–5 + 8 = 3. Find each sum. 1. –4 + (–8). 2. 14 + 16. 3. –43 + (–12). –12. 30. –55. 4. ... 1. Change the minus sign to a plus. 2. Find the opposite of the 2nd number. 3. Add ... –8 + –2. –3. –8. –10. 4. –3 – 24. 5. 10 – 17. 6. 13 – 9. = –3 + –24. = 10 + –17 ... 30. 5 + 4 x 3 = ____46_______. 12. (7)(9) +. 9. 3 – 20 x 3 = ____6______.

Step-by-step explanation:

5 0

3 years ago

The seventh term of an arithmetic sequence is 10.2 and the twelfth term is 17.7. What is the common difference of the arithmetic

marshall27 [118]

7 = 10.2
12 = 17.7
Let's take
d = 17.7 - 10.2/ 12 - 7
d = 7.5/ 5
d = 1.5
The common difference is 1.5

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3 0

3 years ago

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What is the solution to the rational equation x over 2x plus 1 minus 1 over 4 equals 2 over 2x plus 1

aalyn [17]

We want to solve
$\frac{x}{2x+1} - \frac{1}{4} = \frac{2}{2x+1}$

Subtract 2/(2x+1) from each side.
$\frac{x}{2x+1} - \frac{2}{2x+1y} - \frac{1}{4} = 0$

Add 1/4 to each side, and simplify the left side.
$\frac{x-2}{2x+1} = \frac{1}{4}$

Cross multiply.
4(x - 2) = 1(2x + 1)
4x - 8 = 2x + 1

Simplify and solve for x.
4x - 2x = 1 + 8
2x = 9
x = 9/2 or x = 4 1/2.

Answer: $x = \frac{9}{2} \,\, or \,\, x = 4 \frac{1}{2}$

5 0

3 years ago