Answer:
x< -
Step-by-step explanation:
x 8x_16>8x+64
Add similar elemants:x - 8x= -7x
-7x - 16 > 8x + 64
Add 16 to both sides
-7x- 16 + 16 > 8x + 64 + 16
Simplify
- 7x > 8x + 80
Subtract 8x from both sides
-7x - 8x > 8x + 80 - 8x
Simplify
-15x > 80
Multiply both sides by - 1 ( reverse the inequality)
(-15x) ( - 1) < 80 ( - 1 )
simplify
The answer is c!!!!!!!!!!!!!!!!!!
I assume we are writing the equation. The sum of a number and 14 is less than or equal to three times the number.
Let's put in a few values.
The sum of a number = x and + 14 is less than < or equal to = three times 3 * the number.
Now we have: x + 14 is < or = 3 * the number.
We can just remove the "is" and "or", because this is normal math patterns.
x + 14 <= 3 * the number.
"The Number" is referring to the "a number" at the very beginning. So we can replace that with the same variable.
x + 14 <= 3x
I guess the chef is making the mixture for the sheriff... Let <em>x</em> be the amount of dressing with 5% vinegar that is required, and <em>y</em> the amount of 15% vinegar dressing (both amounts in mL).
The sheriff wants 390 mL of the mixed dressing, so that
<em>x</em> + <em>y</em> = 390
<em>x</em> mL of the 5% dressing contains 0.05<em>x</em> mL of vinegar, while <em>y</em> mL of the 15% dressing contains 0.15<em>y</em> mL of vinegar. The resulting mixture should have a concentration of 9% vinegar, so that it contains 0.09 (390 mL) = 35.1 mL of vinegar. This means
0.05<em>x</em> + 0.15<em>y</em> = 35.1
Solve for <em>x</em> and <em>y</em> :
<em>y</em> = 390 - <em>x</em>
0.05<em>x</em> + 0.15 (390 - <em>x</em>) = 35.1
0.05<em>x</em> + 58.5 - 0.15<em>x</em> = 35.1
23.4 = 0.10<em>x</em>
<em>x</em> = 234
<em>y</em> = 156