By eating one egg one cupcake and one slice of pizza a child consumes 303 mg of cholesterol. if the child eats three cupcakes in four slices of pizza he or she takes in 93 mg of cholesterol. by eating two eggs in 1 cup cake a child consumes 569 mg of cholesterol. how much cholesterol is in each item?

Answers

Answer 1

The amount of cholesterol that is in each is given as  c = 19, E = 275 and P = 9

How to solve for the cholesterol

We have to define the variables as:

E + C + P = 303

3C + 4P = 93,

we have to make pizza, P the subject

4P = 93 - 3C,

P = (93 - 3C) / 4

2E + C = 569,

2E = 569 - C

E = (567-C) / 2

We have to form the equation

(569-C)/2 + C + (93-3C)/4 = 303

We have to multiply the equation by 4

(569-C)2 + 4C + 93-3C = 1212

1138 - 2c + 4c + 93 - 3c = 1212

-C = 1212- 93 -1138

-c = -19

hence c = 19 mg for 1 cupcake

E = (569- 19)/2

275 for 1 egg

P =  (93-3C)/4

P = 93 - 57 / 4

= 36 / 4

= 9 for one pizza

Hence we would have c = 19, E = 275 and P = 9

19 + 275 + 9 = 303 (proves it to be correct)

Read more on quantities here:

https://brainly.com/question/14798161

#SPJ1

19+274 + 7 = 300 mg


Related Questions

32006 in standard form

Answers

Answer:

the answer is 3.456 × 108

The correct answer is

3.2006 x 10^4

-6(2x+4)+1/2(8+3x)=-20

Answers

x = 20
isolate the variable by diving each side by factors that don’t contain the car
It would be 0.
here is my work

The mean of the commute time to work for a resident of Boston is 27.1 minutes. Assume that the standard deviation of the commute time is 8.3 minutes.

a) What is the minimum percentage of commuters in Boston has a commute time within 2 standard deviation of themean?

b) What minimum percentage of commuters in Boston has a commute time within 1.6 standard deviation of the mean?

c) What are the commute times within 1.4 standard deviation?

Answers

a) The minimum 75% of commuters in Boston has a commute time within 2 standard deviation of the mean.

b) The minimum 60.93% of commuters in Boston has a commute time within 1.6 standard deviation of the mean.

c) Commute times within 1.4 standard deviation are lie between 15.48 to 38.72.

Explanation:

Given that

The mean of the commute time to work for a resident of Boston is 27.1 minutes.the standard deviation of the commute time is 8.3 minutes.

To find

a) What is the minimum percentage of commuters in Boston has a commute time within 2 standard deviation of the mean?b) What minimum percentage of commuters in Boston has a commute time within 1.6 standard deviation of the mean?c) What are the commute times within 1.4 standard deviation?

So, according to the question

We know that

The minimum percentage within k standard deviations of the mean,

                            = (1- [tex]\frac{1}{k^2}[/tex] )×100

a) What is the minimum percentage of commuters in Boston has a commute time within 2 standard deviation of the mean?

The minimum percentage within 2 standard deviations of the mean,

                            = (1- [tex]\frac{1}{2^2}[/tex] )×100

                            = (1- [tex]\frac{1}{4}[/tex] )×100

                            = ( [tex]\frac{4-1}{4}[/tex] )×100

                            =  [tex]\frac{3}{4}[/tex] ×100

                            = 3 × 25

                            = 75%

b) What minimum percentage of commuters in Boston has a commute time within 1.6 standard deviation of the mean?

The minimum percentage within 1.6 standard deviations of the mean,

                            = (1- [tex]\frac{1}{1.6^2}[/tex] )×100

                            = (1- [tex]\frac{1}{2.56}[/tex] )×100

                            = ( [tex]\frac{2.56-1}{2.56}[/tex] )×100

                            =  [tex]\frac{1.56}{2.56}[/tex] ×100

                            = 1.56 × 39.06

                           = 60.93%

c) What are the commute times within 1.4 standard deviation?

Within 1.4 standard deviations,

     commute times  = 27.1 ± (1.4×8.3)

                                 = 27.1 ± 11.62

      for + sign,

                                 = 27.1 + 11.62

                                 = 38.72

      for - sign,

                                 = 27.1 - 11.62

                                 = 15.48

Commute times within 1.4 standard deviation are lie between 15.48 to 38.72.

To learn more about standard deviation and mean, please click on the link:

https://brainly.com/question/14959599

#SPJ9

Husain would like to divide £ 68000 in the ratio 2:3 for his 2 brothers Ali and Hassan. How much money each will get?

Answers

2:3=5

Ali=2÷5×£68000

Ali=£40800

Hassan=3÷5×£68000

Hassan=£27200

Can you please help with this.

Answers

Sum:3/4 +1/6 (make like fractions)
:9/12+2/12
:11/12
Product:3/4x1/6 (reduce)
:1/4x1/2
:1/8
Quotient:3/4 divided by 1/6 (reciprocal)
:3/4x6/1
:18/4
:4 2/4 (mixed)
:4 1/2

a angle measures 10.8 more than the measure of its complementary angle what is the measure of each angle

Answers

Check the image below for working
Hope this helped :)

Find the value of x in each case

Answers

Answer:

x=18

Step-by-step explanation:

m(<BCD) = 2x alternative Z

c=2x d=8x

m(<CD) =180 U

180/10x

x=18

For a body falling freely from rest​ (disregarding air​ resistance), the distance the body falls varies directly as the square of the time. If an object is dropped from the top of a tower 192 feet high and hits the ground in 8 ​seconds, how far did it fall in the first 4 ​seconds?

Answers

The distance covered by the falling freely body from rest will be 48 feet.

What is kinematics?

The study of motion without considering the mass and the cause of the motion.

When a body falls freely from rest, the distance it travels straight changes as the square of the time (air resistance excluded). If something is dropped 192 feet from the summit of a tower, it lands on the ground in 8 seconds.

We know that the acceleration is due to gravity (g = 32 ft/s²).

d ∝ t²

d/t² = constant

Then the distance covered by the falling freely body from rest will be given as,

d / 4² = 192 / 8²

d / 16 = 192 / 64

d = 16 x 192 / 64

d = 48 feet

The distance covered by the falling freely body from rest will be 48 feet.

More about the kinematics link is given below.

https://brainly.com/question/7590442

#SPJ1

Please I need help !!!!

Answers

A--->A'=(-2,6)

B--->B'=(7,3)

Michael is grocey shopping. Before adding fruit to the bag, it weighed 5/9 pounds. Michael added 2/15 pounds of fruit to the bag. How much does it weigh now?

Answers

Answer:

  31/45 lb

Step-by-step explanation:

You want to know the weight of a 5/9 lb bag after 2/15 lb of fruit are added to it.

Sum of fractions

Fractions can be added when they have a common denominator. Here, the denominator will need to have factors of 3² = 9 and 3·5 = 15. It can be ...

   3·3·9 = 45

Using this denominator, the fractions are ...

  bag weight = 5/9 lb = 25/45 lb

  fruit weight = 2/15 lb = 6/45 lb

The total weight of the fruit and the bag is ...

  total weight = 25/45 lb + 6/45 lb = 31/45 lb

With the fruit, the bag weighs 31/45 pounds.

Find the area of the polygon with the given vertices.
K(-3, 4), L(1, 4), M(-4,-2), N(0, - 2)

Answers

Answer: 24.33 units

Step-by-step explanation: If we appropriately measure the distance between the points we can depict a parallelogram with 2 sides measuring 6.083 units and 2 others measuring 4 units. We multiply 4 x 6.083 and get the area: 24.33 units

Answer: 24

Step-by-step explanation: As the formula to solve this equation is A= 1/2 | [(x1y2) - (x2y1)] + [(x2y3) - (x3y2)] + [(x3y4) - (x4y3)] + [(x4y1) - (x1y4)]

Which would be (with the numbers)

[(-3 x 4) - 1 x 4)] + [(1 x -2) - (0 x 4)] + [(10 x 2) - (-4 x -2)] + [(-4 x 4) - (-3 x -2)]

which lowers down too

(-12 - 4) + (-2 - 0) + (0 - -8) + (-16 - 6)

Then that gets us (absolute values) of

|-16| + |-2| + |8| + |-22|

using absolute values that gets us to

16 + 2 + 8 + 22

Which is equal to 48.

Don't forget to divide by 2 because we need half of it as it says in the beginning of the formula (A = 1/2)

So that gives us the answer of 24.

Hope this helped :)

Also, this could help by labeling each coordinate as a (X, Y) Number

[-3(x1) , 4(y1)}  (you could write the x and y part above it)

And then you go down the list and label each as either x1 , x2 , x3 , x4 (for the left side of comma) and then y1 , y2, y3 , y4 (for the right side of the comma)

Sand will be placed under the base of a circular pool with a diameter of 14 feet. 1 bag of sand covers about 3 square feet. How many bags of sand are needed? Use 3.14 for pi. Round bags up.

Answers

Number of bags of sand needed to cover the area of circular pool is 51 bags.

What is a circle?

A circle is a round-shaped figure that has no corners or edges.

Now it is given that,

Diameter of pool, D = 14 feet

So, Area of pool = π(D/2)²

⇒  Area of pool = π(14/2)²

⇒  Area of pool = π(7)²

⇒  Area of pool = 153.86 square feet

Now given Area of 1 bag = 3 square feet

So, number of bags required = Area of pool / Area of 1 bag

number of bags required = 153.86/ 3

number of bags required = 51.28

number of bags required ≈ 51

Thus, Number of bags of sand needed to cover the area of circular pool is 51 bags.

To learn more about circles :

https://brainly.com/question/8929571

#SPJ1

In 1985, there were 326,030 cell phone subscribers in the United States. By 2008, the number of cell phone subscribers increased to 262,359,000. What is the geometric mean annual increase for the period?

Answers

33.7618% is the geometric mean annual increase for the period

Rate of Increase Over Time(GM)=[tex]\sqrt[n]{value end period / value start period }[/tex] -1

In 1985, there were 326,030 cell phone subscribers in the United States. By 2008, the number of cell phone subscribers increased to 262,359,000. we have to find  the geometric mean annual increase for the period

from 1885 to 2008 that is (2008- 1885=23 ) in 23 years the GM become

therefore n= 23

value of start period = 326030

value of end period = 262359000

rate of increase over time GM= [tex]\sqrt[23]{262359000/326030} -1[/tex]

                                                 = 1.337618 -1

                                                  =0.337618

rate of increase is 33.7618% per year

33.7618% is the geometric mean annual increase for the period

learn more about of percentage here

https://brainly.com/question/16112709

#SPJ9

Mark is y years old. In five years' time, Jack will be twice as old as Mark and Daniel will be 2 years younger than Jack is now. Write an expression in y for the sum of their 3 ages now.

Answers

Answer:

5y + 3 is the sum of the three ages

Step-by-step explanation:

Let y=Mark, d=Daniel j=Jack, and s=The sum

Mark is y years old. In five years jack will be twice as old as Mark

j + 5 = 2(y+5)

j + 5 = 2y + 10

j = 2y + 10 - 5

j = 2y + 5

Daniel will be two years younger than jack is now

d + 5 = j - 2

d = j - 2 - 5

d = j - 7

Replace j with (2y+5)

d = (2y+5) - 7

d = 2y - 2

Expression in terms of y for the sum of the 3 ages now

s = y + j + d

replace j and d with expressions we came up with above

s = y + (2y+5) + (2y-2)

s = y + 4y + 3

s = 5y + 3 is the sum of the three ages

Solve the inequality and express your answer in interval notation. x^2+10x+6 <0

Answers

The interval where the function is negative is:

(-5 - √19 , -5 + √19)

That is the solution set of the inequality.

How to solve the inequality?

Here we have the following inequality:

x^2 + 10x + 5 < 0

So we want to find the values of x for which the quadratic function is negative.

To do so, we can solve:

x^2 + 10x + 5 = 0

The solutions are given by the quadratic formula:

x = (-10 ± √(10^2 - 4*6))/(2*1)

x = (-5 ± √19)

notice that the quadratic has positive leading coefficient, so it open upwards, then the function is below zero between the two roots, on the interval:

-5 - √19 < x < -5 + √19

Then the correct option is D.

Learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

Given the function g(x)=11x^2+28x, solve for g(x)=−12.

Answers

Answer: -2, -6/11

Step-by-step explanation:

[tex]11x^2 +28x=-12\\\\11x^2 +28x+12=0\\\\(11x+6)(x+2)=0\\\\x=-2, -6/11[/tex]

7. Ln(x)=y (log(x)) what is y? show your work.​

Answers

I think this will help

Need ALL answers asap in four proofs
You get all of them right you get brainly!!!

Answers

Answer:

me not soluesan match huiudresst

The quotient of 4 and the difference of 7 and a number? You do not need to simplify.

Answers

Re-write the question so it makes more sense and I can help

Suppose you need 6.0m of Grade 70 bow chain, which has a diameter of 3/8" and weighs 2.16 kg/m to tow a car How would you calculate theme of this much chain

Answers

The mass of the tow chain will be equal to 12.96 kg.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that 6.0m of Grade 70 bow chain, which has a diameter of 3/8" and weighs 2.16 kg/m.

The mass of 1 m chain = 2.16 kg

Mass of 6-meter chain = 2.16 x 6

Mass of 6-meter chain = 12.96 kg

Therefore, the mass of the tow chain will be equal to 12.96 kg.

To know more about an expression follow

https://brainly.com/question/14375433

#SPJ1

Tanner bought 7 pieces of bubble gum for 56¢. Write
and solve an equation to find g, the cost of one piece of bubble gum

Answers

Answer: 8 = g

Step-by-step explanation:

56 divided by 7 = g

8 = g

Simplify the expression

Answers

Solution:

Substitute the value of the variable into the expression, then simplify.

             Answer: -8

_________________________________________________________

Hope this helps! If so, lmk! Thanks and good luck!

Answer:

2x/y = -8

Step-by-step explanation:

The values are,

→ x = 12

→ y = -3

Given expression,

→ 2x/y

Simplifying the expression,

→ 2x/y

→ (2 × 12)/(-3)

→ (24)/(-3)

→ -(24/3) = -8

Hence, the answer is -8.

Based on the table below, evaluate f(2)

Answers

From the given table, we can see that the value of f(2) is 4

Input and output values in a table

The input values in a function table are the dependent variables while the output values in a function table are the dependent variables.

Let the function of the table be represented as y = f(x), this shows that the variable x is independent while f(x) is dependent.

In order to determine the value of f(2), we need the output value, when the input value is 2. From the given table, we can see that the value of f(2) is 4

Learn more on table and function here: https://brainly.com/question/3632175

#SPJ1

Solve for x.

x^2 = a
a>0

Answers

Answer:

x<0; x>0

Step-by-step explanation:

Basically, anything but zero, depending on what a is.

Answer:

x = ± [tex]\sqrt{a}[/tex]

Step-by-step explanation:

x² = a ( take square root of both sides )

x = ± [tex]\sqrt{a}[/tex]

How to find the slope of the line that passes through the points (−2,3) and (5,−7)

Answers

Answer:

[tex]\frac{-10}{7}[/tex]

Step-by-step explanation:

Use the formula

m= [tex]\frac{y2-y1}{x2-x1}[/tex]

another way to say this is Δy divided by Δx

Δ means "change in"

m = slope

The y2 value is -7

The y1 value is 3

The x2 value is 5

The x1 value is -2

Plug those values in the formula

m = [tex]\frac{(-7)-3}{5-(-2)}[/tex]

Simplify

m = [tex]\frac{-10}{7}[/tex]

The slope is [tex]\frac{-10}{7}[/tex]

If 25 is 30% of a number, what is 130% of that
number?
(a) 83.3
(b) 89.3
(c) 102.3
(d) 108.3
(e) 110.3

Answers

Answer:

d

Step-by-step explanation:

Let the number be 'x'.

First find x and then find 130% of x.

30% of  x = 25

   [tex]\sf \dfrac{30}{100}*x = 25[/tex]

            [tex]\sf x = 25*\dfrac{100}{30}\\\\ x = \dfrac{250}{3}\\\\[/tex]

Now, find 130% of x

   130% of x = [tex]\sf \dfrac{130}{100}*\dfrac{250}{3}\\\\[/tex]

                    [tex]\sf = \dfrac{325}{3}\\\\ = 108.3[/tex]

                     

Question 4 of 10
Assume that AGHI ALMN. Which of the following congruence statements
are correct? Check all that apply.
Π.A. LNG ΔΗ
B. IG LM
C. ME ZH
D. LG
E. GH = LM
F. TH= NM

Answers

Answer:

C. ME ZH

B. IG LM

F. TH= NM

Step-by-step explanation:

The correct congruence statements are A, B, and C such that ∠N = ∠I, GH = LM, and ∠M= ∠H are true for similar triangles.

What are Similar Triangles?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

To determine which congruence statements are correct, we need to identify the corresponding sides and angles of the triangles.

The corresponding sides and angles are those that are in the same position in each triangle.

Using this information, we can check each statement:

A. ∠N = ∠I: This statement is true because ∠N and ∠I are corresponding angles in the congruent triangles.

B. GH = LM: This statement is true because GH and LM are corresponding sides in the congruent triangles.

C. ∠M= ∠H: This statement is true because ∠M and ∠H are corresponding angles in the congruent triangles.

D. IG = LM: This statement is false because IG and LM are not corresponding sides in the congruent triangles.

E. IH = NM: This statement is false because IH and NM are not corresponding sides in the congruent triangles.

F. ∠L = ∠I: This statement is false because ∠L and ∠I are not corresponding angles in the congruent triangles.

Therefore, the correct congruence statements are A, B, and C.

To learn more on similar triangles click:

https://brainly.com/question/25882965

#SPJ5

Calculate the distance between the points P=(1, -1) and N=(5, -8) in the coordinate plane.
Round your answer to the nearest hundredth.

PLEASE PLEASE HELP ME

Answers

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad N(\stackrel{x_2}{5}~,~\stackrel{y_2}{-8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PN=\sqrt{(~~5 - 1~~)^2 + (~~-8 - (-1)~~)^2} \implies PN=\sqrt{(5 -1)^2 + (-8 +1)^2} \\\\\\ PN=\sqrt{( 4 )^2 + ( -7 )^2} \implies PN=\sqrt{ 16 + 49 } \implies PN=\sqrt{ 65 }\implies PN\approx 8.06[/tex]

Helppp!!!
How am I able to find the 14th term of an arithmetic sequence given a4=14 and a10=16

Answers

Answer:

[tex]a_{14}=\dfrac{52}{3}[/tex]

Step-by-step explanation:

General form of an arithmetic sequence:

[tex]\boxed{a_n=a+(n-1)d}[/tex]

where:

[tex]a_n[/tex] is the nth term.a is the first term.d is the common difference between terms.

Given terms of an arithmetic sequence:

[tex]a_4=14[/tex][tex]a_{10}=16[/tex]

Substitute the values into the general formula to create two equations:

[tex]\sf\underline{Equation \:1}\\\begin{aligned}a_4 & = 14\\\implies a+(4-1)d & = 14\\a + 3d & = 14\end{aligned}[/tex]

[tex]\sf\underline{Equation \:2}\\\begin{aligned}a_{10} & = 16\\\implies a+(10-1)d & = 16\\a + 9d & = 16\end{aligned}[/tex]

Subtract Equation 1 from Equation 2 to eliminate a:

[tex]\begin{array}{l r l}& a+9d & = 16\\- & a+3d & = 14\\\cline{2-3}&6d & = \:\:2\end{array}[/tex]

Solve for d:

[tex]\begin{aligned}\implies 6d & = 2\\\dfrac{6d}{6} & = \dfrac{2}{6}\\d & = \dfrac{1}{3} \end{aligned}[/tex]

Substitute the found value of d into one of the equations and solve for a:

[tex]\begin{aligned}a + 3d & = 14\\ \implies a+3 \left(\dfrac{1}{3}\right)&=14\\a+1&=14\\a+1-1&=14-1\\a&=13\end{aligned}[/tex]

Substitute the found values of a and d into the general formula to create an equation for the nth term of the arithmetic sequence.

[tex]\implies a_n=13+(n-1)\dfrac{1}{3}[/tex]

[tex]\implies a_n=13+\dfrac{1}{3}(n-1)[/tex]

To find the 14th term, simply substitute n = 14 into the equation:

[tex]\begin{aligned}a_n & = 13+\dfrac{1}{3}(n-1)\\\implies a_{14}& = 13+\dfrac{1}{3}(14-1)\\&=13+\dfrac{1}{3}(13)\\ & = \dfrac{39}{3}+\dfrac{13}{3}\\&=\dfrac{52}{3}\end{aligned}[/tex]

Learn more about arithmetic sequences here:

https://brainly.com/question/27953040

Write each binary number as a base-ten number. 111110

Answers

The binary base-10 would be 62

Hope this helps
Other Questions
What was the name of theplace that most Asianimmigrants saw when theyfirst arrived in America?A. Angel IslandB. Ellis IslandC. HawaiiD. New York City How is net pay different from gross pay The height above ground of a cannon is a function of the time since it was shot.Question: When time equals 0, why is the height of the cannon ball not equal to 0? Describe the domain of this function. Describe the range. I DONT UNDERSTAND HELP question add 1 1/3 (5/6) using the number line. select the location on the number line to plot the sum. How big of a role do people think someones race plays in their ability to get a job? Which policy design will BEST ensure that brine shrimp will continue to live in the Great Salt Lake? physician impairment and rehabilitation: reintegration into medical practice while ensuring patient safety: a position paper from the american college of physicians what happened to american factories during WW2 is chaos an open syllable word why do you think so many people are fascinated by the egyptian pyramids today A company sells designer purses For $400 per purse. Usually, they sell 3000 purses per month. according to market research, they will sell 500 more purses for every 20$ reduction in price. write a function R(x) that models the company's revenue, where x is the number of price reductions. find the price that will generate the maximum revenue. find the maximum revenue. Hi can someone please help me with this. . lexicon the word being defined 2 . unabridged defining words based on how language is used 3 . historical method the words serving as locations for the word being defined 4 . descriptive method a dictionary containing all the words of a language 5 . guide words the history of a word 6 . prescriptive method the words of a language 7 . etymology defining words based on use in literary examples 8 . respelling rules for using language 9 . usage guidelines phonetic symbols guiding pronunciation 10 . entry word defining words based on opinion of how language should be used Jeremiah makes $15 an hour working part-time at a local fast food restaurant. He pays approximately 11% in taxes on his earnings. If h is his hours worked, model his weekly after-tax wages as a function w(h) of hours worked. A boat travels west at a speed of 20 m/s across a river that is flowing south at 9 m/s. What is theresultant velocity of the boat? 6 A gun fires a shell at an angle of elevation of 30 with a velocity of 2 x 10 ms. What are the horizontal and vertical components of the velocity? What is the range of the shell? How high will the hall rise? 218k reber, a burki, n vizcaino reves, et al.: biomechanical evaluation of the stabilizing function of the atlantoaxial ligaments under shear loading: a canine cadaveric study. vet surg. 42:918-923 2013 24117887 The danube river flows through the cities of vienna and budapest on which continent?. One of your clients at wills trust and estate law pllc passed away his estate is worth $72,000 he leaves half to charity and 1/8 to each of his four children how much will each child receive