Answer:
2x + 20 = 3x-10
2x -3x = -20-10
-x = -30
x= 30
Checking part:
2x+20 = 2(30) +20 = 60+20 = 80
3x-10 = 3(30) - 10 = 90-10 = 80
Hence, the final answer is x = 30.
Step-by-step explanation:
Answer:
2100 ft²
Step-by-step explanation:
1 yard is 3 ft, so 70 yards is (70 yd)×(3 ft/yd) = 210 feet.
The area of the pavement is the product of its length and width:
area = (210 ft)(10 ft) = 2100 ft²
_____
If you keep the units with the numbers as I have done here, you find that the product of (10 ft) and (70 yd) does not have the units of ft². Rather, the units are ft·yd, which is <em>not what the problem is asking for</em>.
Lets find out...
our fraction is 1/2.....
when the numerator is increased by 20%......1 + 0.20(1) = 1.2
when the denominator is increased by 50%....2 + 0.50(2) = 3
1/2 = 0.5....original fraction
1.2 / 3 = 0.4.....increased fraction
decrease = (original number - new number) / original number...* 100
= (0.5 - 0.4) / 0.5...* 100
= (0.1 / 0.5)....* 100
= 0.2 * 100
= 20% decrease <====
Answer:
The radius of the circle is √26.
Step-by-step explanation:
Since point A is on the circle, the distance between that point and the center of the circle is equal to the radius.
To find the distance between two points, the following equation should be used:
Replacing the numeric values:
The radius of the circle is √26.
