What is the solution to the system of equations?
y = 2/3x+ 3
x=-2

{-2, -15/2}
{-2, 5/3}
{-2, 11/6}
{-2, 13/3}

Answer:

17. 25 [tex]in^2[/tex]

18. 53 [tex]m^2[/tex]

19. 21.6 [tex]cm^2[/tex]

20. 20.8 [tex]km^2[/tex]

Step-by-step explanation:

The area of a parallelogram is simply the base multiplied by the height.

17.

Base = 5 in

Height = 5 in

Area = Base * Height

Area = 5 * 5

Area = 25 [tex]in^2[/tex]

18.

Base = 10 m

Height = 5.3 m

Area = Base * Height

Area = 10 * 5.3

Area = 53 [tex]m^2[/tex]

19.

Base = 5.4 cm

Height = 4 cm

Area = Base * Height

Area = 5.4 * 4

Area = 21.6 [tex]cm^2[/tex]

20.

Base = 5.2 km

Height = 4 km

Area = Base * Height

Area = 5.2 * 4

Area = 20.8 [tex]km^2[/tex]

Answer:

7 and 19

Step-by-step explanation:

x—smaller number

x+12—larger number

x+x+12=26

2x=26-12

2x=14

x=7

x+12=7+12=19

9514 1404 393

Answer:

  x = 15

Step-by-step explanation:

Chords equidistant from the circle center subtend the same arc measure. The sum of the three arcs of the circle is 360°, so you can write the relation ...

  2(10x -23)° +106° = 360°

  2(10x -23) = 254 . . . . . . . . divide by °, subtract 106

  10x -23 = 127 . . . . . . . . . divide by 2

  10x = 150 . . . . . . . . . . add 23

  x = 15 . . . . . . . . . . . divide by 10

Answer:

16

Step-by-step explanation:

mode = the most

mean = ave

median = the no. in between

so arrange those five costs the one in the middle is 16

the answer is 6

8+10=18

12+?=18

12+6=18

Answer:

26

Step-by-step explanation:

n*2 - 4 = 48

Answer:

[tex]x^2+6x+5=0[/tex]

Step-by-step explanation:

Hi there!

[tex]ax^2+bx+c=0\\x^2+6x+8=3[/tex]

Subtract 3 from both sides to equate the right side to 0

[tex]x^2+6x+8-3=3-3\\x^2+6x+5=0[/tex]

I hope this helps!

Answer:

Square root of 72 is 8.48.

Square root of 90 is 9.48

Answer:

an awnser is an inut example of salt or sugar so it should be around 450 volts

Step-by-step explanation:

thats its capacity

Answer:

See Annex ( Tree diagram )

Step-by-step explanation:

1) Attached

2) Probability of the second ball is yellow is

P(2nd ball is yellow ) = Probability 2nd ball s yellow (if the first one was black) + Probability 2nd ball s yellow (if the first one was Yellow)

P(2nd ball is yellow ) = 0,204 + 0,045

P(2nd ball is yellow ) = 0,249

Answer:

between 30 and 60

Step-by-step explanation:

Answer:

(x - 5)² + (y + 13)² = 121

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (5, - 13 ) and r = 11 , then

(x - 5)² + (y - (- 13))² = 11² , that is

(x - 5)² + (y + 13)² = 121

Answer:

At the end of the mortgage, $ 293,125 will have been paid.

Step-by-step explanation:

Given that Kaila wants to borrow $ 175,000 for her mortgage, and Timberwolf Bank offers a 15-year mortgage at an APR of 4.5%, to determine the amount to be repaid after the end of the mortgage, the following calculation must be performed:

175,000 x (1 + 15 x 4.5 / 100) = X

175,000 x (1 + 67.5 / 100) = X

175,000 x (1 + 0.675) = X

175,000 x 1,675 = X

293.125 = X

Therefore, at the end of the mortgage, $ 293,125 will have been paid.

Answer:

16y−32z

Step-by-step explanation:

:D

Answer:

16y−32z

Step-by-step explanation:

multiply the like terms

subtract and add like terms

Answer:

(-4, -2).

Step-by-step explanation:

Compare y = (1/2)(x + 4)^2 – 2 to the standard equation:

                y =    a(x - h)^2 + k       whose vertex is at (h, k).  

We see that h = -4 and k = -2.  Thus, the vertex of the vertex of the given parabola are (-4, -2).

Answer:

$24

Step-by-step explanation:

160 * 0.15 = 24

Answer:

so im unsure if the (2) is in the equation so i have two answers

(with 2) 8p      (−3c+p)

(without 2) 4p(−3c+2p)

Step-by-step explanation:

(with 2)

Factor 8p2−12pc(2)

−24cp+8p2

=8p(−3c+p)

answer 1: =8p(−3c+p)

(without 2)

Factor 8p2−12pc

−12cp+8p2

=4p(−3c+2p)

answer 2: =4p(−3c+2p)

Answer:

true, false, false, true.

Step-by-step explanation:

if you need explanation just comment

Answer:

The same as the person who has already answered

True, False, False, True

Step-by-step explanation:

Answer:

the perimeter in unites of abc with 3, -3 is a

Answer:

18 Units

Step-by-step explanation:

According to the calculator

Answer:

201 in²

Step-by-step explanation:

area = πr² = (3.14)(8²) = 200.96 in²

Answer:the law of sines is the relationship between the sides and angles of the ratio of the length of a side of triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer: 8

Explanation: To multiply two square roots together, simply multiply the numbers inside the square roots together to get [tex]\sqrt{64}[/tex] which is 8.

Notice that when you multiply a square root times itself, the radical disappears, and you're left with the number inside the original square root.

Answer:

I believe the answer is A.

Step-by-step explanation:

I don't really know how to really explain it tho

a. The probability that a piece selected at random is a white rook is 1/16.

b. 256 ways can you choose one white piece and one black piece.

c. 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.

Given that, a chess set has 32 pieces, 16 black and 16 white. In each colour, there are 8 pawns, 2 rooks, 2 knights, 2 bishops, 1 queen and 1 king.

The formula to find the probability of an event is P(E)=Number of favourable outcomes/Total number of outcomes.

a. The probability that a piece selected at random is a white rook

=2/32=1/16

Therefore, the probability that a piece selected at random is a white rook is 1/16.

b. Number of ways can you choose one white piece and one black

piece=16×16=256

Each white piece can go with a black piece 16 times and the same the other way.

Hence, 256 ways can you choose one white piece and one black piece.

c. nPr=P(4,3)=4!/3=24/3=8 ways.

Hence, 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.

This is a permutation.

a. The probability that a piece selected at random is a white rook is 1/16.

b. 256 ways can you choose one white piece and one black piece.

c. 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.

To learn more about the permutation visit:

https://brainly.com/question/1216161.

#SPJ2

9514 1404 393

Answer:

  20, 50

Step-by-step explanation:

Let x and y represent the two numbers.

  x + y = 70 . . . . . . their sum is 70

  2x +10 = y . . . . . . one is 10 more than twice the other

Using the second equation to substitute for y in the first equation, we have ...

  x + (2x +10) = 70

  3x = 60 . . . . . . . . . subtract 10

  x = 20 . . . . . . . . . divide by 3

  y = 70 -20 = 50 . . . find the other number

The two numbers are 20 and 50.

Answer:

The firm's fixed-charge coverage ratio is 7.89 times

Explanation:

Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.

The formula to compute the fixed charge coverage ratio is shown below:

= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)

= ($400,000 + $50,000) ÷ ($50,000 + $7,000)

= $450,000 ÷ $57,000

= 7.89 times

The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.

Hence, the firm's fixed-charge coverage ratio is

Answer:

The firm's fixed-charge coverage ratio is 7.89 times

Explanation:

Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.

The formula to compute the fixed charge coverage ratio is shown below:

= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)

= ($400,000 + $50,000) ÷ ($50,000 + $7,000)

= $450,000 ÷ $57,000

= 7.89 times

The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.

Hence, the firm's fixed-charge coverage ratio is 7.89 timesAnswer:

The firm's fixed-charge coverage ratio is 7.89 times

Explanation:

Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.

The formula to compute the fixed charge coverage ratio is shown below:

= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)

= ($400,000 + $50,000) ÷ ($50,000 + $7,000)

= $450,000 ÷ $57,000

= 7.89 times

The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.

Hence, the firm's fixed-charge coverage ratio is 7.89 timesAnswer:

The firm's fixed-charge coverage ratio is 7.89 times

Explanation:

Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.

The formula to compute the fixed charge coverage ratio is shown below:

= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)

= ($400,000 + $50,000) ÷ ($50,000 + $7,000)

= $450,000 ÷ $57,000

= 7.89 times

The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.

Hence, the firm's fixed-charge coverage ratio is 7.89 times

Answer:

5 m/s

Step-by-step explanation:

Answer:

y = 0.625 + x

Step-by-step explanation:

Carly = x

Alvin = y

y = 5/8 + x

5/8 = 0.625

y = 0.625 + x