Answer: 6
Step-by-step explanation:
3/4 x 12 =36/4
12 x 1/2=6
Answer:
11
Step-by-step explanation: 100 cents- $1
85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 = 935
935 or 9.35 dollars
Answer:
The equation of the sphere with center (-2, 3, 7) and radius 7 is
.
The intersection of the sphere with the yz-plane is
.
Step-by-step explanation:
We know that any sphere can be represented by the following equation:

Where:
,
,
- Coordinates of the center of the sphere, dimensionless.
- Radius of the sphere, dimensionless.
If
and
, we obtain this expression:

The intersection of the sphere with the yz-plane observe the following conditions:
,
, 
Hence, the expression above can be reduced into this:

Answer:
The total cost charged by the two companies will be the same for 10 square yards of carpeting .
Step-by-step explanation:
Let us assume that the number of square yards for carpeting used be x.
Let us assume that the total cost of the charged by the companies be y.
As given
Country Carpets charges $22 per square yard for carpeting, and an additional installation fee of $100.
Than the equation becomes
y = 22x + 100
As given
City Carpets charges $25 per square yard for the same carpeting, and an additional installation fee of $70.
Than the equation becomes
y = 25x + 70
Than the two equations are
y = 22x + 100 and y = 25x + 70
Than compare the two equations are
22x + 100 = 25x + 70
25x - 22x = 100 - 70
3x = 30

x = 10 square yards .
Therefore the total cost charged by the two companies will be the same for 10 square yards of carpeting .
Answer:
The probability of getting an even number at the first die is 1/2 (as the probability of even = the probability of odd = 1/2); 2. The probability of getting a total of 8 is 5/6^2, as there are 5 different favorable scenarios: (2,6), (6,2), (3,5), (5,3) and (4,4);
Step-by-step explanation: