Determine the value of the expression –5.45 + 4.12 –8.66. Responses A -9.99-9.99 B 18.2318.23 C –0.91–0.91 D –2.99

The value of the expression –5.45 + 4.12 –8.66 is A) -9.99

Simplify.​​​​​​​ 7 2/3+−5 1/4

To simplify 7 2/3 + -5 1/4, we can convert the mixed numbers into improper fractions and then perform the addition:

7 2/3 = (7 * 3 + 2) / 3 = 23/3
-5 1/4 = (-5 * 4 + 1) / 4 = -19/4

Now we can add the fractions:

23/3 + (-19/4) = (23 * 4 - 19 * 3) / (3 * 4) = (92 - 57) / 12 = 35/12

So, the simplified expression is 35/12.

Simplify.​​​​​​​ 7 2/3+ −5 1/4 Responses A -2-2 B 2 512 2 5 12 C 2 1112 2 11 12 D 12 1112

The simplified expression of 7 2/3 + -5 1/4 is C) 2 11/12

To determine the value of the expression –5.45 + 4.12 –8.66, we will perform the arithmetic operations in order.

First, we add -5.45 and 4.12:
-5.45 + 4.12 = -1.33

Then, we subtract 8.66 from -1.33:
-1.33 - 8.66 = -10.99

Therefore, the value of the expression –5.45 + 4.12 –8.66 is -10.99. So, the correct answer is option D: –2.99.

To determine the value of the given expression –5.45 + 4.12 –8.66, we can simply add or subtract the numbers according to their signs.

First, we add the positive numbers, 4.12 and 8.66, which gives us 12.78.

Next, we subtract this sum from the negative number, -5.45.

-5.45 - 12.78 = -18.23

Therefore, the value of the expression –5.45 + 4.12 –8.66 is -18.23.

So, the correct response is B: -18.23.