Answer:
<h3>B. It has infinite solutions</h3>
Step-by-step explanation:
Given the system of equations:
2t + w = 10 ..... 1
4t = 20 − 2w ... 2
From 1:
w = 10-2t ...3
Substitute 3 into 2 to have;
4t = 20 - 2(10-2t)
4t = 20-20+4t
4t = 4t
Let t = k
Substitute t = k into 1 and get w;
From 1: 2t + w = 10
2k + w =10
w = 10 - 2k
<em>k can take any integers. This shows that the solution to the equation is infinite</em>
<em></em>
Answer:
3,406.5 litres/hr
Step-by-step explanation:
The liquid is being poured at a rate of 15 gallons per minute.
1 minute = 1/60 hour
Thus, the rate can be written as:
15 gallons pet 1/60 hour
We are told that one gallon is approximately 3.785 liters.
Thus;
15 gallons = 15 × 3.785 litres = 56.775 litres.
Thus, the rate is;
56.775 litres per 1/60 hour
We want to find in litres/hr.
By proportion, we have it as;
(56.775 ÷ 1/60)/1 = 56.775 × 60 = 3,406.5 litres/hr
Answer:
n^2+8n+16
Step-by-step explanation:
(n+4)^2
=(n+4) (n+4)
= n^2+4n+4n+16
=n^2+8n+16
Dana:
Starts with 25 = 25
Spends 10 = 25 - 10 = 15
Received 50 = 15 + 50 = 65
New tires cost 75 = 65 - 75 = -10
Tracey:
Starts with 50 = 50
Gets gas for 25 = 50 - 25 = 25
Received 100 = 25 + 125 = 125
Purchased boots for 150 = 125 - 150 = -25
Tracey ends up with the least amount of money after their purchases.
Hope this helps! :)
Heya!
Your question states: Solve for x in simplest form 15 = 1/3(x+9)
Answer: X = 36
<em>Numerical Explanation:</em>
1. Step by step
I. 15 = 1/3(x+9)
2. Simplify both sides of the equation:
II. 15 = 1/3x + 3
3. Flip the equation:
III. 1/3x + 3 = 15
4. Subtract 3 from both sides:
IV. 1/3 x +3 = 15
-3 -3
5. Multiply both sides by 3:
V. 3 * (1/3 x) = (3) * (12)
6. Final answer:
VI. x = 36
I Hoped I Helped!
~KINGJUPITER
