75.5 − 32.55

75.5 - 32.55 equals 42.95.

−86.4 + 16.38.

-86.4 + 16.38 equals -70.02.

-3/2 + 8/5

To add fractions, we need to have a common denominator.

The least common denominator for 2 and 5 is 10.

So, we need to rewrite the fractions with a common denominator of 10.

-3/2 can be rewritten as -15/10 and 8/5 can be rewritten as 16/10.

Now, we can add the fractions together:

-15/10 + 16/10 = (16 - 15) / 10 = 1/10

Therefore, -3/2 + 8/5 equals 1/10.

Anna is evaluating some rational expressions. Which THREE are correct?

Responses
A 152 − 200 = −48152 − 200 = −48
B −25 + (−25) = 0−25 + (−25) = 0
C 89 − (−17) = 10689 − (−17) = 106
D 134 − (−16) = 118134 − (−16) = 118
E −39 − (−28) = −11

The correct options are:

C 89 − (−17) = 106

D 134 − (−16) = 118

E −39 − (−28) = −11

can you explain how

Certainly! Let's go through each of the three options:

C) 89 - (-17) = 106

When subtracting a negative number, we can think of it as adding the opposite. So, 89 - (-17) is equivalent to 89 + 17. Adding 89 and 17 gives us 106.

D) 134 - (-16) = 118

Similar to the previous explanation, when subtracting a negative number, we can think of it as adding the opposite. So, 134 - (-16) is equivalent to 134 + 16. Adding 134 and 16 gives us 150. Therefore, this option is incorrect.

E) -39 - (-28) = -11

Again, when subtracting a negative number, we can think of it as adding the opposite. So, -39 - (-28) is equivalent to -39 + 28. Adding -39 and 28 gives us -11.

Therefore, options C, D, and E are correct.

What is the value of the expression −6 4/9−1 1/3

?