Which statements are true about the ordered pair (-1,-4) and the system of equations? x-y=3 and 7x-y=-3

Answers

Answer 1

Answer:

when (-1, -4) is substituted into the first equation it's true

when (-1, -4) is substituted into the second equation it's true

the ordered pair (-1, -4) is a solution to the systems of equation

Step-by-step explanation:

original equation

x-y=3

multiply both sides by 7

7x-7y = 21

add 7y to both sides

7x=7y + 21

substitute into second equation

(7y+21)-y=-3

simplify

6y+21=-3

subtract 21 from both sides

6y=-24

y=-4

substitute y into original equation

x-(-4) = 3

cancel out negative signs

x+4=3

subtract -4 from both sides

x=-1


Related Questions

Round 7,485 to the nearest hundred.

Answers

You would round 485 up to 500 and then add the 7,000 back on to get 7,500

Answer:

7,500

Step-by-step explanation:

When you round you automatically round up unless told otherwise
so find the hundredth, which is 485 and you round that to 500
then put the 7 back → 7,500

Find the critical point for f(x)=x^2-2x+4 and determine their nature.
Select one:
O a. (3, 1) minimum point
O b. (1, 3) minimum point
O c. (1, 3) maximum point
O d. (3, 1) maximum point

Answers

b. (1, 3 minimum poing

determining height from a shadow measuring 88 meter

Answers

Answer:

Height = 132 mt

Step-by-step explanation:

Shadow lengths are proportional to the height of the object.

So, multiply the length of the tree's shadow by your height.

If you are 5 feet (1.5 meters) tall, and the length of  shadow is 88 meters long,

Multiply them together: 1.5 x 88 = 132 mt.

Hence, Height = 132 mt.

Refer more on Brainly. com at below link:

https://brainly.com/question/3144976

#SPJ10

A sample of size 400 was drawn and sample mean was found t
be 99. Test whether this sample could have come from a normal
population with mean 100 and variance 64 at 5%
significance.

Answers

Answer:

etrf4f3dvef3rf3rfr2wrgwrf2rg3rf3rgerferferfef I'm

Enter the correct answer in the box.
Function g has the same a value as function f, but its vertex is 2 units below and 3 units to the left.
f(x) = x² - 4x - 32
Write the vertex form of the equation modeling function g.

Answers

The equation in the vertex form of g(x) is:

[tex]g(x) = (x + 1)^2 - 38[/tex]

How to get the equation of function g?

We know that g(x) is a translation of 2 units below and 3 units to the left of f(x).

So first, let's rewrite f(x) to its vertex form:

[tex]f(x) = x^2 - 4x - 32[/tex]

The vertex is at:

[tex]x = -(-4)/2*1 = 2[/tex]

The y-value of the vertex is:

[tex]f(2) = 2^2 - 4*2 - 32 = -36[/tex]

Then the vertex form of f(x) is:

[tex]f(x) = (x - 2)^2 - 36[/tex]

If we move this vertex 2 units below, and 3 units to the left, then we have:

[tex]g(x) = f(x +3) - 2\\\\g(x) = (x - 2 + 3)^2 - 36 - 2\\\\g(x) = (x + 1)^2 - 38[/tex]

That is the equation for g(x) in vertex form.

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

Math: Surface Area word problem..10 pts for your help!

Answers

The formula for the surface area N(t) of the balloon after t seconds is [tex]N(t) = \frac {64}9\pi t^2[/tex]

How to determine the surface area?

We have:

[tex]S(r) = 4\pi r^2[/tex]

Also, we have:

[tex]P(t) = \frac 43t[/tex]

The above can be rewritten as:

[tex]r = \frac 43t[/tex]

Substitute [tex]r = \frac 43t[/tex] in S(r) to determine the function N(t)

[tex]S(r) = 4\pi (\frac 43t)^2[/tex]

Express as N(t)

[tex]N(t) = 4\pi (\frac 43t)^2[/tex]

Expand the exponent

[tex]N(t) = 4\pi *\frac {16}9t^2[/tex]

Evaluate the product

[tex]N(t) = \frac {64}9\pi t^2[/tex]

Hence, the formula for the surface area N(t) of the balloon after t seconds is [tex]N(t) = \frac {64}9\pi t^2[/tex]

Read more about composite functions at:

https://brainly.com/question/10687170

#SPJ1

HELP ME PLEASE

13
25
Which expression represents the volume, in cubic units,
of the composite figure?
○ π(57)(13) —π (5²)(12)
○ π(5²)(13) — π (5²)(25)
○ ~(5²)(13) + = π (5²)(12)
○pi(5²)(13) + = π (5²³)(25)

Answers

Answer:

π(5²)(13)+⅓π(5²)(12)

Step-by-step explanation:

You can find the volume of the cylinder by:

V=πr²h

which is V1=π(5²)(13)

and the volume of the crooked cone by:

⅓πr²h

which is V2=⅓π(5²)(12)

and you need the volume of the whole shape. you can find by adding V1+V2

How do I solve for x?

Answers

Answer:

3

Step-by-step explanation:

1: Turn the mixed fraction into improper.

2: Multiply 3/5 to each side

3: The you get x = 3

You need to multiply the fraction instead of division because multiplying by the reciprocal is the same as dividing the normal fraction.

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{5 = 1\dfrac{2}{3}x}[/tex]

[tex]\mathsf{1\dfrac{2}{3}x = 5}[/tex]

[tex]\mathsf{\dfrac{1\times3 + 2}{3}x = 5}[/tex]

[tex]\mathsf{\dfrac{3 + 2}{3}x = 5}[/tex]

[tex]\mathsf{\dfrac{5}{3}x = 5}[/tex]

[tex]\large\textbf{MULTIPLY }\rm{\bf \dfrac{3}{5}}\large\textbf{ to BOTH SIDES}[/tex]

[tex]\mathsf{{\dfrac{3}{5}\times\dfrac{5}{3}x= \dfrac{3}{5}\times 5}}[/tex]

[tex]\large\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathsf{x = \dfrac{3}{5}\times5}[/tex]

[tex]\mathsf{x = \dfrac{3}{5}\times\dfrac{5}{1}}[/tex]

[tex]\mathsf{x = \dfrac{3\times5}{5\times1}}[/tex]

[tex]\mathsf{x = \dfrac{15}{5}}[/tex]

[tex]\mathsf{x = 15\div5}[/tex]

[tex]\mathsf{x = 3}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 3}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

answer the following function, algebra 1.

Answers

Answer:

g(f(x)) = 1x² + 1

Step-by-step explanation:

We are given:
f(x) = x² - 1

g(x) = x + 2

And we want to find g(f(x)).

To do this, we substitute f(x) as x in x+2 (the expression that is equal to g(x)), as g(f(x)) is saying that f(x) is the value of x in g(x).

So, this will be:

g(f(x)) = x² - 1 + 2

Simplify

g(f(x)) = x² + 1

In your system, place 1 in front of x² - this is the coefficient of x², and also 1 after that - this is a constant.

The volume of a can of Pepsi is 0.33liter. There are 12 cans in 1 carton
What is the volume of 5 cartons of Pepsi?

Answers

Answer:

19 liters 800 milliliters

Step-by-step explanation:

0.33 * 12 * 5 = 19.8 liters

A dragon flew 300 miles from his castle to visit a friend. Flying with the wind, his trip took 2 hours. His return trip against the wind took 3 hours. What was the speed of the wind and the speed of the dragon in still air?

Answers

The speed of the wind and the speed of the dragon in still air are respectively;  142.5 mph and 7.5 mph

How to calculate the speed?

The dragon flew 300 miles with the wind in two hours.

After flying against the wind for two hours, he had made 270 miles of the return trip.

Let s be the speed in still air

Let w be the speed of the wind

Thus;

(s - w) = effective speed against the wind

and

(s + w) = effective speed with the wind

We know that;

distance = time * effective speed

Thus;

2(s + w) = 300

2(s - w) = 270

This can be simplified to get;

s + w = 150   -----(1)

s - w = 135   -----(2)

Add both equations to get;

2s = 285

s = 285/2

s = 142.5 mph.

Then, plane speed in still air is;

142.5 + w = 150

w = 150 - 142.5

w = 7.5 mph is the speed of the wind

Read more about Speed of object at; https://brainly.com/question/6504879

#SPJ1

Find the formula for the area of the shaded region in the figure.
x² = 4py
ہے

Answers

The formula for the area of the shaded region in the figure.

x² = 4py is mathematically given as

[tex]A=\frac{8}{3} \sqrt{p h} \cdot h[/tex]

What is the formula for the area of the shaded region in the figure?

Parameters

[tex]$x^{2}=4 p y$[/tex]

[tex]$y=h$[/tex]

[tex]\therefore x^{2}=4 p h \Rightarrow x=2 \sqrt{p h} \\[/tex]

Generally, the equation for the Area is mathematically given as

[tex]& A=2 \int_{0}^{2 \sqrt{p h}}\left(h-\frac{x^{2}}{4 p}\right) d x \\\\& A=2\left(h x-\frac{x^{3}}{12 p}\right]_{0}^{2 \sqrt{p h}} \\\\& A=2\left[\left[h 2 \sqrt{p h}-\frac{1}{12 p} \cdot(2 \sqrt{p h})^{3}-0\right]\right. \\[/tex]

[tex]&A=2\left[2 h^{3 / 2} \sqrt{p}-\frac{8(\sqrt{p})^{3}(\sqrt{h})^{3}}{12 p}-0\right] \\\\&A=2\left[2 h^{k / 2} \sqrt{p}-\frac{2}{3} \sqrt{p} \cdot h^{3 / 2}\right] \\\\&A=2 \times \frac{4 \sqrt{p} \cdot h^{3 / 2}}{3} \\\\&A=\frac{8}{3} \cdot \sqrt{p} \cdot \sqrt{h} \cdot h \\\\&A=\frac{8}{3} \sqrt{p h} \cdot h[/tex]

[tex]A=\frac{8}{3} \sqrt{p h} \cdot h[/tex]

In conclusion,  the equation for the Area is

   

[tex]A=\frac{8}{3} \sqrt{p h} \cdot h[/tex]

Read more about Area

https://brainly.com/question/27683633

#SPJ1

Tan + Cos / 1 + Sin = Sec

Answers

[tex]\tan x+\frac{\cos x}{1+\sin x}\\\\ =\frac{\sin x}{\cos x}+\frac{\cos x}{1+\sin x}\\\\=\frac{\sin x(1+\sin x)+\cos^{2} x}{\cos x(1+\sin x)}\\\\=\frac{\sin^{2} x+\cos^{2} x+\sin x}{\cos x(1+\sin x)}\\\\=\frac{1+\sin x}{\cos x(1+\sin x)}\\\\=\frac{1}{\cos x}\\\\=\sec x[/tex]

the value of a savings account can be found using the equation 300(1.03)^24. the interest is compounded monthly.

the interest rate is _____ per year

a. 12%
b. 0.25%
c. 36%
d. 1.5%

Answers

The interest rate is 36% per year if the value of a savings account can be found using the equation 300(1.03)²⁴ option (c) is correct.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

We have:

The value of a savings account can be found using the equation =

= 300(1.03)²⁴

From the function:

F(x) = a(1+r)ˣ

On compare:

1 + r = 1.03

r = 0.03

or

r = 3% monthly

r = 3×12 = 36% yearly

Thus, the interest rate is 36% per year if the value of a savings account can be found using the equation 300(1.03)²⁴ option (c) is correct.

Learn more about the compound interest here:

brainly.com/question/26457073

#SPJ1

Which graph best represents the equation shown below? 3x + y = 2 A. B. C. D.

Answers

Answer:

The plots are (0,2) (1,-1)

Step-by-step explanation:

a slanted line starting from top left corner ending in the bottom right

For the regions bounded by y = 6cosx and y = one fourth x squared minus 7.

Part A: Find the limits of integration. (10 points)

Part B: Write the expression representing the total area. (10 points)

Part C: Solve for the total area. (10 points)

Answers

For the regions bounded by y = 6cosx and y = one-fourth x squared minus 7, the limits of integration, the expression representing the total area, and the total area are mathematically given as

A=27.03squnit

What are the limits of integration, the expression representing the total area, and the total area.?

Generally, the equation for expression is mathematically given as

y = 6cosx

y=(1/4)x^2-7

therefore

[tex]A=\int^{b}_a (f(x)-g(x))dx[/tex]

The limits are

a=0 b=2\pi

Hence

[tex]A=\int ^{2\pi}_0 (6cosx -((1/4)x^2-7))dx\\\\solving\\\\A=\int^{2\pi}_0 (6cosx -((1/4)x^2-7))dx[/tex]

A=27.03squnit

Read more about Arithmetic

https://brainly.com/question/22568180

#SPJ1

(08.01 MC)
Find the height of a square pyramid that has a volume of 75 cubic feet and a base length of 5 feet.

A. 5 feet
B. 9 feet
C. 25 feet
D. 45 feet

Answers

Answer:

A. 5 feet

Step-by-step explanation:

A. 5 feet
Aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

An investment company advertised that last year its clients, on average, made a profit of 10%. Assuming that average refers to
following claims must be true based on this information?
Note: More than one statement could be true. If none of the statements is true, mark the appropriate box.
Last year at least one of their clients made a profit of
exactly 10%.
Two years ago some of their clients made a profit of at least
10%.
Last year some of their clients made a profit of
0
10% or more.
O
O Last year all of their clients made a profit of more than 2%.
Last year, the number of their clients who made a profit of
10% or less was equal to the number of their clients who
made a profit of 10% or more.

Answers

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The statements that are true based on the information are:

1. Last year at least one of their clients made a profit of exactly 10%.

3. Last year some of their clients made a profit of 10% or more.

Options 1 and 3 are the correct answer.

We have,

1. Last year at least one of their clients made a profit of exactly 10%.

- True.

The investment company advertised that, on average, their clients made a profit of 10%.

This means there must be some clients who made exactly 10% profit.

2. Two years ago some of their clients made a profit of at least 10%.

Not enough information is given to determine the accuracy of this statement.

The information provided only refers to last year's profits, not profits from two years ago.

3. Last year some of their clients made a profit of 10% or more.

- True.

The average profit of the clients was 10%, indicating that some clients made a profit of 10% or more.

4. Last year all of their clients made a profit of more than 2%.

- Not necessarily true.

The average profit was 10%, but this does not guarantee that all clients made a profit greater than 2%.

Some clients might have made less than 2% or even incurred losses.

5. Last year, the number of their clients who made a profit of 10% or less was equal to the number of their clients who made a profit of 10% or more.

- Not enough information is given to determine the accuracy of this statement.

The average profit of 10% does not tell us about the distribution of profits among clients to make this comparison.

Thus,

The statements that are true based on the information are:

1. Last year at least one of their clients made a profit of exactly 10%.

3. Last year some of their clients made a profit of 10% or more.

Learn more about averages here:

https://brainly.com/question/23263573

#SPJ7

A triangle has two sides of lengths 4 and 15. What value could the length of
the third side be? Check all that apply.
A. 19
B. 11
C. 4
OD. 15
OE. 12
F. 13

Answers

The value could the length of the third side will be 11,12,13,15. Options B, D, E, and F are the correct answers.

What is the triangle?

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

According to the triangle Inequality theorem, any two triangle sides must add up to more than the third side's length.

You may get the potential length of a triangle by multiplying the sum of two sides by the difference between two sides.

Therefore,

Let x is the possible length of the third side of a triangle.

14-4<x<15+4

10<x<19

The values of the third side is lies between the 10 and 19.The value could the length of the third side will be 11,12,13,15

Hence, options B, D, E, and F are the correct answers.

To learn more about the triangle, refer to:

https://brainly.com/question/2773823

#SPJ1

A chain weighs 12 pounds per foot. How many ounces will 7 inches weigh?

Answers

Answer:

The chain of the length 7 inches weighs 112 ounces.

Step-by-step explanation:

As we know there are 12 inches in a foot and 16 ounces in a pound

That is 1 foot = 12 inches.

and 1 pound = 16 ounces.

Given that the weight of the chain that is 1 foot long = 12 pounds

So weight of the chain per inch is = 12/12

which is equal to 1 pound

and according to the formula 1 pound = 16 ounces

So weight of the chain per inch is =  16 ounces

therefore weight of the chain that is 7 inch long = 7 × 16

that is 112 ounces.

The chain of the length 7 inches weighs 112 ounces.

Learn more about pounds and ounces here -https://brainly.in/question/28777509

#SPJ10

$10,000 is invested for 4 years at an annual simple interest rate of 16%.

Answers

Answer:

$16,400

Step-by-step Explanation:

Step 1: We multiply $10,000 by 16%, getting $1,600.

Step 2: We then multiply $1,600 by 4 (which is given). That gives us $6,400.

Step 3: Add that to $10,000. We get $16,400 as the answer!

Please mark me as brainliest! I really need it!!! Thanks!

Answer:

Simple interest = P  x  r  x  t

                         = 10,000  x  16/100  x   4

                         =  $6400

Final amount = P (1 +rt)

                       = 10,000 (1 + 16/100  x  4)

                       = $16400

(or you can just add the simple interest to the principle amount to get the final amount)

Which of the following statements are true?
A. Both graphs have exactly one asymptote.
B. Both graphs have been shifted and flipped.
c. Both graphs are logarithmic functions.
D. Both graphs are exponential functions.

Answers

Both graphs are exponential functions

Suppose we want to choose 2 colors, without replacement, from the 3 colors red, blue, and green . How many ways can this be done, if the order of choices is relevant

Answers

The 2 colors can be chosen in 6 different ways.

In how many ways can the colors be chosen?

Here we need to identify the selections and the numbers of options for each.

Here the selections are:

Color 1.Color 2.

And the numbers of options for each are:

Color 1: 3 options (there are 3 colors).color 2: 2 options (one is already taken).

The total number of combinations is:

C = 3*2 = 6

The 2 colors can be chosen in 6 different ways.

If you want to learn more about combinations:

https://brainly.com/question/11732255

#SPJ1

Find x and Y pls help

Answers

Answer:

Step-by-step explanation:

Comment

The angle supplementary to x and 3x are equal.

Supplementary angles = 180

Solution

x + 3x = 180

4x = 180                  Divide by 4

4x/4 = 180/4

x = 45

The angle supplementary to x is 3x

3x = 3*45

3x = 135

This angle is vertically opposite y. Vertically opposite angles are equal. So  y = 135

Answer

x = 45

y = 135

Which expressions are equivalent to 9b?
Choose all answers that apply
A. b+2(b+2b)
B. 3b+b
C. 2(2b)​

Answers

Answer:

A. b+2(b+2b)

b + 2b + 4b = 7b

B. 3b + b = 4b

C. 2(2b) = 4b

None of them are equal to 9b

Answer:

[tex]\fbox {None}[/tex]

Step-by-step explanation:

A

b + 2(b + 2b)b + 2(b) + 2(2b)b + 2b + 4b7b

B

3b + b4b

C

2(2b)4b

What is the solution to the equation 3 square root 5x-4 = 3 square root7x+8?

Answers

The answer would be x=-6

transform each graph below.

(a) The graph of y=f(x) is shown. Draw the graph of y= f(2x).

(b) The graph of y=g (x) is shown. Draw the graph of y=1/2g(x).

Answers

Answer:

Step-by-step explanation:

Question 15 (06.01 LC)
Classify the expression: 5x³ - 4x²
Quadratic expression
Linear expression
Cubic expression
Constant expression

Answers

Answer:

Cubic expression

Step-by-step explanation:

Polynomials with a degree of 3 are known as cubics.

Answer:

cubic expression

Step-by-step explanation:

it is cubic when raised to the power of 3

The following graph portrays the distribution of the number of spicy chicken sandwiches sold at a nearby Wendy's for the last 141 days.
The mean number of sandwiches sold per day is 91.9 and the standard deviation is 4.67. (Round your answers to 2 decimal places.)

If we use the Empirical Rule, on 68 percent of the days sales will be between

95 percent of the days sales will be between

Answers

68% of the day's sales will be between 87.23 and 96.57 and on 95% of the days, sales will be between 82.56 and 101.24.

What is the empirical rule?

If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.

We have:

The mean number of sandwiches sold per day is 91.9 and the standard deviation is 4.67.

As we know, from the empirical rule, 68% of the data will lie in one standard deviation of the mean, i.e., in the interval with the endpoints x±s

for samples and with endpoints u±б for the population.

x = 91.9

s = 4.67

x - s = 91.9 - 4.67 = 87.23

x + s = 91.9 + 4.67 = 96.57

68% of the day's sales will be between 87.23 and 96.57

95% of the data will lie within two standard deviations of the mean, which means in the interval with the endpoints  x±2s for samples and with endpoints  u±б population.

x - 2s = 82.56

x + 2s = 101.24

On 95% of the days, sales will be between 82.56 and 101.24

Thus, 68% of the day's sales will be between 87.23 and 96.57 and on 95% of the days, sales will be between 82.56 and 101.24.

Learn more about the empirical rules here:

brainly.com/question/5440679

#SPJ1

Evaluate 3a-5b when a=-3 and b=-2

Answers

Answer: 1

Step-by-step explanation:

Substituting in the given values,

3a-5b=3(-3)-5(-2)=-9+10=

Other Questions
A drink that contains 50% alcohol is considered In a Laundromat, during the spin-dry cycle of a washer, the rotating tub goes from rest to its maximum angular speed of 8.70 rev/s in 6.80 s. You lift the lid of the washer the instant the angular speed reaches the maximum value, and notice that the tub decelerates and comes to a stop in 19.0 s. Assuming that the tub rotates with constant angular acceleration while it is starting and stopping, determine the total number of revolutions undergone by the tub during this entire time interval. One of the Federal Reserve's most powerful tools is its influence over _____, not its influence over _____. Please choose the correct answer from the following choices, and then select the submit answer button. Answer choices the rate of inflation; expectations interest rates; the money supply interest rates; the rate of inflation expectations; the money supply Which of the following is NOT an example of pseudoscience? Why is it important for the scrum master to help the team focus on daily and iteration goals\ Write the verb that best completes the sentence: visitar, llamar, pagar, or tomar.Te aconsejo _____ a la agencia de viajes. What is the slope of a line that is parallel to the line y = 3/4x + 2? erved,The graph of function fis shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below.g(x) = 2f(x-1) Which expression is equivalent to (abc)(6ab)(2c) 4ab2c3 ? How did sanitation influence city planning during the Bronze Age in the Indus River valley 62. The width of a rectangle is 3 cm less than its length. The perimeter of the rectangle is 30 cm. Find the length and width of the rectangle. Select all that apply Which of the following are advantages of group decision making? (Choose all that apply.) Multiple select question. Draws on combined skills, competencies, and accumulated knowledge Greater probability that the decision will be implemented successfully Allows managers to process more information and correct one another's errors Allows managers to engage in the groupthink process The time required to make a decision is much less Alternatives are less likely to fall victim to biases and errors Why was the BIOS framework relocated to flash memory from a complementary metal-oxide-semiconductor (CMOS) in later development? Select all the correct answers. which two countries allied to invade poland? britain france germany italy soviet union On the last day at their job, a disgruntled employee accesses a company serverand deletes an entire library of internal projects. What is this an example of?O Attack vectorO RansomwareO Nation State ActorO Penetration TestingO I don't know this yet.Submit answer Which best describes internal coping strategies?They are social.They are personal.They help improvement relationships.They involve seeking support from others. Please Simplify 37 / 57 How are microtubules built and destroyed? When you eat certain foods, sugar is immediately released into your bloodstream. many doctors say kids should only take in 6 teaspoons (24 grams) of added sugar each day. jack is making lemonade for his school and wants to follow that recommendation. he wants to make 206 servings, following the recommendation, how many grams of sugar will he use? List of what does an art agent/business manager do?