By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 86 mg of cholesterol. By eating 2 eggs and 1 cupcake, a child consumes 566 mg of cholesterol. How much cholesterol is in each item?

Answers

Answer 1

Answer:

cholesterol in egg= 273 mg

cholesterol in cupcake = 18 mg

cholesterol in slice of pizza = 9 mg

Step-by-step explanation:

Given data:

1 egg , 1 cupcake , 1 slice of pizza  = 300mg

3 cupcakes , 4 slices of pizza = 90mg

2 eggs , 1 cupcake = 564mg

Let egg be x , let cupcake be y and let pizza be y

x + y + z = 300 (equation 1)

0x + 3y + 4z = 90 (equation 2)

2x + y + 0z = 564 (equation 3)

Using equation 1 and equation 2

x + y + z = 300 (Multiply equation by 3)

0x + 3y + 4z = 90

3x + 3y +3z =900

0x +3y +4z = 90  (Subtracting the equations)

3x - z = 810  (equation 4)

Using equation 2 and equation 3

0x + 3y + 4z = 90

2x + y + 0z = 564 (Multiply equation by 3)

0x + 3y + 4z = 90

6x +3y + 0z = 1692 (Subtracting the equations)

-6x +4z =-1602  (equation 5)

Solving equation 4 and equation 5

3x - z = 810  therefore z =3x -810

Substituting z into equation 5

-6x +4(3x - 810) =-1602  

-6x + 12x - 3240 = -1602

6x = -1602+3240

6x = 1638

x = 273

Substituting x into z = 3x - 810

z = 3(273) - 810

z = 819-810

z = 9

Using equation 1 to find y

x + y + z = 300

273 + y + 9 = 300

282 + y = 300

y = 300-282

y = 18


Related Questions

Pat said that the amount of money he has in his pocket is greater than or equal to $5.75 but less than $13.00. Which number line shows the amount of money Pat might have?

Answers

Draw a line that starts at 5.75 and ends at 12.99

The circumference of a circle measures 11.277 ft.
What is the measure of the diameter of this circle?

Answers

Answer:

3.590ft

Step-by-step explanation:

We know what the circumference of the circle is, and we need to find its diameter. Therefore, we need to find an equation that links the two together.

Well, what comes to mind is the fact that the circumeference, [tex]c[/tex], is equal to [tex]\pi[/tex] multiplied by the diameter, [tex]d[/tex]. We can express this like so:

[tex]c = \pi d[/tex].

In this scenario, we know what [tex]c[/tex] is, so we need to rearrange the formula to make [tex]d[/tex] the subject. Dividing both sides by [tex]\pi[/tex] will accomplish this, and gives us:

[tex]\frac{c}{\pi} = d[/tex].

So if we divide the circumference by [tex]\pi[/tex], we will find the diamater. Well,

[tex]\frac{11.277}{\pi} = 3.58958...[/tex]

and so to 3 decimal places we get the answer

[tex]d = 3.590\text{ft}[/tex].

Classify the triangle with the given side lengths as 1,13,13

Answers

Answer:

isosceles triangle

Step-by-step explanation:

A polling company is trying to estimate the percentage of adults that consider themselves happy. A confidence interval based on a sample size of 180 has a larger than desired margin of error. The company wants to conduct another poll and obtain another confidence interval of the same level but reduce the error to one-third the size of the original sample. How many adults should they now interview

Answers

Answer:

They should interview 1620 adults now.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

In this question:

z wont change, neither will [tex]\sigma[/tex]

We want to increase n as such the margin of error is reduced to one third.

We have that the margin of error is inversely proportional to the square root of the size of the sample, which means that for the margin of error to be reduced to one third, the sample size has to be multiplied by [tex]3^2 = 9[/tex]. So

180*9 = 1620

They should interview 1620 adults now.

Circle 20% of these lollipops there are 10 lollie pops

Answers

Answer:

20% of 10 is 2

Step-by-step explanation:

Its 2. Hope this helps

solve 5y - 2 = 3y + 14​

Answers

Answer: y=8

Step-by-step explanation:

Answer:

Y = 8

Step-by-step explanation:

A flying disc was originally marked at 5$ and has been sold at $3.50. What was the percent of discount?

Answers

Answer:

30%

Step-by-step explanation:

Percentage discount

[tex] = \frac{discount}{original \: price} \times 100\% \\ = \frac{5 - 3.50}{5} \times 100\% \\ = 30\%[/tex]

☆ Discount= original price -selling price

A cruise cost £4500 and you have to pay a 30% deposit. What is the deposit and what is the balance.

Answers

Answer:

$5350

Step-by-step explanation:

What is greater than 525.06 but less than 525.6?

Answers

The answer is 525.60 love

hello twngan sus puntos!!​

Answers

Answer:

2029jjajvdjsjsvdghsjsjbs

Answer:

Answer:

Step-by-step explanation:

Thanks for free points!

What is 8z + x -5 - 9z + 2 written in simplest form

Answers

Answer:

Hope this helps :D

Step-by-step explanation:

The simplified form of the given expression is x-z-3.

The given expression is 8z + x -5 - 9z + 2.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is written in simplified form is as follows

Group the like terms

8z - 9z + x -5 + 2

= -z+x-3

= x-z-3

Hence, the simplified form of the given expression is x-z-3.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

Worl
10.
9. A bottle contains 3.5 liters of water. A second
bottle contains 3,750 milliliters of water. How
many more milliliters are in the larger bottle
than in the smaller bottle?
Math Explain how units of length and​

Answers

Answer:

250 milliliters

Step-by-step explanation:

3.5 liters = 3.5 × 1000 milliliters=3500milliliters

3750-3500 = 250 milliliters

What is the area of this figure?

Enter your answer as a decimal

Answers

Answer:

176.00 cm^2

Hope you got the answer.

|x|=5

Solve for x

|x| = -5

Solve for x

Answers

Answer:

Step-by-step explanation:

For |x|=5, x can be either 5 or -5.

For |x|=-5, absolute value cannot be negative, so it is no solutions.

como se llama la figura geométrica que tiene 6 caras 12 aristas 8 vertises​

Answers

Answer:

hexaedro

ahí esta la respuesta

f(x) =
2x2 + 4x – 3
- 22 – 5x – 2
Find f'(x) and f''(a).
f'(x) =
PENER
-
SURRETH
HER
f''(x) =
THE

Answers

9514 1404 393

Answer:

  f'(x) = (-6x² -14x -23)/(x² +5x +2)²

  f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³

Step-by-step explanation:

The applicable derivative formula is ...

  d(u/v) = (v·du -u·dv)/v²

__

  f'(x) = ((-x² -5x -2)(4x +4) -(2x² +4x -3)(-2x -5))/(-x² -5x -2)²

  f'(x) = (-4x³ -24x²-28x -8 +4x³ +18x² +14x -15)/(x² +5x +2)²

  f'(x) = (-6x² -14x -23)/(x² +5x +2)²

__

Similarly, the second derivative is the derivative of f'(x).

  f''(x) = ((x² +5x +2)²(-12x -14) -(-6x² -14x -23)(2(x² +5x +2)(2x +5)))/(x² +5x +2)⁴

  f''(x) = ((x² +5x +2)(-12x -14) +2(6x² +14x +23)(2x +5))/(x² +5x +2)³

  f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³

8) The relationship between a figure and it's scale copy is proportional.
True or False?

Answers

Step-by-step explanation:

i think True

99% wrong 1% right

Name:
1. Dane deposited $5,000 in a savings account. The amount in the account after 1, 2, and 3 years is shown
below.
$5,240, $5,480, $5,720, ...
Which function represents the total amount in her account at the end of t years?
A. M(t) = 5000 + 2400
B. M(t) = 5240 +2400
C. M(t) = 5000t + 240
D. M(t) = 5240t + 240

Answers

Answer:

I dont kn0w try g00gle searches

Answer:

B. M(t)= 5240+240t

Step-by-step explanation:

cause

Help pls I will give brainliest

Answers

Answer:

Least:  14%

Next:  0.15

Next:  1/5

Next:  24%

Greatest:  27/100

Step-by-step explanation:

If you put them all into decimal form they are:

.14, .15, .20, .24, .27

Radon is a naturally occurring gas and is the second leading cause of lung cancer in the United States. It comes from the natural breakdown of uranium in the soil and enters buildings through cracks and other holes in the foundations. Found throughout the United States, levels vary considerably from state to state. Several methods can reduce the levels of radon in your home, and the Environmental Protection Agency ecommends using one of these if the measured level in your home is above 4 picocuries per liter. Four readings from Franklin County, Ohio, where the county average is 9.32 picocuries per liter, were 5.2, 13.8, 8.6, and 16.8.

Required:
a. Find the mean step-by-step.
b. Find the standard deviation step-by-step.

Answers

Answer:

a) mean =  11.1

b) Standard Deviation = 5.191

Step-by-step explanation:

Given the data in the question;

x = 5.2, 13.8, 8.6, and 16.8

sample n = 4

so;

            x            ( x - mean)²

          5.2             34.81

          13.8            7.29

          8.6             6.25

          16.8            32.49

∑        44.4            80.84

a) Mean

Mean = total sum of the sample divided by the sample size

mean = ∑x / n

we substitute

mean = 44.4 / 4

mean =  11.1

b)

Standard Deviation is the Square root of variance;

Variance = ∑(x-mean)² / n - 1

we substitute from the above table

Variance =  80.81 / 4 - 1

Variance =  80.81 / 3

Variance =  26.94667

now since Standard Deviation is the Square root of variance;

Standard Deviation = √Variance

Standard Deviation = √26.94667

Standard Deviation = 5.191

What is the solution to the inequality below?
−8m ≥ 40

Answers

divide each term by -8 and simplify

2. m < -5

Find the values of x and y
help me plz!!

Answers

Answer:

24=5y+3y

8y=24

y=3

x+x+9y+5=90

2x+9(3)+5=90

2x=58

x=29

Step-by-step explanation:

Please answer I really need help

Answers

Answer:

8

Step-by-step explanation:

its somethings difficult

12 gallons to 36 gallons. Percent change?

Answers

I guess it is 200%

Hope it is correct

Answer:

200.00%

Step-by-step explanation:

Here i will show you how to calculate the Percent Change from 12 to 36.

Basically, we are trying to find the change from 12 to 36 in terms of percent. We do this in three steps:

1) Find the difference between 12 and 36 as a number.

2) Divide the result from Step 1 by the starting number 12.

3) Multiply the result you got on step two by 100 to get it in terms of percent.

this can be shotenn sown with a simple formulatso, to find the percent change from 12 to 36, we use this formula:

((Y-X)/X)*100 = Percent Change

X is the starting number 12, and Y is the ending number 36 that it changed to. When we enter these numbers into the formula, we get:

((36-12)/12)*100 = 200.00%

there fore you answer is

200.00%

Although five of John's answers were incorrect, 90% of his answers were correct. How many questions did John answer in all?

Answers

Answer:

John answered 50 questions.

Step-by-step explanation:

Although five of John's answers were incorrect, 90% of his answers were correct.

This means that 5 is 100 - 90% = 10% of the total number of questions, n. So

[tex]0.1n = 5[/tex]

[tex]n = \frac{5}{0.1}[/tex]

[tex]n = 50[/tex]

John answered 50 questions.

PLS HELP !!! Dwight has a total of 55 nickels and quarters that total $8.75. How many of each coin
does he have?

Answers

Answer:

25 nickle and 30 quarters

Step-by-step explanation:

30 time .25 is 7.5 and 25 times .05 is 1.25 so yea thats it

Answer:

25 nickels 30 quarters

Step-by-step explanation:

Another challenge is accurately estimating the travel time for each
flight. Having minimal error in these estimations allows airlines to keep
their schedules accurate and passengers happy.
2. An airline estimates that the flight from Washington, D.C., to
Boston takes 1 hour and 27 minutes. Calculate the percent
error for each actual flight time. Show your work.
a. 1 hour and 11 minutes
b. 2 hours

Answers

B DEFINITELY not B JS ANSWERING SRRY

(1) The ratios 18:3 and 6:1 are equivalent. Why?

Answers

Answer:

Because if you take 18:3 and divide both sides by 3, you will get 6:1

Step-by-step explanation:

Because 18:3 divided by 3 on both sides equals 6:1, also 6:1 times 3 on both sides equals 18:3.

Given a population mean of 27.1 with a standard deviation of 8.4 and a sample size of 10, answer these questions:


Part A: What is the standard deviation of the sampling distribution of x? Show your work

Part B: what does the sample size need to be if you want the standard deviation of the sampling distribution of c to be2.8? Show your work.

Answers

Answer:

Step-by-step explanation:

The mean of the sampling distribution is equal to the mean of the population. Therefore, we use the standard deviation of the sampling distribution of the means formula. 

                  The standard deviation of the sampling distribution of the means is 2.656. 

With a new population standard deviation of 2.8, the sampling size, n, is 9. 

a car is 180 inches long. a truck is 75 percent longer than thr car. how long is the truck

Answers

Answer:

315

Step-by-step explanation:

180+((75/100)x180)=

180+(3/4 x 180)=

180+135=

315

Answer:

315 inches

Step-by-step explanation:

180 × .75 = 135

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