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Vinvika [58]
3 years ago
8

Determine the number of solutions the system of 1/3y-5=2x and y=3(2x+5)

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer:

A. (4,1)

Step-by-step explanation:

2x -5y = 3

x -3y = 1

Change the equation to isolate a variable so you can substitute it in the other one.

x = 1+3y so

2(1+3y) -5y = 3

2 + 6y -5y =3

2 + y = 3

y=1

Back to the easy equation we isolated

x = 1+3(1)

x= 4

(4,1) is a point where x=4 and y=1

hendikeps2 and 22 more users found this answer helpful

THANKS

13

5.0

(9 votes)

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How many different ways
Lorico [155]

Answer:

120 different ways

Step-by-step explanation:

The formula to count the permutation since the order the matters: nPr = n! / (n - r)!, where n is the total number and r is the total number of chosen.

1) Substitute values into the formula. SMILE has 5 letters, and we choose 5.

5P5 = 5! / (5 - 5)!

5P5 = 5! / 0!

Zero factorial (0!) is always 1.

So, 5P5 = 5! / 1

5! = 5 × 4 × 3 × 2 × 1

5! = 120

Therefore, 5P5 = 120 / 1, which is 120. We can arrange the word SMILE in 120 different ways.

3 0
2 years ago
Kevin wants to earn more than $58 trimming trees. He charges S6 per hour and pays $8 in equipment fees. What are the possible nu
jonny [76]

Answer:

58 ≤ 6r - 6

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Step-by-step explanation:

6 0
3 years ago
If f(x) = 2x to the second power - 10, find f(5)
Aleksandr [31]
F(5) = 2(5)^2 - 10
f(5) = 2(25) - 10
f(5) = 50 - 10
f(5) = 40
7 0
3 years ago
Of all the species in the world, 4 out of every 5 are insects what percentage of species are insects
Fiesta28 [93]

Answer:

80%

Step-by-step explanation:

So you basically, just make it a ratio. Since a percentage is out of 100, just make the 5 into 100. To get 5 to 100, you times 20. Then you do the same thing to the 4 which you get 80.

5 0
3 years ago
Solve 2x - 8 + 3x > 5x - 4 also if you can plz explain
WITCHER [35]

Answer:

No solution

Step-by-step explanation:

2x - 8 + 3x > 5x - 4

2x + 3x - 8 > 5x - 4

5x - 8 > 5x - 4

-5x +8 > -5x  +8

----------------------

0x > 4

This is no solution, as there is no 'x' value.

(0x just means there isn't anything left, I put that in order to show there wasn't anything.)

7 0
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