9514 1404 393
Answer:
- x ≤ 4
- x > 10
- x ≤ -7
Step-by-step explanation:
We're guessing you want to solve for x in each case. You do this in basically the same way you would solve an equation.
1. 3x +2 ≤ 14
3x ≤ 12 . . . . . subtract 2
x ≤ 4 . . . . . . . divide by 3
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2. -5 +2x > 15
2x > 20 . . . . . . add 5
x > 10 . . . . . . . . divide by 2
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3. -2x +4 ≥ 18
4 ≥ 18 +2x . . . . . add 2x
-14 ≥ 2x . . . . . . . subtract 18
-7 ≥ x . . . . . . . . . divide by 2
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<em>Additional comment</em>
The statement above that the same methods for solving apply to both equations and inequalities has an exception. The exception is that some operations reverse the order of numbers, so make the inequality symbol reverse. The usual operations we're concerned with are <em>multiplication and division by a negative number</em>: -2 < -1; 2 > 1, for example. There are other such operations, but they tend to be used more rarely for inequalities.
You will note that we avoided division by -2 in the solution of the third inequality by adding 2x to both sides, effectively giving the variable term a positive coefficient. You will notice that also changes its relation to the inequality symbol, just as if we had left the term where it was and reversed the symbol: -2x ≥ 14 ⇔ -14 ≥ 2x ⇔ x ≤ -7 ⇔ -7 ≥ x
Hello!
If Katia can buy packages of jars for $9, we can determine how many packages she can purchase with $45 by using the formula:
45/9 = 5
We divide the total number of money that she has by the amount of money one package of jars costs. Now, the question also asks how many jars she can buy, not just how many packages.
We know that she can buy 5 packages, and that there are 12 jars in each package. To find the total number of jars she can buy, we will multiply 5 by 12.
5 x 12 = 60
Katia can buy 60 jars with $45.
I hope this helps you! Have a lovely day!
- Mal
12.5% goes to .125
so .125 as a fraction is:
Answer:
I believe the answer is p over 5, it won't let me type it out but it put the p on top of the 5
⓵ Write down your complete equation:
x + ¾ = 9/8
⓶ Solve the equation in order to find the value of “x”:
x + ¾ = 9/8
- ¾ - ¾
x = 9/8 - ¾
There a 3 simple steps to subtract fractions:
⒈ Make sure the bottom numbers (the denominators) are the same.
9/8 - ¾ → They don’t have the same denominator.
You need to multiply the top number and the bottom number of ¾ by 2 :
3 (x2) 6
—- = ——
4 (x2) 8
So now you are left with : 9/8 - 6/8
⒉ Subtract the top numbers (the numerators). Put the answer over the same denominator :
9 - 6 = 3 → ⅜
⒊ Simplify the fraction (if needed) :
⅜ → The fraction is already simplified.
⇨ Your answer is: x = ⅜
There you go! I really hope this helped, if there’s anything just let me know! ☻
