Question

-31-x=-9 1)-42+54+(-13)+(-26)+32 2)8+(-13)-(-11)-(-7)-42 3)4 5/9+(-3 7/15)-(-2 3/5)

Answer 1

Ответ:

Пошаговое объяснение:

-31-x=-9  

x = -31 + 9

x = -22

1)-42+54+(-13)+(-26)+32  = -42 + 54 - 13 - 26 + 32 = 5

2)8+(-13)-(-11)-(-7)-42  = 8 - 13 + 11 + 7 - 42 = -29

3)4 5/9+(-3 7/15)-(-2 3/5) = 4 25/45 - 3 21/45 + 2 27/45 = 1 4/45 + 2 27/45 = 3 31/45

Answer 2

Let's solve each of these equations step by step:

1. -31 - x = -9

To find the value of 'x', we need to isolate it on one side of the equation. To do that, we'll move the constants to the opposite side:

Step 1: Add 31 to both sides to eliminate the -31 on the left side. -31 + 31 - x = -9 + 31

Simplifying: 0 - x = 22

Step 2: Now, to solve for 'x', we'll multiply both sides by -1 to get rid of the negative coefficient on 'x':

-1 * (0 - x) = -1 * 22 x = -22

So, the value of 'x' is -22.

2. -42 + 54 + (-13) + (-26) + 32

Just add up the numbers:

-42 + 54 - 13 - 26 + 32 = 5

The result is 5.

3. 4 5/9 + (-3 7/15) - (-2 3/5)

To add or subtract fractions, we need to make sure they have a common denominator. The common denominator for 9, 15, and 5 is 45.

Step 1: Convert mixed numbers to improper fractions: 4 5/9 = (4 * 9 + 5)/9 = 41/9 -3 7/15 = (-3 * 15 + 7)/15 = -46/15 -2 3/5 = (-2 * 5 + 3)/5 = -7/5

Step 2: Rewrite the expression with common denominators: 41/9 + (-46/15) - (-7/5)

Step 3: Now, add and subtract the fractions:

41/9 + 46/15 + 7/5

Step 4: Find a common denominator, which is 45, and rewrite the fractions:

(41 * 5 + 46 * 3 + 7 * 9)/45

(205 + 138 + 63)/45

Step 5: Add the numerators:

406/45

Now, if possible, we can simplify the fraction:

406 ÷ 45 = 9 with a remainder of 11

So, the final result is 9 11/45.