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Nastasia [14]
3 years ago
5

The solution for the system equations 8x-6y=-32 and -8x+5y=36

Mathematics
1 answer:
Ghella [55]3 years ago
6 0

Answer:

x=47, y=68

Step-by-step explanation:

Add the two equations. Then we get

-y=-68

y=68

Substituting the value of y in the first equation,

8x-6(68)=-32

8x-408=-32

8x=376

x=47

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The difference between three times a number M and 11 is 10
natima [27]

Answer:

m = 7

Step-by-step explanation:

3m - 11 = 10

3m = 10 + 11

3m = 21

m = 21/3

m = 7

3 0
3 years ago
The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π?
olga nikolaevna [1]

Answer:

The volume of the cone is;

100 π inches^3

Step-by-step explanation:

To calculate the volume, we need the height

We can get the height from the slant height and the radius

Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle

The right-angled triangle has the slant height as its hypotenuse

By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

Let the height be h

Thus;

12^2 = 5^2 + h^2

169= 25 + h^2

h^2 = 169-25

h^2 = 144

h = √1144 inches = 12 inches

The volume of the cone is;

1/3 * π * r^2 * h

= 1/3 * π * 5^2 * 12

= 100 π inches^3

4 0
3 years ago
A recent study of 200 nurses found that of 125 female nurses 56 held bachelor's degrees; of the males 34 held bachelor's. If a n
bonufazy [111]
Need to develop a contingency table (often used for calculating probabilities when the focus is on conditional probability).

The nurse is either M or F.
The nurse either has a BS degree or does not.

Since there are 125 female nurses, and 56 of those held bachelors degrees, that leaves (125-56), or 69, who did not hold bachelors degrees.  Complete this table.  I found that there are 75 male nurses and 125 female nurses.  Note that 75 and 125 add up to 200 (which is the given number of nurses).
5 0
4 years ago
Solve for X-4 1/6 = 9 1/3
Gala2k [10]

Answer:

  13 1/2

Step-by-step explanation:

X-4 1/6 = 9 1/3

Add 4 1/6 to each side

X-4 1/6+ 4 1/6 = 9 1/3 + 4 1/6

x = 9 1/3 + 4 1/6

  = 9 2/6 + 4 1/6

   13 3/6

    13 1/2

5 0
3 years ago
Anna is 9 years old, and this year she received $10 from her aunt on her birthday. Her aunt has told
son4ous [18]

Answer:

M(y)=10y+10

Step-by-step explanation:

6 0
3 years ago
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