Find the value of y when x = 4 in the equation 1/7(3x + y) = x Show your work help

Answers

Answer 1
if x = 4 then the equation is

1/7(3*4 +y) = 4

1/7(12 +y) = 4

1/7 * 12 = 12/7
1/7*y = 1/7y

12/7 + 1/7y =4

4 - 12/7 = 2 2/7

2 2/7 ÷ 1/7 = 16

so y = 16





Related Questions

can anyone help me with number 10??

Answers

Answer:

y=−4/3x+10

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the slope-intercept form  y=mx+b to find the line perpendicular to  3x−4y=−2.

PLEASE help with number 5!!

Answers

Answer:

5/12

Step-by-step explanation:

1. Convert 1/4 to 3/12, then convert 1/3 to 4/12

2. Then add 3/12 and 4/12 together, which would be 7/12

3. Then subtract 12/12 by 7/12 which would be 5/12

                                         So, 5/12 is your answer.

                                                Hope this helps

choose the equation of the horizontal line that passes through the point (-2,-1)
A) y= -1
B) y= -2
C) x= -2
D) x= -1

Answers

Answer:

y =-1

Step-by-step explanation:

We are given a point (-2,-1)

Also given that a horizontal line passes through the above point.

We have to find the equation of the horizontal line.

We know that any straight line in xy plane is of the form

y = mx+b where m=slope of line and b = y intercept.

Here given that the line is horizontal and hence the angle it makes with x axis is 0.

Slope of line= m = tan 0 =0

Hence equation of line using point slope form is

y-y1 = m(x-x1) .  Here m =0 and (x1,y1) = (-2,-1)

Hence equaiton of line is

y+1 =0(x+2)

Or y =-1

So option A is right answer.

(5 ×5×5)×-1= simplify

Answers

Answer: -125


Step-by-step explanation:

(5*5*5)*-1

(25*5) *-1

125 * -1

-125

Answer:

-125

Step-by-step explanation:

5*5*5 = 125

125*-1 = -125

Apply the distributive property to factor out the greatest common factor.
75+20=

Answers

Answer:

5(15+4)

Step-by-step explanation:

The greatest common factor is the greatest number that will divide two values. We have two values 75 and 20. Each has numbers which multiply together to give the number. We need to find the highest value or most in common they share. Each has the factors:

75: 1,3,5,15,25, 75

20: 1, 2, 4, 5, 10, 20

Both have 5 and this is the GCF. So we write the expression int he form 5(___+___). We divide each term by 5 to find the corresponding factor.

75/5= 15

20/5=4

5(15+4)


Answer:

5(15+4)

Step-by-step explanation:

5

15+

and (4)

add them all together.

ms. guerra picked 32 students to help her decorate her door. she picked 8 more girls than boys. what is the experimental probability of ms guerra picking a girl? express your answer as a fraction in simplest form.

Answers

Answer:

5/8

Step-by-step explanation:

First we need to figure out how many girls  and boys there are.

g = girls

b = boys

g = b+8  ( eight more girls than boys)

b = g-8

There are 32 students)

g+b =32

Substitute b = g-8 into the equation

g + (g-8) = 32

Combine like terms.

2g-8 = 32

Add 8 to each side.

2g -8+8 = 32+ 8

2g = 40

Divide by 2

g = 20

There are 20 girls

The experimental probability of picking a girl is

girls/ total

20/32 = 5/8  

A company is testing and comparing two lightbulb designs. The box plots show the number of hours that each lightbulb design lasts before burning out. Which statement is best supported by the information in the plots?

Answers

Answer:

Design B bulbs will likely last longer than design A bulbs

Step-by-step explanation:

The B box  part spans higher numbers than the A box  and  the median of B bulbs is higher than median of the A bulbs.

Answer:

Design B bulb will likely last longer than design A bulbs

Step-by-step explanation:

Got it right on IM

A grocer can buy strawberries for $1.38 per pound. write an equation relating c, the cost, and p, the pounds of strawberries.

Answers

Answer:

1.38p=C

Step-by-step explanation:

each pound is $1.38 and pounds is p they have to equal to C, the total.

how do you calculate circumference from area

Answers

use the formula of a circle or pi times radius r squared = Area  then use the formula for the circumfrence of a circle which is two times pi time radius r = circumfrence then isolate r in the formula (for area)

sqrt(A/pi) then multiply the raduis r by 2*pi to get the circumference

C = 2*pi*sqrt(A/pi)


Answer:

See below

Step-by-step explanation:

Given the area A you can find the radius of a circle.

A = πr^2

so r^2 = A / π

and r = the positive square root of A/π.

Having found the radius r you can calculate the circumference C  using

C = 2πr.

A bag has six balls labeled
,
,
,
,
, and
.
One ball will be randomly picked, and its letter will be recorded as the outcome.
Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event of choosing a letter from
to
.
If there is more than one element in the set, separate them with commas.

Answers

Answer with explanation:

Sample space--

A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.

i.e. the sample space while flipping a coin is: {H,T}

The sample space while tossing a six-sided die is: {1,2,3,4,5,6}

Here it is given that:

A bag has six balls labeled:  A,B,C,D,E,F

One ball will be randomly picked, and its letter will be recorded as the outcome.

        This means that the sample space is given by:

                      Sample space={ A,B,C,D,E,F}

Now, when the event is choosing a letter from   D to F.

             Then the sample space is:

                      Sample space= {D,E,F}

Final answer:

The sample space of a bag with balls labeled A to F is {A, B, C, D, E, F}. For the event of choosing a letter from A to E, the outcomes are {A, B, C, D, E}.

Explanation:

To answer the student's question about the sample space and the event of choosing a letter from A to E, we must first understand the concept of sample space in probability. The sample space is the set of all possible outcomes of a probability experiment. In this case, since the bag contains six balls labeled A, B, C, D, E, and F, the sample space describing all possible outcomes is {A, B, C, D, E, F}.

Now, the event of choosing a letter from A to E simply means finding all the outcomes within the sample space that meet the criteria of being letter A, B, C, D, or E. Therefore, the outcomes for this event are {A, B, C, D, E}.

Learn more about Sample Space here:

https://brainly.com/question/30206035

#SPJ3

What three numbers multiply to equal 240

Answers

Answer:

8,3, and 10 or 6,4, 10, or 12, 2, and 10

Step-by-step explanation:

You just multiply each of the 3 numbers to equal 240

There are plenty of triples of numbers (x,y,x) that satisfy x*y*z = 240. Some integer candidates include (1,1,240), (1,2,120), (2,5,24), (3,5,16), (4,6,10) and many more. If you don’t restrict your attention to integers, there are even more candidates.

Hope This Helps!!!

-Austint1414

Solve by elimination. 3x+7y=48 5x-7y=-32

Answers

3x + 7y = 48

5x - 7y =-32

8x = 16

 x = 2

3(2) +7y = 48

7y = 42

y = 6

find the perimeter and area of a right triangle with legs of 24 feet and 41.57 feet and a hypotenuse of 48 feet

Answers

Answer:

Perimeter≈113.57 and Area= A≈498.84

Step-by-step explanation:

Ok so the Perimeter is approximately 113.57. the formula of a perimeter of a right triangle is P=a+b+√a²+b²

so since a and b are the leg in the right riangle then the value we are gonna be working with are 24 and 41.57

so basically the equation states this: P=24+41.57+√24²+41.57²

so 24+41.57 is 65.57

24²=576 and 41.57²=1728.1(rounded) add that and you get 2304.1. the square root of 2304.1 is 48.00104166 or just 48. add that to 65.57 and you get 113.57


Now for area.

the area of right triangle is ab/2

so 24times 41.57 divided by 2

24 times 41.57= 997.68

divide that by 2 and you get 498.84


Final answer:

The perimeter of the triangle is 113.57 feet and its area is 498.84 square feet.

Explanation:

The perimeter of a triangle is the sum of its sides: 24 feet + 41.57 feet + 48 feet = 113.57 feet. The area of a right triangle is calculated by using the formula 1/2*base*height. In this case the base is 24 feet and the height is 41.57 feet, so the area would be 1/2*24*41.57 = 498.84 square feet.

Learn more about Triangle Perimeter and Area here:

https://brainly.com/question/32188608

#SPJ2

What number completes the following sequence
48, 24, 12, 6

Answers

Answer:

3

Step-by-step explanation:

48 - 24 = 24

24 - 12 = 12

12 - 6 = 6

6 - 3 = 3

Thats the pattern


Plzzz mark brainlest and thank me

3






3x2=6

6x2=12

12x2=24


4z
27
+x5
y14

If x, y and z each represent a different digit from 0 to 9, what is the value of (x)(y)(z)?

Answers

Final answer:

By analyzing the equation and using provided options, we find that the right values for the digits x, y, and z are 1, 2, and 3 respectively. When multiplied together, the product (x)(y)(z) equals 6.

Explanation:

The mathematical problem you've presented is akin to a simple addition of numbers, but with a twist: the digits x, y, and z each represent different unknown digits. Our task is to determine the value of the product (x)(y)(z) given the vertical addition:

 4z
 27
+x5
y14

Looking at the addition, we can see that when we add the second digit of the second row (2) with the first digit of the third row (x), the result must be a digit with a 1 carried over because there is a 1 in the hundred's place of the result. That means 2 + x has to be equal to 10 or 11 (since x is a digit, the highest value for x could be 9).

Using the option provided (d) x. 1, y. 2, z. 3, we can see that the column with z's would sum to 7 (4z), the column with x's would sum to 11 (since 1 + x = 11, x = 1), and the column with y's would sum to 14 (since y would then be 2) which fits the pattern of the problem provided. Therefore, the values for x, y, and z are 1, 2, and 3 respectively.

The value of (x)(y)(z) is thus 1 × 2 × 3 = 6.

Final answer:

To find the value of (x)(y)(z), we need to solve the equation 4z/27 + x5/y14 = 0. By substituting different values for x, y, and z, we find that (x)(y)(z) = 6.

Explanation:

To find the value of (x)(y)(z), we need to solve the given equation:

4z/27 + x5/y14 = 0

Since x, y, and z each represent a different digit from 0 to 9, we can try different values to solve for (x)(y)(z).

Let's start with the first term: 4z/27. The only possible value for z is 2, because 4z/27 must give us a rational number. So, let's substitute z = 2 into the equation:

4(2)/27 + x5/y14 = 0

8/27 + x5/y14 = 0

Next, let's solve for the second term: x5/y14. To make this term equal to 0, we can set x = 1 and y = 3. Substituting these values into the equation:

8/27 + 15/314 = 0

Now, let's find the value of (x)(y)(z) = (1)(3)(2) = 6.

SOS!!! thank u so much im struggling real hard over here

Answers

Answer:

I was able to do 6-8 but 9 I got stumped on as well.

Step-by-step explanation:



Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park:

Quadrilateral FGHI is shown on the coordinate plane with coordinates F at negative 6, negative 1. G at negative 1, negative 1. H at negative 2, negative 4. I negative 7, negative 4. Point A is at 3, 8 and point D is at 1, 2.
In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane. If two corners of the trail are at point A(3, 8) and point D(1, 2), what is another point that could represent a corner of the trail?

a) (10, 8)
b)(6, 8)
c) (8, 8)
D) (13, 8)

Answers

Answer:

The correct option is D.

Step-by-step explanation:

From the given figure it is noticed that the vertices of the parallelogram are F(-6,-1), G(-1,-1), H(-2,-4) and I(-7,-4).

In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane.

Distance formula

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]FI=\sqrt{(-7-(-6))^2+(-4-(-1))^2}=\sqrt{1+9}=\sqrt{10}[/tex]

[tex]AD=\sqrt{(1-3)^2+(2-8)^2}=\sqrt{4+36}=2\sqrt{10}[/tex]

The scale factor is

[tex]\frac{AD}{FI}=\frac{2\sqrt{10}}{\sqrt{10}}=2[/tex]

Therefore the length of sides of image is twice of preimage.

The vertices A and D are image of F and I respectively.

The length of FG is

[tex]FG=\sqrt{(-1-(-6))^2+(-1-(-1))^2}=\sqrt{25}=5[/tex]

Therefore the length of AB is 10 units and length of CD is also 10 units.

The point which is on horizontal distance of 10 units from A(3,8), is B(13,8).

The point which is on horizontal distance of 10 units from D(1,2), is C(11,2).

Therefore vertices B and C are image of G and H respectively. The another corner points are (13,8) and (11,2). Option D is correct.

Answer: D) (13, 8)

:)))

DIstributive property to match equivalent expression 7(-4-x)

Answers

Answer:

-28-7x

Step-by-step explanation:

You mulitply 7 by -4 to get -28 and then mulitply 7 by -x to get -7x


Solve for x: 2x − 2 > 4x + 6.
x < −4
x > −4
x < 4
x > 4

Answers

Answer:

The answer is the first choice, x < −4.

Step-by-step explanation:

Let's solve your inequality step-by-step.

2x−2>4x+6

Step 1: Subtract 4x from both sides.

2x−2−4x>4x+6−4x

−2x−2>6

Step 2: Add 2 to both sides.

−2x−2+2>6+2

−2x>8

Step 3: Divide both sides by -2.

x<−4

Answer:

<-4

Step-by-step explanation:

took tye test

What pattern to you see in exercise 7?

Answers

Is there a picture to go with this or...?

help me solve for the right triangle

Answers

Answers:

B = 50

a = 10.9

c = 17.0

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

Explanation:

This is a right triangle, so the acute angles are complementary, meaning they add to 90

B+40 = 90

B+40-40 = 90-40

B = 50

Also, because this is a right triangle, we can use trig ratios to compute the missing sides

tan(angle) = opposite/adjacent

tan(40) = a/13

a = 13*tan(40)

a = 10.908

a = 10.9

cos(angle) = adjacent/hypotenuse

cos(40) = 13/c

c*cos(40) = 13

c = 13/cos(40)

c = 17.0

note: make sure your calculator is in degree mode


Select all that apply.

A point located at (5, -2) undergoes two transformations. Its image is located at (-5, 2). What were the transformations?


The point was reflected over the y -axis and translated up 4 units.
The point was translated right 10 units and reflected over the x -axis.
The point was translated left 10 units and up 4 units.
The point was reflected over the y -axis and translated down 4 units.


__________________________________________________

Point A , located at (-2, 4), is translated down 6 units. What are the coordinates of A '?

1. (-8, 4)
2. (-8, -2)
3. (-2, -2)
4. (-2, 4)
__________________________________________________

Point B , located at (-4, -7), is reflected over the y -axis. What are the coordinates of B '?

(-4, 7)
(4, -7)
(4, 7)
(-4, -7)

Answers

Answer:

The point was reflected over the y -axis and translated up 4 units.

The point was translated left 10 units and up 4 units.

_________________________________________________________

3. (-2,-2)

_________________________________________________________

B' = (4,-7)


Answer:

B and F

Step-by-step explanation:

How do you write n+-m in standard form

Answers

Answer:

n - m

Step-by-step explanation:

It will be written as n - m. Only 1 sign in the middle is needed to be written.

m - - n = m + n

m - + n = m - n

 Solve the system of equations by the substitution method. Then use the solution to evaluate the expression 2x(−3+y).
6x+2y+1=13+10y−x
5x=y+26−2x
The value of the expression is....

Answers

[tex]\left\{\begin{array}{ccc}6x+2y+1=13+10y-x\\5x=y+26-2x\end{array}\right\\\\\left\{\begin{array}{ccc}6x+x+2y-10y=13-1\\5x+2x-26=y\end{array}\right\\\left\{\begin{array}{ccc}7x-8y=12&(**)\\y=7x-26&(*)\end{array}\right\\\\\text{substitute}\ (*)\ \text{to}\ (**)\\\\7x-8(7x-26)=12\\7x-(8)(7x)-(8)(-26)=12\\7x-56x+208=12\\-49x=12-208\\-49x=-196\qquad\text{divide both sides by (-49)}\\\boxed{x=4}\\\\\text{put the value of x to}\ (*)\\\\y=7(4)-26\\y=28-26\\\boxed{y=2}\\\\\boxed{x=4\ and\ y=2}[/tex]

[tex]\text{Put the values of x and y to the expression}\ 2x(-3+y):\\\\2(4)(-3+2)=8(-1)=-8\\\\Answer:\ \boxed{\text{The valuie of the expression is -8}}[/tex]

Mark noticed that his bus is late to school 5% of the time. He wants to design a spinner he can use to simulate the situation and determine the probability that the bus will be late three times next week. How should Mark divide his spinner to best simulate the situation?

Answers

The more painstaking way would be to divide the spinner up into 100 pieces, and shade in 5 of those pieces. Since 5/100 = 0.05 = 5% this means that landing on any of the 5 pieces has a 5% chance of happening.

A better way to do this is to use 20 slices instead. This works because 5/100 reduces to 1/20 (divide top and bottom by 5). Instead of shading in 5 slices, Mark should shade in 1. If you use a calculator, you should see that 1/20 = 0.05 = 5% as well.

The second option is more practical but even then a spinner with 20 sections is still a lot. I think it might be better for Mark to pull random numbers out of a hat, or let the computer generate random numbers.

Mark should divide the spinner in 20 equal sized sections.

What is probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

The more painstaking way would be to divide the spinner up into 100 pieces, and shade in 5 of those pieces.

Since 5/100 = 0.05 = 5% this means that landing on any of the 5 pieces has a 5% chance of happening.

A better way to do this is to use 20 slices instead.

This works because 5/100 reduces to 1/20 (divide top and bottom by 5). Instead of shading in 5 slices, Mark should shade in 1.

If you use a calculator, you should see that 1/20 = 0.05 = 5% as well.

The second option is more practical but even then, a spinner with 20 sections is still a lot.

It is better for Mark to pull random numbers out of a hat, or let the computer generate random numbers.

Hence he should divide the spinner in 20 equal sized sections.

Learn more about probability click;

https://brainly.com/question/11234923

#SPJ3

Which of the following is a trinomial?

A) c2 + c + 6
B) c2 − 16
C) −8c
D) c3 + 4c2 − 12c + 7

Answers

Answer:

[tex]A) c^2 + c + 6[/tex]

Step-by-step explanation:

We have been given four choices out of which we need to select the choice which is trinomial.

Trinomial means polynomial having three terms.

A) c2 + c + 6

It has 3 terms.

B) c2 − 16

It has 2 terms.

C) −8c

It has 1 term.

D) c3 + 4c2 − 12c + 7

It has 4 terms.

We see that only choice A) has three terms.

Hence correct choice is [tex]A) c^2 + c + 6[/tex]


A theater club so 300 tickets for school play

On the first day 60% of the 300 tickets were sold. how many tickets were sold the first day ?

Answers

Answer:

180

Step-by-step explanation:

Simply multiply 300 by 60% or 300x0.60=180

Answer:

180 tickets sold the first day

Step-by-step explanation:

To find out how many tickets were sold the first day, we multiply the percent by the total number of tickets

tickets sold the first day = .60 * 300

                                        = 180

multiply
your answer should be in a monomial standard form

(7h^3)(3h^7)

Answers

Answer:

21 h^10

Step-by-step explanation:

(7h^3)(3h^7)

Lets multiply

7*3  h^3 h^7

When the bases are the same , we add the exponents (x^a * x^b) = x ^ (a+b)

21 h^(3+7)

21 h^10

[tex]Use\ a^n\cdot a^m=a^{n+m}\\\\(7h^3)(3h^7)=(7)(h^3)(3)(h^7)=(7)(3)(h^3)(h^7)=21h^{3+7}=\boxed{21h^{10}}[/tex]

PLEASE HELPPP

In the system of equations, which variable would it be easiest to solve for?

2x+4y=26

3x+y=9


A.The easiest to solve for is x in the first equation.

B.The easiest to solve for is y in the first equation.

C.The easiest to solve for is x in the second equation.

D.The easiest to solve for is y in the second equation.

Answers

The answer is D because you can multiply the second equation by -4
Multiply the bottom equation by 4 and subtract them

In a rectangle, the ratio of the length to the width is 5 : 2. The length of the rectangle is 13.875 feet greater than the width. What are the perimeter and the area of the rectangle?

Answers

Answer:

Perimeter = 64.75 ft

Area = 213.91 ft

Step-by-step explanation:

13.875 ÷ 3 = 4.625

4.625 x 5 = 23.125 ft (This is the length of the rectangle)

4.625 x 2 = 9.25 ft (This is the width of the rectangle)

(23.125 x 2) + (9.25 x 2) = 64.75 ft (Perimeter)

23.125 x 9.25 = 213.90625 ft, or 213.91 ft if rounded to 2 d.p (Area)


The perimeter of the rectangle is approximately 64.75 feet and the area is approximately 213.91 square feet.

How to solve for the area and perimeter

[tex]\[L = W + 13.875\][/tex]

We can use these two equations to solve for the values of \(L\) and \(W\).

First, let's use the ratio to set up an equation:

[tex]\[\frac{L}{W} = \frac{5}{2} \implies L = \frac{5}{2}W\][/tex]

Next, substitute this expression for L into the second equation:

[tex]\[\frac{5}{2}W = W + 13.875\][/tex]

Solving for w

[tex]\[\frac{3}{2}W = 13.875\][/tex]

[tex]\[W = \frac{2}{3} \times 13.875\][/tex]

[tex]\[W = 9.25\][/tex]

Now, use this value of \(W\) to find the length \(L\):

[tex]\[L = \frac{5}{2} \times 9.25 = 23.125\][/tex]

Now that we have the dimensions, we can calculate the perimeter and area:

1. perimeter of a rectangle with length \(L\) and width \(W\) is given by:

[tex]\[P = 2(L + W)\][/tex]

Substituting the values:

[tex]\[P = 2(23.125 + 9.25) \approx 64.75 \text{ feet}\][/tex]

2. Area of a rectangle is given by:

[tex]\[A = L \times W\][/tex]

Substituting the values:

[tex]\[A = 23.125 \times 9.25 \approx 213.91 \text{ square feet}\][/tex]

So, the perimeter of the rectangle is approximately 64.75 feet and the area is approximately 213.91 square feet.

Read more on area and perimeter here https://brainly.com/question/19819849

#SPJ3

Other Questions
$64 jacket; 20% discount [plzzzzz help me ] how does the structure of an enzyme help with its function? (there's a diagram and the substrate fits perfectly into the enzyme)A. The enzyme's shape fits its substrate's shape, thus allowing the enzyme to catalyze the appropriate reaction. B. The enzyme's active site can change shape in order to match any substrates in need of a catalyst. C. The enzyme is much larger than its substrate, thus allowing the catalyzed chemical reaction to take place inside the enzyme. D. The enzyme's substrate is a mirror image of the enzyme, thus allowing it to reverse any reactions initiated by the enzyme. given : MN is an angle bisector of (angle)JMKprove : m(angle)JMN=1/2m(angle)JMK(i need all the reasons) An account earns 1.5% interest compounded annually. The balance after 2 years is $8241.80. What is the principal? How to find the measure of a triangle? What is the solution to the system of equations graphed below? In a mixture of argon and hydrogen, occupying a volume of 1.18 l at 894.6 mmhg and 44.1oc, it is found that the total mass of the sample is 1.25 g. what is the partial pressure of argon? How would I study for a Biology Test tomorrow that I am struggling in? I am doing Plants and Cells Unit and I want to pass this but its just so hard to understand everything, any way to study for this more efficiently? Maria is late for school sometimes because she is not a morning person. If Maria is at school from 8:00 a.m. to 3:00 p.m. every day and volunteers at an animal shelter on the weekends, when would be the best time for her to study?A. before schoolB. right after schoolC. during the weekendD. before she goes to bed why is a control necessary to have when designing an experiment? a paragraph comparing the devil and tom walker and the princess and the frog how far will a rubber ball fall on 20 seconds? The fossils found in the different layers of Earth are listed below.Layer 1: Fossil A (oldest fossil)Layer 2: Fossil BLayer 3: Fossil CLayer 4: Fossil D (youngest fossil)Which is the topmost layer? Layer 1 Layer 2 Layer 3 Layer 4 Which number(s) below would NOT in scientific notation and why? 4.5 x 10^4 6 x 10^7 12.5 x 10^3 4.2 x 10^-8 2.355 x 10^6 0.45 x 10^3 What is the temperature of a gas that is expanded from 3.75 L at 37 degrees Celsius to 5.6 L? The Good Fats For years, the government-sponsored Food Pyramid advised us not to eat saturated fats. They even gave us a tiny triangle atop the pyramid to be a visual reminder to go sparingly on the butter, lest you develop heart disease. In March 2014, new information appeared in the Annals of Internal Medicine. The report declared that eating less saturated fat did not lower one's risk of heart disease. In fact, people who endeavored to eliminate "fat" may have replaced healthy fats (such as butter) with sugars and refined carbohydrates. These actually cause heart disease and obesity. Indeed, obesity in America has been on a steady rise since the "low-fat" diets have become popular. A professor of nutrition at Harvard advises that a healthy diet should consist of natural, unprocessed foods. These types of foods take more time to digest. Therefore, they deliver energy slowly into the bloodstream. Including healthy, saturated fats such as butter boosts satiety, or the ability to feel full. Coconut oil is another saturated fat that helps boost the good HDL cholesterol. The body needs cholesterol to make vitamin D. Plant-based coconut oil also contains antioxidants. These are good for stimulating and strengthening the immune system. Coconut oil is a solid at room temperature. So, cooks are finding it to be a good substitute for hydrogenated and partially-hydrogenated soybean oils for making pie crusts. Soybean oils contain high levels of omega 6 fatty acids. Doctors believe that elevated cholesterol levels increase a person's chance of heart disease. However, studies now show that the liver produces extra cholesterol as a defense mechanism to protect against inflammation. To reduce cholesterol levels, one must reduce inflammation by consuming more omega 3 fatty acids. Passage 2 The Bad News The American Heart Association (AHA) has recently published a report advising that coconut oil is not as good as once believed. They say coconut oil increases LDL cholesterol, which is the "bad" cholesterol that causes heart disease. Coconut oil contains about 90% saturated fat. This is even higher than butter. The results of the studies also showed that consuming more canola oil reduces cholesterol levels. The experts are recommending the consumption of more corn and soy oil, which contain high levels of omega 6 fatty acids. LDL cholesterol is made up of either large, fluffy particles that do not stick to blood vessels or small, sticky particles that do clog vessels. When carbohydrates are combined with fats, the sticky LDL particles increase. So, eating a dinner of steak (saturated fat) and potatoes (carbohydrates) would combine to increase sticky LDL particles. This could cause plaque to build up in the arteries, leading to cardiovascular disease. There has never been a study that looks at a diet high in saturated fats, such as coconut oil, and low in carbohydrates. Some doctors report that patients who eat a diet high in saturated fats, but low in carbohydrates have very good cholesterol levels. The report by the AHA has been published as a "presidential advisory," and the peer-reviewed scientific data was funded by several pharmaceutical companies. These companies create cholesterol-lowering medicine. The Canola Oil Council also helped fund the study. 4 Which statement best expresses the central idea of "The Good Fats"? A. Eating a balanced diet without saturated fat is good for the body because it reduces cholesterol in the body. B. Coconut oil is solid at room temperature and can be used as a substitute for unhealthy, processed oils. C. Saturated fats like coconut oil and butter are part of a healthy diet and do not make one feel full quickly. D. Eating saturated fat is better than following a diet that is low in fat but high in sugar and processed foods. Reset Next Question Triangles ABC and DEF are similar. Find the lengths of the sides of DEF, if AB=2 cm, BC=3 cm, CA=4 cm, DE=1.5 cm. Which of the following is not an indication of a chemical change?formation of a precipitateformation of a gasthe container gets hotthe substance dissolves Literal Equations c-b/a=1 why do scholars feel like Mexico's Gulf Coast was an unusual site for the establishment of a large civilization? Steam Workshop Downloader