(04.02 LC) The graph below shows the numbers of cups of apple juice that are mixed with different numbers of cups of lemon-lime soda to make servings of apple soda: What is the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda? (5 points)

(04.02 LC) The Graph Below Shows The Numbers Of Cups Of Apple Juice That Are Mixed With Different Numbers

Answers

Answer 1

Answer:

Ratio of the number of cups of apple juice to the number of cups of lemon lime soda is 6 : 1

Step-by-step explanation:

From the graph attached,

Number of cups of apple juice (A) is proportional to the number of cups of lemon lime soda (L).

A ∝ L

A = kL

Here 'k' is the proportionality constant.

k = [tex]\frac{A}{L}[/tex]

  = [tex]\frac{6}{1}[/tex]

Therefore, ratio of the number of cups of apple juice to the number of cups of lemon lime soda is 6 : 1.


Related Questions

Chloe is remodeling her living room and wants to put down new wood floors. The wood floors cost $8.50 per square foot to buy and install. If her living room has an area of 156.5 square feet, how much will the new floors cost?

Answers

Answer:

1 330,25

Step-by-step explanation:

8.50x156,6=1330,25

Just divide it 156.5 dived by 8.50=?

18 divided by 4
Please help

Answers

Answer:

Step-by-step explanation: 4.5

Answer:

4.5

Step-by-step explanation:

18/4=4.5

hope this helps :3

if it did pls mark brainliest

Use Newton's method to approximate the given number correct to eight decimal places. 4√73

Answers

Answer:34.17601498.

Step-by-step explanation:

Newton's method of approximation is used to approximate values.

The value of [tex]\mathbf{4\sqrt{73}}[/tex] is 34.17601498

Let the number be x.

So, we have:

[tex]\mathbf{x = 4\sqrt{73}}[/tex]

Square both sides

[tex]\mathbf{x^2 = 1168}[/tex]

Subtract 1168 from both sides

[tex]\mathbf{x^2 - 1168 = 0}[/tex]

Express as a function

[tex]\mathbf{f(x) = x^2 - 1168 }[/tex]

Set x1 to 73/2.

So, we have:

[tex]\mathbf{x_1 = \frac{73}{2} = 36.5}[/tex]

Where:

[tex]\mathbf{x_{n+1} = x_n- \frac{x_n^2-1168}{2x_n}}[/tex]

So, we have:

[tex]\mathbf{x_{1+1} = x_1- \frac{x_1^2-1168}{2x_1}}[/tex]

[tex]\mathbf{x_{2} = x_1- \frac{x_1^2-1168}{2x_1}}[/tex]

This gives

[tex]\mathbf{x_{2} = 36.5- \frac{36.5^2-1168}{2 \times 36.5}}[/tex]

[tex]\mathbf{x_{2} = 34.25}[/tex]

[tex]\mathbf{x_{3} = x_2- \frac{x_2^2-1168}{2x_2}}[/tex]

[tex]\mathbf{x_{3} = 34.25- \frac{34.25^2-1168}{2 \times 34.25}}[/tex]

[tex]\mathbf{x_{3} = 34.1760948905}[/tex]

[tex]\mathbf{x_{4} = x_3- \frac{x_3^2-1168}{2x_3}}[/tex]

[tex]\mathbf{x_{4} = 34.1760948905- \frac{34.1760948905^2-1168}{2\times 34.1760948905}}[/tex]

[tex]\mathbf{x_{4} = 34.1760149814}[/tex]

[tex]\mathbf{x_{5} = x_4- \frac{x_4^2-1168}{2x_4}}[/tex]

[tex]\mathbf{x_{5} = 34.1760149814- \frac{34.1760149814^2-1168}{2\times 34.1760149814}}[/tex]

[tex]\mathbf{x_{5} = 34.1760149813}[/tex]

The values of x4 and x5 are the same up till the 8th decimal place.

Hence, the value of [tex]\mathbf{4\sqrt{73}}[/tex] is 34.17601498

Read more about Newton's method of approximation at:

https://brainly.com/question/14279052

Is the following relation a function?

Yes
or
No

Answers

Answer:

no

Step-by-step explanation:

Answer:

I think that it is yes but not sure

I'll brainlist!!

Plant A is 18 inches tall after one week, 36 inches tall after two weeks, 56 inches tall after three weeks. Plant B is 18 inches tall after one week, 36 inches tall after two weeks, 54 inches tall after three weeks. Which situation represents a proportional relationship between the plants?
Height and number of weeks?

Answers

Answer:

There are 2 given situations:

Plant A and Plant B growing in 3 weeks. Find which plant grows proportional

Plant A

=> 1st week = 18 inches

=> 2nd week = 36 inches

=> 3rd week = 56 inches

=> 18 + 18 = 36 + 20 = 56

Thus, this is not proportional

Plant B

=> 1st week = 18 inches

=> 2nd week = 36 inches

=> 3rd week  = 54 inches

=> 18 + 18 = 36 + 18 = 54 inches

thus, the growth of this plant is proportional

4 hours worked for $12; 7 hrs worked for $28 are the pair of ratios equal?

Answers

Answer:

no they're not equal

Step-by-step explanation:

you can find the ratio by dividing 12/4 and 28/7. 12/4 = 3 and 28/7 = 4. 3 and 4 are not equal, so no.

Answer:

No, the pair of ratios are not equal

Explanation:

To see if the ratios are equal, we have to simplify the both of them. For the first one, it’s 12/4. That is equivalent to 3/1. This means she gets $3 for every hour. Now to the next one. The ratio is 28/7 and simplify that into 4/1. That means he gets $4 each hour. So they are different meaning the pair of ratios are not equal. Good luck on your test! Have a good day.

Here is a list of numbers 5 -17 -3 17 -6 -17 19 -14 -20 state the median.

Answers

Answer:

the answer is -6

Step-by-step explanation:

the median is the number that is directly in the middle of a sequence of numbers

What expressions are equivalent to 6G -18H

Answers

Answer:

(2·3g)-(6·3g)

Step-by-step explanation:

1. Determine whether line KM and line ST are Parallel, Pers
Line KM has a slope of 5/8
Line ST has a slope of -8/5

Answers

Answer:

Since the slope of KM and ST are different, they are not parallel

Step-by-step explanation:

Slope of line KM = [tex]\frac{5}{8}[/tex]

 Slope of ST = [tex]-\frac{8}{5}[/tex]

Determine whether the lines are perpendicular;

Solution:

We can use the slope of a line to determine whether they are perpendicular or parallel to one another.

Parallel lines do not meet one another

Perpendicular lines cross one another at an angle of 90°

Two lines are parallel if their slopes are the same;

  Since the slope of KM and ST are different, they are not parallel

Every triangle must have an acute angle. True or false?

Answers

Answer:

This is true every triangle has to have 1 acute angle.

Step-by-step explanation:

5z + 3n -z2 ; n = 4.5 , z = 6 PLZ answer this

Answers

Answer:

5(6)+3(4.5)- 6(2)= 31.5

Step-by-step explanation:

Answer:

hmmmmm

Step-by-step explanation:

The illustration below shows the graph of y as a function of x.
Complete the following sentences based on the graph of the function.
(Enter the z-intercepts from least to greatest.)
. This is the graph of a
V
function.
.
The y-intercept of the graph is the function value y =
The x-intercepts of the graph (in order from least to greatest) are located at x =
.
and =
The greatest value of y is y = and it occurs when x =
• For between x = 2 and 3 = 6, the function value y
0.

Answers

Answer:

°This is the graph of a nonlinear function.

°The y-intercept of the graph is the function value y=-6.

°The x-intercepts of the graph are located at x=2 and x=6.

°The greatest value of y is y=2, and it occurs when x=4.

°For x between x=2 and x=6, the function value y>0.

Step-by-step explanation:

I had the same question as you, I didn't get it right but i though i would answer this for you!

Suppose that the amount of snowfall per storm in Lincoln is normally distributed with µ = 4.2 inches and standard deviation µ = 2.3 inches (totally made up data). If the mayor decides that only the top 5% of storms should have school cancelled, what is the cutoff snowfall for school to be cancelled?

Answers

Answer:

7.9835

Step-by-step explanation:

Given that :

Mean snowfall per storm (µ) = 4.2 inches standard deviation (s) = 2.3 inches

Only the top 5% of storm should result in school being canceled :

Cut off snowfall for school to be canceled '

P(Z ≥ 5%) ; p(Z ≥ 0.05) = 1.645

Using the z relation :

Z = (x - m) / s

1.645 = (x - 4.2) /2.3

x - 4.2 = 2.3 * 1.645

x - 4.2 = 3.7835

x = 3.7835 + 4.2

x = 7.9835

Cut off snowfall for school to be canceled 7.9835

Answer:

hopes this photo helps

Helpppppp pleaseeeee
Save me from this questionnnnn

Answers

y = 33
x = -3
Hoped I help

Step 1:Choose the lowest common denominator

Find the sum of 1/5 and 7/10

The expression written in equation from with common denominator is______

The sum is___​

Answers

Answer:

-6/8 +5/8 and -1/8

Step-by-step explanation:

just got done doing it.

Mittens, a baby kitten, gained 120 grams of weight in 1/3 of a month. If Mittens kept growing at this rate, how much weight would he gain in 1 month?

Answers

Answer:

Step-by-step explanation:

Given

A baby kitten, gained 120 grams of weight in 1/3 of a month.

he gain in 1 month

Solution

1/3 month =120gram weight

1 month =120×3

=360 gram is the answer

△ABC is a right triangle with right angle C. Side AC¯¯¯¯¯¯¯¯ is 6 units longer than side BC¯¯¯¯¯¯¯¯. If the hypotenuse has length 217−−√ units, find the length of AC¯¯¯¯¯¯¯¯.

Answers

Given:

In △ABC is a right angle triangle.

AC is 6 units longer than side BC.

[tex]Hypotenuse=2\sqrt{17}[/tex]

To find:

The length of AC.

Solution:

Let the length of BC be x.

So, Length of AC = x+6

According to the Pythagoras theorem, in a right angle triangle

[tex]Hypotenuse^2=Base^2+Perpendicualar^2[/tex]

△ABC is a right angle triangle and AC is hypotenuse, so

[tex](2\sqrt{17})^2=(x)^2+(x+6)^2[/tex]

[tex]68=x^2+x^2+12x+36[/tex]            [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

Subtract 68 from both sides.

[tex]0=2x^2+12x+36-68[/tex]

[tex]0=2x^2+12x-32[/tex]

[tex]0=2(x^2+6x-16)[/tex]

Divide both sides by 2.

[tex]x^2+6x-16=0[/tex]

Splitting the middle term, we get

[tex]x^2+8x-2x-16=0[/tex]

[tex]x(x+8)-2(x+8)=0[/tex]

[tex](x+8)(x-2)=0[/tex]

[tex]x=-8,2[/tex]

Side cannot be negative, so x=2 only.

Now,

[tex]AC=x+6[/tex]

[tex]AC=2+6[/tex]

[tex]AC=8[/tex]

Therefore, the length of AC is 8 units.

The income earned at $6.51 per hour for w hours

Answers

Well whatever the W is you would have to times 6.51 times whatever W is

At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?

Answers

Answer:

1 hour 5 9/20 minutes

Step-by-step explanation:

help please I’m struggling badly because Im sooo bad at math

Answers

Answer:

40˚ degrees

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

y = 3x. How do you graph it???

Answers

Answer:

If you go to desmos.com, select the graphing calculator, and enter in y = 3x you should be able to see how it's graphed! Hope this helps!

Answer:

(0, 0) and (1, 3)

happy to help!

rewrite the function f(x)=3(x+1)^2-2 in the form f(x)=ax^2+bx+c

im so stuck on these problems thanks so much for the help

Answers

Answer:

f(x) = 3x² + 6x + 1

General Formulas and Concepts:

Order of Operations: BPEMDASExpand by FOIL (First Outside Inside Last)Standard Form: f(x) = ax² + bx + cVertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

Step 1: Define function

f(x) = 3(x + 1)² - 2

Step 2: Find Standard Form

Expand by FOILing:                        f(x) = 3(x² + 2x + 1) - 2Distribute 3:                                     f(x) = 3x² + 6x + 3 - 2Combine like terms (constants):    f(x) = 3x² + 6x + 1

Step-by-step explanation:

f(x)=3(x+1)^2-2

= 3 [x^2 + 2x + 1 ] -2

=3x^2 + 6x +3-2

=3x^2 + 6x + 1

f(x)=ax^2+bx+c

ax^2+bx+c = 3x^2 + 6x + 1

a = 3

b = 6

c = 1

What is 3^0-10^-4. Please describe the formula used

Answers

Answer:

solution:1-1/10000

10000/10000-1/10000

9999/10000

A nontoxic furniture polish can be made by combining vinegar and olive oil. The amount of oil should be five times the amount of vinegar. How much of each ingredient is needed in order to make 15 oz of furniture​ polish?

Answers

Answer:

Missing Information.

what is 900+100 I'm stuck 100 points for the people who can answer i know its 1000 still 100 points go listen to (joey trap) bars

Answers

Answer:

1000

Step-by-step explanation:

x = 1, y = -1, and z = 2

Answer:

1000

Step-by-step explanation:

yw :)

A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?​

Answers

Answer:

Each side is 6 units.

Step-by-step explanation:

The problem is not how to do the question. The problem is how to get your calculator to do the question.

V = s^3

s = ?

V = 216

So what you need is the cube root of 216

s^3 = 216

cube root(s^3) = cube root(216)

s = cube root 216

Your calculator should have a y^x or x ^y key.

Put in 216

Press the y^x key or the x^y key

Put in 0.33333333333

You should get something like 5.999999 which you should round to 6.

A sign says that the price marked in all music instruments equipment is 30% off the original price. You buy a guitar of $315. What is the original price?

Answers

Answer:

$450

Step-by-step explanation:

Lets make a proportion: 315/x = 70/100

Now lets cross multiply: (315) * (100) = 70* x

Multiply:  31500 = 70x

Solve for x: x = 31500/70, x = 450

I hope this helped, please mark Brainliest, thank you!

Father to his first biological son true or false?

Answers

Answer:

True

Step-by-step explanation:

have a great day!

Why is it important for mathematicians to graph functions? Select all that apply.
A. For them to determine if a function can be inverted.
B. For them to visualize the function.
C. For them to extrapolate beyond the known data.
D. For them to determine if the function can be graphed.
E. For them to determine characteristics of the function.

Answers

Answer:

e

Step-by-step explanation:

s

The rate of change of y with respect to x is proportional to y2. Write a differential equation for the statement. (Use k for the constant of proportionality.)

Answers

Answer:

[tex]\dfrac{dy}{dx}\ = ky_2[/tex]

Step-by-step explanation:

The rate of change of y with respect to x is expressed as shown;

[tex]\dfrac{dy}{dx}[/tex]

If the rate of change of y with respect to x is proportional to y2, this is expressed as;

[tex]\dfrac{dy}{dx}\ \alpha \ y_2[/tex]

If we remove the proportionality sign, a proportionality constant will be introduced as shown;

[tex]\dfrac{dy}{dx}\ = ky_2[/tex]

where k is the constant of proportionality.

Hence the differential equation for the statement is expressed as [tex]\dfrac{dy}{dx}\ = ky_2[/tex]

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