Given series is 2.4,-4.8,9.6,-19.2
To find whether it has common difference or common ratio let us find few differences and few ratios of consecutive terms.
Common difference of first 2 terms = 2nd term - first term = -4.8-2.4 = -7.2
Common difference of 2nd and 3rd terms = 3rd term - 2nd term = 9.6-(-4.8) = 14.4
Since those common differences are not equal the given series does not have common difference at all.
To check if it has common ratio or not let us find few ratios of consecutive terms.
Common ratio of first 2 terms =
= ![\frac{-4.8}{2.4} = -2](https://tex.z-dn.net/?f=%5Cfrac%7B-4.8%7D%7B2.4%7D%20%3D%20-2)
Common ratio of 2nd and 3rd terms = ![\frac{3rd term}{2nd term} = \frac{9.6}{-4.8} = -2.0](https://tex.z-dn.net/?f=%5Cfrac%7B3rd%20term%7D%7B2nd%20term%7D%20%3D%20%5Cfrac%7B9.6%7D%7B-4.8%7D%20%3D%20-2.0)
So, the given series has common ratio as -2.0
Answer:
a) y = 9.95(x-3) + 20.00
b) Cost of 5 software packages = $39.90
Step-by-step explanation:
Given that:
Cost of 3 software at sale = $20
Cost of regular = $9.95
Let,
x be the number of software purchased.
We will subtract 3 from x because they cost $20.
y be the total cost.
y = 9.95(x-3)+ 20.00
Putting x=5 in expression
y = 9.95(5-3) + 20.00
y = 2(9.95) + 20.00
y = 19.90 + 20.00
y = $39.90
Hence,
a) y = 9.95(x-3) + 20.00
b) Cost of 5 software packages = $39.90
You can add a lot of numbers (or so I think). One number I think you can add is 31.
Answer:
$110
Step-by-step explanation:
So first you have to do 15*4. We get the 4 from the admission fees and the 15 from the number of dances they attend. From this answer we can see the total of money they will be paying for admission for the 15 dances.
15*4=$60
However, our answer isn't just $50 as we are also told membership costs $50. So no we add $50 to $60, which gives us an answer of $110, which is the amount the member will pay if they attend 15 dances during the school year.
The measure of angle (m ∠A) is 136°
<h3>Vertical angles theorem</h3>
From the question, we are to find the measure of angle A
From the given information, we have that
∠A and ∠B are vertical angles
Thus
∠A = ∠B
and
Also, from the given information,
m ∠A=(2x+26)°
and
m ∠B= (3x−29)°
∴ (2x+26)° = (3x−29)°
Now, solve for x
2x + 26 = 3x - 29
26 + 29 = 3x - 2x
55 = x
∴ x = 55
But measure of angle A is given by
m ∠A=(2x+26)°
Put the value of x into the equation,
m ∠A=(2(55)+26)°
m ∠A=(110+26)°
m ∠A = 136°
Hence, the measure of angle (m ∠A) is 136°
Learn more on Vertical angle theorem here: brainly.com/question/24839702
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