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otez555 [7]
2 years ago
15

The signs show the costs of different games at a math festival. How much would it cost n people to play Decimal Decisions and Ra

tio Rage?

Mathematics
1 answer:
Oduvanchick [21]2 years ago
7 0

Answer:

$(21.70 - \frac{3n}{4})

Step-by-step explanation:

See the sign attached to the question.

The sign shows the costs of different games at a math festival.

The Decimal Decision game costs $(12.70 - n + 9) for n people to play.

And, The Ratio Rage game costs $\frac{n}{4} for n peoples to play.

Therefore, it will cost $(21.70 - n + \frac{n}{4}) = (21.70 - \frac{3n}{4}) Dollars. (Answer)

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Pirate Jack has an equal number of gold and silver coins. If Pirate Jack splits all of his coins into 7 equal piles for his parr
Kipish [7]

Answer:

The least possible number of coins that Pirate Jack has is 77.

Step-by-step explanation:

i) let the number of coins in the piles for the parrots be x.

ii) therefore we can say that the total number of coins be 7x + 4

iii) let the number of coins in the piles for for the pirates be y.

iv) therefore we can say that the total number of coins be 11y + 4

v) therefore we can say that 7x + 4 = 11y + 4

vi) therefore 7x = 11y

vii) therefore the least possible number of coins that Pirate Jack has is equal to the LCM of 11 and 7 which is 77.

viii) x = 11 and  y = 7

3 0
2 years ago
Triangular numbers can be represented with equilateral triangles formed by dots. The first five triangular numbers are 1, 3, 6,
Novosadov [1.4K]
Position in the sequence    triangular number    relation

1                                          1                              1 = 1*(1+1)/2

2                                          3                              3 = 2(2+1)/2

3                                          6                              6 = 3(3+1)/2

4                                         10                            10 = 4(4+1)/2

5                                         15                              15= 5(5+1)/2

Call n the position in the sequence, then the triangular number is: n(n+1)/2
 



7 0
2 years ago
Read 3 more answers
Five years ago Jacob was one-sixth of the age of his brother. In three years time his age doubled will match his brother's. How
Marrrta [24]

Answer: Jacob is 7 years old.

Step-by-step explanation: 5 years ago, Jacob was 2 years old and his brother was 12. Now, in three years, Jacob will be 10 and his brother will be 20. To find the answer, you need a system of equations. The first equation will be 6(J-5) = B - 5, where J is Jacob's current age and B is his brother's. The next equation will be 2(J + 3) = B + 3. Now, just solve the equation. I gave you the answer, but please work through the problem so you understand it :D

7 0
2 years ago
Crop researchers plant 15 plots with a new variety of corn. The yields in bushels per acre are: 138.0 139.1 113.0 132.5 140.7 10
son4ous [18]
There is a relationship between confidence interval and standard deviation:
\theta=\overline{x} \pm \frac{z\sigma}{\sqrt{n}}
Where \overline{x} is the mean, \sigma is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first: 
\sigma=\sqrt{\frac{\sum(x-\overline{x})^2}{n}
When we do all the calculations we find that:
\overline{x}=123.8\\ \sigma=11.84
Now we can find confidence intervals:
($90\%,z=1.645): \theta=123.8 \pm \frac{1.645\cdot 11.84}{\sqrt{15}}=123.8 \pm5.0\\($95\%,z=1.960): \theta=123.8 \pm \frac{1.960\cdot 11.84}{\sqrt{15}}=123.8 \pm 5.99\\ ($99\%,z=2.576): \theta=123.8 \pm \frac{2.576\cdot 11.84}{\sqrt{15}}=123.8 \pm 7.87\\
We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing
6 0
2 years ago
last year chesa made 32-cups servings of soup for a school party.this year she will make two times the amount of soup that she m
Fed [463]
32x2 = 64

64 cups = 4 gallons
8 0
2 years ago
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