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Vsevolod [243]
3 years ago
6

Find the distance between the two points rounding to the nearest tenth (if needed)

Mathematics
1 answer:
Ede4ka [16]3 years ago
3 0

Answer:

6.3 units (nearest tenth)

Step-by-step explanation:

\boxed{Distance \: between \: 2 \: points =  \sqrt{ {(x1 - x2)}^{2} +  {(y1 - y2)}^{2}  } }

Using the formula above,

distance between (-8, 6) and (-6, 0)

=  \sqrt{ {[ - 8 - ( - 6)]}^{2}  +  {(6 - 0)}^{2} }

=  \sqrt{ {( - 8 + 6)}^{2}  +  {(6 - 0)}^{2} }

=  \sqrt{ {( - 2)}^{2} + 6^{2}  }

=  \sqrt{4 + 36}

=  \sqrt{40}

= 6.3 units (nearest tenth)

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Please help explanation if possible
Eva8 [605]

Answer:

612 adults

361 students

Step-by-step explanation:

To solve this question, set two equations:

Let x be number of adults and y be number of students.

As there are in total 937 people, the equation would be the sum of both adults and children:

x+y=937

x=937-y  ...... ( 1 )

As the total sale amount is $1109, the equation would be to add up the ticket fee:

2x+0.75y=1,109  ...... ( 2 )

Put ( 1 ) into ( 2 ):

2(937-y)+0.75y=1,109

1874-2y+0.75y=1,109

-1.25y=-765

y=763/1.25

y=612

Put y into ( 1 ):

x=973-612

x=361

Therefore there are 612 adults and 361 students.

5 0
3 years ago
Manuel bought 2kg of jelly beans and 2kg of gummy worms for a total of $26. Danny bought 2kg of jelly beans and 3kg of gummy wor
charle [14.2K]

Answer:

Jelly beans: $6 for 1 kg

Gummy worms: $7 for 1 kg

Step-by-step explanation:

In this question, we need to find the cost of 1kg of jelly beans and gummy worms.

To do this, make equations for both scenarios and solve:

2j + 2g = 26

2j + 3g = 33

Turn the bottom equation negative, as we will first solve for gummy worms (g).

2j + 2g = 26

-2j - 3g = -33

Solve:

-g = -7

Divide both sides by -1.

g = 7

We now know that gummy worms cost $7 for 1 kg

To solve for jellybeans (j), plug in 7 to g in one of the equations and solve:

2j + 2(7) = 26

2j + 14 = 26

Subtract 14 from both sides.

2j = 12

Divide both sides by 2.

j = 6

Jellybeans cost $6 for 1 kg.

Check answer by plugging in values to one of the equations:

2(6) + 2(7) = 26

12 + 14 = 26

26 = 26

3 0
3 years ago
Solve the math problem please
koban [17]

Answer:

Option D

Step-by-step explanation:

Collect all like terms and Calculate

-10x-7x= -17x

20-54= -34

Divide

-17x < -34

x>2

6 0
3 years ago
Read 2 more answers
The angle between 0 and 2π in radians that is coterminal with the angle 41/6π in radians is?
Inessa05 [86]

Answer:

  5π/6

Step-by-step explanation:

Subtract multiples of 2π until you find the angle in the desired range.

  41π/6 -36π/6 = 5π/6

The angle 5π/6 is co-terminal with 41π/6.

3 0
4 years ago
Solve for X:
galben [10]

Answer:

A. -61/9

Step-by-step explanation:

(7x + 28) + (7x +28) = 5x - 5 . . . . . . . given equation

14x +56 = 5x -5 . . . . . . . . . . . . . . . . . collect terms

9x = -61 . . . . . . . . . . . . . . . . . . . . . . . . subtract 5x+56

x = -61/9 . . . . . . . . . . . . . . . . . . . . . . . . divide by the coefficient of x

4 0
4 years ago
Read 2 more answers
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