The total number of calories consumed by Ethan when eating French fries varies directly with the number of French fries that Ethan eats. Ethan eats 16 French fries and consumes 224 calories. How many French fries does Ethan eat if he consumes 406 calories?

Answers

Answer 1

Answer:

29 French fries

Step-by-step explanation:

Total number of calories consumed by Ethan when eating French fries varies directly as the number of French fries that Ethan eats

The first step is to calculate the constant k

No of calories= k × no of French fries

k = No of calories/No of French fries

k = 224/16

k = 14

Therefore the number of French fries eaten by Ethan if he consumes 406 calories can be calculated as follows

No of French fries= No of calories/k

= 406/14

= 29

Hence Ethan eats 29 French fries if he consumes 406 calories


Related Questions

Select all equations that have graphs with the same y-intercept.
A. y = 3x - 8
B. y= 3x -9
C. y= 3x + 8
D. y = 5x - 8
E. y = 2x - 8
F. y = 1/3x -8

Answers

A D E F all have the same y-int which is -8

Y=mx+b
B is the y intercept
M is the slope

Answer:

A, D, E, F

Step-by-step explanation:

They all have the same y-intercept -8.

The formula is like this y = mx + b

m = slope

b = y-intercept

x = input

y = output

can someone please help me with number 18 !! :(

Answers

Answer: The last one.

Step-by-step explanation:


What is the area of this tile?
3 in.
3 in.

Answers

9in^2. You times 3 by 3 to find the area

Answer:

9 in. i think

Step-by-step explanation:

please show work i just don’t understand the wording

Answers

Answer:

they won 52 games

they lost 19 games

the equation is  2x + 33= 71

Step-by-step explanation:

they played 71 games in total

say the amount of games they won is y

say the amount of games they lost is x

using the variables, you can form this equation:

y + x = 71

you also know that they won 33 more games then they lost.

so, y = x + 33

now, you can substitute y for x + 33 in the original equation

x + x + 33 = 71

combine like terms

2x + 33 = 71

subtract 33 from both sides of the equation

2x + 33 - 33 = 71 - 33

2x = 71 - 33

2x = 38

divide both sides of the equation by 2

2x/2 = 38/2

x = 38/2

x = 19

they lost 19 games.

now substitute 19 for x in the equation

y = x + 33

y = 19 + 33

y = 52

they won 52 games

Which equation does NOT represent a function?
O A. Y= 3x^2– 5
O B. x = y^2– 9
O C. Y = 12
O D. 3x + 4y = 6

Answers

C. Y=12

There’s no x variable

40= -1/3(9x+30)+2

Pls solve this in steps and explain

Answers

Answer:

-1/3 x 9x -1/3 x 30 + 2

-3x -10 +2

-3x - 8

Step-by-step explanation:

this is a distributive type of problem you distribute the -1/3 to the 9x and the 30 by distribute i mean multiply. if you dont know how to multiply this use the calculator but you multiply it by the 2 pairs of numbers in the parenthesis and then you just add the 2

Hope the answer helped!!!!!!

F(x) = 2x^3 + 4x^2 , find f(-3)

Answers

Answer:

Step-by-step explanation:

54

Help Me Please! And Hurry!

Answers

Answer:the answer is the last one

Step-by-step explanation:

The answer is the third one.

Please answer correctly.
Will give the brainliest!
Urgent!!!​

Answers

Answer:

11: 12/18 12: 4/16 13: A: 2/8 B: 6/8 C: 2/8

Step-by-step explanation:

Im pretty sure those are

what is 1 over 3 times 1 over 4?​

Answers

833/10000
this is the correct answer

Which system is independent and inconsistent? x-y+Z = 2 O x-y-Z=2 (x+y+Z = 2 x-y+z= 2 O X+y-Z=3 X-y-z=4 2x+2y + 2z=4 -X-y-Z=-2 X+y+z=2 x-y-Z = 2 X+Y-Z=3 -X+y+Z=4​

Answers

Answer: D

Step-by-step explanation:

if y= -8 when x= -2 whats x when y=32

Answers

Answer:

8

Step-by-step explanation:

Y) -8 x -4 = 32

X) -2 x -4 = 8

Answer:

X=8

hope this helps =3

sorry if im wrong

In class of 60 boys, there are 45 boys who play card and 30 boys who play carom. How many play both games​

Answers

Answer:

the answer is 40 boys

Step-by-step explanation:

Let's say there are x boys who play both cards and carrom.

We setup up an equation that involved all information given and x.

Boys who only play cards = 45-x

Boys who only play carrom = 20-x

Boys who play both = x

Add there together and you should get 60, which is the total number of students in the class.

(45-x)+(20-x)+x=60

65-x=60

x=5

Boys who only play cards=45-x=45–5=40

hope it helps you

Answer:

there are 15 boys who can play both games in the class.

What is the equivalent ratio to the ratio 4:6.how do I know the ratio is equivalent?

Answers

Since you asked, simply, to know how a ratio is equivalent to another.

Ratios are like fractions in the way that they can be multiplied and simplified. 1:2, for example, can also be 10:20, 5:10, etc. This is inherent to the way a ratio works - say, for every 1 person, there are two cheese slices. This means that when the group gets larger, so does the amount of cheese slices.

Now, to find an equivalent ratio. You can simplify 4:6 by finding the GCF (greatest common factor) of these two numbers - something you can divide both of them by evenly. In this case, the GCF is 2. We divide both 'sides' by 2, and we get a simplified ratio of 2:3. You can then multiply this by different numbers (ones that are logical and could reasonably lead you to an answer on your worksheet or whatnot) until you find an equivalent ratio.

Sara spent half of her allowance going to the movies. She washed the family car earned 6 dollars. What is her weekly allowance if she ended with 15 dollars?

Answers

The answer for this question would be 7

Answer:

18 dollars

Step-by-step explanation:

15-6=9

9x2 (double it because she spent half)18

So I'm practicing writing Standard and Slope Intercept equations. Can anyone help me on writing both equations if the points are (3,5) and (0,0)?​

Answers

Answer:

standard: 5x-3y=5

slope intercept: y=5/3x-5/3

Step-by-step explanation:

so standard form is: ax+by=c

(a must be positive)

slope intercept form is: y=mx+b

(m is the slope of the line that the two points form)

first, find the slope:

(y1-y2)/(x1-x2)

(5-0)/(3-0)

slope=5/3=m

to do slope intercept, b is the y-intercept

to find that plug in one of your pairs of numbers like so,

y=mx+b

0=5/3x+b

b=-5/3

now we have slope intercept form!!

y=5/3x-5/3

to do standard form:

first, take your slope intercept form; y=5/3x-5/3

then subtract 5/3x from both sides making:

-5/3x+y=-5/3

multiply everything by -3 to get rid of the fraction and the negative like so:

5x-3y=5

and boom! standard form!

I always prefer going from slope-intercept to standard because its easier but its your choice! I hope I helped you!! Please mark brainliest!! Have a supertastic day

Find the distance between the two points in simplest radical form.
(0, –4) and (-3,-1)

Answers

Answer:

3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (- 3, - 1)

d = [tex]\sqrt{(-3-0)^2+(-1+4)^2}[/tex]

   = [tex]\sqrt{(-3)^2+3^2}[/tex]

   = [tex]\sqrt{9+9}[/tex]

   = [tex]\sqrt{18}[/tex]

   = [tex]\sqrt{9(2)}[/tex]

    = [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Hey there!

Given;

The points are;(0,-4) and (-3,-1).

Use formula for distance between the two points.

[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

Put all values.

[tex]d = \sqrt{( { - 3 - 0)}^{2} + ( { - 1 + 4)}^{2} } [/tex]

Simplify to get answer.

[tex]d = \sqrt{9 + 9} [/tex]

[tex]d = \sqrt{18} [/tex]

[tex]d = 3 \sqrt{2} [/tex]

Therefore, the distance is 3√(2) units or 4.24 units.

Hope it helps...

Find the unit rate of buying a $36 shirt and getting another one for equal or lesser value for free

Answers

Answer:

each shirt would cost $13≤ unit rate <$36

Step-by-step explanation:

Question 19 please tysm for helping

Answers

Answer:

1

Step-by-step explanation:

just multiply across and youll get 72/72 and then you simplify to get 1

sorry if this is wrong haha

Answer:

simplified- 1

Multiplied-1

evaluate-1

Step-by-step explanation:

0.6 + 0.008 + 0.0007 in standard form?

Answers

Answer:

0.0687

Explantion:

0.0007

  0.008

       0.6 +

____________

   0.0687

How do you know if a girl like you and what is x+10 divided by 6 = 1

Answers

Answer:

x = -2/3

Step-by-step explanation:

x + 10 ÷ 6 = 1

Divide

x + 1 2/3 = 1

Subtract 1 2/3

x = -2/3

Also, as a girl, we do give some signs to people that we like, we start conversations with the person, we make eye contact and then look away (at least that what I do lol), flirts with you, agrees with you, wants to spend time with you, etc.

Dillon deposited 3/4 of his paycheck into the bank. If he deposited $46.50 into his bank account, what was the amount of the paycheck?

Answers

Answer:

$62

Step-by-step explanation:

Take $46.50 and divide it by 3 to get 1/4 of the paycheck

46.50/3 = 15.50

Then multiply 15.50 by 4 to get the whole pay check

15.50 x 4 = 62

A= 0.5bh. solve for b

Answers

Answer:b=2A/h. Hope this helps!

Step-by-step explanation:

help please!!! i’ll give brainiest!

Answers

Answer:   -26

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

Explanation:

Replace every x with -3

Then use the order of operations (PEMDAS) to simplify

y = -2x^2 + x - 5

y = -2(-3)^2 + (-3) - 5 ... x replaced with -3

y = -2(9) - 3 - 5

y = -18 - 3 - 5

y = -21 - 5

y = -26

Answer:

-26

Step-by-step explanation:

1. plug in -3 for all x's

  -2(-3)^2 + (-3) -5

2. combine like terms

  -2(-3)^2 - 8

3. pEmdas. deal with exponent first (remember: only affect the 3, since it's in parentheses! also when you square a negative number, it becomes positive!)

  -2(9) - 8

4. peMdas. multiply -2 and 9 next.

  -18 - 8

5. pemdaS. subtract 8 from -18.

  -18 - 8 = -26

With the equation 3z+3=2z+6

Answers

Answer:

z = -3

Step-by-step explanation:

Simplifying

3z + -3 = 2z + -6

Reorder the terms:

-3 + 3z = 2z + -6

Reorder the terms:

-3 + 3z = -6 + 2z

Solving

-3 + 3z = -6 + 2z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-2z' to each side of the equation.

-3 + 3z + -2z = -6 + 2z + -2z

Combine like terms: 3z + -2z = 1z

-3 + 1z = -6 + 2z + -2z

Combine like terms: 2z + -2z = 0

-3 + 1z = -6 + 0

-3 + 1z = -6

Add '3' to each side of the equation.

-3 + 3 + 1z = -6 + 3

Combine like terms: -3 + 3 = 0

0 + 1z = -6 + 3

1z = -6 + 3

Combine like terms: -6 + 3 = -3

1z = -3

Divide each side by '1'.

z = -3

Simplifying

z = -3

Answer:

=3z+3=2z+6

=3z-2z=6-3

=z=3

hope you like the answer

please mark the answer as brainliest

The area of a square patio is 196 square feet. How long is each side of the​ patio?

Answers

Each foot of the patio would be 49 feet because a square has four equal side lengths and 196/4=49. now don't put you'll whole faith in me, this is a good guess.

Answer: 14

Step-by-step explanation: the square root of 196 is 14

You are about to graph the linear equation y=1/4x+8 but you need to determine the scale of the x and y axes first. Select the best option for a scale for both the x-axis and y-axis (one of each). A) x scale of -5 to 5 B) x scale of -15 to 15 C) y scale of 0 to 15 D) y scale of -30 to 30 (10 POINTS AND BRAINLIST IF RIGHT WILL REPORT WRONG ANSWERS)

Answers

Answer:

  B) x scale of -15 to 15

  C) y scale of 0 to 15

Step-by-step explanation:

The change in y-value is 1/4 of the change in x-value, and the y-intercept is 8. That means a y-scale of -30 to 30 would not be well-utilized over a small range of x. (It would take an x-range of about 200 to make much use of that y-scale.)

An appropriate y-scale is one that has 8 near its middle. The corresponding x-scale is then roughly ±4 times half the y-scale. The closest choices are ...

  -15 ≤ x ≤ 15 . . . . choice B

 0 ≤ y ≤ 15 . . . . . . choice C

Yo i need help with this one and quick

Answers

Answer:

good luck

Step-by-step explanation:

Rachel lives in a home with a value of $195,000 and has a mortgage of $160,000. She has electronic equipment worth $2,325. She is paying off the equipment with a loan of $875. Her car, which she owns, is worth $9,300. She has $6,890 in a bank account and $1,437 on her credit card. She owes $4,800 in student loans. She has a piano worth $1,200. Construct a net worth statement to find Rachel's net worth

Answers

To Find :

Net worth of Rachel.

Solution :

Net worth is given by the (sum of all the assets she owns) -( total amount of loans she have ).

[tex]Net \ Worth=( 195000+160000+2325+9300+1437+1200)-(875+4800)\\\\Net \ Worth=\$\ 363587[/tex]

Therefore, net worth of Rachel is $ 363587.

Hence, this is the required solution.

( −15/20÷25/30 ) – ( −3/10 x 12 )

Answers

Answer:

2.7

Step-by-step explanation:

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