Answer:
1=n
Step-by-step explanation:
Step 1- Distribute into the parenthesis.
7(3)+5(3)n= 6n+1(6)+4(6)n
Step 2- Multiply
21+15n= 6n+6+24n
Step 3- Add common variables to simplify.
21+15n= (24n+6n)+6
21+15n= 30n+6
Step 4- Subtract the smallest variable to both sides.
21+15n= 30n+6
-15n -15n
21= 15n+6
Step 5- Subtract 6 to both sides.
21= 15n+6
-6 -6
15= 15n
Step 6- Divide both sides by 15.
<u>15</u>= <u>15n</u>
15 15
1=n
Answer:
P_max = 9.032 KN
Step-by-step explanation:
Given:
- Bar width and each side of bracket w = 70 mm
- Bar thickness and each side of bracket t = 20 mm
- Pin diameter d = 10 mm
- Average allowable bearing stress of (Bar and Bracket) T = 120 MPa
- Average allowable shear stress of pin S = 115 MPa
Find:
The maximum force P that the structure can support.
Solution:
- Bearing Stress in bar:
T = P / A
P = T*A
P = (120) * (0.07*0.02)
P = 168 KN
- Shear stress in pin:
S = P / A
P = S*A
P = (115)*pi*(0.01)^2 / 4
P = 9.032 KN
- Bearing Stress in each bracket:
T = P / 2*A
P = T*A*2
P = 2*(120) * (0.07*0.02)
P = 336 KN
- The maximum force P that this structure can support:
P_max = min (168 , 9.032 , 336)
P_max = 9.032 KN
The vertex is (4,3). Hope this helps!
Answer:
Jay spend $32 on his new sneakers.
Step-by-step explanation:
The complete question is
Jay had $80. He used 2/5th of his money to buy new sneakers. How much did Jay spend on his new sneakers?
Solution
Given
The total sum of money with Jay = $80
He used 2/5th of his money to buy new sneakers
The amount of money used to buy the sneakers = 2/5 * $80
2 * $16 = $32
Jay spend $32 on his new sneakers.
