Answer:
x=17/4
Step-by-step explanation:
(x-3)/(x+2)=1/5
cross product
1(x+2)=5(x-3)
x+2=5x-15
5x-x-15=2
4x-15=2
4x=2+15
4x=17
x=17/4
<u>Answer:</u>
x ---> 1
y ---> 5
<u>Step-by-step explanation:</u>
We are given paired values for two variables x and y and we are to determine the constant number by which each term is increased such that they are in a proportional relationship.
For x, we have the following paired values:
So here the difference between each consecutive term is 1 so the constant is 1.
And for y, we have:
In this case, the difference between each consecutive term is 5 so the constant is 5.
Answer:
a. Categorical
b. Quantitative
c. Categorical
d. Categorical
e. Quantitative
Step-by-step explanation:
a.
Month of year with most reservations is a qualitative or categorical variable because it can't be represented numerically in a meaningful way. For example, with most reservations month of a year can be June or July.
b.
Airbnb's total annual profit is a quantitative variable because it can be presented in numerical form and mathematical operation can be meaningfully interpreted.
c.
Type of rental on Airbnb is a qualitative or categorical variable because it can't be represented numerically in a meaningful way. Also, it can be divided into categories whole house, private room and shared room etc.
d.
Unique 10-digit reservation number is a qualitative or categorical variable as these exists in numerical form but these numbers are used only as identifiers. The mathematical operation on these numbers can't be meaningfully be interpreted.
e.
Number of house rentals is quantitative variable because it can be presented in numerical form and mathematical operation can be meaningfully interpreted.
Simplifying
8x + -10 = 62
Reorder the terms:
-10 + 8x = 62
Solving
-10 + 8x = 62
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 8x = 62 + 10
Combine like terms: -10 + 10 = 0
0 + 8x = 62 + 10
8x = 62 + 10
Combine like terms: 62 + 10 = 72
8x = 72
Divide each side by '8'.
x = 9
Simplifying
x = 9
