Algebra is Faster And Better Than “Basic” Math
Just as multiplying two by twelve is faster than counting to 24 or adding 2 twelve times, algebra helps us solve problems more quickly and easily than we could otherwise. Algebra also opens up whole new areas of life problems, such as graphing curves that cannot be solved with only foundational math skills.
Answer:
The PERIMETER P is the distance around the rectangle.
Let's call the width of the rectangle W and the length of the rectangle L.
As you go around the edge there two equal lengths and two equal widths.
The formula for the perimeter of a rectangle is P=2*L+2*W.
P=2L%2B2W
Substitute 290 for P and 62 for the width.
290=2L%2B2%2862%29
Solve for L.
290=2L%2B2%2862%29
290=2L%2B124
290-124=2L
2L=166
L=83
The equation L=83 means that the length is 83 cm.
CHECK your work.
2(62)+2(83) = 124+166 = 290cm.
The length of the rectangle is 83cm.
Answer:
5/2cups
Step-by-step explanation:
If a recipe serves 6 and calls for 3/4cups, arecipe that serves 20, will call for (20×3/4)/6 cups. Mathematically;
6recipe = 3/4cups
20recipe = x
Cross multiplying we have;
6x = 20×3/4
6x = 15
x = 15/6
x = 5/2
This means a recipe that serves 20 will call for 5/2cups
Answer:
The slope is 7.
Step-by-step explanation:
Let the given points are (p, q)= (-3, 10) & (r, s) =(-5, -4).
Then the slope (m) = (s-q)/(r-p)
⇒ m = (-4 -10)/(-5-(-3))
⇒ m = (-14) / (-5 +3)
⇒ m = -14/- 2
⇒m = 7
Hence the slope is m =7 .
Given:
The graph of cost of taxi with respect to number of miles.
To find:
The formula for C in terms of n.
Solution:
In the given graph x axis represents the number of miles (n) and y-axis represents the cost of taxi (C).
From the given graph it is clear that, the line passes through the points (0,3) and (5,6). So, the equation of line is
Adding 3 on both sides, we get
Putting y=C and x=n, we get
Therefore, the required formula is .
