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Veseljchak [2.6K]
3 years ago
15

Seo-Yun hosted a party. She had 50 party favors to give away, and she gave 3 party favors to each of her guests

Mathematics
1 answer:
fgiga [73]3 years ago
7 0

Answer:

Arithmetic sequence

Step-by-step explanation:

-We notice that the difference between the number of favors already given out between any two consecutive number of party guests has an additive increment.

-This increment is called the Common Difference and has a value of 3.

-The number of tickets available is 50.

Hence, the number of tickets already given out can be calculated using the formula:

a_n=-dn+S_n\\\\n= n^{th} \ guest\\d=common \ difference\\S_n=Total \ tickets \ available\\\\\therefore a_n=-3n+50

Hence, this is an Arithmetic Sequence.

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Mariulka [41]
It will take planet Hulu 1744 hours and 30 mins to do a full rotation
3 0
3 years ago
A radioactive substance decays exponentially. A scientist begins with 110 milligrams of a radioactive substance. After 20 hours,
SpyIntel [72]

Answer:

  44.7 mg

Step-by-step explanation:

The equation for exponential decay can be written in the form ...

  y = a·b^(t/p)

where 'a' is the initial value, 'b' is the decay factor, 'p' is the period over which the decay factor is applicable, and t is time in the same units as p.

<h3>Setup</h3>

Using the above equation, we have ...

  a = initial value = 110 mg

  b = decay factor = 55/110 = 1/2 over time period p=20 hours

Then the equation is ...

  y = 110·(1/2)^(t/20) . . . . amount remaining after t hours

<h3>Solution</h3>

We want the amount remaining after 26 hours. That will be ...

  y = 110·(1/2)^(26/20) ≈ 44.67

About 44.7 milligrams will remain after 26 hours.

4 0
1 year ago
Find the value of the variables ​
Vedmedyk [2.9K]

Answer:

x = 15

y = 12

z = 20

Step-by-step explanation:

For right angle x^2 + z^2 = (9 + 16)^2 => x^2 + z^2 = 625

then z^2 = y^2 + 16^2 => y^2 = z^2 - 256

and x^2 = y^2 + 9^2 => y^2 = x^2 - 81

so z^2 - 256 = x^2 - 81

z^2 = x^2 + 175

replace z^2 = x^2 + 175 into the first equation

x^2 + (x^2 + 175) = 625

2x^2 = 450

x^2 = 225

x = 15

If x = 15 => 15^2 + z^2 = 625 => z^2 = 400 => z = 20

y^2 = z^2 - 256 => y^2 = 400 - 256 = 144

then y = 12

8 0
2 years ago
25 points
Andrei [34K]

Answer:

34 + x = 70 ; 36

Step-by-step explanation:

Given that:

Current amount = 34

Final amount = 70

Number of roses planted by the workers today ;

Current amount + number planted today = final amount

Let number planted today = x

34 + x = 70

x = 70 - 34

x = 36

7 0
3 years ago
Solve the two-step equation.<br> - 2/3 x - 21/4 = 27/4
Natasha_Volkova [10]

Answer:

x = -18

I hope this helps!

6 0
3 years ago
Read 2 more answers
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