A scale on a map shows that 2 inches = 25 miles. Part A
How many inches on the map represent 60 miles?

Enter your answer in the box.

inches
Part B
How many miles are represented by
1
4
inch on the map?

Enter your answer in the box.

miles

Save
Question 2:
A circular picture is 8 inches in diameter.

Part A
What is the area of the picture in square inches?

A. 4π square inches
B. 8π square inches
C. 16π square inches
D. 32π square inches
Part B
A-frame that is 2 inches wide surrounds the picture. What are the total area of the picture and the frame in square inches?

A. 4π square inches
B. 12π square inches
C. 36π square inches
D. 40π square inches

Save
Question 3:
The figure below shows a shaded region and a non-shaded region. Angles in the figure that appear to be right angles are right angles.

A picture of a rectangle is shown. The bottom of the rectangle is labeled 16 ft. The right side of the rectangle is labeled 8 ft. At the bottom left side of the rectangle, there is a label that reads 2 ft. Inside the rectangle is a shaded region. The bottom of the region is labeled 8 ft and this side is perpendicular to the left side of the rectangle. The right side of the shaded region has a perpendicular line segment extending upward that is labeled 2 ft. At the top of this line, a segment is another line segment perpendicular to the right that reads 2 ft. At the end of this line, a segment is a perpendicular line segment extending upward that reads 1 ft. There is a line segment joining the end of this line segment with the rectangle's top-left corner.
What is the area, in square feet, of the shaded region?
Enter your answer in the box.
square feet

What is the area, in square feet, of the non-shaded region?
Enter your answer in the box.
square feet

22 and 22

step-by-step explanation:

10 plus 12 equals 22.

12 plus 10 also equals 22 because regardless of what order they're in, they're gonna equal the same thing.

goog may have it for you

answer: learning objective(s)

·         describe the creation and use of systems of equations.

·         graph a system of linear equations on the coordinate plane and identify its solution.

introduction

sometimes graphing a single linear equation is all it takes to solve a mathematical problem. other times, one line just doesn’t do it, and a second equation is needed to model the situation. this is often the case when a problem involves two variables. solving these kinds of problems requires working with a system of equations, which is a set of two or more equations containing the same unknowns.

let’s take a look at systems of equations, and see what the graphs of individual equations within a system reveal about the mathematical relationship of the variables.

systems of equations

a system of equations contains two or more linear equations that share two or more unknowns. to find a solution for a system of equations, we must find a value (or range of values) that is true for all equations in the system.

the graphs of equations within a system can tell us how many solutions exist for that system. look at the images below. each show two lines that make up a system of equations (in the graph on the right the two lines are superimposed and look like a single line). how many points in common does each system of lines reveal?

one solution

no solutions

infinite solutions

if the graphs of the equations intersect, then there is one solution that is true for both equations.

if the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.

if the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

remember, the graph of a line represents every point that is a possible solution for the equation of that line. so when the graphs of two equations cross, the point of intersection lies on both lines, meaning that it is a possible solution for both equations. when the graphs of two equations never touch, there are no shared points and there are no possible solutions for the system. when the graphs of two equations lie on top of one another, they share all their points and every one is a possible solution.

graphing as a solution method

graphing equations in order to identify a specific point of intersection is usually not a precise way to solve systems because it is often difficult to see exactly where two lines intersect (unless you are using a computer-based graphing program that allows you to zoom in on a point). however, the graph of a system of equations can still give a good idea of what type of solution, if any, exists. let’s graph a system, and see how it works.

graph the system y = 3x and x + 2y = 4. how many solutions does this system have?

a graph of the two lines y = 3x and x + 2y = 4 shows us that the lines intersect, meaning that there is a single (x, y) value that satisfies both equations. looking at the graph does not tell us exactly where that point is, but we don’t need to know that information here, because the question only asks for the number of solutions.

so a system made of two intersecting lines has one solution. now let’s look at a different situation:

how many solutions exist for the system y -0.5x = 7 and 2y = x − 3?

plotting both equations, it looks like there is no solution—the lines are parallel. to check this finding, we can compare the slopes of the equations. to make that easy, we’ll rearrange the equations into slope-intercept form, or y = mx + b.   that gives us the equations y = 0.5x + 7 and y = 0.5x − 1.5.   yes, the slope of both lines is 0.5, which means the lines really are parallel. they never intersect, so there is no point that lies on both lines, and no solution to the system.

step-by-step explanation:

the least value out of the data shown is 5, maybe if you post a picture with it i could a little more.

step-by-step explanation: