Step-by-step explanation:
step 1. x = .484848 . . . repeats
step 2. 100x = 48.48484848 . . . (multiply by 100)
step 3. subtract x from 100x : 99x = 48
step 4. x = 48/99 (now add the 2 back in)
step 5. answer: 2-48/99.
Answer:
11x+4
Step-by-step explanation:
2x+4+9x
Combine like terms
2x+9x +4
11x +4
He invested two unknown amount that add to $1200.
Let the amount invested at 9% be x.
Let the amount invested at 3% be y.
The amounts add to $1200.
x + y = 1200 First Equation
The profit from the 9% part is 0.09x.
The profit from the 3% part is 0.03y.
The two profits add to $78.
0.09x + 0.03y = 78 Second Equation
We have two equations in two unknowns, so we can solve this problem as a system of equations.
x + y = 1200
0.09x + 0.03y = 78
Multiply the first equation by -0.09 and add to the second equation.
-0.09x - 0.09y = -108
0.09x + 0.03y = 78
----------------------------
-0.06y = -30
Divide both sides by -0.06
y = 500
Now we substitute 500 into y in the first equation.
x + y = 1200
x + 500 = 1200
x = 700
Answer: The amount invested at 9% is $700
Answer:
<h2>16+x ≤ 26</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
- inequality
- word problems
- creating word probleme
<h3>let's solve:</h3>
so the first condition is
<h3>the maximum number of students in a classroom is 26</h3>
therefore
26 is our subject
and the second condition is
<h3>there are 16 students signed up for the art class</h3>
it means 16 students have already signed up
let's x be more students
therefore
according to the question
the inequality is
<h2>16+x ≤ 26</h2>
A picture by any chance ?