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musickatia [10]
3 years ago
11

Selena's snow cone stand sells small snow cones for $2 and large snow cones for $3.50. One summer day, she sold $163 worth of sn

ow cones. If the number of snow cones sold was 12 more than the number of smalls, how many of each size did she sell
Mathematics
1 answer:
swat323 years ago
5 0

Answer: 22 small snow cones and 34 large snow cones were sold.

Step-by-step explanation:

Let x represent the number of small snow cones that were sold.

Let y represent the number of large snow cones that were sold.

Selena's snow cone stand sells small snow cones for $2 and large snow cones for $3.50. One summer day, she sold $163 worth of snow cones. This means that

2x + 3.5y = 163 - - - - - - - - - - 1

If the number of large snow cones sold was 12 more than the number of smalls snow cones, it means that

y = x + 12

Substituting y = x + 12 into equation 1, it becomes

2x + 3.5(x + 12) = 163

2x + 3.5x + 42 = 163

5.5x = 163 - 42

5.5x = 121

x = 121/.5 = 22

y = x + 12 = 22 + 12

y = 34

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60

Step-by-step explanation:

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2 years ago
While Diane was visiting her sister in Kingwood, she bought a bunch of balloons that was marked down 20% from an original price
shepuryov [24]

Answer:

$4.34

Step-by-step explanation:

Given the information:

  • The original price: $5
  • Discount : 20%
  • Tax: 8.5%

We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:

= the original price (100% - discount rate)

= 5(100% -20%)

= $4

  • The tax amount she need to pay is:

= The actual price*tax rate

= $4*8.5%

= $0.34

=> the total cost of the bunch of balloons :

The actual price + tax price

= $4 + $0.34

= $4.34

Hope it will find you well.

4 0
3 years ago
The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per
ICE Princess25 [194]

Answer:

1.76% probability that in one hour more than 5 clients arrive

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per hour.

This means that \mu = 2

What is the probability that in one hour more than 5 clients arrive

Either 5 or less clients arrive, or more than 5 do. The sum of the probabilities of these events is decimal 1. So

P(X \leq 5) + P(X > 5) = 1

We want P(X > 5). So

P(X > 5) = 1 - P(X \leq 5)

In which

P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353

P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707

P(X = 2) = \frac{e^{-2}*2^{2}}{(2)!} = 0.2707

P(X = 3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1804

P(X = 4) = \frac{e^{-2}*2^{4}}{(4)!} = 0.0902

P(X = 5) = \frac{e^{-2}*2^{5}}{(5)!} = 0.0361

P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.1353 + 0.2702 + 0.2702 + 0.1804 + 0.0902 + 0.0361 = 0.9824

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9824 = 0.0176

1.76% probability that in one hour more than 5 clients arrive

8 0
3 years ago
Read 2 more answers
Mrs.chen poured 5 liters of syrup equally into 8 jugs. How much syrup was there in each jug? Give the answer in liters correct t
irina [24]
5/8 of a liter of syrup, or 0.625
7 0
3 years ago
Help me with the question of o.math​
Lelu [443]

Answer:

Hello,

Answer 163

Step-by-step explanation:

1,7,16,28,43,..., 10th term=?

u_1=1,u_2=7,u_2-u_1=7-1=6=2*3\\u_3=16, u_3-u_2=16-7=9=3*3\\u_4=28, u_4-u_3=28-16=12=4*3\\u_5=43, u_5-u_4=43-28=15=5*3\\\\\boxed{ u_1=1, \ u_{n+1}-u_{n}=(n+1)*3}\\\\u_{10}=163\\

Download xls
7 0
3 years ago
Read 2 more answers
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