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lys-0071 [83]
3 years ago
5

HELP ASAP The table shows a proportional relationship between the number of meals and the cans of food used to prepare the meals

. What is the constant of proportionality for meals to cans?
Cans of Food 2 4 6
Number of Meals 4 8 12


A. 2
B. 4
C. 8
D. 32
Mathematics
1 answer:
TEA [102]3 years ago
3 0

The correct answer to this question is A: 2. Based on this table, you can see that 2 cans of food = 4 meals, and 4 cans of food = 8 meals. This means each can of food can provide 2 meals. I hope this helped!

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Given a data set consisting of 33 unique whole number observations, its five-number summary is:
Lemur [1.5K]

Answer:

given a data set of 33 unique whole number observation,its five number sumary is [16, 29, 40 ,54, 67]

Step-by-step explanation:

The p-th percentile in an ordered (from low to high) data set is a value such that p% of the data is less than that value. The quartiles of a data set are the 25th, 50th and 75th percentiles. (The 25th percentile is usually called the first quartile, the 50th percentile is usually called the median, and the 75th percentile is usually called the third quartile.)

The formula for finding the location (or position) of the (approximate) pth percentile in an ordered (from low to high) data set is  

L p=(n+1).p/100

For example, in the data set  [2,4,6,8,10,12,14,16,18]

the (approximate) 60th percentile is located at position  

L 60=(9+1).60/100=6

that is, the sixth data point (the value 12) is at the (approximate) 60th percentile.(Actually, only 55.6% of the data is below a 12.)

3 0
3 years ago
A bakery the price of the cake is nine dollars more than the price of a pie. One day the bakery sold 8 cakes and 14 pies for a t
gavmur [86]

Answer:

The price of the cake is $24 and the price of the Pie is $15

Step-by-step explanation:

Given

<em>Represent price of Cake with C and Price of Pie with P</em>

C = 9 + P

Cakes sold = 8

Pies sold = 14

Total = \$402

Required

Determine C and P

To represent the cakes and pies sold, we have the following expression

8C + 14P = 402

Substitute 9 + P for C

8(9+P) + 14P = 402

Open the bracket

72 + 8P + 14P = 402

Collect Like Terms

8P + 14P = 402 - 72

22P= 330

Divide both sides by 22

P = \frac{330}{22}

P = 15

Recall that

C = 9 + P

C = 9 + 15

C = 24

<em>Hence, the price of the cake is $24 and the price of the Pie is $15</em>

7 0
3 years ago
What solid 3D object is produced by rotating the rectangle about line m?
Sonbull [250]

Answer:

b) a cylinder with diameter of 4

Step-by-step explanation:

the square is being rotated about the line m, the sides of the rectangle being cut by the line, have a total length of 4which would be the diameter of the cylinder

6 0
3 years ago
Read 2 more answers
A certain right triangle has area 30 in. squared . one leg of the triangle measures 1 in. less than the hypotenuse. let x repres
Brut [27]
A) The length of the longer leg is x-1

b) Based on the area, the other leg is 2*30/(x -1). Based on the Pythagorean theorem, the other leg is √(x^2 -(x -1)^2).

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.. 60/(x -1) = √(2x -1)
.. 3600/(x -1)^2 = (2x -1)
.. (2x -1)(x^2 -2x +1) = 3600
.. 2x^3 -5x^2 +4x -3601 = 0

d) There is one positive real root, at x=13. A graphical solution works well.

The three sides of the triangle are 5 in, 12 in, 13 in.


_____
5-12-13 is a well-known Pythagorean triple. It is the next smallest one after 3-4-5.

6 0
3 years ago
If the area of a circle is 81π, then what is the diameter of the circle?​
viva [34]

Answer:

18

Step-by-step explanation:

81π=πr^2

r= 9,-9

9+9=18

7 0
2 years ago
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