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RUDIKE [14]
3 years ago
10

Is the sequence 5, 9, 15, ... an arithmetic sequence? Explain. Type your answer below.

Mathematics
1 answer:
Kisachek [45]3 years ago
6 0
It is not an arithmetic sequence because an arithmetic sequence has to have an addition pattern, this doesn't. 5+4=9 but 9+4 doesnt equal 15. It would equal 13, then the squence would of looked like this 5,9,13. Between every number in the squence, it has to have the same number your adding in between
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I have 8 pennies and some quarters, nickels, and dimes. The number of pennies plus nickels equals the number of dimes. I have 3
Darina [25.2K]

There are five nickels.

Let <em>w</em> = the number of pennies; <em>x</em> = the number of nickels; <em>y</em> = the number of dimes; <em>z </em>= the number of quarters.

Then, we have three equations with four unknowns:

(1) <em>w</em> + <em>x = y </em>

(2) 3<em>w</em> = 2<em>z</em>

(3) 2<em>y</em> = 3<em>z</em>

However, there is a fourth <em>unstated </em>condition: <em>w</em>, <em>x</em>, y, and <em>z</em> must all be integers.

Assume that z = 6 (to avoid fractions).

From Equation (2), w = 4.

From Equation (3), y = 9.

Insert the values for <em>w</em> and <em>y</em> into equation (1).

4 + <em>x</em> = 9

x = 9 – 4 = 5

Thus, there are 4 pennies, 5 nickels, 9 dimes, and 6 quarters.

<em>Check</em>: 4 pennies + 5 nickels = 9 dimes

6 quarters + 4 pennies = 3 quarters for every 2 pennies

9 dimes + 6 quarters = 3 dimes for every 2 quarters

5 0
3 years ago
Read 2 more answers
A circle has a circumference of 6. It has an arc of length
Minchanka [31]

Answer:

Ф = CO/(6 units)

Step-by-step explanation:

The formula for arc length is s = rФ, where Ф is the central angle.  This can be solved for Ф, the central angle:

         

        arc length

Ф  = ------------------

            radius

If the given arc length is represented by CO, then the central angle is

Ф = CO/(6 units)

4 0
3 years ago
The area of a rectangle is represented by the polynomial x^2+3x-6x-18. What are the length, width, and area of the rectangle if
Nitella [24]

Answer:

Length = 15

Width = 6

Area = 90

Step-by-step explanation:

Area of the rectangle = {x}^{2}  + 3x - 6x - 18

Lets factorise the polynomial

=  >  x(x + 3) - 6(x + 3)

=  > (x  + 3)(x - 6)

We know that Area = Length × Width

Let the length be (x + 3) & width be (x - 6)

Its given in the question that x = 12. So putting the value of x gives ,

Length = x + 3 = 12 + 3 = 15

Width = x - 6 = 12 - 6 = 6

Area = Length × Width = 15 × 6 = 90

5 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST ANSWER IF CORRECT
Doss [256]
Y = 4x
hope that helps
-----------------
5 0
4 years ago
Read 2 more answers
Can someone please help me with this question!!!!!
Firlakuza [10]
I think it's C biceptor
5 0
3 years ago
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