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Oksanka [162]
2 years ago
11

3. A sprinkler rotates 75°, pauses, and then rotates another 75°, How many degrees did it rotate altogether?

Mathematics
1 answer:
prisoha [69]2 years ago
6 0

Answer: 150 degrees

Step-by-step explanation:

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35 solve the following syste
blondinia [14]

Part A: The solution is (-0.923,5.692)

Part B: The point (3,7) is not in the solution set.

Explanation:

Part A: The given inequalities are 3 x+4 y>20 and x

The solution can be determined by solving the two inequalities by substitution method.

Changing inequalities to equality, we have,

x=3 y-18 and 3 x+4 y=20

Let us substitute x=3 y-18 in the equation 3 x+4 y=20 , we get,

3 (3y-18)+4 y=20

   9y-54+4y=20

                  13y=74

                     y=5.692

Substituting y=5.692 in x=3 y-18, we get,

x=3 (5.692)-18

  =17.076-18

x=-0.923

Thus, the solution set is (-0.923,5.692)

Part B: Now, we shall determine whether the point (3,7) is in the solution set.

Let us substitute the point (3,7) in the inequalities 3 x+4 y>20 and x, we get,

3 (3)+4 (7)>20

      9+28>20

            37>20

Also, substituting (3,7) in x, we get,

3

3

3

Since, the point (3,7) does not satisfy one of the inequality x , the solution set does not contain the point (3,7)

Thus, the point (3,7) is not in the solution set.

8 0
2 years ago
If anybody willing to help me with my geometry work that’s done by 6pm please contact me by my number 9014132287
My name is Ann [436]
Do not listen to those bots
4 0
2 years ago
A fitness club has two options, one for members and one for nonmembers. Members pay a one-time registration fee of $12 plus $8 p
Liula [17]

Answer:

See below.

Step-by-step explanation:

Let's look at the cost for members (C1) first.  Let x be the number of visits.

C1(x) = 12 + 8x

For non-members (C2), we can do the same.

C2(x) = 10x

You can graph these two equations.

x        C1         C2

0       12          0

1        20        10

2       28        20

3       36        30

4       44        40

5       52        50

6       60        60

7       68        70

Let's make the two equations equal, to find out where the benefit is the same.

12 + 8x = 10x

2x = 12

x = 6

Up to 5 visits, the non-member cost is better.  At 6 visits, there's the same price.  For more than 6 visits, the member cost is better.

7 0
2 years ago
517 37/50 + 312 3/100
fgiga [73]

Answer: 829 3/4 or 829 75/100

Step-by-step explanation:

6 0
3 years ago
Jeremy’s fruit stand sells peaches and watermelons. In the first hour the fruit stand is open, 12 bushels of peaches and 5 water
polet [3.4K]
We define the variables:
 p: cost of bushel of peaches
 w: cost of watermelon
 We wrote the system of equations:
 12p + 5w = 150
 15p + 8w = 198
 We can represent the system in matrix form as
 Ax = b
 
Where,
 A = [12 5; 15 8]
 
b = [150; 198]
 
x = [p; w]
3 0
3 years ago
Read 2 more answers
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