there are 6 grams of fat per serving of granola. each serving provides 180 calories. what percentage of these calories is from fat?

Answers

Answer 1

There are 6 grams of fat per serving in granola.
Each serving provides 180 calories.
There are 9 calories of fat in each gram.
The percentage of calories from fat in granola is?

30%

Related Questions

Bill weighs 120 lbs and is gaining ten lbs each month. Phil weighs 150 lbs and is gaining four lbs each month. How many months will it take for bill to wiegh the same as phil?

Answers

First, let's write two expressions, letting x= the number of months which have elapsed:

Bill: 120 + 10x
Phil: 150 + 4x

If we set them equal to each other, then solve for x, that will be the number of months where their weights equal each other:

120+10x = 150 + 4x [starting equation]
-120 -4x -120 -4x [ subtract 120 from both sides, and 4x from both sides, to isolate the term with the variable]

6x = 30 [divide both sides by 5]
5 5

x=6. They will weigh the same in six months.

Algebraic equations are equations that contain variables that are unknown. These unknown variables are represented by any letters of the Alphabet.

it will take 5 months for Bill to weigh the same as Phil.

Let's represent the number of months they gain extra weight as: m

Step 1

Bill weighs 120 lbs and is gaining ten lbs each month. The algebraic equation for the above statement is :

120 ib + 10 ib x m

120 + 10m ........Equation 1

Phil weighs 150 lbs and is gaining four lbs each month. The algebraic equation for the above statement is :

150 ib + 4 ib x m

150 + 4m ........Equation 2

Step 2

We equate equations 1 and 2 to each other

Equation 1 = Equation 2

120 + 10m = 150 + 4m

Collect like terms

10m - 4m = 150 - 120

6m = 30

Divide both sides by 6

6m/6 = 30/6

m = 5

Therefore, it will take 5 months for Bill to weigh the same as Phil

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Please help me with 18 and 19

Answers

19 is C I think and 18 is too blurry to see sorry

MARTIN CHARGES $10 FOR EVERY 5 BAGES OF LEAVES HE RAKES. LAST WEEKEND, HE RAKED 24 BAGES OF LEAVES. HOW MUH MONEY DID HE AERN

Answers

I think it would be $240 because you would multiply 10 ×24... at least I'm pretty sure

Two lines that do not intersect are parallel.alwayssometimesnever

Answers

its always. When you have parallel lines, the lines never touch.

does velocity or mass impact momentum more and why

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as the mass of an object increases the object will be gaining more velocity and the impact of the object would be that the momentum will be very high... also its pretty much common sense bc since the mass of the car is so heavy it makes it more difficult to stop. so for example To understand this think about stopping a car. If the breaks are applied gently, the momentum of the car is changed gradually over a long period of time and the force on you the passenger is slight. If you STOMP on the breaks, the momentum of the car changes immediately and the force on the passenger is great. The impulse is the same for the two situations but the time and force are different.

Final answer:

Both mass and velocity equally affect momentum in classical physics. However, at relativistic speeds, velocity has a more significant effect on momentum due to relativistic mass increase.

Explanation:

The impact of mass and velocity on momentum depends on the context of the object's motion. In classical physics, momentum is defined as the product of an object's mass and velocity, thus both mass and velocity equally influence momentum. However, for objects moving at relativistic speeds—approaching the speed of light—the effect of velocity on momentum is more pronounced due to the relativistic mass increase. To illustrate, a football player with greater mass has a larger impact due to having more momentum when moving at the same velocity as a player with less mass. In contrast, at relativistic speeds, an increase in velocity would result in an exponentially greater momentum, surpassing the effect of just increasing mass.

What is a security deposit

Answers

ecurity deposit is any money a landlord takes from a tenant other than the advance payment of rent. The security deposit serves to protect the landlord if the tenant breaks or violates the terms of the lease or rental agreement. It may be used to cover damage to the property, cleaning, key replacement, or back rent.

Any money a landlord takes from a tenant other than the advanced payment for rent . It's also protection for the landlord if the tenant violates the term of the lease agreement

There are 34 animals in a farmyard. some are cows and some are chickens. in total there are 104 legs. how many chickens are there?

Answers

There are 18 cows and 16 chickens.

Using a system of equations, the number of chickens that are there is calculated as: 16.

How to find how many chickens are there using system of equations?

Let's set up and solve the system of equations:

C + Ch = 34 (Total number of animals)

4C + 2Ch = 104 (Total number of legs)

Use a method like substitution or elimination to solve the system. Let's use elimination:

Multiply equation 1 by 2 to make the coefficients of 'Ch' in both equations the same:

2C + 2Ch = 68

Subtract equation 1 from equation 2:

(4C + 2Ch) - (2C + 2Ch) = 104 - 68

This simplifies to:

2C = 36

C = 18

Now that we know there are 18 cows, we can find the number of chickens using equation 1:

18 + Ch = 34

Subtract 18 from both sides:

Ch = 34 - 18

Ch = 16

So, there are 16 chickens on the farm.

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What is the value for ƒ(x) = 4²ˣ - 100 when x = 2 ?

Answers

The answer is: " 156 " .
__________________________________________
Given: f(x) = 4^(2x) - 100 ;
__________________________________________
When "x = 2" ;

f(2) =4^(2*2) - 100 = [4^(4) ] - 100 ;

= (4* 4 * 4 * 4) - 100 ;

= (16 * 4 * 4) - 100 ;

= (64 * 4) - 100 ;

= (256) - 100 ;

= 156 .
____________________________________

Answer:

f(x)=156

Step-by-step explanation:

If the line -4x+y=2 is tangent to the curve y=1/3x^3+c, find c

Answers

The slope of the line is 4. y = 4x + 2
The slope of the curve is y' = x^2
So when y' = 4, x^2 = 4 and x = + or - 2
c is irrelevant as it just raises or lowers the curve in a transformation mode.
Therefore c can be any real number.

Determine the axis of symmetry the vertex and the x-and y intercepts f(x)=x2+2x-3

Answers

the axis of symmetry is: x=-1
The x- and y intercepts is: x- intercept: (1,0),(-3,0)
y intercept: (0,-3)

Hope this helps!:)

the axis of symmetry is: x=-1
The x- and y intercepts is: x- intercept: (1,0),(-3,0)
y intercept: (0,-3)

It took Leo 3.5 hours to complete a route walking at a rate of 4.2 mph. How long would it take Leo to complete the same route walking at a rate of 2.8 mph?
plz give exact answer

Answers

Hope this helps! It's the equation in the middle of picture! Comment for any questions!

S = V*t
3.5 hrs * 4.2 mph = 14.7 mi
t = S/V
14.7 mi/ 2.8 mph = 5.25 hrs

If g(x) = 3x − 4, what is the value of g−1(g(13))?

A. 17/3

B. 35

C. x+4/3

D. 13

Answers

The function g(x) = 3x-4 is a linear function. Therefore the inverse does exist (which is also linear)

Because we have an inverse, this means we can use the rule
[tex]g^{-1}(g(x)) = x[/tex]

Replace x with 13
[tex]g^{-1}(g(x)) = x[/tex]
[tex]g^{-1}(g(13)) = 13[/tex]

The answer is choice D

The function g takes some input x from the *domain* and maps it to some value g(x) in the *range*. The function g^-1 takes some value g(x) from the *range* and maps it back to its associated value x in the *domain*. Essentially, when you feed an input through a function, and then feed that output through its inverse function, you get the original input back. So your answer here would be D. 13, since that was your original input.

If 15% of x is 42, what is x?

Answers

"x" is 100%, and 42 is 15% of that, so, what's "x"?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 42&15 \end{array}\implies \cfrac{x}{42}=\cfrac{100}{15}\implies x=\cfrac{42\cdot 100}{15}[/tex]

Write 15% as a fraction= 15/100= 3/20 times x=42 thats one equation.
3/20x=42
x= 42* 20/3 (reciprocal)
x=14*20
x=406

In a random sample of 55 newborn babies, what is the probability that 44% or fewer of the sample are boys. (use 3 decimal places). hint: you are asked to find p(p^^\^ < .44 ). to calculate this first find the z-score and then calculate the probability

Answers

0.053 The standard deviation of a binomial variable is sqrt(n*P*(1-P)) where n is the sample size and P is the probability of one of the outcomes. The sample size is 55 and we'll assume that both male and female are equally likely outcomes. standard deviation = sqrt(55*.5*.5) = 3.7081% 44% is 1.6181 standard deviations away from the mean of 50%. Looking this up on a standard deviation chart gives .0526 probability which we'll round to 0.053

If I put $1500 into my savings account in earned $180 of an interest at 4% simple interest how long was my money in the bank

Answers

Okay. There is $1,500 in your savings account and your annual interest is 4%. 1,500 * 4% (0.04) is 60. You earn $60 in interest each year. You earn $180 in interest total. 180/60 is 3. There. Your money has been in the bank for 3 years.

Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.

Given:
∠C, ∠F are rt.∠'s; AC = DF; BC = EF

Answers

We're given two right triangles (since we're told that angle C and angle F are right angles)

The two legs, ie the sides adjacent to the right angle, for the two triangles are also given to be congruent to one another
leg AC = leg DF
leg BC = leg EF

Because we have two pairs of legs congruent for these two triangle triangles, we use the Leg Leg Theorem which abbreviates to the LL Theorem, or simply LL.

This is why the answer is choice B) LL

Answer:

Step-by-step explanation:

Odyssey

If an employer spends $30,000 for weight-lifting equipment for the company gym. The company charges $100 a year to each employee who wants to buy a gym pass. The pass is for an unlimited amount of uses. There are 50 employees that work for this company. How many years will it take to pay off the weight-lifting equipment if half of the employees buy the gym pass each year?

Answers

half of 50 is 25

25 *100 = 2500 a year

30,000 / 2500 = 12

it will take 12 years

In english class,each student must select 4 short stories from a list of 5 short stories to read. how many different combinations of short stories could a student read? math

Answers

It has to be 20 different combination

Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's baggage is 35kg. Write an equation to determine the weight, w ww, of each of Carl's checked bags. Find the weight of each of his checked bags.

Answers

Let B equal how many bags

2+4b=35

35-2=33

33/4=8.25kgs

Answer:

15.5 kg (each)

Step-by-step explanation:

Let [tex]w[/tex] be the weight of each checked bag (there are 2). Thus, we can write, from the information given:

[tex]w+w+4=35\\2w+4=35[/tex]

Now we solve this equation for [tex]w[/tex] to find weight of each checked bag:

[tex]2w+4=35\\2w=35-4\\2w=31\\w=\frac{31}{2}\\w=15.5[/tex]

So, the weight of each of his checked bags is 15.5 kg.

Simplify 2y^2-7y-15/3y^2-8y-2 9y^2-1/4y^2-9 / y^2+3y-10/2y^2-9y+9

Answers

2y2−7y−‌153‌y2−8y−29y2−‌14‌y2−‌9y2‌+3y−‌102‌y2−9y+9=‌‌−1494‌y4−21y3+9y2−9y2‌=‌−149y4−84y3+36y2−364yy‌=‌−149y4−84y3+36y2−364y2

A clinical trial was conducted to test the effectiveness of the drug zopiclone for treating insomnia in older subjects. before treatment with zopiclone, 16 subjects had a mean wake time of 102.8 minutes. after treatment with zopiclone, the 16 subjects had a mean wake time of 98.9 minutes and a standard deviation of 42.3 minutes (based on data from cognitive behavioral therapy vs zopiclone for treatment of chronic primary insomnia in older adults," by silverstein et al., journal of the american medical association, vol. 295, no. 24). assume that the 16 sample values appear to be from a a normally distributed population and construct a 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments. what does the result suggest about the mean wake time of 102.8 minutes before the treatment

Answers

Final answer:

To construct a 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments, use the formula: Confidence interval = sample mean ± (critical value * standard deviation / square root of sample size).

Explanation:

To construct a 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments, we can use the formula:

Confidence interval = sample mean ± (critical value * standard deviation / square root of sample size)

Given that the sample mean after treatment with zopiclone is 98.9 minutes, the standard deviation is 42.3 minutes, and the sample size is 16, we need to find the critical value for a 98% confidence level. The critical value can be found using a t-distribution table or calculator.

Once the critical value is obtained, we can plug in the values into the formula to calculate the confidence interval estimate.

A certain elevator can hold no more than 2500 pounds. Define a variable and write an inequality for this situation

Answers

Let x represent the total weight in pounds of people and items. The inequality is x≤2500 for the elevator's weight limit.

Let's define the variable x to represent the weight in pounds of the people and items inside the elevator.

The inequality representing the situation would be:

x≤2500

This states that the weight x must be less than or equal to 2500 pounds for the elevator to safely operate within its weight capacity.

How many gallons is 15 percent of 55 gallons?

Answers

15% of 55 gallons is 46.75 gallons

Help

simply. this math problem

Answers

- 4 1/5 = -21/5 = -42/10

-13 1/10 = -131/10

-42/10 - -131/10=

-42/10 + 131/10 = 89/10 = 8 9/10

answer is A

−42/10+131/10=−42/10+131/10=−42+131/10=8910(Decimal: 8.9)Answer: A

Graph each line y -7 = x + 4

Answers

Given the the equation: y − 7 = x + 4 ;

We should rewrite the equation in "slope-intercept form" ; that is:

" y = mx + b " ;
______________________
in which: "y" remains an isolated variable on the "left-hand side" of the equation (with "no coefficients"—except the "implied coefficient of "1"
{since "1" , multiplied by any value, results in that same value} ;

"m" refers to the "slope" of the line;
and "m" is the coefficient of "x" ;

"b" refers to the "y-intercept" of the graphed (linear) equation; or more precisely, the value of "y" of the coordinate of the [ point on the graphed line of the equation—where the line crossed the "y-axis" ] ; that is; the "y-coordinate of the "y-intercept" ; that is, the value of "y" when "x = 0" ;
______________________________________________________
{Note that: "m" (the slope) may be a negative value; & that: "y" may be a negative value; as regard to the "slope-intercept form" equation:
that is:
"y = mx + b" . }.
______________________________________________________
So; given the equation:
______________________________________________________
" y − 7 = x + 4 " ;
______________________________________________________
Add "7" to each side of the equation;
to isolate "y" on one side of the equation;
→ {specifically, the "left-hand-side" of the equation} ;

and to rewrite the equation in "slope-intercept form" ; that is;
→ to rewrite the equation in the format:
" y = mx + b " ;
_______________________________________________________
As such: "y − 7 = x + 4 " ;
_______________________________________________________
→ Add "7" to each side of the equation:
_______________________________________________________
→ y − 7 + 7 = x + 4 + 7 ;

to get:
_______________________________________________________
  → y = x + 11 ;
_______________________________________________________
Now, let us graph the equation:
_______________________________________________________
Let us make a table:
_______________________________________________________
x ║ (x + 11) ║ y ║
_______________________________________________________
-20 ║ (-20 + 11) ║ -9 ║

-19 ║ (-19 + 11) ║ -8 ║

-18 ║ (-18 + 11) ║ -7 ║

-17 ║ (-17 + 11) ║ -6 ║

-16 ║ (-16 + 11) ║ -5 ║

-15 ║ (-15 + 11) ║ -4 ║

-14 ║ (-14 + 11) ║ -3 ║

-13 ║ (-13 + 11) ║ -2 ║

-12 ║ (-12 + 11) ║ -1 ║

-11 ║ (-11 + 11) ║ 0   ║

-10 ║ (-10+ 11) ║ 1 ║

-9 ║ (-9 + 11) ║ 2 ║

-8 ║ (-8 + 11) ║ 3 ║

-7 ║ (-7 + 11) ║ 4 ║

-6 ║ (-6 + 11) ║ 5 ║

-5 ║ (-5 + 11) ║ 6 ║

-4 ║ (-4 + 11) ║ 7 ║

-3 ║ (-3 + 11) ║ 8 ║

-2 ║ (-2 + 11) ║ 9 ║

-1 ║ (-1 + 11) ║ 10 ║

0 ║ (0 + 11) ║ 11 ║

1 ║ (1 + 11) ║ 12 ║

2 ║ (2 + 11) ║ 13 ║

3 ║ (3 + 11) ║ 14 ║

4 ║ (4 + 11) ║ 15 ║

5 ║ (5 + 11) ║ 16 ║
_________________________________________________

Now, we plot these points on a graph, and draw a line through these points; the slope is "1" ; since the equation is:
" y = x + 11 " ; Note: The slope, "m", is "1", since there is an "implied coefficient of "1" ; i.e. " y = 1x + 11 " .
___________________________________
Graph of: "y = x + 11 " ;
_____________________________________

Final answer:

To graph y - 7 = x + 4, rewrite the equation in slope-intercept form as y = x + 11. Plot the y-intercept at (0, 11), choose another value for x to find a second point, like (1, 12), and draw the line through these points to visualize the dependence of y on x.

Explanation:

To graph the line given by the equation y - 7 = x + 4, we first need to write it in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. So, we add 7 to both sides of the equation to get y = x + 11. This tells us the slope of the line is 1 (since for every increase by 1 in x, y increases by 1) and the y-intercept is 11 (this is where the line crosses the y-axis).

We can then plot the y-intercept on the graph by putting a point at (0, 11). To find another point, we can choose any value for x and solve for y. For example, if we choose x = 1, then y = 1 + 11 = 12, so another point on the line is (1, 12). By plotting these two points and drawing a line through them, we create the graph of the equation.

For more accurate results, plotting more points using various x values and connecting them would be ideal. This graphical representation illustrates the dependence of y on x.

what is the greatest common factor of 125, 50, 275

Answers

The GCF is 25. I hope this helps!

How to solve more complex problems involving angles the backwards Method

Answers

What are you asking?

Right trapezoid WXYZ is shown. What is the measure of angle WXY?

Answers

Answer: [tex]107^{\circ}[/tex]

Explanation: Here, WXYZ is a quadrilateral where, \angle WZY and \angle ZYX are right angles ⇒[tex]\angle WZY=\angle ZYX =90^{\circ}[/tex]

And, [tex]\angle XWZ= 73^{\circ}[/tex]

Since, The sum of all angles of a quadrilateral is equal to 360^{\circ}

Therefore,

[tex]\angle WXY+\angle XWZ+\angle WZY+\angle ZYX =360^{\circ}[/tex]

⇒[tex]\angle WXY+73^{\circ}+90^{\circ}+90^{\circ}=360^{\circ}[/tex]

⇒[tex]\angle WXY=360^{\circ}-253^{\circ}=107^{\circ}[/tex]

Answer:

C. [tex]107^{\circ}[/tex]

Step-by-step explanation:

We have been given an image of a right trapezoid and we are asked to find the measure of angle WXY.

We can see from our given trapezoid that angle XYZ and angle WZY measures 90 degrees.

Since we know that trapezoid is a quadrilateral and sum of all angles of a quadrilateral equals [tex]360^{\circ}[/tex], so we can set an equation as:

[tex]m\angle WXY+m\angle XYZ+m\angle YZW+m\angle ZWX=360^{\circ}[/tex]

Upon substituting the given measures of our trapezoid we will get,

[tex]m\angle WXY+90^{\circ}+90^{\circ}+73^{\circ}=360^{\circ}[/tex]

[tex]m\angle WXY+253^{\circ}=360^{\circ}[/tex]

[tex]m\angle WXY+253^{\circ}-253^{\circ}=360^{\circ}-253^{\circ}[/tex]

[tex]m\angle WXY=107^{\circ}[/tex]

Therefore, the measure of angle WXY is 107 degrees and option C is the correct choice.

Round 256 and 321 ( need to when rounding in the hundreds place do we not change the entire number?

Answers

Is it a decimal? If you mean 2.56 and 3.21, they are 2.6 and 3.2 rounded to the nearest tenth. To the nearest whole number, they would both be 3.

If they are whole numbers, rounded to the hundreds place would be 300 for both. Rounded to two digits would be 260 and 320, respectively.

Please clarify what you mean.

if y=9 When x= -3 find x when y=6

Answers

Answer:

fawfafw

Step-by-step explanation:

awfafafawfa

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