Answer:
x is less than or equal to negative 14.
Step-by-step explanation:
so for now we should pretend that the greater than or equal to is an equal sign, and simplify the problem to get x alone on a side
remove 5 from each side
-x/3=1/3-5
-x/3=14/3
multiply both sides by 3
-x=14
x=-14
so we can now replace the equal sign with the equal or greater to, so x is less than or equal to -14
Answer:
Explanation:
Translate every verbal statement into an algebraic statement,
<u>1. Keith has $500 in a savings account at the beginning of the summer.</u>
<u>2. He wants to have at least $200 in the account by the end of summer. </u>
<u />
<u>3. He withdraws $25 a week for his cell phone bill.</u>
<u />
- Call w the number of weeks
<u>4. Write an inequality that represents Keith's situation.</u>
- Create your model: Final amount = Initial amount - withdrawals ≥ 500
With that inequality you can calculate how many week will pass before his account has less than the amount he wants to have in the account by the end of summer:
That represents that he can afford spending $ 25 a week during 12 weeks to have at least $ 200 in the account.
X= 7/93 or roughly 0.07526...
Answer:
Part A:
- angle ACB= 60° (ABC equilateral triangle.)
- Angle ECD=EDC= (180°-32°)/2= 148/2= 74° (sum of angles in a triangle is equal to 180, and triangle ECD is isosceles since it's given that CE=DE.
- x= 180°-(60°+74°)
= 180°-134°
= 46°
x= 46°
Part B:
120°
Answer:
5/12
Step-by-step explanation:
2 2/5 = 12/5 so its reciprocal is 5/12
Reciprocals are fractions that are basically "flipped". You flip the denominator to the numerator and vice versa.