Answer:
Each pretzel is $4.99
Step-by-step explanation:
20 - 5.03 = 3x
14.97 = 3x
4.99 = x
Answer: The length and width are 50 and 30 meters (or 30 and 50 meters).
Step-by-step explanation:
To solve this question, we can represent variables for the length and width in two equations.

To solve for one of the variables, you'll have to substitute one of the variables, so solve for one of them:


Now, we have a standard quadratic equation that we can factor. When factoring, you'll get this:

This tells us that the width could be either 50 or 30.
Substitute 50 into one of the equations to find the length:
2 (l) + 100 = 160
l = 30.
The length and width are 50 and 30 meters (or 30 and 50 meters).
-13 is located the same distance away on the number line from -5 that 3 is.
Answer:
y = 6x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (1, - 7)
m =
=
= 6, thus
y = 6x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, - 7), then
- 7 = 6 + c ⇒ c = - 7 - 6 = - 13
y = 6x - 13 ← equation of line
Answer:
1) The dependent variable is;
The recorded exam scores of the student
2) The independent variable items in the experiment are;
a) The method of study;
i) Through visual information only
ii) Using auditory information only
iii) Not studying at all
b) The duration of study
Four days
c) The number of questions in the exam
100-questions
Step-by-step explanation:
Dependent Variable
The dependent variable is the measured result of the experiment which are the values that change due to a change in the treatment applied in the experiment
The dependent variable is the output of the function of the experiment from an varied inputs to the experiment which is the independent variable
Independent Variable
The independent variable are the variable taken as the cause of the desired effect which is observed measured as the dependent variable