Answer:
Chris is correct. (Choice letter C)
Step-by-step explanation:
We can eliminate choices A and B from the get-go because the problem stated that both hikers are traveling at 1mi/hr. This means that the slope of the equation would equate to 1, so just x.
That leaves us with C and D. The two equations both have a slope of 1, but C has a y-intercept of -2 and D has a y-intercept of 2, which represents the starting location of the second hiker. The first hiker is the one who is ahead by 2 miles, so it can't be D. This leaves us with choice C. Chris is correct.
<h2>Solving Equations</h2>
To solve linear equations, we must perform inverse operations on both sides of the equal sign to <em>cancel values out</em>.
- If something is being added to x, subtract it from both sides.
- If something is being subtracted from x, add it on both sides.
- Same with multiplication and division. If x is being divided, multiply. If x is being multiplied, divide.
We perform inverse operations to<em> combine like terms</em>. This means to get x to one side and everything else on the other.
<h2>Solving the Questions</h2><h3>Question 1</h3>

Because 7 is being added to x, subtract it from both sides:

Because x is being multiplied by 5, divide both sides by 5:

Therefore.
.
<h3>Question 2</h3>

Here, we can group all the x values on the left side of the equation. Subtract 5x from both sides:

To isolate x, subtract 4 from both sides:

Divide both sides by 2:

Therefore,
.
Answer:
y - 14.95 = 18.075(x-1)
Step-by-step explanation:
If an internet company charges $14.95 per month and a setup fee, then we can say
1 month = $14.95
If the total cost for 9 months is $159.55
Then we can write both cases as a coordinate (1, 14.95) and (9,159.55)
The equation of a line in point slope form is expresses as
y-y0 = m(x-x0)
Find the slope m
m = 159.55-14.95/9-1
m = 144.6/8
m = 18.075
Substitute m = 18.075 and any of the coordinate in the equation to have;
Using the coordinate (1, 14.95)
y - 14.95 = 18.075(x-1)
Hence a linear equation in point-slope form that model the situation is y - 14.95 = 18.075(x-1)
ANSWER
C. 58°
EXPLANATION
The sum of the interior angles of a triangle is 180°.
We sum all the three angles to obtain,
.
We group like terms to get,
.
Simplify,
.
Combine like terms to get,
.
Simplify,
.
Divide both sides by 32 to get,
.
We substitute the value of x into the expression for
.
This implies that,
.
.
.
The correct answer is C
Answer:

Step-by-step explanation:
To find what percentage a certain value is of another value, simply divide the first value by the second, respectively.
We want to find want percentage that 7,562.5 is of 275,000. Therefore, we will divide 7,562.5 by 275,000 to obtain a decimal:

To convert from a decimal to a percentage, multiply by 100:
