First, distribute the 7:
7w + 14 + 0.5w = 5
Combine like terms:
7.5w + 14 = 5
7.5w = -9
Divide both sides by 7.5 to solve for w:
w = -9/7.5 = -1.2
The answer is -1.2
Answer:
16
Step-by-step explanation:
y = mx+b, where y is cost x is # of movies, m is $ per rental and b is the flat charge.
y = 1.50x+15
40 = 1.50x+15
25 = 1.50x
16.666... = x
You can rent about 16 movies
Hope that helps
Answer:
The answers to the first three problems are shown in the figure attached
Fourth problem answer: 3.5 cm
Step-by-step explanation:
In problem 1, move the given triangle ABC four units to the right and 2 units down as what the displacement vector "v" indicates.
You may do such by translating each vertex of the triangle ABC such number of units one at a time and then joining the vertices.
In problem 2 the requested translation vector "v" indicates 4 units to the right and 1 unit up. Do such translation for each vertex of the triangle as suggested before.
In problem 3 the requested translation "v" asks for 2 units to the left and 3 up.
Do the translation of each vertex following these instructions.
Problem 4: use a ruler and notice that the length of the vector xy given has exactly the same length as the distance between the vertices A in one triangle, and A' in the other. The same is true for the distance between vertex B and B' in the other triangle, and for the distance between C and C'.
We know that to find the area of the entire circle, we are going to use the equation:

And we know that the diameter is 12. To find the radius, we divide the diameter by 2, so 12/2 = 6. So the radius is 6.
Now we can use this radius in the equation:


Since all of the angles of each section are equal, we can assume that each of the sections has an equal area. There are 5 sections, so we need to divide
by 5 to find the area of each section:

Each section has an area of
or, using 3.14 for pi,
.
Since we are told to find the area of the blue sections, we know that there are 2 sections that are blue. So we need to multiply the area of each section by 2, to find the area of two of the sections:

Therefore, the answer is C) 45.2
.