Answer:
Step-by-step explanation:
y+30+2y=180
Add like terms
3y+30=180
Subtract 30 on both sides
3y=150
Divide by 3 on both sides
y=50
Now all you have to do i calculate the angles.
Answer:
Part a) 
Part b) 
Step-by-step explanation:
Part a) How many gallons of water will be in the pool after 20 minutes?
we know that
Using proportion

Part b) How many gallons of water will be in the pool after 1 hour
we know that
1 hour = 60 minutes
Using proportion

The answer to this question is
1. 60%
2. 30%
Answer:175
Step-by-step explanation:
1. Turn 28% into a decima: 0.28
2. Multiply 1250 by 0.28 to get the amount of ninth grade students:350
3. Half the amount of ninth grade students:175
No solution of the system of equations y = -2x + 5 and -5y = 10x + 20 ⇒ 2nd answer
Step-by-step explanation:
Let us revise the types of solutions of a system of linear equations
- One solution
- No solution when the coefficients of x and y in the two equations are equal and the numerical terms are different
- Infinitely many solutions when the coefficients of x , y and the numerical terms are equal in the two equations
∵ y = -2x + 5
- Add 2x to both sides
∴ 2x + y = 5 ⇒ (1)
∵ -5y = 10x + 20
- Subtract 10x from both sides
∴ -10x - 5y = 20
- Divide both sides by -5
∴ 2x + y = -4 ⇒ (2)
∵ The coefficient of x in equation (1) is 2
∵ The coefficient of x in equation (2) is 2
∴ The coefficients of x in the two equations are equal
∵ The coefficient of y in equation (1) is 1
∵ The coefficient of y in equation (2) is 1
∴ The coefficients of y in the two equations are equal
∵ The numerical term in equation (1) is 5
∵ The numerical term in equation (2) is -4
∴ The numerical terms are different
From the 2nd rule above
∴ No solution of the system of equations
No solution of the system of equations y = -2x + 5 and -5y = 10x + 20
Learn more:
You can learn more about the system of equations in brainly.com/question/6075514
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