Answer:
x = infinite amount of solutions
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
3(x + 10) + 6 = 3(x + 12)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 3: 3x + 30 + 6 = 3x + 36
- Combine like terms: 3x + 36 = 3x + 36
- Subtract 36 on both sides: 3x = 3x
- Divide 3 on both sides: x = x
Here we see that <em>x</em> does indeed equal <em>x</em>. We can plug in any number <em>x</em> and it would render the equation true.
∴ x = infinite amount of solutions
If 36 nails weigh a pound, you have to multiply 36 by 7 to find 7 pounds. So,
Answer:
y=3x+2
Step-by-step explanation:
-2's opposite is positive and the rate of change (slope) is constant
Answer:
2c + 3l ≤ 60
No
Step-by-step explanation:
Let's say you buy c yards of cotton lace and l yards of linen lace. The cotton lace will cost $2 per yard, and for c yards, you have to pay $2 c times, coming to a total of 2*c for the cotton lace. For the linen lace, you'd have to pay 3*l for l yards. The total amount of lace is thus equal to cotton lace cost + linen lace cost = 2c + 3l.
Total amount needs to be less than or equal to 60 (at most 60), so total amount = 2c + 3l ≤ 60
We can then plug our values of cotton and linen lace into our equation
12 yards of cotton lace, 15 yards of linen lace
2c + 3l ≤ 60
2(12) + 3(15) ≤ 60
24 + 45 ≤ 60
69 ≤ 60
This is false, so you cannot buy these amounts of lace.
The product of 6x2x4 is 48 because 6x2 is 12 and then that times 4 is 48. So the product is less than 50
