Answer: x = 5/7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1/3 (x + 1) + 2x = 2
(1/3) (x) + (1/3) (1) + 2x = 2 (Distribute)
1/3x + 1/3 + 2x = 2
(1/3x + 2x) + (1/3) = 2 (Combine Like Terms)
7/3x + 1/3 = 2
Step 2: Subtract 1/3 from both sides.
7/3x + 1/3 - 1/3 = 2 - 1/3
7/3x = 5/3
Step 3: Multiply both sides by 3/7.
(3/7) * (7/3x) = (3/7) * (5/3)
Answer: x = 5/7
Y = -1.5x + 5.7
y = 0.5x + 0.3
-1.5x + 5.7 = 0.5x + 0.3
-1.5x - 0.5x = 0.3 - 5.7
-2x = - 5.4
x = -5.4/-2
x = 2.7
y = 0.5x + 0.3
y = 0.5(2.7) + 0.3
y = 1.35 + 0.3
y = 1.65
solution is (2.7, 1.65)
Sophia is more likely to be correct because the x coordinate is between 2 and 3 and the y coordinate is in between 1 and 2
The large hose fills 1 pool in 9 hours written as 1/9
The small hose fills 1 pool in 18 hours, written as 1/18
Now you have 1/9 + 1/18 = 1/x ( x is the unknown time for both hoses).
rewrite 1/9 with a common denominator as 1/18:
1/9 = 2/18
Now you have 2/18 + 1/18 = 1/x
Add the left side:
2/18 + 1/18 = 3/18
Now you have 3/18 = 1/x
Cross Multiply:
3x = 18
Divide both sides by 3"
x = 18/3
X = 6
It will take both hoses 6 hours.
27 divided by 55= 0.490909 repeating
Step by Step Explanation:
picture below
Answer: x = 4
<u>Step-by-step explanation:</u>
6ˣ = 1296
6ˣ = 6⁴
Since they have the same base, set the exponents equal to each other:
x = 4
