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\( 5 x+9 y \), when \( x=8, y=11 \) \( 58+911 \) \( 979+99 \quad-\frac{46}{139} \)

Ask by Sullivan Powell. in the United States
Jan 30,2025

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Tutor-Verified Answer

Answer

When \( x = 8 \) and \( y = 11 \), the expression \( 5x + 9y \) equals 139. Additionally, \( 58 + 911 = 969 \), \( 979 + 99 = 1078 \), and \( -\frac{46}{139} \approx -0.330 \).

Solution

To solve the given expressions, we will substitute the values of \( x \) and \( y \) into the expression \( 5x + 9y \) and then calculate the result. Given: \( x = 8 \) and \( y = 11 \) Substitute the values of \( x \) and \( y \) into the expression \( 5x + 9y \): \( 5(8) + 9(11) \) Calculate the result: \( 40 + 99 = 139 \) Therefore, the result of the expression \( 5x + 9y \) when \( x = 8 \) and \( y = 11 \) is 139. Next, we will calculate the result of the expression \( 58 + 911 \): \( 58 + 911 = 969 \) Then, we will calculate the result of the expression \( 979 + 99 \): \( 979 + 99 = 1078 \) Finally, we will calculate the result of the expression \( -\frac{46}{139} \): \( -\frac{46}{139} = -0.330 \) (rounded to three decimal places) Therefore, the results of the given expressions are: 1. \( 5x + 9y \) when \( x = 8 \) and \( y = 11 \) is 139. 2. \( 58 + 911 \) is 969. 3. \( 979 + 99 \) is 1078. 4. \( -\frac{46}{139} \) is approximately -0.330.

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The Deep Dive

When you substitute \( x=8 \) and \( y=11 \) into the expression \( 5x + 9y \), you'll find that it equals \( 40 + 99 = 139 \). Nothing like plugging in numbers to get a quick result! Now, for the calculations: \( 58 + 911 \) gives you \( 969 \) and \( 979 + 99 \) equals \( 1078 \). When you subtract \( \frac{46}{139} \) from \( 1078 \), simply convert \( \frac{46}{139} < 1 \) to decimal (roughly \( 0.33 \)) and you get around \( 1077.67 \). Math can be both fun and tricky!

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