Gabriella and her children went into a restaurant where they sell hotdogs for $4 each and tacos for $2 each. Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether. Also, she must buy no less than 2 hotdogs. If xx represents the number of hotdogs purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer 1

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Let x represents the number of hotdogs purchased and y represents the number of tacos purchased.

Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether.

Hence:

4x + 2y ≤ 30    (1)

x + y ≥ 9      (2)

Also:

x ≥ 2   (3)

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Find out more on inequality at: https://brainly.com/question/241541


Related Questions

Which ordered pair is a solution of the equation?
y + x = 3(x – 4)

Answers

x=1/2 y+6 . Hope it helps.

i need help on this- It says on the top Which Division equation IS represented by the drawing below-°

Answers

Answer:

D im pretty sure

Step-by-step explanation:

If each line is 20 x 3 = 60 12 dots 60 + 12 = 72 divided by 3 circles = 24

Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown.

StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction. StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4. x = StartFraction 144 over 16 EndFraction. X = 9.

What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4?
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality

Answers

Answer:

  (c)  multiplication property of equality

Step-by-step explanation:

Both sides of the equation can be multiplied by the same number without changing the values of any variables. This is the multiplication property of equality.

A gold chain with an original price of $150 is on sale for $87 what is the percent of the discount

Answers

Answer:

i believe its 58%

Step-by-step explanation:

A planet has a circular orbit around a star. It is a distance of 65,000,000 km from the centre of the star. It orbits at an average speed of 65,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.​

Answers

Answer:

42

Step-by-step explanation:

65000000/65000=1000

24hrs=1 day

1000/24=125/3

125/3 times 1000= 42

solve similar triangles (advanced)

Answers

Step-by-step explanation:

similar triangles mean that all angles are the same, and the side lengths of one triangle correlate to the corresponding sides of the other triangle by the same factor.

that means that the sides 2 (ED) and x (CB) have the same relation as the 6+4 (AD) and the 6 (AB) sides.

so,

x/2 = 6/(6+4) = 6/10 = 3/5

x = 2 × 3/5 = 6/5 = 1.2

(02.02 LC)
If g(x) = x2 + 2, find g(3).
O9
O8
O 11
O6

Answers

Answer:

8

Step-by-step explanation:

g(x) = 2x + 2

g(3) = 2*3 + 2             Substitute 3 for x.

g(3) = 6 + 2                 Multiply.

g(3) = 8                       Add.

Answer:

g(3) = 11

Step-by-step explanation:

Substitute x = 3 into g(x) , that is

g(3) = 3² + 2 = 9 + 2 = 11

PLEASE HELP MEH!!!!!!!!!!!!!

Answers

Answer:

A) 15+ (-13) + (-2) = 0

Step-by-step explanation:

we start off with 15 cupcakes in total. Our number of cupcakes decreases when we give 13 to our friends. 15-13=2 so we have 2 cupcakes left. If we then give the remaining 2 cupcakes to our teachers, then we are left with 0 cupcakes.

The way to express this as an equation is 15 - 13 - 2 = 0 , which is equivalent to 15+(-13)+(-2)=0

Answer:

The first option.

Step-by-step explanation:

She originally has 15 cupcakes, if she gives 13 away to her friends and 2 away to her teacher then she would end up with 0, which rules out two options, but the second down would be someone giving her cupcakes, due to the addition symbol, so it's the first option.

Hope this helps and have a good day!:)

please please help!! it’s geometry and im struggling really badly

Answers

Answer:

10. SAS

11. SAS

12. SAS

13. SSS

14. SSS

15.ASA

Step-by-step explanation:

13: SSS 14 : SSS 15:ASA

Tell which line contains each point for triangle ABC.
the circumcenter
the orthocenter
the centroid
the incenter

Answers

5. The line that contains the circumcenter in ΔABC is: line k.

6. The line that contains the orthocenter in ΔABC is: line m.

7. The line that contains the centroid in ΔABC is: line l.

8. The line that contains the centroid in ΔABC is: line n.

What is the Circumcenter of Triangle?

Circumcenter is the point where all three perpendicular bisectors of the three sides of a triangle meet and they are of equal distance from the three vertices of the triangle.

The line that contains the circumcenter in ΔABC is: line k.

What is the Orthocenter of a Triangle?

Orthocenter is the point in a triangle where the three altitudes that are perpendicular to the opposite sides and connect with the vertices of the triangle intersect.

The line that contains the orthocenter in ΔABC is: line m.

What is the Centroid of a Triangle?

The centroid of a triangle is a the point of intersection where all three medians of a triangle. Medians of a triangle connects the vertices to the midpoints of the opposite sides of a triangle.

The line that contains the centroid in ΔABC is: line l.

What is the Incenter of a Triangle?

The incenter of a triangle is the point in a triangle where all three angle bisectors of the vertices of a triangle.

The line that contains the centroid in ΔABC is: line n.

Learn more about centers of a triangle on:

https://brainly.com/question/16045079

Which of the following could NOT
be represented by |-121?
A. A balloon rises 12 feet in the air.
B. The stock market gains $12 in a
day.
C. A town lies 12 feet below sea
level.
D. Adam received a gift for

Answers

Answer:

C

Step-by-step explanation:

|-12|= 12

this means that it represents a positive number. Each answer represents a positive number other than the town that lies -12 feet below sea level. (sorry if I'm wrong)

Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=4xâ’4y=â’4x 4 Select the correct answer from the drop-down menu.

Answers

The system of equations is consistent and dependent and it can be determined by using the properties of the equation.

Given that,

System of the equation,

[tex]\rm y=4x-4\\y=-4x+4[/tex]

We have to determine,

The system of equations is consistent and independent, consistent and dependent, or inconsistent.

According to the question,

When a system has at least one solution, it's called consistent. When it has only one solution, it's called independent.

System of the equation,

[tex]\rm y=4x-4\\y=-4x+4[/tex]

On adding both the equation,

[tex]\rm y+ y=4x-4+(-4x+4)\\\\2y = 4x-4-4x+4\\\\2y = 0\\\\ y = 0[/tex]

Substitute y = 0 to evaluate the value of x.

[tex]\rm y = 4x-4\\\\(0)= 4x-4\\\\ 4x=4\\\\ x = \dfrac{4}{4}\\\\x = -1[/tex]

The solution of the equation is (1, 0).

Hence, The system of equations is consistent and dependent.

To know more about the System of equations click the link given below.

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Please help peeps
Thanks

Answers

Answer:

B) 6

Step-by-step explanation:

If this is similar triangles:

x:42=6:42

Well you could also just

bigger triangle is isosceles

so x=6

Need help now pls on HS geometry

Answers

Answer:

see explanation

Step-by-step explanation:

The triangle segment is a median

A median goes from the vertex to the midpoint of the opposite side.

On each median the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint.

AC = 2 × FC = 2 × 35 = 70

BG = [tex]\frac{2}{3}[/tex] × BF = [tex]\frac{2}{3}[/tex] × 57 = 2 × 19 = 38

GC = 2 × DG = 2 × 14 = 28

AE = AG + GE = 42 + 21 = 63

Add the expression. (3x + 2) + (2x + 5) *​

Answers

Answer:

5x+7

Step-by-step explanation:

A 100-kg rock is on a 20-m cliff. If the rock is pushed off the cliff, how much kinetic energy does the rock have before hitting the ground?

Answers

Answer:

Step-by-step explanation:

19620 J.

This trapezium is drawn on a centimetre grid.
Find the area of the trapezium.

Answers

Answer:

A = 21 cm²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height between bases and b₁, b₂ are the parallel bases

Here h = 3, b₁ = 9, b₂ = 5 , then

A = [tex]\frac{1}{2}[/tex] × 3 × (9 + 5) = 1.5 × 14 = 21 cm²

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

Step-by-step explanation:

y = 4/3x

you can see the line passes through (0,0)

the next point it passes through is (3,4)

(y2-y1)/(x2-x1)

(4 - 0)/(3 - 0)

4 / 3

the slope = 4/3

meaning it goes up 4 and right 3 from point to point

what is the meaning of the word treacherous mean in the sentence below

QUICK plzzzz
i-ready lvl F

Answers

Answer: Guilty of or involving betrayal or deception.

Step-by-step explanation:

Mark has some candy bars that he wants to give away. He is going to give each person 28 of a bar, and he has 4 bars to give away. Determine the number of people who will get a piece of the candy bar.

helppppppp!!!!! 22 points!!!

Answers

Answer:

7 people

Step-by-step explanation:

just solved this easy question 2 + 2 × 2 + 2 ÷ 2=

Answers

Answer:

7 is the answer.

Pls mark brainliest.

The ordered pairs (−4,−3)
, (−2,−2), (4,1), (6,2), and (8,3) represent a function. What is a rule that represents this function?


Write an inequality for the following statement:



The difference between twice a number and 6 is at least 35.
6−2n≥35
2n−6≥35
2n−6≤35
6−2n<35

The formula below represents the standard form of a quadratic equation.

ax2+bx+c=0
Solve for b.

b=−ax2−cx
x=−ax2−c
x=−ax2−cb
b=x−ax2−c

The tables below each follow a different pattern

Which table follows the input-output rule: “Each output is one less than double the input”
table 2
table 4
table 1
table 3
Which inequality accurately represents the graph shown below?

Jordan has a part-time job which pays $75 a week. He has already saved $55 toward the purchase of a $400 iPhone. Write an inequality you could use to find the minimum number of weeks Jordan must work to have enough money to buy the iPhone.
55w+75≥400
75w+55≤400
55w+75≤400
75w+55≥400

Answers

The equations and inequality expresses the relationship between the variables.

The correct responses are;

First part; The rule that represent the function is; y = 0.5·x - 1Second part; the correct option is the inequality; 2·n - 6 ≥ 35Third part; [tex]\displaystyle \underline{b = \frac{- a\cdot x^2 - c}{x}}[/tex]Fourth part; Table 4Fifth part; [tex]\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}[/tex]Sixth part; 75·w + 55 ≤ 400

Reasons:

First part;

The difference between y-values following a change in 2 units of the x-value is a constant, and is equal to 1;

The rate of change of the function, m, is therefore;

[tex]\displaystyle m = \frac{2 - 1}{6 - 4} = \frac{1}{2} = 0.5[/tex]

The slope and intercept form of the equation of the function is therefore;

y - 3 = 0.5·(x - 8) = 0.5·x - 4

y = 0.5·x - 4 + 3 = 0.5·x - 1

The rule that represent the function is; y = 0.5·x - 1

Second part;

2·n represent twice the number

The difference between twice the number and 6 = 2·n - 6

At least 35 = ≥ 35

Therefore, the inequality is; 2·n - 6 ≥ 35

Third part;

The given quadratic equation is; a·x² + b·x + c = 0

Therefore;

[tex]\displaystyle \underline{b = \frac{-c - a\cdot x^2}{x}}[/tex]

Fourth part;

The best correct option is table 4, given that the table is as follows;

[tex]\begin{tabular}{|c|cc|}In&&Out\\Not clear&&\\9&&17\\10&&19\end{array}\right][/tex]

Fifth part;

The y-intercept of the graph is -0.5

The slope is -4 ÷ 8 = -0.5

Therefore, the equation is; y = -0.5·x - 4

The shaded area is the area lower than the y-values, with broken lines (indicating < relationship) which gives, the correct inequality as follows;

[tex]\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}[/tex]

Sixth part;

The amount Jordan part-time job pays = $75

The amount he has already saved = $55

The cost of the iPhone = $400

Let w represent the number of weeks Jordan works, at his part-time job to purchase the iPhone, we have;

75·w + 55 ≤ 400

Learn more about writing equations and inequalities here:

https://brainly.com/question/14321394

hi i need some help on this one thanks.

Answers

Answer:

y = 3x + 18

Here's how I got that:

- You first assign the points -

     (-9, -9) → x1 = -9, y1 = -9

     (-6, 0) → x2 = -6, y2 = 0

- Now you plug those points into slope formula and solve-

                          [tex]s=\frac{y2-y1}{x2-x1}[/tex]

                                   

                       (0 - (-9))/((-6) - (-9))

                                   ↓

                                  9/3

                                   ↓

                           slope = 3

- Now we plug the numbers we got into intercept formula -

                            b = y1 − s ⋅ x1

                                      ↓

                             -9 - (3) · (-9)

                                      ↓

                           y-intercept = 18

           - Put everything together and you get.. -

                                 y = 3x + 18

~That's all folks~

-Siascon

Answer:

y = 3x + 18

Step-by-step explanation:

Toya has a car loan of $8500. Over the course of the loan, she paid a total of $5526 in interest at a rate of 13%. How many months was the car loan?

Answers

Answer:

42 months

Step-by-step explanation:

Hi guys, I need some help with this. Look at the screenshot below.

Answers

Answer:

20%

Step-by-step explanation:

54-45 = 9

9/45 = 0.2

0.2*100 = 20

Production increased 20%

What is the equation of the line that has a slope of 1/5 and a y-intercept of -1

A y = 1/5x — 23/5

B y = 1/5x — 1

C y = 1/5x + 1

D y = 1/5x + 23/5

Answers

Answer:

C   y = 1/5x - 1

Step-by-step explanation:

Slope intercept form: y = mx + b where m = slope and b = y-intercept.

Substitute into the slope intercept form m= 1/5 and b = -1

y = 1/5x - 1

A class has 6 boys and 14 girls. What is the ratio in simplest form that compares number of boys to total number of students?
A. 6:14
B. 6:20
C. 3:7
D. 3:10

Answers

C) 3:7
hope this is helpful!

Factor the polynomial expression 8x^3+1

Answers

[tex] {8x}^{3} + 1 \\ = {(2x)}^{3} + {(1)}^{3} \\ = (2x + 1)( {(2x)}^{2} - 2x \times 1 + {(1)}^{2}) \\ = (2x + 1)( {4x}^{2} - 2x + 1)[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

If Kenny attempted 36 serves yesterday, how many serves did he make over the net?

Answers

top diagram :) it’s a 7:2 ratio

The m<1 is 18 more than twice m<2. Find m<3.
See picture for full problem. Please and thank you!

Answers

Answer:  126 degrees

====================================================

Explanation

x = measure of angle 1

y = measure of angle 2

x = 2y+18, since angle 1 is 18 more than twice that of angle 2

Assuming this is a parallelogram, the adjacent angles are supplementary. So,

x+y = 180

2y+18+y = 180

3y+18 = 180

3y = 180-18

3y = 162

y = 162/3

y = 54

This leads to,

x = 2y+18

x = 2*54+18

x = 108+18

x = 126

Note that x+y = 126+54 = 180

Another useful fact about parallelograms is that the opposite angles are the same measure. So angle 1 = angle 3 = 126 degrees

The measure of angle 3, if The measure of ∠1 is 18 more than twice the measure of ∠2 is 126°

What is polygon?

In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).

Given:

The measure of angle 1 = 2 × The measure of the angle 2 + 18

Write an equation for the above statement,

x = 2y + 18

Here, x is a measure of angle 1 and y is the measure of angle 2,

As you can see from the figure it is a parallelogram then,

x + y = 180  (The sum of supplementary angle)

Solve the equation by elimination method,

y = 54, x = 2 × 54 + 18 = 126

The opposite angle of a parallelogram are equal,

Measure of angle 3 = Measure of angle 1 = 126

To know more about polygons:

https://brainly.com/question/10441863

#SPJ2

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