A food scientist is developing a new recipe. He needs it to have between 3 and 5 teaspoons of sugar per serving and between 3 and 6 grams of fiber. Each teaspoon of sugar has 5 carbohydrates. Each gram of fiber counts as a carbohydrate when counting total carbohydrates. If the recipe already has 10 carbohydrates per serving from other sources, create a linear programming feasible region to minimize the total carbohydrates in the recipes nutrition profile.​

Answer:

[tex]x =[/tex] [tex]-30[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex] by simplifying both sides of the equation, then isolating the variable.

Answer:

The amount is $18548.38 and the interest is $2548.38

Steps for solution:

First you want to use the formula A=P(1+[tex]\frac{r}{n}[/tex])^n*t. A= total amount, P= principle or amount of money deposited, r= annual interest rate, n= number of times compounded per year. and t= time in years. In the problem we have P= $16000, r= 3%, n= 1 and t= 5 years. The first picture is the formula used to find the total amount. After we use the formula A=P+I, since A=18548.38 and P=16000. The second picture represents the interest after 5 years.

Answer:

37568444

hope this helps

Answer:

No pictures so can't help ya.

Answer:

Answer to the first part:  8a³b + 4ab

Step-by-step explanation:

Perimeter = distance around the three sides

P = 6a³b + 2a³b + 4ab

P = (6a³b + 2a³b) + 4ab           add like terms

P = 8a³b +4ab                          Simply

The value of the perimeter and area of the triangle are,

20.52 cm²  and 28.68 cm

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Now, By Using Pythagoras theorem to find the base of the triangle as;

a² = 6² - 3²

a ² =  27

a = √27

And, b² = 9² - 3²

b² =  72

b = √72

Hence, Base = √27 + √72

= 13.68

So, We get;

Area = 0.5 x 13.68 x 3

Area = 20.52 cm²  

And, The value of perimeter is,

Perimeter = 9 + 6 + 13.68

= 28.68

Thus, The value of the perimeter and area of the triangle are,

20.52 cm²  and 28.68 cm

Learn more about the triangle visit;

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Answer:

142%

Step-by-step explanation:

1.42 multiply by 100%? not quite sure

Explanation:

A solution is where the lines intersect. Graph A shows exactly one solution, and it is at (-2,2)

Graph B doesn't have any solutions since the lines are parallel, and parallel lines never intersect. We consider this system to be inconsistent.

Graph C has infinitely many solutions. The two lines perfectly overlap, meaning there are infinitely many intersection points. All solutions here are of the form (x,y) = (x,2x-1)

Answer:

are there any equations for this possibly? and if not it is just a smaller scale version of the dilated trapezoid.

Answer:

875 books

Step-by-step explanation:

1st machine 700 books/40 hours = 17.5 books/hr

2nd machine printed 2x or 35 books/hr

25 hours x 35 books/hr = 875 books

Answer:

A?

Step-by-step explanation:

Answer:

=2x+4

Step-by-step explanation:

Let's simplify step-by-step.

5x+4−3x

=5x+4+−3x

Combine Like Terms:

=5x+4+−3x

=(5x+−3x)+(4)

=2x+4

Answer:

2x+4

Step-by-step explanation:

Hope fully it is correct

Answer:

net income = (cost of goods sold) - (net sales) - (operating expenses)

Step-by-step explanation:

because income is based on sales, thus the cost of how much you got  minus all the expenses must be the net income.

Answer:

x=3

Step-by-step explanation:

y = mx + b

m = (y2 - y1)/(x2 - x1)

m = (8+4)/(3-3) = 12/0 = UD

x = 3

Answer:

$4.61

Step-by-step explanation:

To calculate a tip of 20%, you would perform the following:

$92.18 * 0.20 = $18.436

Similarly, for a tip of 15%:

$92.18 * 0.15 = $13.827

The difference would just be subtracting the two tip amounts from each other!

$18.436 - $13.827 = $4.609

Then you round to the nearest cent.

$4.609 ≈ $4.61

Answer:

3)x=-9

4)x=-2

5)x=-4

6)x=-5

7)x=-12

8)x=-11

Step-by-step explanation:

Answer:

(1+2V3)^2=13+4V3

<=> 1 +4V3 +12 = 13+4V3

<=> 1 +12 = 13

<=> 13=13

sorry if i wrong :(

Answer:

I believe a is -14

Step-by-step explanation:

its -14 because if it is in the exact same spot below water, think of the water as point 0. the bird is 14 and the fish is -14. Hope this helped

Answer:

38 samples an hour, next time taken the first two numbers in the table and divide the one on the right by the one on the left

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x To find the y-intercept, substitute in  0  for  x and solve for  y .

x-intercept(s):  ( − 6 , 0 )

y-intercept(s):  ( 0 , − 3 )

Use the slope-intercept form  y = m x + b to find the slope  m .

Slope: [tex]m = -\frac{1}{2}[/tex]

Graph in pic

(Credits: Symbolab)

Answer:

pls help

Step-by-step explanation:

Answer:

the magnitude of the vector is 11.40

9514 1404 393

Answer:

  (a)  -4

Step-by-step explanation:

The picture is fuzzy, but perhaps you want to evaluate ...

  [tex]-1\left|\dfrac{2}{3}-4\right|\div\dfrac{5}{6}=-1\left|-\dfrac{10}{3}\right|\div\dfrac{5}{6}\\\\=-\dfrac{10}{3}\div\dfrac{5}{6}=-\dfrac{20}{6}\div\dfrac{5}{6}=-\dfrac{20}{5}=\boxed{-4}[/tex]

Answer:

5.4 units

Step-by-step explanation:

5x + 2y - 4 = 0 and (15, - 21)

d = |(A*Px)+(B*Py)+C| / (sqrt A^ + B^2)

A=5, B=2, C= - 4 and Px=15, Py= -21

d =|(5*15)+(2*-21)+ -4| / (5^2 + 2^2)

= |75-42-4| / sqrt 29

= 29/sqrt 29 = 5.4

Answer:

The answer is 100$ worth of lemonades

Step-by-step explanation:

Because 200$ are made with the tacos and lemonade so if the profit is 100 then you divide 100 by 2, so 50+50= 100.

Answer:

Dylan is playing anywhere from 3.5 hours to 9.5 hours of electronic games on week days.

Step-by-step explanation:

(least estimated amount of hours played each week) 13-9.5=3.5

(highest estimated amount of hours played each week)19-9.5=9.5

If I helped you please let me know with a thank you, rating or brainly

<3Miss Hawaii<3

Answer:

=1/2*9*4.2

=18.9square cm

Answer:

Perimeter: 6 + 7.5 + 9 = 22.5

area: 18.9

Step-by-step explanation: