Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Answers

Answer 1

Answer: If you want to find how the graphs of the functions for the two months are similar and how they are different, here is the answer:

Both are straight lines.
Both slopes are the same.
The x and y intercepts are different.

Hope that helps :)

Answer 2

Answer:

Answer: y = -2/3x + 490

Step-by-step explanation:

2x +3y = 1470

Slope intercept form definition: y = mx + b is the slope-intercept form of a line where m is the slope and b is the y-intercept.

2x + 3y = 1470

2x + 3y -2x = 1470 - 2x - Subtract 2x from both sides

3y = 1470 - 2x - Simplify

3y/3 = 1470/3 - 2x/3 - Divide both sides by 3

y = -2/3x + 490 - Simplify

-⅔ is the slope and 490 is the y-intercept

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A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center is located at (11,11) and the Bus Station is located at (-3,3).

Answers

Answer:

(25,19)

Step-by-step explanation:

We are to find the location of the train station.

Using the formula for calculating midpoint given as:

M(X,Y) = [(x1+x2)/2, (y1+y2)/2]

X = x1+x2/2

Y = y1+y2/2

Given

M(X,Y) = (11,11)

Bus station (x1, y1) = (-3,3)

Substituting the given parameters into the formula.

11 = -3+x2/2

Cross multiply

11×2 = -3+x2

22 = -3+x2

x2 = 22+3

x2 = 25

Similarly

Y = y1+y2/2

11 = 3+y2/2

Cross multiply

11×2 = 3+y2

22 = 3+y2

y2 = 22-3

y2 = 19

Hence the location of the train station is at (25,19)

The sum of -3/8 and 2 2/3

Answers

Answer:

27/24 or (Decimal: 2.291667)

Step-by-step explanation:

Solve for x: 2 over 3 (x - 4) = 2x.

Answers

2/3 (x - 4 ) = 2x

Simplify both sides of the equation.

2/3(x−4)=2x

Simplify:

2/3(x−4)=2x

(2/3)(x)+(2/3)(−4)=2x(Distribute)

2/3x+−8/3=2x

Subtract 2x from both sides.

2/3x+−8/3−2x=2x−2x

−4/3x+−8/3=0

Add 8/3 to both sides.

−4/3x+−8/3+8/3=0+8/3

−4/3x=8/3

Multiply both sides by 3/(-4).

(3/−4)*(−4/3x)=(3/−4)*(8/3)

x=−2

The correct answer for the value of for the expression $(2)/(3)(x - 4) = 2x$ is

-2.

To solve for x in the equation:

$(2)/(3)(x - 4) = 2x$

First, distribute the $(2)/(3)$ to the terms inside the parentheses:

$(2)/(3) x - (2)/(3)*4 = 2x$

$(2)/(3) x - (8)/(3) = 2x$

Next, Isolate the terms with x on one side of the equation.

Subtract $(2)/(3)x$ term from both side of the equation:

$(2)/(3) x - (2)/(3) x-(8)/(3) = 2x-(2)/(3) x$

$(-8)/(3) = (4)/(3) x$

Now, Solve for x by multiplying both sides of the equation by the reciprocal of $(4)/(3)$ , which is $(3)/(4)$ :

$(-8)/(3) * (3)/(4)= (4x)/(3) * (3)/(4)$

$x= (-8)/(4)$

Simplify further:

$x = -2$

The solution of the equation $(2)/(3)(x - 4) = 2x$ is $x = -2$ .

Learn more about Simplification here:

brainly.com/question/24140794

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What is the domain of y = cos θ?A. [-1, 1]
B. [0, infinity]
C. All real numbers
D. 2pi,

Answers

Answer:

Option C - All real numbers

Step-by-step explanation:

Given : Function $y=\cos \theta$

To find : The domain of given function ?

Solution :

Domain is defined as the set of values for which function is defined.

We have given the function,

$y=\cos \theta$

We know, for any value of $\theta$ the function $y=\cos \theta$ is defined.

Which means the set of all real numbers defined the given function i.e. $x\in(-\infty,\infty)$

Therefore, Option C is correct.

The domain of $y=\cos \theta$ is all real numbers.

The domain of y = cos θ is all real numbers. This is because any real number can be plugged in for θ and y will be equal to a real number. This can be shown graphically because the y = cos θ will go on infinitely both to the right and left.

What is the sum of the first 14 terms of the sequence -11+(-18)+(-25)+(-32)...-791
-483
-102
-714

Answers

the difference between -11 and -18 is -7
the difference between -18 and -25 is -7
the difference between -25 and -32 is -7

therefore we can say that the difference between all of the terms will be -7.

the first term is -11 -> call this a
the difference is -7 -> call this d
the number of terms is 14 -> call this n

use the equation (sum of) $_(n)$ = $(n)/(2)$ (2a + (n-1)d)

(sum of) $_(n)$ = $(14)/(2)$ (2 x -11 + (14-1)-7)

= -7(-22 + (13 x -7))
= -7(-22 + -91)
= -7(-111)
= 777

With two coins, what is the probability of both coins landing on tails?

Answers

1 out of 4 I'm pretty sure

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