Answer: 30 feet is greater
Step-by-step explanation:
3 yards is 9 feet (1 yard is 3 feet). 9 < 30. 30 feet is more than 9 feet, and 9 feet is equal to 3 yards so 30 feet is greater than 3 yards
75 ÷ 8 = 9
Remainder:- 3
So 8 goes in to 75 nine times with 3 left.
8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 72 OR 9 × 8 = 72.
SO,
8 goes into 75 nine times with 3 left.
Hope I helped ya!
Answer:
0.25
Step-by-step explanation:
The fraction is 18/72. The decimal is different. If you divide 72 by 18, you get 4. That tells you how it is in a quarter, aka four pieces. Divide 100 by 4, you get 25. That’s why the answer is 0.25
Answer:
![B = 108](https://tex.z-dn.net/?f=B%20%3D%20108)
![C = 36](https://tex.z-dn.net/?f=C%20%3D%2036)
![D = 36](https://tex.z-dn.net/?f=D%20%3D%2036)
Step-by-step explanation:
Given
![B =13x - 35](https://tex.z-dn.net/?f=B%20%3D13x%20-%2035)
![C = 5x - 19](https://tex.z-dn.net/?f=C%20%3D%205x%20-%2019)
![D=2x+14](https://tex.z-dn.net/?f=D%3D2x%2B14)
![BC = BD](https://tex.z-dn.net/?f=BC%20%3D%20BD)
Required
Determine the measure of each angle
The angles in a triangle sum up t 180. i.e.
![B + C + D = 180](https://tex.z-dn.net/?f=B%20%2B%20C%20%2B%20D%20%3D%20180)
Since
, then ![C = D](https://tex.z-dn.net/?f=C%20%3D%20D)
can then be rewritten as:
![B + C + C = 180](https://tex.z-dn.net/?f=B%20%2B%20C%20%2B%20C%20%3D%20180)
![B + 2C = 180](https://tex.z-dn.net/?f=B%20%2B%202C%20%3D%20180)
Substitute values for B and C
![13x - 35 + 2(5x - 19) = 180](https://tex.z-dn.net/?f=13x%20-%2035%20%2B%202%285x%20-%2019%29%20%3D%20180)
Open Bracket
![13x - 35 + 10x - 38 = 180](https://tex.z-dn.net/?f=13x%20-%2035%20%2B%2010x%20-%2038%20%3D%20180)
Collect Like Terms
![13x + 10x = 180 + 38 + 35](https://tex.z-dn.net/?f=13x%20%2B%2010x%20%3D%20180%20%2B%2038%20%2B%2035)
![23x= 253](https://tex.z-dn.net/?f=23x%3D%20253)
Divide both sides by 23
![x = 11](https://tex.z-dn.net/?f=x%20%3D%2011)
To get the measure of each angle, substitute 11 for x in the expressions of B, C and D
![B =13x - 35](https://tex.z-dn.net/?f=B%20%3D13x%20-%2035)
![B = 13 * 11 - 35](https://tex.z-dn.net/?f=B%20%3D%2013%20%2A%2011%20-%2035)
![B = 108](https://tex.z-dn.net/?f=B%20%3D%20108)
![C = 5x - 19](https://tex.z-dn.net/?f=C%20%3D%205x%20-%2019)
![C = 5 * 11 - 19](https://tex.z-dn.net/?f=C%20%3D%205%20%2A%2011%20-%2019)
![C = 36](https://tex.z-dn.net/?f=C%20%3D%2036)
![D=2x+14](https://tex.z-dn.net/?f=D%3D2x%2B14)
![D = 2 * 11 + 14](https://tex.z-dn.net/?f=D%20%3D%202%20%2A%2011%20%2B%2014)
![D = 36](https://tex.z-dn.net/?f=D%20%3D%2036)
Answer:
Each friend gets 0.7 cookie
8 cookies
Step-by-step explanation:
A.
Number of cookies = 7
Number of friends = 10
how much cookie will each friend receive?
Number of cookie each friend get = number of cookies / number of friends
= 7/10
= 0.7 cookie
Each friend gets 0.7 cookie
B.
If each friend 1 1/2 cookies
how many more cookies would she need?
Total number of cookies needed = 1 1/2 × 10
= 3/2 × 10
= 30/2
= 15 cookies
She already has 7 cookies
Number of cookies needed more = 15 cookies - 7 cookies
= 8 cookies