1.4.AP-6 3 Question Help The calorie count of a serving of food can be computed based on its composition of carbohydrate, fat, and protein. The calorie count C for a serving of food can be computed using the formula C = 3h + 13f + 7p, where h is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving. Solve this formula for f, the number of grams of fat contained in a serving of food.​

Answers

Answer 1

Answer:

f =  (C-3h-7p)/13

Step-by-step explanation:

Given the equation of calorie count of food computed by:

C = 3h + 13f + 7p

h is the number of grams of carbohydrate contained in the serving,

f is the number of grams of fat contained in the serving, and;

p is the number of grams of protein contained in the serving

We are to make f the subject of the formula as shown:

C = 3h + 13f + 7p

13f = C-3h-7p

Divide through by 13

13f/13 = (C-3h-7p)/13

f =  (C-3h-7p)/13

Hence the formula for f, the number of grams of fat contained in a serving of food is f =  (C-3h-7p)/13


Related Questions

Mrs. Oliver has a stick that is 5 feet 8 inches. How many inches long is the stick?

Answers

Answer: sorry read it wrong

Answer:

68 inches

Step-by-step explanation:

We know that a foot is 12 inches, so multiply 12 and 5 to get 60, and then add the 8 other inches.

I hope this helps, and if it does, may I have brainliest?

10n + 10(7n + 10) = -10(11 - n)

Answers

Answer:

n = -3

Step-by-step explanation:

P E M D A S

10 x 7n = 70n

10 x 10 = 100

10n + 70n + 100 = -10(11 - n )

80n + 100 = -10(11 - n )

80n + 100 = 10n - 110

80n + 100 - 100 = 10n - 110 - 100

80n = 10n - 210

80n - 10n - 10n - 210 - 10n

70n = -210

70n ÷ 70 = -210 ÷ 70

n = -3

Solve the equation.
3x + 2(4x - 6) = 8x + 1
What is the value for x?
w

Answers

Answer:

=

1

3

3

Step-by-step explanation:

How to get the range from a table of values

Answers

Answer:

the range is all the y values or output values.

Step-by-step explanation:

example

x y

1 2

2 4

3 6

4 8

range=(2,4,6,8)

describe and solve the error 3x - 5 + 2x² + 9x = 3x + 2x² + 9x - 5​

Answers

Answer:

3x - 5 + 2x² + 9x = 3x + 2x² + 9x - 5​ = TRUE = 2 x^2 + 12 x - 5

Step-by-step explanation:

left: Simplify the following:

2 x^2 + 9 x + 3 x - 5

Grouping like terms, 2 x^2 + 9 x + 3 x - 5 = 2 x^2 + (3 x + 9 x) - 5:

2 x^2 + (3 x + 9 x) - 5

3 x + 9 x = 12 x:

Answer: 2 x^2 + 12 x - 5

_______________________

Simplify the following:

2 x^2 + 9 x + 3 x - 5

Grouping like terms, 2 x^2 + 9 x + 3 x - 5 = 2 x^2 + (3 x + 9 x) - 5:

2 x^2 + (3 x + 9 x) - 5

3 x + 9 x = 12 x:

Answer: 2 x^2 + 12 x - 5

g A person who is 6 feet tall is walking away from a lamp post at the rate of 40 feet per minute. When the person is 10 feet from the lamp post, his shadow is 20 feet long. Find the rate at which the length of the shadow is increasing when he is 30 feet from the lamp post.

Answers

Answer:

80 ft/min

Step-by-step explanation:

Let h represent the height of the person shadow, x represent the distance between the person and the lamppost, y represent the length of the man shadow.

Therefore:

[tex]\frac{h}{x+y} =\frac{6}{y} \\\\substituting\ x=10,y=20:\\\\\frac{h}{10+20} =\frac{6}{20}\\\\\frac{h}{30} =\frac{6}{20}\\\\h=30*6/20\\\\h=9\ feet\\\\Therefore:\\\frac{h}{x+y} =\frac{6}{y}\\\\\frac{9}{x+y} =\frac{6}{y}\\\\9y=6x+6y\\\\9y-6y=6x\\\\3y=6x\\\\y=2x\\\\The\ person\ is\ walking\ from\ the\ lamppost\ at\ 40ft/min(\frac{dx}{dt}=40\ ft/min) \\\\y=2x\\\\Differentiating\ with\ respect\ to\ t:\\\\\frac{dy}{dt} =\frac{d}{dt}(2x)\\\\\frac{dy}{dt} =2\frac{dx}{dt}\\\\[/tex]

[tex]\frac{dy}{dt} =2(40\ ft/min)\\\\\frac{dy}{dt}=80\ ft/min[/tex]

The rate at which the length of the shadow is increasing when he is 30 feet away from the lamp post is  80 [tex]\frac{ft}{min}[/tex].

The height of the person shadow is to be = h

Given ,

The distance between the person and the man = x = 10

The length of the man shadow is = y = 20

By the similar triangle property corresponding sides of similar triangles are in the same ratio.

[tex]\frac{h}{x+y} = \frac{6}{y}[/tex]

[tex]\frac{h}{10+20} = \frac{6}{20}[/tex]

20h = 60 + 120

20h = 180

h = [tex]\frac{180}{20}[/tex]

h = 9feet

Therefore,

[tex]\frac{h}{x+y} = \frac{6}{y} \\\frac{9}{x+y} = \frac{6}{y} \\[/tex]

9y= 6x + 6y

9y-6y = 6x

6x = 3y

y = [tex]\frac{6}{3}x[/tex]

y = 2x

Differentiating both the sides with respect t,

[tex]\frac{dy}{dt} = 2\frac{dx}{dt}[/tex]

we know that ;

[tex]\frac{dx}{dt} = 40 \frac{ft}{sec}[/tex]

Therefore, by substitute the value

[tex]\frac{dy}{dt} = 2 . 40\frac{ft}{min}[/tex]

[tex]\frac{dy}{dt}[/tex] = 80[tex]\frac{ft}{min}[/tex].

The rate at which the length of the shadow is increasing is 80[tex]\frac{ft}{min}[/tex]  .

For more details about the Rate change problem click the link given below.

https://brainly.com/question/20414862

1. Let S(x) represents a faculty member's yearly salary x years after beginning a position at a university. a. Use function notation to represent $2300 more than a faculty member's salary after 6 years on the job. b. Use function notation to represent the salary of a faculty member after 3 years more than n years on the job. c. Use function notation to represent a salary that is 2 times as large as the salary of a faculty member after 5 years on the job. d. How many times as large is the salary of a faculty member who has been on the job for 14 years as compared to someone who has been on the job for 3.1 years?

Answers

Answer:

a)S(6)+2300

b)S(n+3)

c)2(S(5))

d)S(14)-S(3.1) more than salary of member who has been on the job for 14 years as compared to someone who has been on the job for 3.1 years

Step-by-step explanation:

Let S(x) represents a faculty member's yearly salary x years after beginning a position at a university.

a)Use function notation to represent $2300 more than a faculty member's salary after 6 years on the job

$2300 more than a faculty member's salary after 6 years on the job : S(6)+2300

b)Use function notation to represent the salary of a faculty member after 3 years more than n years on the job.

The salary of a faculty member after 3 years more than n years on the job : S(n+3)

c)Use function notation to represent a salary that is 2 times as large as the salary of a faculty member after 5 years on the job.

A salary that is 2 times as large as the salary of a faculty member after 5 years on the job :

2(S(5))

d)How many times as large is the salary of a faculty member who has been on the job for 14 years as compared to someone who has been on the job for 3.1 years?

S(14)=S(3.1)

S(14)-S(3.1) more than salary of member who has been on the job for 14 years as compared to someone who has been on the job for 3.1 years

The function notations for the given question are:

a. [tex]\rm S(x)=S(6)[/tex]

b. [tex]\rm S(x) = S(n+3)[/tex]

c. [tex]\rm S(x) = 2[S(5)][/tex]

d. [tex]\rm S(x) = S(14) - S(3.1)[/tex]

What is Function Notations?

Function notations can be defined as a method of writing functions that are precise and easy to understand. Function notations is a way to convert lengthy texts into functions. The most commonly used functional notation is f(x).

For the given question, let S(x) be the salary of a faculty member after x years.

a.The functional notation to represent a faculty member's salary after 6 years is:

[tex]\rm S(x)=S(6)[/tex] , where 6 is the number of years and S is the salary per year.

b. The functional notation to represent salary of a faculty member after 3 years more than n years on the job is:

[tex]\rm S(x) = S(n+3)[/tex] , where n+3 represents number of years into the job.

c. The functional notation to represent  a salary that is 2 times as large as the salary of a faculty member after 5 years on the job is:

[tex]\rm S(x) = 2[S(5)][/tex] , where S(5) is the salary after 5 years into the job.

d. The difference between salary of a faculty member after 14 years and salary of another faculty member after 3.1 years can be represented as:

[tex]\rm S(x) = S(14) - S(3.1)[/tex], where S(14) is the salary after 14 years and S(3.1) is the salary after 3.1 years into the job.

Therefore the functional notations for the given question are:

a. [tex]\rm S(x)=S(6)[/tex]

b. [tex]\rm S(x) = S(n+3)[/tex]

c. [tex]\rm S(x) = 2[S(5)][/tex]

d. [tex]\rm S(x) = S(14) - S(3.1)[/tex]

Learn more about function notations here:

https://brainly.com/question/5025688

Tabetha spends $1.79 on a 20 oz bottle of Mountain Dew. How much did she pay per ounce?

Answers

Answer:9 cents per ounce (0.0895)

Step-by-step explanation: I UNDERSTAND HOW FRUSTRATING IT IS TO PUT AN ANSWER AND NO ONE ANSWERS IT, I DO, SO ALL I ASK IS FOR YOU TO GIVE ME BRAINLIEST. THANK YOU.

10 pounds of flour cost $8. How much does 40 pounds of flour cost? What is the cost per pound of flour?

Answers

Answer: 1.25

Find my question since I had this question and look at the answer ok

Step-by-step explanation:

I hope my answer helps you out have a great day

what is 12% of $5000 for 3yrs

Answers

Answer:

$7,025

Step-by-step explanation:

7,025 is the answer

please help put the solution only if you can. thank you!​

Answers

Answer:   XY = 8

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

Explanation:

Highlight XY in the sequence XYZ. We've highlighted the first two letters.

This means that we'll need to highlight the first two letters of MNL to get MN.

XY pairs with its corresponding part MN.

Due to the congruent triangles, we know that XY = MN.

The diagram shows MN = 8. Due to substitution or the transitive property (they're similar ideas) we know that XY = 8 as well.

As you can see, the order of the letters is important so we can properly align the letters.

HELP PLEASE IM GOING TO FAIL MATH :(

Answers

Answer:

r=11, Hope I helped!

Step-by-step explanation:

I'm to lazy :P

Answer:

r=11

Step-by-step explanation:

Notice on the table how whatever the x value you is it is multiplied by 11, thus giving us our answer to r and answer to the equation y = rx.

A country's postal service will accept a package if its length plus its girth (the distance all the way around) does not exceed 96 inches. Find the dimensions and volume of the largest package with a square base that can be mailed. length in base in × in volume in3

Answers

Answer:

Following are the solution to the given point:

Step-by-step explanation:

Let the box length l and the square base side be x, then

[tex]\to l+4x= 96 \\\\\to l=96-4x[/tex]

Calculating the volume of the box is:

[tex]\to V (x) = x^2 \\\\ \to l = x^2(96-4x)[/tex]

To find the critical value in this way, distinguish V with x and equal to zero

[tex]\to V'(x)=0 \\\\\to 4 \frac{d}{dx}(24x^2 - x^3)=0\\\\\to 4 (48x- 3x^2)=0\\\\\to 12x(16-x) = 0\\\\\to x= 12... [x \neq 0][/tex] (because the box will not exists)

Find the second derivative for maximum / minimum control as:

[tex]\to V''(x)= 12 \frac{d}{dx} (16x-x^2) \\\\\to 12 (16 -2x) < 0 \ for \ x = 16 \to \ Maxima \\\\\therefore[/tex]

[tex]Length = 32 \\\\Base = 16 in \times 16 in \\\\Volume= 8,192 \ in^3[/tex]

What is y-6 = 2(x + 5) in standard form?


A. -2x + y= 16
B. 2x-y=-16
C. y= 2x + 16
D. y-6 = 2x + 10

Answers

Answer:

Your answer is A

Step-by-step explanation:

Your answer will be A

38,956 rounded to the nearest 10,000

Answers

Answer:

40,000

Step-by-step explanation:

38,956 rounded to the nearest 10,000 is 40,000

Answer: 39,000

Step-by-step explanation:

-2(7-15)
What is the value of
O 2
Please I need help

Answers

The answer to this is 16

if you answer this question right you will get 100 points what s the answer to Godel's Theorem

i will find the close answer to this problem please put the answers in the comments

don't think that you can try to 100 by putting in the wrong answer i will moderate the points is set up to 10 i will tell you who wins then i will give you the 100 -pandamathhelper

Answers

Answer:

Gödel's incompleteness theorems are two theorems of mathematical logic that demonstrate the inherent limitations of every formal axiomatic system capable of modelling basic arithmetic. ... The second incompleteness theorem, an extension of the first, shows that the system cannot demonstrate its own consistency.

Answer:

Gödel's incompleteness theorems are two theorems of mathematical logic that demonstrate the inherent limitations of every formal axiomatic system capable of modelling basic arithmetic. ... The second incompleteness theorem, an extension of the first, shows that the system cannot demonstrate its own consistency.

Step-by-step explanation:

A nut mix contains three kinds of
nuts. There are 5 ounces of almonds. The weight of the
cashews is triple the weight of the almonds and the weight
of the peanuts is 10 ounces more than the weight of the
almonds. What is the weight of the mix? Write the equation and the answer.

Answers

Answer:

35 oz

Step-by-step explanation:

cashew is 5×3 = 15

almonds 5

peanuts 5+10= 15

15+15+5 = 35 oz

Answer:

thing is im in middle school

dunno if i can do college stuff

sometimes i can do highschool

grab some snacks tho oh yeah here are your utensils️

Step-by-step explanation:

y = x +13 solve for y if x = 5

Answers

Step-by-step explanation:

y = x+13

If x = 5

Then,

y = 5 + 13

y = 18

Hence,

The value of y is 18.

Answer:

y=18

Step-by-step explanation:

y=(5)+13

5+13=18

y=18

Triangle xyz is reflected across the y axis and then dilated which describes the dilation used to create triangle x’y’z?

Answers

Answer:

D2/3

Step-by-step explanation:

Answer: D2

Step-by-step explanation:

Simplify
V-50.
O 5/2
ООО
O 5iv 2
0
-5V2

Answers

Answer:

It’s 11, remember pemdas when answering a question like this.

Step-by-step explanation:

9 A cuboid has a square base.
The sides of the square are of length (1 + V2) cm.
The height of the cuboid is (5 – V2) cm.
Find the volume of the cuboid.
Express your answer in the form a + bv2, where a and bare integers.

Answers

Answer:

please is it a cube or a cuboid please check this out.

I need help PLEASE!!!!

Answers

Step-by-step explanation:

Hope I am not wrong! I did my best I could!

Sorry for the mistakes and my bad writing!

I need the value of x

Answers

Answer:

9.9

Step-by-step explanation:

Optional (extra) info to understand length of other leg:

This triangle is an iscoceles, how can I (or we) tell?? Well, the angles of a triangle always add up to 180° and we know the angles of 2 corners, 90° and 45° so we can do this to find the last angle where "c" is the unknown corner:

180 - (90 + 45) = c

180 - 135 = c

45 = c

so "c" is also equal to 45° so we can decisively conclude that this figure is an iscoceles triangle.

How to find x:

Use the pythagorean theorem

c = √a² + b²

Then calculate using that equation

c = √7² + 7²

c = 9.9

In this case "c" is for the length of hypotenus but the image asks for x so

x = c

and

c = 9.9

so

x = 9.9

Hope this helps!

Have a nice evening!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

it x = 9.9

Step-by-step explanation:

if x -12x + 36= 0 what is the value of x

Answers

the value of x is 36/11
To solve for x, we must get all the variables that contain the x value on one side:

X-12x+36=0
x - 12x = -36

Next, factor out an x:

x(1-12) = -36

x = 36/11

The point-slope form of its equation is

y + 6 = 2(x-0)

y-0 = 2(x + 3)

y + 6 = -2(x-0)

y-0=-2(x-3)​

Answers

Answer:y+0=-2(x-0)

Step-by-step explanation:

The commercial division of a real estate firm is conducting a regression analysis of the relationship between , annual gross rents (in thousands of dollars), and , selling price (in thousands of dollars) for apartment buildings. Data were collected on several properties recently sold and the following computer output was obtained. ANOVA df SS MS F Significance F Regression 1 41587.1 Residual 7 Total 8 51984.8 Coefficients Standard Error t Stat P-value Intercept 20.000 3.2213 6.21 Annual Gross Rents 7.270 1.3627 5.29 a. How many apartment buildings were in the sample

Answers

Answer:

The number of apartment buildings in the sample was 9.

Step-by-step explanation:

The ANOVA table is as follows:

ANOVA

                     df        SS          MS         F        Significance F

Regression    1     41587.1      __        ___           ____

Residual        7      ___           __        ___          ____

Total              8    51984.8     __        ___           ____

The degrees of freedom of Total is, n - 1.

Compute the sample size as follows:

DF of total = n - 1

              8 = n - 1

              n = 9

Thus, the number of apartment buildings in the sample was 9.

solve for x/5 - g = a for x​

Answers

X=5a+5g
Add g to both sides
Multiply both by 5 (equation)
Simplify both sides

What should be done to both sides of the equation in order to solve -5m = -40?
Divide by -5.
Divide by -40.
Multiply by -5.
Multiply by -40

Answers

Divide by -5. Is what you need to do

Answer:

Divide by -5.

what is 83591257 divided by 67

Answers

Answer:

1247630.70149

Step-by-step explanation:

calculator

Answer:

1,247,630.7

Step-by-step explanation:

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