7 x 21 is equivalent to 21 x 7
also 3 x 49
Number of weekend minutes used: x
Number of weekday minutes used: y
This month Nick was billed for 643 minutes:
(1) x+y=643
The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44
We have a system of 2 equations and 2 unkowns:
(1) x+y=643
(2) 0.04x+0.08y=35.44
Using the method of substitution
Isolating x from the first equation:
(1) x+y-y=643-y
(3) x=643-y
Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
25.72-0.04y+0.08y=35.44
0.04y+25.72=35.44
Solving for y:
0.04y+25.72-25.72=35.44-25.72
0.04y=9.72
Dividing both sides of the equation by 0.04:
0.04y/0.04=9.72/0.04
y=243
Replacing y by 243 in the equation (3)
(3) x=643-y
x=643-243
x=400
Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243
Point.
<h3>Further explanation</h3>
- The angle is determined by three points, we call it A, B, C, with A ≠ C and B ≠ C.
- We express an angle with three points and a symbol ∠. The middle point represents constantly vertex. We can, besides, give angle names only with vertices. For example, based on the accompanying image, the angle can be symbolized as ∠BAC, or ∠CAB, or ∠A.
<u>Note: </u>
This is one of the classic problems of Euclidean geometry.
Undefined terms are the basic figure that is undefined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane. These key terms cannot be mathematically defined using other known words.
- A point represents a location and has no dimension (size). It is marked with a capital letter and a dot.
- A line represents an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.
- A plane represents a planar surface that contains many points and lines. A plane extends infinitely in all four directions. It is two-dimensional. Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.
<h3>Learn more </h3>
- What are three collinear points on a line? brainly.com/question/5795008
- Undefined terms are implemented to define a ray brainly.com/question/1087090
- Definition of the line segment brainly.com/question/909890
Keywords: the undefined term, is needed to define, an angle, line, point, line, plane, ray, endpoint, acute, obtuse, right, straight, Euclidean geometry
Answer:9 7/8
Step-by-step explanation:
You combine the whole numbers which are 6 and 3 the sum of that is 9 and then to add fractions you make the denominators the same so you do 2x3/4 =6/8 +1/8=7/8