Answer:
H = 20.5 hours
I = 19.5 Hours
Step-by-step explanation:
Start by creating a system.
I = time which the inlet pipe takes alone to fill the pond
H = time which the hose takes alone to fill the pond
10/I + 10/H = 10
H - I = 1
H = 20.5 hours
I = 19.5 Hours
What composite shape? Where is the shape?
Answer:
x=12.50
y = 17.50
Step-by-step explanation:
x = Amount of one Derek withdrawal
then amount of John withdrawal =x+5
Total withdrawals of Derek = no of times x one time withdrawal
= 7(x) = 7x ... i
No of John withdrawal = no of times x one time withdrawal
= 5(x+5) ... ii
Given that i and ii are equal
i.e. 7x =5(x+5)
7x = 5x+25
2x =25
x = 12.50 dollars
Y = 17.50 dollars
Checking part:
total derek withdrawal = 7(12.5) =87.50
Joh's withdrawal = 5(17.50) = 87.50
Since both are equal, our answers are right.
Solution: Derek withdrew each time 12.50 dollars each for 7 times and John withdrew 17.50 dollars each for 5 times.
The area of the square is 14*14 = 168 ft^2.
The area of the circle is πr^2. The radius is diameter/2 = 7. The area of the circle is 3.14*(7)^2 = 3.14*49 = 153.86 ft^2.
The area of the shaded part is the area of the square minus the area of the circle = 168 - 153.86 = 14.14 ft^2.
<h3>Multiplication Property of Equality is the missing reason</h3>
<em><u>Solution:</u></em>
Given that,
five thirds times x plus 2 equals negative 3
Therefore,

<em><u>Multiplication Property of Equality</u></em>
The Multiplication Property of Equality means that, if both sides of an equation is multiplied by same number, the equation still remains equal

Multiply both sides by 3

<em><u>Subtraction Property of Equality</u></em>
The Subtraction Property of Equality means that, we can subtract the same number from both sides of equation and the equation will still be true
5x + 6 = -9
Subtract 6 from both sides
5x + 6 - 6 = -9 - 6
5x = -15
<em><u>Division Property of Equality</u></em>
The Division Property of Equality means that, if both sides of an equation is divided by same number, the equation still remains true
5x = -15
Divide both sides by 5
x = -3