The cost of cupcakes is $1.25 and cookies costs $0.90.
Two equations that would be used to determine the required values can be derived from this question:
20x + 40y = 61 equation 1
30x + 30y = 64.50 equation 2
In order to determine the value of y, the following steps would be taken: Multiply equation 1 by 3 and equation 2 by 2.
60x + 120y = 183 equation 3
60x + 60y = 129 equation 4
Subtract equation 4 from 3
60y = 54
Divide both sides of the equation by 60
y = $0.90
Substitute for y in equation 1
20x + 40(0.9) = 61
20x + 36 = 61
20x = 61 - 36
20x = 25
x = 25 / 20
x = $1.25
To learn more about simultaneous equations, please check: : brainly.com/question/25739929
Answer:
A statistic is a characteristic of a sample, a portion of the target population. A parameter is a fixed, unknown numerical value, while the statistic is a known number and a variable which depends on the portion of the population.
Answer:
2/7
Step-by-step explanation:
Answer:
The constant of variation is
.
Step-by-step explanation:
Given : The quantity n varies jointly with the product of z and the square of the sum of x and y When n is 18, x = 2, y = 1, and z = 3.
To find : What is the constant of variation?
Solution :
The quantity n varies jointly with the product of z and the square of the sum of x and y,
i.e. ![n\propto z(x+y)^2](https://tex.z-dn.net/?f=n%5Cpropto%20z%28x%2By%29%5E2)
![n=k\times z(x+y)^2](https://tex.z-dn.net/?f=n%3Dk%5Ctimes%20z%28x%2By%29%5E2)
Where, k is the constant of variation.
Substitute n=18, x = 2, y = 1, and z = 3,
![18=k\times 3(2+1)^2\\\\18=k\times 3(3)^2\\\\18=k\times 3\times 9\\\\18=27k\\\\k=\frac{18}{27}\\\\k=\frac{2}{3}](https://tex.z-dn.net/?f=18%3Dk%5Ctimes%203%282%2B1%29%5E2%5C%5C%5C%5C18%3Dk%5Ctimes%203%283%29%5E2%5C%5C%5C%5C18%3Dk%5Ctimes%203%5Ctimes%209%5C%5C%5C%5C18%3D27k%5C%5C%5C%5Ck%3D%5Cfrac%7B18%7D%7B27%7D%5C%5C%5C%5Ck%3D%5Cfrac%7B2%7D%7B3%7D)
Therefore, the constant of variation is
.
Answer:
Step-by-step explanation:
<u>Round 2617 to the nearest ten:</u>
- 2617 ≈ 2620 it has 262 tens, rounded up as 7 is greater than 5 and 2 is the next number up after 1