Answer:
28
Step-by-step explanation:
18+6+4=28
Well you have to have the common at 50 because that it so multiply23/25 by 2 and 9/10 by 5 so 45/50 and 46/50
Answer:
length = 78 feet
width = 36 feet
Step-by-step explanation:
Using one variable and an expression, you can set up an equation equal to the perimeter to find the measure of each side:
width = 'w'
length = '42ft longer than it was wide' = w + 42
The general formula for the perimeter of a rectangle:
P = 2w + 2l
Plugging in the given values and variables:
228 = 2w + 2(w + 42)
Distribute: 228 = 2w + 2w + 84
Combine like terms: 144 = 4w
Divide and solve: 36 = w
w = 36 ft
l = 36 + 42 = 78 ft
From point A, draw a line segment at an angle to the given line, and about the same length. The exact length is not important. Set the compasses on A, and set its width to a bit less than one fifth of the length of the new line. Step the compasses along the line, marking off 5 arcs. Label the last one C. With the compasses' width set to CB, draw an arc from A just below it. With the compasses' width set to AC, draw an arc from B crossing the one drawn in step 4. This intersection is point D. Draw a line from D to B. Using the same compasses' width as used to step along AC, step the compasses from D along DB making 4 new arcs across the line. Draw lines between the corresponding points along AC and DB. Done. The lines divide the given line segment AB in to 5 congruent parts.
Let's call the unknown amount of money <em>x</em>
Betty spend 5/12 of her money (5/12)x and had 42 dollars left. Translated,
![x - \frac 5{12} x = 42](https://tex.z-dn.net/?f=x%20-%20%5Cfrac%205%7B12%7D%20x%20%3D%2042)
Solving,
![x(1 - \frac 5{12}) = 42](https://tex.z-dn.net/?f=x%281%20-%20%5Cfrac%205%7B12%7D%29%20%3D%2042)
![\frac{7}{12} x = 42](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B12%7D%20x%20%3D%2042)
![x = \dfrac{12}{7} \cdot 42 = 72](https://tex.z-dn.net/?f=%20x%20%3D%20%20%5Cdfrac%7B12%7D%7B7%7D%20%5Ccdot%2042%20%3D%2072)
Answer: $72