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Evaluate the following expressions: a) (-11) - 537 - 9 b) 153/3 + 90 - (-123+(-6)) + 10

Mathematics

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Answers

2 parts
a
-125
b
157

Step-by-step solution

8 steps

here are the solutions to Question 5.

Part 5

Evaluate the following

Part a-125

  1. Evaluate the expression inside the brackets first.

    5×3×7=15×7=1055 \times 3 \times 7 = 15 \times 7 = 105

  2. Substitute the result back into the original expression.

    (−11)−105−9(-11) - 105 - 9

  3. Perform the subtractions from left to right.

    −11−105=−116-11 - 105 = -116 −116−9=−125-116 - 9 = -125

    The solution is −125\boxed{-125}.

Part b157

  1. Evaluate the expression inside the square brackets [-12 * 3 + (-6)].

    −12×3=−36-12 \times 3 = -36 −36+(−6)=−36−6=−42-36 + (-6) = -36 - 6 = -42

  2. Substitute this result back into the main expression.

    (15)×(3)÷(3)+90−(−42)+10(15) \times (3) \div (3) + 90 - (-42) + 10

  3. Simplify the double negative.

    (15)×(3)÷(3)+90+42+10(15) \times (3) \div (3) + 90 + 42 + 10

  4. Perform multiplication and division from left to right.

    15×3=4515 \times 3 = 45 45÷3=1545 \div 3 = 15

  5. Substitute this result back and perform additions from left to right.

    15+90+42+1015 + 90 + 42 + 10 105+42+10105 + 42 + 10 147+10147 + 10 157157

    The solution is 157\boxed{157}.

Part 6

The question for Question 6 is incomplete in the image. Only the beginning "Question 6: The temperatures of major cities aroun the world on a particular day were shown in the ta below." and a table are visible.

The visible data in the table is:

CityMinimum °CMaximum °C
Amsterdam59
Bahrain2839
Cairo2436
Helsinki-44

Please send the complete question for Question 6 if you'd like me to solve it. What's next? 📸

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