Answer:
a) 1 cupcake = $5.50
b) 1 Popsicle = $3.50
Step-by-step explanation:
Let s = cost of one soda
Let c = cost of one cupcake
Let p = cost of one Popsicle
From the given information we can create 3 equations:
- Equation 1: s + c + p = 22
- Equation 2: s + 3c + 3p = 40
- Equation 3: c = p + 2
Subtract Equation 1 from Equation 2 to eliminate the variable s:
s + 3c + 3p = 40
<u>- s + c + p = 22</u>
<u> 2c + 2p = 18</u>
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Substitute Equation 3 into this new equation and solve for p:
⇒ 2c + 2p = 18
⇒ 2(p + 2) + 2p = 18
⇒ 2p + 4 + 2p = 18
⇒ 4p = 14
⇒ p = 3.5
Substitute the found value of p into Equation 3 and solve for c:
⇒ c = p + 2
⇒ c = 3.5 + 2
⇒ c = 5.5
To find the cost of a soda (s), substitute the found values of p and c into Equation 1:
⇒ s + c + p = 22
⇒ s + 5.5 + 3.5 = 22
⇒ s = 13
Therefore,
- 1 soda costs $13
- 1 cupcake costs $5.50
- 1 Popsicle costs $3.50
Answer:
Answer is 
Step-by-step explanation:
It is 29 in place of 27 . and Its a geometric series with first term 27 and common ratio 
and general formula for given sequence is given by 
so plugging the value of a and r ,we get
![27 ([tex]\frac{1}{3}](https://tex.z-dn.net/?f=27%20%28%5Btex%5D%5Cfrac%7B1%7D%7B3%7D)
)^{n-1}[/tex]
Answer:
The ride lasts 10 minutes.
Step-by-step explanation:
The triangle that is formed is attached.
In order to find out how long the ride lasts, we need to figure out the horizontal distance 
From trigonometry we have:
Therefore
Now the amount of time 
the gondola ride lasts is equal to the distance 
divided by the speed of the gondola:
To the nearest minute this is 10 minutes.
Part C:
y = total cost
M = minutes
You can talk on the phone only 100 minutes per month
Company A:
y = 0.04M + 5
y = 0.04(100) + 5
y = 4 + 5
y = 9 $9 per month
Company B:
y = 0.10M + 2
y = 0.10(100) + 2
y = 10 + 2
y = 12 $12 per month
Company A offers the best deal because at Company A you have to pay $9 for 100 minutes per month, and at Company B you have to pay $12 for 100 minutes per month, so you have to pay $3 less.
Part D:
1.) With a budget of $30, Company A would allow me to talk longer on the phone. I know this because for Company A, you pay $3 less per month for the same amount of minutes as Company B. This means that I will save more money with Company A, and I can buy more minutes. (something like this)
