Solve the following expression:
[tex]
\begin{array}{c}
a=6 \quad b=4 \
\frac{10 a}{b}+7
\end{array}
[/tex]
Answer (2)
Substitute the given values a = 6 and b = 4 into the expression b 10 a + 7 .
Calculate 10 × 6 = 60 .
Divide the result by b = 4 : 4 60 = 15 .
Add 7 to the result: 15 + 7 = 22 . The final answer is 22 .
Explanation
Understanding the Problem We are given the expression b 10 a + 7 and the values a = 6 and b = 4 . Our goal is to substitute these values into the expression and simplify to find the final answer.
Substituting the Values First, we substitute the given values of a and b into the expression: b 10 a + 7 = 4 10 × 6 + 7
Performing Multiplication Next, we perform the multiplication in the numerator: 4 10 × 6 + 7 = 4 60 + 7
Performing Division Now, we perform the division: 4 60 + 7 = 15 + 7
Adding the Numbers Finally, we add the two numbers: 15 + 7 = 22
Final Answer Therefore, the value of the expression b 10 a + 7 when a = 6 and b = 4 is 22.
Examples
Imagine you are calculating the total cost of materials for a project. You need 10 times the amount 'a' of a certain material, and this amount is then divided by 'b' to get the required quantity. Finally, you add a fixed cost of 7 to account for other expenses. By substituting the values of 'a' and 'b' into the expression, you can quickly determine the total cost of materials for the project. This type of calculation is useful in various fields, such as engineering, construction, and manufacturing, where accurate cost estimation is essential for project planning and budgeting.
The expression b 10 a + 7 evaluates to 22 when substituting a = 6 and b = 4 . This is calculated by first performing the multiplication, then the division, and finally adding the resulting numbers. The final result is 22 .
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