Emma and her children went into a restaurant where they sell hotdogs for $4 each and drinks for $1.50 each. Emma has $30 to spend and must buy no less than 9 hotdogs and drinks altogether. If xx represents the number of hotdogs purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answer:

6 hotdogs and 4 drinks

Step-by-step explanation:

4x + 1.50y = 30

For questions like this, you can do the equation that represents the price of the products first.

x + y  [tex]\geq[/tex] 9

After that, you can write the equation that represents the quantities.

Now, you just have to graph it to find the solution. When you're graphing, make sure that y is alone on one side. Here's how you rearrange the equations:

The first equation:

4x + 1.50y =30

*Subtract 4x from both sides, which leads to:

1.50 y = -4x + 30

*Divide by 1.50 on both sides, which leads to:

y = -2.66x + 20

The second equation:

x + y  [tex]\geq[/tex] 9

*Subtract x from both sides, which leads to:

y  [tex]\geq[/tex] -1x + 9

Now, use any graphing calculator (I prefer Desmos) to graph these two equations. In fact, you can just graph it on paper, too.

Here is the graph: (it is attached as a file)

You can look for any points that are on the red line but are also shaded blue. Make sure you look only in Quadrant 1- don't go into the negatives! One good point to choose would be (6,4)- this means that you buy 6 hotdogs and 4 drinks.

Answer:

[tex]y\geq 9-x[/tex] shaded up

[tex]y\leq 20-\frac{8}{3} x\\[/tex] shaded down

4 hotdogs, 8 drinks

Step-by-step explanation:

Work out the multiplier as a decimal number for an increase of 5% followed by an increase of 3%

Write 4% as a fraction. There is no need to simplify, your answer.

A stand at a farmer's market sells three different types of apples. The table below shows the cost and weight of the apples.

what is the smallest six-digit number you can make that is divisible by five ​

A company makes 100 bags. 32 of the bags have buttons but no zips. 32 of the bags have zips but no buttons. 35 of the bags have neither zips nor buttons. How many bags have zips on them?

Help please geometry 10 points

No cappin need help thx

Translate this phrase into an algebraic expression.
10 more than twice a number
Use the variable n to represent the unknown number.

0.142857143 as a fraction

Which set could represent P?

Which ordered pair would form a proportional relationship with the point graphed below?
100 iv
90
8 8 8 8 8 8 3 8
45, 30)
10 20 30 40 50 60 70 80 90
X
(10. 10)
(25, 35)
(70.50
(90.60)

A shirt is regularly priced at 42$. It is on sale for 15% off of the regular price. What is the sale price of the shirt ?

A triangle has side length of 2x, 3x-1, 4x +8 find the expression for the perimeter​

A video game has the following formula: For every 1,333 in attack power, you gain 3 levels. You get one bonus star per every 38 levels completed. If a player has an attack power of 0.21 million, how many bonus stars could they get? Round to a whole number.

WILL GIVE BRAINLIEST FOR EXPLANATION!!!!!! AND ANSWER!
How does the graph of g(x) = −(x + 3)4 compare to the parent function of f(x) = x4?

1, 2 after a reflection y = 0 followed by a reflection y = 2

To make rice, you mix 1.5 cups of water for every 1 cup of dry rice. This will make 2 servings. How many cups of dry rice and how many cups of water will you need to serve 10 people?

A soccer ball kicked from the ground with an initial velocity of 32 ft/s is given by the function When is the soccer ball moving through the air? {t | –2 < t < 2} {t | –4 < t < 4} {t | 0 < t < 2} {t | 0 < t < 4}

ASAP help me please!!!!!!!!!

David earns a 4% commission for all the furniture he sells if David receives 7500 in commission this year what is the dollar amount of his sales

Find the sum of the interior angle measures of a regular polygon
with 17 sides

2. The velocity of an object in motion is given by the function y(t)=-78.4t + 288 where vt is the velocity of the object in meters per second at time t.

B. After how many seconds does the object momentarily come to rest and then change directions?​

transformation mystery picture​

Write the number to least to greatest

30 POINTS please help I really need help :(((((((
During photosynthesis, plants take in carbon dioxide causing its concentration in the atmosphere to ___________.
a) increase
b) decrease

If more airplanes and cars are used (both of which burn fossil fuels), carbon levels will increase.

Group of answer choices

True

False

Which of these can help you become a better test-taker?
A. Knowing that there are different strategies for different types of
tests
B. Being able to skim through large amounts of reading
c. Understanding how to use an outline to take organized notes
D. Taking tests only during the time of day when your mind is most
active

what is the answer ​

I need some help graphing this

Please help last question

we have 60,30,9,42- ?​