Answer:
77.76 times
Step-by-step explanation:
The average distance of Neptune from the sun
= 4.503 × 10
⁹ k
m
.
and Mercury = 5.791 × 10
⁷ k
m
.
Hence neptune is ( 4.503 × 10
⁹) ÷ (5.791
×
10
⁷ ) times farther from the sun than mercury
i.e.(
) × 10⁹⁻⁷ times
=
0.7776 × 10
² times
=
77.76 times.
Option C:
is the possible expressions for length, width and height of the prism.
Explanation:
The volume of the rectangular prism is 
To determine the length, width and height of the rectangular prism, let us factor the expression.
Thus, factoring 5x from the expression, we have,

Let us break the expression
into two groups, we get,
![5x[\left(12 x^{2}+8 x\right)+(21 x+14)]](https://tex.z-dn.net/?f=5x%5B%5Cleft%2812%20x%5E%7B2%7D%2B8%20x%5Cright%29%2B%2821%20x%2B14%29%5D)
Factoring 4x from the term
, we get,
![5x[4 x(3 x+2)+(21x+14)]](https://tex.z-dn.net/?f=5x%5B4%20x%283%20x%2B2%29%2B%2821x%2B14%29%5D)
Similarly, factoring 7x from the term
, we get,
![5x[4 x(3 x+2)+7(3x+2)]](https://tex.z-dn.net/?f=5x%5B4%20x%283%20x%2B2%29%2B7%283x%2B2%29%5D)
Now, let us factor out
, we get,

Hence, the possible expressions for length, width and height of the prism is 
Therefore, Option C is the correct answer.
Answer:
$41.16
Step-by-step explanation:
Length of bricks required = 35 feet, length of brick sold = 10 inches, cost of 10 inches brick = $0.98 per brick
Total number of brick required to build the back yard = Length of bricks required ÷ Length of brick sold
1 ft = 12 inches
Number of brick required = (35 * 12) ÷ 10
Number of bricks required = 42 bricks
Cost of brick required = Per length cost of brick * Number of bricks required
Cost of brick required = 0.98 * 42
Cost of brick required = $41.16
Ms. Fontanges would spend $41.16 on the purchase of bricks