Remember PEMDAS is the order of operations. parenthesis,exponents,multiply,divide,add,subtract. so -8x-4x is -12x. now simplified the problem is 3(9-12x) + 8(3x+4)=11 . now I would distribute the numbers before the parentheses and it becomes 27-36x + 24x+32 =11 . now combine like terms. 59-12x =11 . subtract 59 on both sides. -12x=-48. divide -12 on both sides. x=4. :-)
Consecutive means in order. So let's call the first integer x. The next number in line would be x+1 and the largest integer would be x+2. Let's prove that so you're not confused. If x is 3, then x+1 is 4 (next in line), and x+2 is 5 next after that. See? So if we add all those together we set them equal to 267 and solve for x: x + x+1 + x+2 = 267. Combining like terms gives us 3x + 3 = 267 and 3x = 264. Now dividing both sides by 3 we get that x = 88. That's the smallest integer; the largest is found by adding 88 + 2 which is 90. So that means that the numbers are 88, 89, 90, and that adding them up = 267. Let's check that now: 88+89+90=267 so we're good.
Answer:
x=8
Step-by-step explanation:
Answer:
Step-by-step explanation:
the perimeter is : p = 2(x+y)..... x : width y : length
you have the system ; 2(x+y) = 252.......(1)
x = (2/7) y ...........(2)
y > x ....(3)
Substitute x = (2/7) y into (1) and simplifiy and solve for y :
(2/7) y + y = 126
(2y+7y)/7 = 126
9y = 882
y = 98 m ( the length )
Answer:
-7
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>
4x - 12 ≤ 16 + 8x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 4x on both sides: -12 ≤ 16 + 4x
- Subtract 16 on both sides: -28 ≤ 4x
- Divide 4 on both sides: -7 ≤ x
- Rewrite: x ≥ -7
Here we see that any value <em>x</em> greater than or equal to -7 would work as a solution to the inequality.
∴ our answer is -7.
