Question 1: False
Question 2: 1.6
Question 3: 2.244 x 10^2
Answer: first option
Step-by-step explanation:
Direct variation equation has the following form:
Where "k" is the constant of variation.
In direct variation when the variable "x" increases, the variable "y" increases by the same factor and when the variable "x" decreases, the variable "y" decreases by the same factor.
Inverse variation equation has the form:
Where "k" is the constant of variation.
In inverse variation when the variable "x" increases, the variable "y" decreases by the same factor and when and when the variable "x" decreases, the variable "y" increases by the same factor.
Given the equation:
You can observe that "r" varies directly with "l" and inversely with "p" and "t"
Answer:
16 years old.
Step-by-step explanation:
(24+24+15+16+19+X) / 6 = 19
(98 + X) / 6 = 19
98 + X = (19)*(6)
98 + X = 114
X = 114-98
X = 16
Answer:the number of pounds of the Mexican Shade Grown Blend that should be mixed is 11
the number of pounds of the House Blend that should be mixed is 9
Step-by-step explanation:
Let x represent the number of pounds of the Mexican Shade Grown Blend that should be mixed.
Let y represent the number of pounds of the House Blend that should be mixed.
The total number of pounds of coffee created is 20. It means that
x + y = 20
The Mexican Shade Grown coffee blend normally sells for $8.30 per pound with a House coffee blend normally sells for $13.70 per pound. The mixed coffee can sell for $10.73 per pound. This means that the total cost of 20 pounds would be 20 × 10.73 = $214.6
Therefore,
8.3x + 13.7y = 214.6 - - - - - - - - - 1
Substituting x = 20 - y into equation 1, it becomes
8.3(20 - y) + 13.7y = 214.6
166 - 8.3y + 13.7y = 214.6
- 8.3y + 13.7y = 214.6 - 166
5.4y = 48.6
y = 48.6/5.4 = 9
x = 20 - y = 20 - 9
x = 11
