5/9 divide top and botom by 9
Answer:
The correct ratio is 7:8, so no, Emma is not correct.
6x + 6 > 3x+ 15
3x > 9
x > 3
Answer for #1
Let the old price be
$
x
per liter. 10 liters would have cost a total of
$
10
x
.
The new price is
$
(
x
+
0.20
)
per liter. 10 liters would have cost
$
10
(
x
+
0.20
)
.
The total cost is
$
9.20
. So,
10
x
+
10
(
x
+
0.20
)
=
9.20
10
x
+
10
x
=
9.20
−
2
x
=
7.20
20
x
=
0.36
Thus, the old price was
$
0.36
per liter.
Answer:
n = 10
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
3n - 8 = 32 - n
<u>Step 2: Solve for </u><em><u>n</u></em>
- Add <em>n</em> on both sides: 4n - 8 = 32
- Add 8 on both sides: 4n = 40
- Divide 4 on both sides: n = 10
<u>Step 3: Check</u>
<em>Plug in n into the original equation to verify it's a solution.</em>
- Substitute in <em>n</em>: 3(10) - 8 = 32 - 10
- Multiply: 30 - 8 = 32 - 10
- Subtract: 22 = 22
Here we see that 22 does indeed equal 22.
∴ n = 10 is the solution to the equation.