1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mash [69]
3 years ago
14

The table below shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the sam

e recipe. Lemon juice ( mL mLstart text, m, L, end text) Sugar ( g gstart text, g, end text) Batch A 500 500500 200 200200 Batch B 750 750750 300 300300 Batch C 1500 15001500 600 600600 Write an equation to describe the relationship between j jj, the amount of lemon juice in mL mLstart text, m, L, end text, and s ss, the amount of sugar in g gstart text, g, end text.
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
3 0

Answer:

The equation is:

        j/g=5/2

Or, what is equivalent:

        j=5g/2

Explanation:

This is the<em> table</em> that <em>shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the same recipe</em>:

                        Lemon juice (mL)       Sugar (g)

Batch A               500                            200

Batch B                750                            300

Batch C              1500                            600

You need to write an <em>equation to describe the relationship between j, the amount of lemon juice in mL and s, the amount of sugar in g</em>.

Calculate some ratios, to determine the kind of relation between the amount of juice and the amount of sugar in the recipe.

  • Batch A: lemon juice / sugar = 500 / 200 = 5/2

  • Batch B: lemon juice / sugar = 750/300 = 5/2

  • Batch C:  lemon juice / sugar = 1500/600 = 5/2

Hence, the amount of juice, j, and the amound of sugar, s, are proportional and the constant of proportionality is 5/2. From this, the equation is:

        j/g=5/2

Or, what is equivalent (solving for j):

        j=5g/2

You might be interested in
How long does it take a runner to run 12km if he is running at a speed of 7km/h
Rama09 [41]

Answer:

about an hour and 42 minutes

Step-by-step explanation:

Time=Distance/Speed

3 0
3 years ago
Read 2 more answers
HELP pleaseeee (probability again)
ICE Princess25 [194]

Answer:

Event A - 1/3

Event B - 4/9

Step-by-step explanation:

Add them together 3+4+2= 9

then put them in to fractions...

3 0
3 years ago
Is 3, 1, 1/3, 1/9,... a geometric sequence?
barxatty [35]
a_1;\ a_2;\ a_3;\ a_3;\ ...;\ a_n;\ a_{n+1};...\ is\ a\ geometric\ sequence\\if\ a_{n+1}:a_n=const.\\-------------------\\a_1=3;\ a_2=1;\ a_3=\dfrac{1}{3};\ a_4=\dfrac{1}{9}\\\\a_4:a_3=\dfrac{1}{9}:\dfrac{1}{3}=\dfrac{1}{9}\cdot\dfrac{3}{1}=\dfrac{1}{3}\\\\a_3:a_2=\dfrac{1}{3}:1=\dfrac{1}{3}\\\\a_2:a_1=1:3=\dfrac{1}{3}\\\\Answer:Yes.\ It's\ the\ geometric\ sequence.
7 0
3 years ago
The diameter of a circle is 55 inches.
Galina-37 [17]
The radius would be 8.75
6 0
3 years ago
Read 2 more answers
Help me please<br><img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20ln%28x%20%7B%20%7D%20%5E%7B2%7D%20%2B%202%20%29%20" id="
CaHeK987 [17]
➡Answer: x=√(e^y-2)

❇Explanation:
Step1: Let f(x)=y,then

↪y=ln(x²+2)

Step2: Converting it into exponential form,

↪e^y=x²+2

↪x²=e^y-2

Step3: Taking square root of both sides,

↪x=√(e^y-2)

❇Note:

ln means log with base e.

So in step 2 , base e of ln (x²+2) goes to other side in the form e^y. That is simply the property of log I used there..

Hope this helps!
3 0
3 years ago
Other questions:
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
    15·2 answers
  • You are buying batteries, a stereo, and some CDs from the I.B. Electronics store. You can buy from this store online or in a phy
    8·2 answers
  • Rhonda was organizing photos in a photo album. She took 60 photos and divided them evenly between p pages. Which algebraic expre
    6·1 answer
  • Stu trained for a triathlon for 5 hours yesterday. He ran 5 miles and then biked 80 miles. His biking speed is 15 mph faster tha
    5·1 answer
  • An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown
    11·1 answer
  • What fraction is = to 1/3
    7·2 answers
  • 1. What is the probability of rolling a number less
    6·2 answers
  • In January the students in a class red 72 books in February they read 56 books what is the approximate percentage decrease in th
    9·1 answer
  • which of the following is a characteristic of the circumcenter of a triangle? multi-choice. A. it is the center of the only circ
    13·1 answer
  • Consider the relationship 5r+8t=10 A. write the relationship as a function r=f(t) B. Evaluate f(-5) C. solve f(t)= 26
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!