18. 54 grams of a certain brand of breakfast cereal contain 190 calories. Let g
represent grams of cereal and c represent calories. Identify the type of variation,
find the constant, and write an equation to represent the relationship between
grams and calories.

Answers

Answer 1

Answer:

The relation is  c = 3.519g.

Step-by-step explanation:

This is direct variation.

c = kg     where k is the constant of variation.

Substituting the given values:

190 = k * 54

so the constant of variation is:

k = 190/54 = 3.519   to nearest thousandth,

and  the equation is:

c = 3.519g.


Related Questions

A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends: The figure shows a cylinder of height 16 inches and diameter 6 inches. What is the approximate inside volume of the pipe? 113 cubic inches 452 cubic inches 410 cubic inches 254 cubic inches

Answers

Answer:

so add them all up and divide by 2

Step-by-step explanation:

so the anser is 11.24

Answer:

D.  254 cubic inches

Step-by-step explanation:

5x+1/3 = 7 help me, thanks!

Answers

Answer:

5x+1/3=7

5x+1=7×3

5x+1=21

5x=21-1

5x=20

x=20/5

x=4

Answer:
x=4/3
Step-by-step explanaion:
=> 5x=7-1/3
=>5x=20/3
=>x=4/3

A scatter plot is shown:

A scatter plot is shown. Data points are located at 0 and 1, 1 and 1.5, 2 and 2, 3 and 2.5, 4 and 3, 5 and 3.5, 6 and 4, 7 and 4.5, 8 and 5.
What type of association does the graph show between x and y? (4 points)

A: Linear positive association
B: Nonlinear positive association
c: Linear negative association
D: Nonlinear negative association

Answers

Answer:

A is the answer hope this helps

What is the area of this triangle:

Answers

Answer:
28 ft
Step-by-step explanation:
The equation is base × height ÷ 1/2
Therefore this would be your equation and solution -

7 × 8 = 56
56 ÷ 2 = 28

A company is replacing cables with fiber optic lines in rectangular casing bcde. if segment de = 3 cm and segment be = 3.5 cm, what is the smallest diameter of pipe that will fit the fiber optic line? round your answer to the nearest hundredth. quadrilateral bcde inscribed within circle a 3.91 cm 4.24 cm 4.61 cm 4.95 cm

Answers

Answer:

4.61

Step-by-step explanation:

I saw another question that had 3 and 3 and that question's answer was 4.24, so i multiplied the 0.5 and got 4.61

please help! What fractional part of one semicircle does the labeled angle represent? Express
your answer as a fraction in simplest terms. Then, express the labeled angle in radian
measure,
100'

Answers

Let's consider what the problem wants us to find:

fractional part covered by the labeled angleangle in radians

Let's find the fractional part:

  ⇒ the fractional part is equal:

       [tex]\frac{degree-covered-by-angle}{total-angle} =\frac{100}{180} =\frac{2*2*5*5}{2*2*3*3*5} =\frac{5}{3*3} =\frac{5}{9}[/tex]      

 Answer: The angle 100 degrees covers 5/9 of a semicircle.

Let's find the angle measure in radians:

⇒ we know that [tex]2\pi[/tex] radians are equal to 360 degrees

   ⇒ to convert any degree to radians, you must multiply [tex]\frac{\pi }{180}[/tex]

       so [tex]100*\frac{\pi }{180} =\frac{100\pi }{180} =\frac{10}{18} \pi =\frac{5}{9} \pi[/tex]

Answer: The angle 100 degrees in radians is [tex]\frac{5}{9} \pi[/tex]  which in terms of [tex]\pi[/tex] is

5/9

Hope that helps!

Please help me with this one!

Answers

It would be C because no other would have worked.

The volume of a right cone is 3675π units^3 3 . If its radius measures 15 units, find its height.

Answers

The height of the right cone given its volume and its radius is 49 units.

What is the height of the right cone?

Volume of a cone = 1/3(πr²h)

Where:

π = 22/7r = radius h = height

Height = volume / 1/3(πr²)

3675π / (1/3 x π x 15²) = 49 units

To learn more about the volume of a cone, please check: https://brainly.com/question/13705125

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Isosceles triangle ABC contains angle bisectors segment BF, segment AD, and segment CE that intersect at X.

If segment BA is congruent to segment BC and m∠BCA = 48°, what is m∠CXA?

132°
96°
66°
24°

Answers

Answer:

The measure of angle CXA is 134°

Step-by-step explanation:

* Lets explain how to solve the problem

- Triangle ABC is an isosceles triangle where AB = BC

∵ AB = BC

- The base angles in the isosceles triangle are congruent

∴ m∠BAC = m∠BCA

∵ m∠ BCA = 46° ⇒ given

∴ m∠ BAC = 46°

- The sum of the measures of the interior angles in any triangle is 180°

∵ m∠BAC + m∠BCA + m∠ABC = 180°

- Substitute the values of angle BAC and BCA in the equation above

∴ 46 + 46 + m∠ABC = 180

∴ 92 + m∠ABC = 180

- Subtract 92 from both sides

∴ m∠ABC = 88°

- BF , AD , CE are bisectors segments of angles B , A , C and they are

 intersected at point X

∵ CE bisects ∠BCA

∵ X ∈ CE

∴ m∠XCA = 1/2 m∠BCA

∴ m∠XCA = 1/2 (46) = 23°

∵ AD bisects ∠BAC

∵ X ∈ AD

∴ m∠XAC = 1/2 m∠BAC

∴ m∠XAC = 1/2 (46) = 23°

- In Δ AXC

∵ m∠XAC = 23° ⇒ proved

∵ m∠XCA = 23° ⇒ proved

∵ m∠CXA + m∠XAC + m∠XCA = 180° ⇒ interior angles of Δ

Substitute the values of angles XAC and XCA

∴ m∠AXC + 23 + 23 = 180

∴ m∠CXA + 46 = 180

- Subtract 46 from both sides

∴ m∠CXA = 134°

* The measure of angle CXA is 134°

Answer: I also have this question and because everybody is saying 134 I believe it is 132. So I hope this helps.

P.S If possible please mark it as the brainliest. thanks

Consider theline plot below. What is the median of the data. What is the mean

Answers

I KNOW I KNOW IT IS 3.5 BECAUSE I LEARNED THIS A FEW DAYS AGO :D IN MY MIDDLE SCHOOL EDGE

Six books need to be placed on a shelf.
You randomly arrange the books on the
shelf from left to right.

Answers

Explanation:

For

6

books, that means we have

6

spots to put them in.

Our first book has

6

spots it can be in.

Our second book will now have

5

, since one is taken up by the first spot.

The next will have

4

, then

3

,

2

, and

1

. Thus, we can model the number of arrangements as

6

5

4

3

2

1

=

6

!

=

720

Therefore, we have

720

ways of arranging

6

books on the shelf.

Hope this helps!

Help me please-math-

Answers

Answer:

Its C

Step-by-step explanation:

if 1 killogram = 1,000 grams then all you will have to do is divide 8,885 by 1,000

which is 8.885

Answer: the correct answerr is choice c .

Step-by-step explanation

8.885. HOPEITHELPSYOU.

Which expression has the same value as -8+(-7)? F-8-(-7) G -8+7 H -7-(-8) J -7-8​

Answers

Answer:

Choice J

[tex]-8 + (-7) = -7-8[/tex]

Answer:

The answer is Option J

Step-by-step explanation:

(-8) + (-7) = (-8) – 7 = (-15)

(F) (-8) – (-7) = (-8) + 7 = (-1)

(G) (-8) + 7 = (-1)

(H) (-7) – (-8) = (-7) + 8 = 1

(J) (-7) – 8 = (-15)

Thus, Option (J) has the same value as (-8) + (-7).

can you solve it I need this respond pless

Answers

Complementary is when the sum of both angles = 90 (right angle)
Supplementary is when sum of both angles = 180 (flat angle)

So,

90-56 = 34
180-56=124

I NEED HELP FAST OR ILL FAIL
Draw a graph of kinetic energy against mass using the table. To plot a point, use the circle tool. To draw a line between points, use the line tool. To move a point or line, use the select tool. Once you’ve finished drawing the line, describe its shape in a text box on the graph.



here is the table Mass of Student
(kilograms) Kinetic Energy
(joules) Constant Speed
(meters/second)
27 121.5 3
36 162.0 3
45 202.5 3
54 243.0 3
64 288.0 3
73 328.5 3

Answers

Answer:

Step-by-step explanation: I failed to get this right for yall XD

The equation of line is y = ( 1/2 ) mv² , where m is the mass of the student and y is the kinetic energy

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let y represent the kinetic energy and mass is m

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

The equation for kinetic energy is K = ( 1/2 )mv²

The constant speed v = 3 m/s

So , the linear equation is

y = { 121.5 , 162 , 202.5 , 243 , 288 , 328.5 }

x = { 27 , 36 , 45 , 54 , 64 , 73 }

The slope m = y / x

On simplifying , we get

m = 121.5 / 27 = 4.5

And , the equation of line is

y - 121.5 = 4.5 ( x - 27 )

Adding 121.5 on both sides , we get

y = 4.5x

Now , plotting the points on the graph , we get a straight line

Hence , the equation of line is solved and the graph is plotted

To learn more about equation of line click :

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A bouncy ball is dropped from a height of 16ft and always rebounds of the distance of the previous fall.
What distance does it rebound the 5th time?
What is the total distance the ball has travelled after this time?

Answers

16x5=80 cause if it bounces 16 times 5 times then

PLEASE HELP, I'LL GIVE BRAINIEST!!!
What is b?

Answers

Answer:

B is 6

Step-by-step explanation:

When y is zero the x on the other side will represent B, because that would be the Y-intercept

Can someone help me
Please

Answers

9z

hope it reall helps...!!!

I think its d! I am pretty sure

A motor center carries out servicing of cars, which includes the replacement of parts.
Three service technicians can each do 5 services per day . Normally they work Monday to Friday, but
sometimes one technician will also work on Saturday.
Each car requires 1 air filter, 1 oil filter, 1 quantity of engine oil and 4 spark plugs.
The parts are purchased in bulk, and come in boxes containing the quantities shown below.

Air filter............. 8 per box
Oil filter ............ 20 per box
Engine oil ......... 4 per box
Spark plugs ...... 80 per box


How many boxes of each item is it necessary to buy each week, if the motor center is to carry out the maximum possible number of services?

Answers

Answer:

1 box of spark plugs, 3 air filter boxes, 1 oil filter box, and 5 boxes of engine oil

Step-by-step explanation:

the max amount of services that can be done is about 20 per week, including the one on Saturday. so u just multiply the amount needed by the 20 possible services and check to see the amount that comes in each box, then get as many as needed

Joe does 25 sit ups each day. How many set ups does he do in three weeks? Remember, one week has seven days.

Answers

Answer:

525 sit-ups

Step-by-step explanatiSince there are 7 days in a week, and there are 3 weeks, you can multiply 7 * 3 = 21 to find out how many days Joe is doing situps. Next, you need to multiply the number of situps per day by the number of days: 25 * 21 = 525. Joe will do 525 situps in 3 weeks.

Hope this helps! :)

(3x + 5)(4x^2 + 8x + 40)

Answers

Step-by-step explanation:

= ( 3x + 5 ) ( 4x² + 8x + 40 )

= 3x ( 4x² + 8x + 40 ) + 5 ( 4x² + 8x + 40 )

= 12x³ + 24x²+ 120x + 20x² + 40x + 200

= 12x³ + 24x² + 20x² + 120x + 40x + 200

= 12x³ + 44x² + 160x + 200

Answer:

12x^3 +44x^2 +160x +200

Step-by-step explanation:

Distribute:

(3x+5)(4x^2 +8x+40)

3x(4x^2 +8x+40) +5(4x^2 +8x+40)

Then it would be:

(12x^3 +24x^2 +120x) + (20x^2 + 40x +200)

therefore the soloution is:

12x^3 +44x^2 +160x +200

Saritza will find the area of the rectangle by tiling it with unit squares. The sides: 5/6 and 2/3. The question: Which is the appropriate side length for the unit square to tile Saritza’s rectangle to find the area? The answers: 1/9 yard
1/6 yard
1/3 yard
1/2 yard.

Answers

A rectangle is a 2-dimensional shape with equal opposite sides. The appropriate side length for the unit square to tile Saritza’s rectangle to find the area will be 1/9 yard

How to find the area of a rectangle

A rectangle is a 2-dimensional shape with equal opposite sides.

Area of a rectangle = Length * width

Given the following parameters:

length = 5/6  yard

width = 2/3

Find the area

Area = 5/6 * 2/3
Area = 5/9 square units

The appropriate side length for the unit square to tile Saritza’s rectangle to find the area will be 1/9 yard

Learn more on area of rectangle here: https://brainly.com/question/2607596

x to the second power - 5x + 6

Answers

Answer:

−5

Step-by-step explanation:

−5x+6

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax

n

 is nax

n−1

.

−5x

1−1

Subtract 1 from 1.

−5x

0

For any term t except 0, t

0

=1.

−5

Evaluate

6−5x

PLEASE HELP 88 POINTS Alejandro volunteers on the weekend at the Central Library. As a school project, he decides to record how many people visit the library, and where they go. On Saturday, 463 people went to The Youth Wing, 474 people went to Social Issues, and 335 went to Fiction and Literature. On Sunday, the library had 1100 total visitors. Based on what Alejandro had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number.

Answers

Answer:

401 people

Step-by-step explanation:

First, find the percentage of students that went to the Youth Wing on Saturday, this is 463/463+474+335

464/1272

=36.4779874%

Multiply it now by the Sunday visitors, 0.364779874 x 1100

= 401.2578616

=401 people

Answer: 400

Step-by-step explanation:

If f(x)=6x+1 and g(x)=2x^2-5x, what is f+g

Answers

Answer:

2x²+x+1

Step-by-step explanation:

you are adding the functions  together so it is collecting like terms

        6x+1

+ 2x²-5x      

 2x²+x+1

Find the volume of a pyramid with a square base, where the area of the base is 7.5\text{ ft}^27.5 ft
2
and the height of the pyramid is 4.6\text{ ft}4.6 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

17.9 m^3

Step-by-step explanation:

Help!!! Find the value of
x
xx in the isosceles triangle shown below.

Answers

You have to use Pythagoras’ theorem to find the hypotenuse
Which is root 4^2 + 3^2 = 5

please answer with all the steps and you’ll get brainliest

Answers

Answer:

x = -1

Step-by-step explanation:

You have:

[tex]\frac{3}{2x-1} =\frac{1}{x}[/tex]

Multiply both sides by 'x' to get:

[tex]\frac{3x}{2x-1} =1[/tex]

Multiply both sides by (2x-1) to get:

[tex]3x=2x-1[/tex]

Subtract 2x on both sides to get:

[tex]x=-1[/tex]

find the values of a and b such that x squared-4x+9= (x+a) squared+b

Answers

Answer:

a = - 2, b = 5

Step-by-step explanation:

expand the right side using FOIL and compare the coefficients of like terms on both sides.

(x + a)² + b

= x² + 2ax + a² + b

compare terms with x² - 4x + 9

coefficients of x- term

- 2a = 4 ( divide both sides by - 2 )

a = - 2

compare constant terms

a² + b = 9

(- 2)² + b = 9

4 + b = 9 ( subtract 4 from both sides )

b = 5

Sue’s bank account has a balance of $899.83 before she starts spending money. she makes the following transactions: transaction cost ($) rent 353.76 video game 32.79 bike maintenance 60.26 jacket 55.62 rug 80.40 night out 35.77 sue is considering splitting the cost of a new tv with her roommate. her share would be $305.22. can sue afford this? a. yes, she can make the purchase and have money left over. b. yes, but doing so will clear out her account. c. no, making that purchase will overdraw her account. d. no, she is overdrawn already. please select the best answer from the choices provided a b c d

Answers

Answer:

Sue cannot afford to split the cost of a new TV as she only has $281.23 in her bank account after transactions. She has to contribute $302.22 and she doesn't have enough money.

Explanation:

Item                                                        Debit Credit  Balance

Bank balance before transactions                     899.83

Rent                                                 353.76            546.07

Video game                                           32.79            513.28

Bike maintenance                                   60.26           453.02

Jacket                                                   55.62           397.40

Rug                                                           80.40            317 .00

Night out                                           35.77            281.23

Sues bank balance after all the transactions is $281.23

Step-by-step explanation:

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