Question - Calculating a Missing Number
Solution:
First, simplify the expression inside the brackets:$$ 5.05 + \frac{2}{5} = 5.05 + 0.4 = 5.45 $$Next, multiply the result by $$-3.5$$:$$ 5.45 \times (-3.5) = -19.075 $$Now, to find the missing number, divide by 2.4:$$ \frac{-19.075}{2.4} = -7.9479166667 $$Rounded to two decimal places:$$ -7.95 $$
Tutor Solution:
To solve the equation provided in the image, we need to carefully perform each operation step by step. Here's the equation from the image:5.05 + 2/5 × (−3.5) = □ × 2.4Let's solve this step by step:1. Multiplication before addition:First, we need to perform the multiplication part of the equation. According to the order of operations (PEMDAS/BODMAS), we do multiplication and division before addition and subtraction.2/5 × (−3.5) = −0.4 × (−3.5)When we multiply a positive number by a negative number, the result is negative. However, in this case, we are multiplying two negative numbers, so the result will be positive.−0.4 × −3.5 = 1.42. Now add this result to 5.05:5.05 + 1.4Adding these two numbers together, we get:5.05 + 1.4 = 6.453. Dividing by 2.4 to find the value of the box (□):Let's call the box value 'x.' So now we have:6.45 = x × 2.4To solve for 'x,' we need to divide both sides of the equation by 2.4:x = 6.45 / 2.4Now, divide 6.45 by 2.4:x = 2.6875So, the value that goes into the box is 2.6875.If you're answering multiple choice questions and the options are given in rounded numbers or different formats, you might need to round the number accordingly. However, with the information provided, the most accurate answer is 2.6875.
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