Solve a system of equations using substitution: word problems

1 answer:

4 0

Restaurant 1 : y = 7k + 39
restaurant 2 : y = 2k + 44

7k + 39 = 2k + 44
7k - 2k = 44 - 39
5k = 5
k = 5/5
k = 1

y = 2k + 44
y = 2(1) + 44
y = 2 + 44
y = 46

Dinner would cost $ 46 at either restaurant if Lina's lobster weighed 1 kilogram.

You might be interested in

Plz will gave a brain who ever answer this will get a brain

inessss [21]

Energy in the form of HEAT

8 0

2 years ago

Using 50 observations, the following regression output is obtained from estimating y = β0 + β1x + β2d1 + β3d2 + ε. Coefficients

pickupchik [31]

Answer:

The answer is "789.03 and 806.16".

Step-by-step explanation:

$y\^ \ \ = -0.45 + 3.78(x) -11.88(d_1) + 5.25(d_2)$

For point a:

Calculating the value for $y\^ \ \ x = 212,\ \ d_1 = 1, and \ \ d_2 = 0$

$y\^ = -0.45 + 3.78(212) -11.88(1) + 5.25(0)$

$= -0.45 + 801.36 -11.88 + 0\\\\= 789.03$

For point b:

Calculating the value of $y\^ \ \ for \ \ x = 212, \ \ d_1 = 0, and \ \ d_2 = 1$

$y\^ = -0.45 + 3.78(212) -11.88(0) + 5.25(1)$

$= -0.45 + 801.36 -0 + 5.25\\\\= 806.16$

3 0

3 years ago

What is the equation of the line with a slope of 1/4 and a y-intercept of 2?

ELEN [110]

Equation of the line in slope intercept form is

y = 1/4 * x + 5. Slope is 1/4. Intercept is 5.

If x= 4, y = (1/4)*4 + 5 = 6.

The point (4,6) lies on the line.

Equation of the line in point slope form is

(y - y1)= m * (x - x1) where m is slope & (x1,y1) is point on the line.

Substituting slope m= 1/4 & point (4,6),

Equation of the line in point-slope form is:

(y - 6) = 1/4 * (x - 4).

Sanjay C.

6 0

2 years ago

Read 2 more answers

A ball is rolling up a gentle at 4m/s and a mass of 12 kg.

Lady bird [3.3K]

Momentum is mass times velocity so the answer is 48kgm/s

6 0

3 years ago

Can someone help please

yanalaym [24]

Step-by-step explanation:

a) The volume of the prism is