Solve the system of equations and choose the correct answer from the list of options.

x + y = 1
y = x −5

Label the ordered pair as (x, y). (4 points)

a
(0, 0)

b
(3, −2)

c
(−2, 3)

d
(−3, 0)

Answer:

Answer attached

Step-by-step explanation:

Midpoint of AB = (1,0)

Let's check

midpoint of AB

Answer:

The answer is 18.1

Answer:

D

Step-by-step explanation:

Answer:

D. 6y/x²

Step-by-step explanation:

6×y= 6y

x squared =x²

Answer:

3245$  (im assuming the interest is yearly)

Step-by-step explanation:

using the is/of method

3%       x

___    ___  cross mult and divide. = 82.5 interest x 6 years of it  

100   2750

2750 + 495

Answer:

2m

Step-by-step explanation:

HxWxL

20m x 5m = 100m

200m/100m = 2m

Answer:

Common difference is 3. And the first term is 64.

Step-by-step explanation:

The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between.  And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64

Given:

The number is:

[tex]-(\dfrac{23}{47})[/tex]

To find:

The number that is equivalent to the given number.

Solution:

In option A,

[tex]-(-\dfrac{23}{47})=\dfrac{23}{47}[/tex]            [tex][\because (-)(-)=(+)][/tex]

In option B,

[tex]\dfrac{23}{-47}=-\dfrac{23}{47}[/tex]

In option C,

[tex]\dfrac{-23}{-47}=\dfrac{23}{47}[/tex]

In option D, we have

[tex]\dfrac{23}{47}[/tex]

The numbers in options A, C and D are equivalent to [tex]\dfrac{23}{47}[/tex]. So, options A, C and D are incorrect.

The numbers in options B is equivalent to [tex]-(\dfrac{23}{47})[/tex]. So, option B is correct.

Therefore, the correct option is B.

Answer:

C) 30 minutes

Step-by-step explanation:

According to the line of best fit, when x=360, y=30, which means that a teenager spends 30 minutes watching television if they spend 360 minutes on the computer.

Answer:

=48

Step-by-step explanation:

Answer:

k/-8=-6

k=-6*-8

k=48

Step-by-step explanation:

Answer:

[tex]\sqrt{3} = q[/tex]

Step-by-step explanation:

Sin(45) = q/[tex]\sqrt{6}[/tex]

Sin(45) * [tex]\sqrt{6}[/tex] = q

[tex]\sqrt{3} = q[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Numerator:  2^3

Denominator:  2^(1/2)

Combining these, we subtract 1/2 from 3, obtaining 2^(5/2)

Answer:

x= -1,-7                

Step by step:

Answer:

x = -7 and -1

Step-by-step explanation:

Move the right side of the equation over to the left;

x^2+8x+7 = 0; Factor

(x+7)(x+1)=0 ; Solve for x;

x = -7 and -1

Answer:

in 5 weeks i think

Step-by-step explanation

I added 300+20 5 times. Same with the 250

Answer:

5

Step-by-step explanation:

to vick = W1 = 300 + 20 x    (  1 )

to anya = W2 = 250 + 30 x    ( 2)           Both 1 and 2 ( simulataneous )

When W1 =  W2

300 + 20 x = 250 + 30 x

          10 x   = 5

  so they need 5 months

Answer:

½

Step-by-step explanation:

since they're 4 of them and she has 1 chance of being 1st or 2nd...it would be 2 out of 4 and when simplified it is ½

Answer:

sAy yOu aRe mY bAkA

Step-by-step explanation:

ty for the points <3

Answer:

400m

Step-by-step explanation:

It s be the perimeter.

Length X2 sides + width x 2 sides

125       X2 sides +  75.   X2 sides

        250 + 150

      400m

Answer: $1.15

Step-by-step explanation:

The question is How much did each roll of crepe paper cost?

Let the cost of crepe paper be x

Let the cost of balloons be y.

Six rolls of crepe paper and 20 balloons cost $11.90. This will be:

6x + 20y = 11.90 ......... i

2 more rolls of crepe paper and 15 more balloons for $6.05. This will be:

2x + 15y = 6.05 ......... ii

6x + 20y = 11.90 ......... i

2x + 15y = 6.05 ......... ii

Multiply equation i by 15

Multiply equation ii by 20

90x + 300y = 178.50 ........ iii

40x + 300y = 121 ........ iv

Subtract iv from iii

50x = 57.50

x = 57.50/50

x = 1.15

Therefore, a crepe paper cost $1.15

Answer: rectangle not sure tho

Step-by-step explanation:

Answer:

Step-by-step explanation:

i chose B:square, i out in the points and that what shape came up. srry if im wrong

Answer:

2√5

Step-by-step explanation:

d = √(x2 - x1)² + (y2 - y1)²

= √[1 - (-1)]² + [3 - (-1)]

= √(2)² + (4)²

= √(4) + (16)

= √20

= 2√5

Answer: 50.26548 (50.27)

Step-by-step explanation:

Circumference = 2 x π x r(radius)

Diameter = 2 x r(radius)

C = π x 16 = 50.26548

Answer:

5027.2ft^2

Step-by-step explanation:

Given data

Radius= 40ft

The expression for the area covered is given as

A= πr^2

Substitute

A= 3.142*40^2

A=3.142*1600

A=5027.2ft^2

Hence the area covered is 5027.2ft^2

Answer:

B: 12/25

Step-by-step explanation:

You have the correct answer marked. This is correct because the probability of grabbing a purple marble is 24/50 which if we divide by 2 to simplify is 12/25.

Answer:

m∠1 = 70°

Step-by-step explanation:

Step 1

Sum of angles on a straight line = 180°

Hence:

180° - 101°

= 79°

Sum of interior angles in a triangle = 180°

Therefore,

m∠1 = 180° - (79 ° + 31°)

m∠1 = 180° - 110°

m∠1 = 70°

Answer:

6

Step-by-step explanation:

[tex]1)\ P_1 = 11 + 8 + 5 = 24\ units[/tex]

[tex]2)\ 2x + 4 + y +z = 48[/tex]

[tex]3)\ \frac{48}{24} = 2 => 2x+4 = 2*8[/tex]

[tex]4)\ 2x+4 = 2*8 => 2x + 4 = 16 => 2x = 12 => x = 6[/tex]

Answer:

6

Step-by-step explanation:

[tex] \triangle CDE \sim \triangle FGH[/tex]

[tex] \frac{P(\triangle CDE) }{P(\triangle FGH)} =\frac{CD}{GH} [/tex]

(Area of similar triangle theorem)

[tex] \frac{11+8+5}{48} =\frac{8}{2x +4} [/tex]

[tex] \frac{24}{48} =\frac{8}{2x +4} [/tex]

[tex] \frac{1}{2} =\frac{8}{2x +4} [/tex]

[tex] 2x + 4 = 2\times 8[/tex]

[tex] 2x + 4 =16[/tex]

[tex] 2x =16-4[/tex]

[tex] 2x =12[/tex]

[tex] x =\frac{12}{2} [/tex]

[tex] x = 6 [/tex]

Answer:

29,500 g

Step-by-step explanation:

1 kg = 1000 g.

29500

Step-by-step explanation:

29 multiplied by 1000 is 29k grams and if we add the .5 kilos which is basically 500 grams we get 29500 grams.