Answer:
subtract a constant from both sides
Step-by-step explanation:
The first step in solving an equation like this is to get the coefficients and variables by themselves, and to do that, you must separate the coefficients (numbers being multiplied by a variable) from the constant (numbers not being multiplied by a variable). You do this by subtracting the constant from both sides of the equation to ensure that they are equal (you subtract -10 from both sides here (adding 10 to both sides)).
Step-by-step explanation:
Cubes have square faces, so the area of the base is b².
The volume of the cube is b³.
The height of each pyramid is half the height of the cube, so h = b/2. Which means b = 2h.
The cube is made of 6 square pyramids with the same base and height. Therefore, each pyramid has 1/6 the volume of the cube. So the volume of each pyramid is b³/6.
The formula for the area of a square of side s is A = s^2.
Then s^2 = A, and s = +√A.
Here, the approx. side length is s = +√(75 m^2), or 8.7 m
Answer:
Discrete. See explanation below
Step-by-step explanation:
We need to remember some previous concepts:
We have two types of numerical data: Discrete and Continuous
When we say Discrete data we are refering to data that is countable or can be expressed with integers in a domain.
In the other case when we talk about continuous data we are refering to data that is continuous in a specified domain, it can contain decimals or rational numbers in the Real numbers for example.
For this special case we know that they select a sample size of n=1020 and the sample proportion of people in the United States who wash their hands after riding public transportation was 0.44 or 44% in percentage.


But the number of subjects on this survey needs to be Discrete, since the possible values are 0,1,2,3,4,.....,n and never we have decimals or continuous data in order to express this.
Answer:
Step-by-step explanation:
27 - 1.5x ≤ 36
54 - 3x ≤ 72
54 - 72 ≤3x
-18 ≤ 3x
-6 ≤ x
x ≥ -6