D1-5 - (-9) E 1-9 - (-5) Decide if each statement about the distance between-2 and -7 is true or fals Choose True or False for e
1 answer:
You might be interested in
The cost of pen and pencils are related to the number that can be bought
with a given amount of money.
- <u />
<u />
Reasons:
The given parameters are;
If the number number of pens and pencils James buys = 3 pens and 2 pencils, the amount James will have left = $2
If the number of pens and pencils James buys = 2 pens and 3 pencils, the amount James will have left = $6
The amount of money Judith has = The amount of money with James
The number of pens and pencil James and Judith can buy = 6 pens and 6 pencils
The cost of one pen = a
The cost of one pencil = b
Required:
To find the ordered pair (a, b)
Solution:
Let <em>X</em> represent the initial amount of money James has, we get;
X - (3·a + 2·b) = 2...(1)
X - (2·a + 3·b) = 6...(2)
2·X = 6·a + 6·b...(3)
Therefore;
X = (6·a + 6·b) ÷ 2 = 3·a + 3·b
Which from equation (1) gives;
3·a + 3·b - (3·a + 2·b) = 2
3·a + 3·b - 3·a - 2·b = 2
3·b - 2·b = 2
b = 2
Subtracting equation (1) from equation (2) gives;
(X - (2·a + 3·b)) - (X - (3·a + 2·b)) = 6 - 2 = 4
-2·a - 3·b + 3·a + 2·b = 4
a - b = 4
a = 4 + b
∴ a = 4 + 2 = 6
a = 6
<u />
<u />
<u />
Learn more about word problems and simultaneous equations here:
To solve this problem, all you need to do is make a standard graphing equation. The first step is finding mode using two points from the table. We'll use (1, 70) and (2, 90).
From the work, we've found that the slope of this equation is 20.
Next, we need to finish writing the equation and plug in the coordinates to solve for the y-intercept.
Now we have all the information we need to write our equation, which is:
y = 20x+50
Hope this helps!
From the work, we've found that the slope of this equation is 20.
Next, we need to finish writing the equation and plug in the coordinates to solve for the y-intercept.
Now we have all the information we need to write our equation, which is:
y = 20x+50
Hope this helps!