

\frac{2}{9} x

Step-by-step explanation:

To find slope using two points you need to find the difference in x and y. You use \frac{y_{2}-y_{1}}{x_{2}-x_{1} }

So, 2-0=2 and 5-(-4)=9. Therefore the slope is 2/9x

3 0
3 years ago
Here are some values of sequence Q. Write a recursive definition for the sequence.
Rashid [163]

Answer: Q(n) = Q(n - 1) + 2.5

Step-by-step explanation:

We have 3 values of the sequence Q(n)

These values are:

Q(1) = 3

Q(3) = 8

Q(7) = 18

I would think that this is a geometric sequence.

Remember that the equation for the n-th term of a geometric sequence is:

A(n) = A(1)*r^(n-1)

where r is a constant, and A(1) is the first term of the sequence.

If we rewrite the terms that we know of Q(n) in this way we get:

Q(3) = Q(1)*r^(3 - 1) = 3*r^2 = 8

Q(7) = Q(1)*r^(7 - 1) = 3*r^6 = 18

Then we have two equations:

3*r^2 = 8

3*r^6 = 18

We should see if r is the same for both equations:

in the first one we get:

r^2 = 8/3

r = (8/3)^(1/2) = 1.63

and in the other equation we get:

r^6 = 18/3

r = (18/3)^(1/6) = 1.34

Then this is not a geometric sequence.

Now let's see if this is an arithmetic sequence.

The n-th term of an arithmetic sequence is written as:

A(n) = A(1) + (n - 1)*d

where d is a constant.

If we write the terms of Q(n) that we know in this way we get:

Q(3) = Q(1) + (3 - 1)*d = 3 + 2*d = 8

Q(7) = Q(1) + (7 - 1)*d = 3 + 6*d = 18

We need to see if d is the same value for both equations.

in the first one we get:

3 + 2*d = 8

2*d = 8 - 3 = 5

d = 5/2 = 2.5

In the second equation we get:

3 + 6*d = 18

6*d = 18 - 3 = 15

d = 15/6 = 2.5

d is the same for both terms, then this is an arithmetic sequence.

An arithmetic sequence is a sequence where the difference between any two consecutive terms is always the same value (d)

Then the recursive relation is written as:

A(n) = A(n - 1) + d

Then the recursive relation for Q is:

Q(n) = Q(n - 1) + 2.5

4 0
3 years ago
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allochka39001 [22]

Step-by-step explanation:

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2 years ago
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Misha Larkins [42]

Answer: (-19/80, -1/2)

Step By Step Explanation:

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