The sum of the numbers is 7.69 * 10^6
<h3>How to evaluate the sum?</h3>
The expression is given as:
(1.54 times 10 superscript 6 baseline) (6.15 times 10 superscript 6 baseline)
Rewrite properly
(1.54 * 10^6) + (6.15 * 10^6)
Factor out 10^6
(1.54 + 6.15) * 10^6
Evaluate the sum
7.69 * 10^6
Hence, the sum of the numbers is 7.69 * 10^6
Read more about scientific notation at:
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Answer:
30.2
Step-by-step explanation
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The solutions are x equals 38 and x equals 40
To find the length of the yellow segment, we have to use Pythagorean's Theorem. But first, we have to find the length of the black line at the bottom.
Where a = 4ft and b = 9ft.
![\begin{gathered} c^2=4^2+9^2 \\ c^2=15+81 \\ c=\sqrt[]{96} \\ c\approx9.8 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3D4%5E2%2B9%5E2%20%5C%5C%20c%5E2%3D15%2B81%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B96%7D%20%5C%5C%20c%5Capprox9.8%20%5Cend%7Bgathered%7D)
So, the length of the black segment is 9.8 feet.
Now, we find the yellow line length
Where a = 4 and b = 6.
![\begin{gathered} c^2=4^2+6^2 \\ c^2=16+36 \\ c^2=52 \\ c=\sqrt[]{52} \\ c\approx7.2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3D4%5E2%2B6%5E2%20%5C%5C%20c%5E2%3D16%2B36%20%5C%5C%20c%5E2%3D52%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B52%7D%20%5C%5C%20c%5Capprox7.2%20%5Cend%7Bgathered%7D)
<h2>Therefore, the length of the yellow line is 7.2 feet.</h2>
Answer:
$6
Step-by-step explanation:
Set up a system of equations where b is the cost of a book and m is the cost of a movie:
9b + 5m = 124
4b + 21m = 318
Solve by elimination by multiplying the top equation by -21 and the bottom equation by 5:
-189b - 105m = -2604
20b + 105m = 1590
Add the equations together, then solve for b:
-169b = -1014
b = 6
So, the cost of a book is $6
