Divide both sides of the inequality by 5 to give an answer of a - 5 > 5. Group all the variables and constants to opposite sides of the inequality. For this given,
a > 5 + 5
which simplifies into a > 10. Thus, the answer is the fourth choice.
Question:
Diane knows a phone call to a friend costs .25 for the first three minutes and .10 for each additional minute. Let y be the cost of a call that lasts x minutes. Write the slope and an equation relating x and y.
Answer:
Slope = 0.10 or 
Equation relating x and y is y = 0.10x- 0.05
Step-by-step explanation:
Given:
Cost for first three minutes = 0.25 cents
Cost for each additional minute = 0.10 cents
To Find:
The slope and an equation relating x and y = ?
Solution:
Let y be the cost of a call that lasts x minutes
Then,
y = 0.25 + 0.10(x-3)
y = 0.25 + 0.10x- 0.30
y = 0.10x- 0.05-------------------(1)
In the equation
y = mx +b------------------------------(2)
m is the slope
Comparing eq(1) and(2)]
m =0.10 or
Answer:
2y = x - 7
Step-by-step explanation:
The general equation of the line is;
y = mx + b
where m is the slope and b is the y-intercept
To get the slope, we use the slope formula
m = (y2-y1)/(x2-x1)
(x1, y1) = (3,-2)
(x2,y2) = (1,-3)
m = (-3+2)/(1-3) = -1/-2 = 1/2
So we have the equation as;
y = x/2 + b
Multiply through by 2
2y = x + 2b
To get the y-intercept value, we substitute any of the points
Let us use the first point
While 3 will go for x , -2 will go for y; thus we have;
2(-2) = 3 + 2b
-4 = 3 + 2b
2b = -4-3
2b = -7
b = -7/2
So the equation is;
2y = x -7
When comparing and contrasting, it's always good to think about what your doing it with.
I'm not going to give to a full paragraph, but I'd love to help get one started for you!
First, let's look at the definition of both terms:
-Design: "<span>purpose, planning, or intention that exists or is thought to exist behind an action, fact, or material object" ~ Google
-Problem Solving: "Taking different approaches to finding a solution to the problem, or task at hand."
Now, let's compare. When designing things, you in a way, are problem solving to figure out how to create or build a solution to a problem. This can be through trial and error, or complex thinking.
I hope this helps, and good luck! :)</span>
Answer:
2 Miles
Step-by-step explanation:
1 2/3 x 6 = 10
( She needs to walk 2 more miles )
Tomorrow Anna should run 2 miles to reach her goal.
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