Write and solve a system of THREE inequalities that models the situation below. Terrence is going to make and sell cupcakes and giant cookies as a fundraiser to earn money for his bank uniform. He sells the cupcakes for $1.25 each and the cookies for $0.75. He knows he will sell at least 10 cupcakes and 24 cookies. He wants to make at least $50. Find a possible combination of cupcakes and cookies he needs to sell to meet his goal.

perimeter of the rectangle = 2 ( l + b )

4x + 10 = 40

4x = 40 10 ( transpose 10 to RHS )

x = 30/4 = 7.5 ( divide both sides by 4 )

ATQ

[tex]\\ \sf\longmapsto 2(x+x+5)=40[/tex]

[tex]\\ \sf\longmapsto 2(2x+5)=40[/tex]

[tex]\\ \sf\longmapsto 2x+5=20[/tex]

[tex]\\ \sf\longmapsto 2x=15[/tex]

[tex]\\ \sf\longmapsto x=7.5[/tex]

Answer:

The greatest number of arrangements possible would be 5

Step-by-step explanation:

If we look at the x values (in this case # of tulips remaining) we can find the number 20. And we see that there is a line going through it. We then stop at the point and go down to see what number it would fall on on the y axis.

Answer:

  (x, y) = (3/7, 1/7) or (3, 4)

Step-by-step explanation:

The second equation can be rearranged to ...

  4x^2 +9y^2 = 15xy . . . . . . multiply by xy

  4x^2 -15xy +9y^2 = 0 . . . subtract 15xy

  (4x -3y)(x -3y) = 0 . . . . . . factor

This resolves to two linear equations:

 4x -3y = 0

  x -3y = 0

__

Combined with the first equation, we get two systems of equations. We can solve both of them at once by substituting for y and using a stand-in for the coefficient of x.

  y = (3x -1)/2 . . . . first equation solved for y

  Cx -3(3x -1)/2) = 0 . . . . substitute for y in the 2nd/3rd equations (C = 1 or 4)

  2Cx -9x +3 = 0 . . . . . multiply by 2

  x(2C -9) = -3 . . . . . . .subtract 3

  x = -3/(2C -9) = 3/(9 -2C) . . . . . remembering that C = 1 or 4

__

For C=1, x = 3/(9 -2) = 3/7

  y = (3(3/7) -1)/2 = 1/7

For C=4, x = 3/(9 -8) = 3

  y = (3(3) -1)/2 = 4

The solutions are (x, y) = (3/7, 1/7) and (3, 4).

_____

Additional comment

We could have substituted for y in the quadratic form of the second equation. This would give a quadratic in x that could be solved in any of the usual ways.

Answer:

x² - 3

This expression is not linear

Step-by-step explanation:

Let x = unknown number

The sum of a number and negative 3

Sum = addition

We are adding the unknown number "x" and -3

So we have x + (-3) or just x - 3

The sum of that is multiplied by the unknown number

So we get ( x - 3 ) x

We can then simplify this expression to get  x² - 3x

Any expression with an exponent is not linear. Refer to the attached image for more validation. A linear expression would create a straight line. The expression x² - 3x creates a curved line

Answer:

117 square inches

Step-by-step explanation:

234/2

Answer:

A = 117 in²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 18 and h = 13 , then

A = [tex]\frac{1}{2}[/tex] × 18 × 13 = 9 × 13 = 117 in²

The fraction of the time given in a day is 1/288

Given the following parameters

We are to get the fraction of this time in a day.

Convert 1 day to minute

Fraction = 5/1440

Fraction = 1/288

Hence the fraction of the time given in a day is 1/288

Learn more on fractions here: https://brainly.com/question/78672

Answer:

here is your answer

Step-by-step explanation:

option d.)5³/3³

Answer:

  (40, 6000) = 6000 sheets folded in 40 minutes

Step-by-step explanation:

Each point on the graph represents ...

  (minutes, sheets folded)

The point (40, 6000) represents that the machine can produce 6000 sheets folded in 40 minutes.

Answer:

(16+25)×47

Step-by-step explanation:

..........

Answer:

x=77

Step-by-step explanation:

x-15 = 62

x = 62 + 15

x = 77

x=77. I hope this helps.

Answer:

Hi It is A I just got it right

trust me

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:1/10

Step-by-step explanation:

Start by multiplying 1/100 by 1/10

The answer will be 1/1000

Answer:    The final balance is $412.03.

The total compound interest is $52.03.

Step-by-step explanation:

Answer:

god help you

Step-by-step explanation:

i think we should add all the ratio together.......

Answer:

[tex]\huge\boxed{\sf p = 48\°}[/tex]

Step-by-step explanation:

Since, interior angles of a triangle add up to 180 degrees.

So,

S + Q + R = 180°

S + 44 + 40 = 180

S + 84 = 180

Subtract 84 to both sides

S = 180 - 84

S = 96°

Since S is divided into two p angles because ST is an angle bisector (dividing the angle into two "equal" parts)

So,

S =  p + p

S = 2p

96 = 2p

Divide both sides by 2

48 = p

OR

p = 48°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

8

Those little "sticks" are called absolute value.

For example, the absolute value of 2 is 2, and the absolute value of −2 is also 2. The absolute value of a number may be thought of as its distance from zero along real number line.

Thus, it doesn't matter if the number is positive or negative. As it only counts its distance from 0, on the number line.

I hope it helps.

Answer: Neither A or B

Step-by-step explanation: In order for a relation to be a function, a relation can not have the x-values repeat. Y-values can repeat an infinite amount of times but x-values can only repeat 1 time in a given relation. In relation A, you have (2,-2), and (2,3) and relation B, you have (9,3), and (9,-3). You can also graph both of these relations and do a vertical line test with your pencil and see that it would cross more than once.

Hope this helps.

Answer:

Neither A nor B

Step-by-step explanation:

A function is a relation that has a unique x value for every y value. This means that the x-values will never repeat. So, to figure out if a list of coordinates is a function check the x-values. If they never repeat, then it is a function. However, in the case of both A and B, the x-values repeat. For, relation A the value 2 repeats, and for relation B the 9 value repeats. Therefore, neither are functions.

Answer:

4.8 $

Step-by-step explanation:

5 cans = 3 $

then:

1 can  = 0.6 $ because 0.6*5 = 3

Now 0.6*8 cans = 4.8 $

Answer:

  $4.80

Step-by-step explanation:

The cost will be proportional to the number of cans. If the number of cans goes up by a factor of 8/5, so does the cost.

  cost of 8 = (8/5)($3.00) = $4.80

Answer:  Area = 6.64966

Step-by-step explanation:

The correct option is B. Distributive property

Given,

[tex]\frac{2}{3} x+7=-5\\[/tex]

On solving the above equation,

multiplying both sides by 3 we, get

[tex]2x+21=-15[/tex]

now subtracting 21 from both the sides,

[tex]2x=-36\\[/tex]

dividing both the sides by 2 we get,

[tex]x=-18[/tex]

Since in the above steps we follow all the giving property except the distributive property.

Hence the correct option is B. Distributive property.

For more details follow the link:

https://brainly.com/question/13130806

Answer:

5.94 and -9.94

Explanation:

Use complete the square to answer the question and then type the last line into a calculator to get 5.94 and -9.94

Answer:

Sous vide is the process of sealing some kind of protein in an airtight “vacuum” container and then submerging it in the water at a specific temperature. By sealing them up and dropping them in a large pot of water to cook, there is no fire, no heated metal, no steam, and no smoke. And oddly enough, the water never even comes to a full boil—it just rests at the exact temperature the protein needs to reach for “doneness.” It takes a little longer than some other methods, and it guarantees to never overcook the protein, which can be particularly wonderful if you like your steak with just that perfect amount of pinkness. Sous vide machines used to be specialized equipment for fancy restaurants, but not anymore. These days, a lot of home cooks use small, affordable pots with the exact same cooking power. If you’re having friends over for dinner, sous vide makes pre-party prep a whole lot easier, plus sealed proteins can be kept in the fridge for at least one week. It also guarantees you will never overcook that $30 filet mignon again or stand over a hot stove when you’d rather be doing something else. And because the slowness of sous vide method allows fibers within the protein to contract more slowly, the meat stays juicier.

Step-by-step explanation: Hope this helps

Answer:

$128 a day

Step-by-step explanation:

if she works 8 hours a day/ aka full time then its different from what she earns half time/4 hours, most likely she's working fulltime so ure answer would be $128 a day

(I would be happy if u marked me brainiest) thank you

Answer:

-0.675

Step-by-step explanation:

A fraction is another way of writing a division problem. So to figure this out, simply divide -27 by 40

Answer:

-23

Step-by-step explanation:

(t-8) - (t + 15)

t - 8 - t - 15

-8 - 15

-23

Answer:

32.5 and 30

Step-by-step explanation:

I counted the unit squares one by one.

Hope this helped! :)