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Yakvenalex [24]
2 years ago
11

The sum of two numbers is 120. Three times

Mathematics
1 answer:
alexgriva [62]2 years ago
6 0

Answer:

The answer is 68 and 52

Step-by-step explanation:

x + y = 120

3(x - y ) = 48

We have 3x + 3y = 360

and 3x - 3y = 48

Adding we have the following:

6x = 408

x = 68

y = 120-48 = 52

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The first term of a geometric sequence is equal to a and the common ratio of the sequence is r.
ololo11 [35]

Answer: (a)  {a, ar, ar², ar³, ar⁴, ar⁵...}, (b)  arⁿ⁻¹

For part (a), the question gives us the first term a, and then asks us to apply the common ratio r six times.

In order for ar = a, the nth term of r will have to equal 0 (this implies that n is an exponent; thus giving us the first term a, as r = 1).

Since we use this method on the first term, we must use it for the next five, in which r gains an additional exponent for every consecutive value (nth term) thereafter.  

Ultimately getting: {a, ar, ar², ar³, ar⁴, ar⁵...}

For part (b), we first have to understand that the sequence does not start at 0, but at 1 for n. In order for ar = a, with n = 1, there needs to be subtraction of -1 within the exponent. So that arⁿ⁻¹

If we check and apply this, we can see that:

{ar¹⁻¹, ar²⁻¹, ar³⁻¹, ar⁴⁻¹, ar⁵⁻¹, ar⁶⁻¹...} = {a, ar, ar², ar³, ar⁴, ar⁵...} = arⁿ⁻¹ = Tn

4 0
3 years ago
Please help me simplify these expressions
Archy [21]

Answer:

Step-by-step explanation:

If base of variable is same, add the powers

1) x² * x * x³ * x⁵ = x²⁺¹⁺³⁺⁵ = x¹¹

2) -2n² * -n⁴ * 5n³ = (-2* -1*  5 ) *n²⁺⁴⁺³ = 10n⁹

3)-3x⁴ * 2x⁵ * - x = (-3 * 2 * -1)* x⁵⁺⁴⁺¹ = 6x¹⁰

5 0
3 years ago
Read 2 more answers
Three green jelly bean, five red jelly beans and two orange jelly bean are in a bag.
IrinaVladis [17]

Answer:

3/50

Step-by-step explanation:

3 g, 5 r, 2 o

3 + 5 + 2 = 10

Orange = 2 jelly beans

Probability of selecting an orange jelly bean: 2/10 or 1/5

If you put the jelly bean back in, there is still 10 jelly beans.

Green = 3 jelly beans

Probability of selecting a green jelly bean: 3/10

Multiply the probabilities:

1/5 x 3/10

= 3/50

7 0
3 years ago
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Which function has a greater rate of change that the function represented in the table
Galina-37 [17]

I don't see a table


3 0
2 years ago
John was given a math equation. He completed it in 5 seconds. Is his answer correct? If it is, show how he got the answer. Show
Maru [420]

Yes; his answer is correct.

John can do this by multiple ways, but most likely he just remembered this one. Here are some ways.

1. He used his fingers; he put 1 finger, then another finger, and got 2 fingers up. The answer is 2.

2. He remembered it; usually Kindergarteners learn this and this is very easy to remember.

3. He used the things around him; I have 1 crayon then add another, how many do I have? 2.

7 0
3 years ago
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