At the football game, 3 hamburgers and 6 soft drinks cost $27, and 3 hamburgers and 3 soft drinks cost $18. Which two equations can be used to determine the price of a hamburger and the price of a soft drink?

Let x represent the cost of a hamburger and y represent the cost of a soft drink.

Answer:

y = (2/5)x + 3

Step-by-step explanation:

Note that the y-intercept is (0, 3) and that the line passes right through the point (5, 5).  First we find the slope of this line:  m = rise/run.

As we move from (0, 3) to (5, 5), we see that x increases by 5 (the run) and y increases by 2 (the rise).  Thus, the slope of this line is m = 2/5.

Now we know that m = 2/5, x = 5, y = 5 and b (the y-intercept) is 3.  Then our equation is y = mx + b, or y = (2/5)x + 3

Answer:

The equation is [tex]y = \frac{2}{5} x+3[/tex]

Step-by-step explanation:

The line of best fit has an x-intercept of 3, so the constant in the equation would be 3. Since one of the points on the line is (5, 5), the change in y over the change in x (the slope) is going to be [tex]\frac{5-3}{5-0}[/tex] or [tex]\frac{2}{5}[/tex]. So the line's equation is [tex]y = \frac{2}{5} x+3[/tex].

Answer:

Prime factorization of 28 and 35 is (2 × 2 × 7) and (5 × 7) respectively. As visible, 28 and 35 have only one common prime factor i.e. 7.

Answer:

Step-by-step explanation:

a-5=62 add 5 to both sides

a=67

Answer:

Pete

Step-by-step explanation:

Given that:

Mandy's Estimate :

Number of spins , n = 20

Pete's Estimate:

Number of spins, n = 200

A good probability estimate is one which has narrow margin of error with a high degree of confidence. These two variables are affected by sample size.

A high sample size give a narrower margin of error and increases the confidence level probability

Based on the sample size used by each of Pete and Mandy, we can conclude that, Pete's probability estimate would be better due to its significantly higher sample size.

Answer:

Total distance covered = 436 yards

Step-by-step explanation:

Walking path BE joins the midpoints B and E of the sides AC and AD.

By midsegment theorem,

"Line joining midpoints of two sides of a triangle is parallel and measure half of the third side"

m(BE) = [tex]\frac{1}{2}[m(CD)][/tex]

CD = 2(BE)

CD = 2(74) = 128 yd

From starting point D,

DE = 107 yd

EB = 74 yd

BC = [tex]\frac{254}{2}[/tex]

     = 127 yd

CD = 128 yd

Total walking distance = DE + EB + BC + CD

                                      = 107 + 74 + 127 + 128

                                      = 436 yd

Total distance covered = 436 yards

Answer:

456

Step-by-step explanation:

107

74

254/2 =127

74x2=148

107+74+127+148=456

Answer:

40 degrees

Step-by-step explanation:

the angles of a triangle add up to 180 degrees,

180 = x + 85 + 55

180 = x + 140

40 = x

Step-by-step explanation:

1 i dont know

2.

[tex]5(3y - 2) = 35 \\ = 15y - 10 = 35 \\ = 15y = 35 + 10 = 45 \\y = \frac{45}{15} = 3[/tex]

3.

[tex] \frac{88}{100} = \frac{22}{25} [/tex]

Answer:

Step-by-step explanation:

I hope it could help u and if isn't clear then let me know ..

Answer:

15

Step-by-step explanation:

Answer:

I don’t know I think it is 1,8 tho

Step-by-step explanation:

Sorry if it’s wrong

Answer:

y= -4x+8 or -4/1x+8

Step-by-step explanation:

8 is the slope and it is positive

Rise over run is Right 4 and down 1 so that is Plus 4 and negative 1

Answer:

0N

Step-by-step explanation:

Force = mass * acceleration

Given

Mass = 5kg

velocity = 19m/s

IF the velocity of the body is constant, then the acceleration will be zero.

Force = 5 * 0

Force = 0N

Hence the net  force on the rock is 0N

Answer:

One solution, which is x=0.

Step-by-step explanation:

12(x-3)+18=6(x-3)

12x-36+18=6x-18

12x-18=6x-18

12x-6x-18=-18

6x-18=-18

6x=-18+18

6x=0

x=0/6

x=0

Answer:

1) 30

2) 13

Step-by-step explanation:

I could be wrong but i counted all of the full squares in the shape

Answer:

0.0081

Step-by-step explanation:

yes bye that's the answer

Answer:

0.0081

Step-by-step explanation:

mark as BRAINLIST I

Answer:

C

Step-by-step explanation:

Answer:

6!

Step-by-step explanation:

chord x chord = chord x chord

(5) (n+8) = (7) (n+4)

i just started plugging in numbers

(5) (6+8) = (7) (6+4)

5 x 14 = 7 x 10

70=70

Answer:

Point A

Step-by-step explanation:

Hope it help

9514 1404 393

Answer:

  2x +y = -2

Step-by-step explanation:

The bisector must have a slope that is the negative reciprocal of the slope of the line between these points. It must pass through the midpoint of the segment.

The slope of the line through the given points is ...

  m = (y2 -y1)/(x2 -x1)

  = (5 -(-1))/(4 -(-8)) = 6/12 = 1/2

The slope of the required bisector is then ...

  m = -1/(1/2) = -2

__

The midpoint of the given segment is ...

  ((-8, -1) +(4, 5))/2 = (-8+4, -1+5)/2 = (-4, 4)/2 = (-2, 2)

__

Then the point-slope form of the equation of the bisector is ...

  y -y1 = m(x -x1)

  y -2 = -2(x -(-2))

  y = -2x -4 +2

  y = -2x -2 . . . . . . . slope-intercept form equation

  2x +y = -2 . . . . . . . standard form equation

Answer:

11/3

Step-by-step explanation:

39=6+9y

                                          39-6=9y

                                           33=9y

                                          33/9=y

                                           33/9=11/3                                                  

Answer:

(-2,-1)

Step-by-step explanation:

A square has all equal sides so the number between each point is 3. That means, the point has to be 3 away from the other point.

Answer:

Step-by-step explanation:el primer número siempre es x, entonces lo cuentes primero en la línea horiolas el número de espacios que te pide, el segundo es es y , este o cuentes de arriba hacia abajo.

te dejo la respuesta de todos modos

(-2,-1)

Answer:

3

Step-by-step explanation

3 x 4

Answer:

3

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

7x+15=141

7x=141-15

7x=126

7/7=126/7

x=18

have a good day!

pls brainliest

Answer:

Radius = 6 ft

Diameter = 12 ft

Circumference = 37.7 ft

Step-by-step explanation:

The radius of the circle is the measurement from the center of the circle to the edge. The diagram gives us the radius, 6 ft.

Radius = 6 ft

The diameter of the circle is the measurement from the edge of the circle through the center, extending back to the edge. The diameter is equal to double the radius.

6*2=12

Diameter = 12 ft

The circumference of the circle is the distance around its edge or the perimeter of the circle. We use the below equation to solve for it:

[tex]C=\pi d[/tex] where [tex]d[/tex] is the diameter

Plug the diameter (12) into the equation

[tex]C=\pi (12)\\C=37.7[/tex]

(This answer is approximate)

Circumference = 37.7 ft

I hope this helps!

Answer:

-r+15

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

a triangle degrees altogether is 180 degrees

80+40=120

so 180-120=60

Answer:

Step-by-step explanation:

bc is hypotunuse

therefore 1.2^2+3.9^2=BC^2

4.1(1dp)

Answer:

The x = 102

Step-by-step explanation:

The whole angle is 180 so you have to do 180-78 to get the other angle .

Answer:

x = 102

Step-by-step explanation:

x + 78 = 180 {linear Pair}

      x = 180 - 78

     x = 102

Answer:

a

Step-by-step explanation: