Cate wants to buy calzones and sodas for her friends she finds that when she buys two calzones and three sodas she pays $13 when
she buys three calzones and two sodas she pays $17 the prices for a calzone c and a soda s can be found with the following system of equations 2c+3s=13 write the prices for a calzone and for soda as an ordered pair (c,s) 3c+2s=17 Help!!
1 answer:
Answer:
The prices for a calzone and for soda as an ordered pair (c,s) is (5,1)
Step-by-step explanation:
Let c be the prize of calazone
Let s be the prize of soda
She buys two calzones and three sodas she pays $13
So, 2c+3s=13
She buys three calzones and two sodas she pays $17
So, 3c+2s=17
Plot the equations on graph
2c+3s=13 --- Green
3c+2s=17 --- Blue
Intersection point will give the intersection point
So,(c,s)=(5,1)
So, Option c is correct
The prices for a calzone and for soda as an ordered pair (c,s) is (5,1)
You might be interested in
The answer is 7.9306
Using the formula in the attached:
Where: xi = sample value; μ = sample mean; n = sample size
1.) Calculate the mean first:
μ = 12.0 + 18.3 + 29.6 + 14.3 + 27.8 / 5
= 102 / 5
μ = 20.4
2.) Using the mean, calculate (xi - μ)² for each value:
(12.0 - 20.4)² = 70.56
(18.3 - 20.4)² = 4.41
(29.6 - 20.4)² = 84.64
(14.3 - 20.4)² = 37.21
(27.8 - 20.4)² = 54.76
3.) Sum the squared differences and divide by n - 1.
μ = 70.56 + 4.41 + 84.64 + 37.21 + 54.76
= 251.58 / 5-1
μ = 62.895 (this is now called sample variance)
4.) Get the square root of the sample variance:
√62.895 = 7.9306
Using the formula in the attached:
Where: xi = sample value; μ = sample mean; n = sample size
1.) Calculate the mean first:
μ = 12.0 + 18.3 + 29.6 + 14.3 + 27.8 / 5
= 102 / 5
μ = 20.4
2.) Using the mean, calculate (xi - μ)² for each value:
(12.0 - 20.4)² = 70.56
(18.3 - 20.4)² = 4.41
(29.6 - 20.4)² = 84.64
(14.3 - 20.4)² = 37.21
(27.8 - 20.4)² = 54.76
3.) Sum the squared differences and divide by n - 1.
μ = 70.56 + 4.41 + 84.64 + 37.21 + 54.76
= 251.58 / 5-1
μ = 62.895 (this is now called sample variance)
4.) Get the square root of the sample variance:
√62.895 = 7.9306