The points lie on a line. Such a pattern is called a linear relationship because it represents a straight line relationship between the coordinates of the points. We can describe the relationship between x and y in words as follows: The y-coordinate is three times the x-coordinate.....hope this helps
In order to determine the cost of each pencil we have to divide the total cost for the package of pencils by the number of pencils contained
For the 4 pencils box:
Cost per pencil = Total cost/number of pencils
Cost per pencil = 6/4 = 1.5
Similarly, for the 5 pencils package:
Cost per pencil = 7/5 = 1.4
As you can see, the $7 package is better to buy, because each pencil costs $1.4, then, option A is the correct answer
Answer:
24ft²
Step-by-step explanation:
divide up the shape:
big triangle:
(looking for base)
9.8²= 4² + b²
b = 8.95ft
(finding area)
0.5*8.95*4 = 17.9ft²
small triangle:
(looking for base)
12-8.95=3.05ft
(finding area)
0.5*3.05*4 = 6.1ft²
Whole Shape:
17.9+6.1 = 24ft²
Let the first angle be x and the second be y.
Supplementary angles add up to 180, so:
x + y = 180
Also, as given in the statement:
x = 4y - 25
Substituting into the first equation:
4y - 25 + y = 180
5y = 205
y = 41
x = 4(41) - 25
x = 139
One angle is 139° and the other is 41°.
