Jocelyn owns a food truck that sells tacos and burritos. She only has enough supplies to make 150 tacos or burritos. She sells each taco for $4 and each burrito for $6.50. Jocelyn must sell at least $780 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.

Answer:

We know that:

Price of a taco = $4

Price of a burrito = $6.50

x = number of tacos sold

y = number of burritos sold.

We must have that:

x + y ≤ 150  (Because she only has supplies to make 150 tacos or burritos, but she can sell less than that)

And also we know that she must sell at least $780, then:

x*$4 + y*$6.50 ≥ $780

Now we found the system of inequalities:

x + y ≤ 150

x*$4 + y*$6.50 ≥ $780

To solve it graphically, we just need to find each one of the region solutions for each equation, and the intersection of these regions will be the solution for the system.

To graph them may be easier to write them as lines, you can do it as follows:

y ≤ 150 - x

y ≥ ($780 - x*$4)/$6.50

in the first equation, we will shade the area below the line, and in the second equation, we will shade the area above the line.

You can see the image below.

Where the accepted solutions are the ones in the darker part, and we only restrict this to positive values of x (because of how we defined the variable x)

Then looking at the image, we can see that one solution can be the point

x = 20, y = 120

which two estimates is the quotient 345 dived 8 between

If you're very smart at math, pls help me.

HELP ILL GIVE YOU 50 POINTS IF SOMEONE HELPS ME What is the total area of the figure below?
28 ft
4 ft 6 ft
14 ft
2 11
A. 47 ft2
B. 52 ft2
C. 168 ft2
D. 402 ft2

Which of the following pairs of points are on the same horizontal line?

A(–2, –2) and (2, 2)
B(–2, 2) and (–2, –2)
C(–2, –2) and (2, –2)
D(2, –2) and (2, 2)

Which of the following represent an exponential growth function?

The first equation in the system of equations that models this situation is x+y=70, where x represents the number of 2-point questions the number of 4-point questions. What is the other equation in the system? Enter the correct answer in the box. Substitute numerical values in the expression for A, B, and C.

write an equation for the line that passes through the given points (-2,9) And (1 ,-3)​

jasmine ran for 98.4 minutes troughout her she ran at a pace of 8.2 minutes per mile how many miles did jasmine run

Choose the correct answer and rationale. “The prices listed on retail websites...”
a.
...are open to negotiation, because you can email the company.
b.
...are reliable, because you have proof of the advertised price.
c.
...are unreliable, because internet commerce does not have the same regulations as normal commerce.
d.
...are often below the total cost, because they usually do not include shipping charges.

if you are sitting in a room with ten people and 39% of them leave how many people would be left?

The equation below describes a proportional relationship between x and y. What is the constant of proportionality? Y=4/7x

2x = 6

2

3

4

7

Thanks for the help!

What is the equation in standard form of the line that passes through the point (4, -3) and has a
slope of -1

Evaluate the expression -4x + 15y. If x = 5, and y =-2

Help need as quick as possible thanks :)

find the equation of the line that passes through the point (1,8) and is parallel to the line y=3x+6. write the equation using the​ slope-intercept form.

PLS HELP ASAP PLSSS IT DETECTS IF ITS RIGHT OR WRONG HELPPP

Solve the following equation for y.
23x+7y=-17

Which ordered pair is a solution of the equation?
y = -3x-4.

I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!


O’Barr charges $25 for customized shirts and $15 for customized mugs. It cost $80 to make x shirts and y mugs. Which equation represents this situation?


25x + 15y = 80

40yx = 80

15x + 25y = 80

15x + 80y = 25

A customer has a credit card that charges 18% simple interest every year. How much interest will the customer save
by paying off a credit card debt of $5,000 at the end of 1 year instead of at the end of 3 years?

help please!!!!!!!!!!!!!!!!!!!
Tammy must run more than 82 miles total to reach her fitness goals. She has already run 34 miles and runs 6 miles per day. Which of the following inequalities could be used to solve for x, the number of days Tammy needs to run to reach her fitness goals?
A.
6x > 34
B.
6x > 82
C.
6x - 34 > 82
D.
6x + 34 > 82

please help me show work will give brainlest ​

A rate in which the second quantity in the comparison is one unitis known as a ______________________.

10 + 5 + 5 ( 10 + 10 )

The points (3, 0), (x,0) , (x, 1/x2) , and (3, 1/x2) are the vertices of a rectangle, where x≥3, as shown in the figure above. For what value of x does the rectangle have a maximum area?

Pleaseee help!

Marie was trying to show her friend why -3 × -8 equals a positive product. This is what she wrote:

-3 × 0 = 0
-3 × (?) = 0
-3(8) + -3(-8) = 0


-24 + 24 = 0

What should Marie write in place of the question mark?
A. 8 + 8
B. -8 + (-8)
C. 8 + (-8)
D. -8 + 0

HELPNSHSLAMWJS PLEASE I AM WASTING ALL MY POINTS

help me with this i dont really get it

Wyatt is a high school basketball player. In a particular game, he made some three point shots and some two point shots. Wyatt made a total of 12 shots altogether and scored a total of 32 points. Write a system of equations that could be used to determine the number of three point shots Wyatt made and the number of two point shots he made. Define the variables that you use to write the system.

Plz help convert and show work plz!
1) 60 miles per hour to feet per second
2) 2.40 Euros per kilogram to dollars per pound (1 euro =
o = $1.42)