The table below shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the same recipe.
Lemon juice (\text{mL}mLstart text, m, L, end text) Sugar (\text{g}gstart text, g, end text)
Batch A 500500500 200200200
Batch B 750750750 300300300
Batch C 150015001500 600600600
Write an equation to describe the relationship between jjj, the amount of lemon juice in \text{mL}start text, m, L, end text, and sss, the amount of sugar in \text{g}gstart text, g, end text.

Answers

Answer 1

Answer:

j = 2.5s

Step-by-step explanation:

Batch A

500 ⇒ 200, juice to sugar ratio j/s = 500/200 = 2.5

Batch B

750 ⇒ 300, juice to sugar ratio j/s = 750/300 = 2.5

Batch C

1500 ⇒ 600, juice to sugar ratio j/s = 1500/600 = 2.5

General equation would be:

j = 2.5s

Answer 2

Answer: j=2.5s

Step-by-step explanation:Got answer from Khan


Related Questions

Plsss someone helpppp find the apothem

Answers

Answer:

Step-by-step explanation:

53. A=6.

54.we use the Pythagorean theorem =>

8^2=(8:2)^2+x^2

64=16+x^2
x^2=64-16=48

=> A=sqrt(48)= 4*sqrt(3).


You can also visit this site,I think it will be helpful for you to understand the solution better: https://www.wikihow.com/Calculate-the-Apothem-of-a-Hexagon

My first question ever, and my last question yet.


Alec and Beau race to compute 1 + 2 + 3 + ... + n. Alec skips two numbers and gets a sum of 92. Beau double-counts two numbers and gets a sum of 145. What is the value of n?

Answers

Answer:

n = {14, 15, 16}

Step-by-step explanation:

This is a sum of the first n terms of an AP:

S = (1 + n)*n/2

The true sum is between 92 and 145:

92 < n(n + 1)/2 < 145184 < n(n + 1) < 290184 < n² + n < 290185 < (n + 1/2)² < 291√185 < n + 1/2 < √29114 ≤ n < 17

Let n = 14

S = 14*15/2 = 105

Let n = 15

S = 15*16/2 = 120

Let n = 16

S = 16*17/2 = 136

How to Calculate discount rate

Answers

Answer:

[tex]\frac{i\times d}{100}[/tex]

Step-by-step explanation:

To calculate the discount, we multiply the initial amount (i) to the discount (d) and then divide that answer by 100. After we find that answer we then subtract it from the initial price.

For example:

A computer costs $695 and it has a 7% discount. Calculate the total costs of the computer after the 7% discount.

[tex]\frac{695\times7}{100} =695\times7=4865\div100=48.65[/tex]
[tex]695-48.65=646.35[/tex]
[tex]c=646.35[/tex]

The computer (after a 7% discount) costs "$646.35 dollars."

Hope this helps.

Find the measure of x

Answers

Answer:

x=3.24

Step-by-step explanation:

cos(29)=x/3.7

x=3.7 cos(29)

x=3.24

Hope it helps!

This is with tangents I have already figured out one portion of the problems please help

Answers

Answer:

-5

Step-by-step explanation:

negative times negative is positive so squared can be negative or positive

Answer:

x = -5, x = 5

Step-by-step explanation:

Tangents to a circle drawn to a point outside the circle are equal in length.  Therefore, AB = AC.

Given:

AB = x² + 8AC = 33

                                              AB = AC

                                      ⇒ x² + 8 = 33

Subtract 8 from both sides:   x² = 25

Square root both sides:          x = ±5

Therefore,                                x = -5, x = 5

A bag contains 7 yellow marbles and 35 red marbles. If a representative sample contains 2 yellow ​marbles, then how many red marbles would you expect it to​ contain? Explain.

Answers

30 maybe, not to sure, sorry if its wrong

PLEASE HELP FAST
Let (W) be the number of white T-shirts and (T) the number of tie-dye T-shirts.
w+t=500
15w+20t=9000

If w is on the horizontal axis, then the intercepts of the line for the first equation are

x-intercept: (500,0),
y-intercept: (0,500).

what are the intercepts of the line for the second equation?

The x intercepts is ____
//in a drop down box\\
(0,450)
(0,600)
(450,0)
(600,0)
The Y intercept is ___
//in a drop down box\\
(0,450)
(0,600)
(450,0)
(600,0)​

Answers

Answer:

x-Intercept: 600,0

y-intercept:0,450

Step-by-step explanation:

Got it right on the test

Answer:

The x intercept is 600, 0. The y intercept is 0, 450.

Step-by-step explanation:

I got it correct on edge.

In the table to the right, the P(0) is blank so we can assume P(O) = 0 What does a probability equal to zero mean?

Answers

Answer:

It means there is no chance this will happen or in other words a 0% chance

Step-by-step explanation:

Emily has some marbles. After Mrs. Kim gave her another 21 marbles, the number of marbles became four times the number of marbles at first. How many marbles does Emily have now?​

Answers

Answer:

Emily has 84 marbles now

Step-by-step explanation:

21×4

=84

im stumped on this question. someone help me plss​

Answers

Answer:

One of the answers could be linear

Step-by-step explanation:A linear graph is always a straight line, and this looks to demonstrate that. Sorry if this is incorrect, just my understanding.

The quotient of 10 and a

Answers

Answer:

The answer I believe is 10? Sorry if i am wrong

Step-by-step explanation:

in algebra, if there is a variable without a coefficient, then it just means 1. So a = 1, and 10 ÷ 1 = 10

Does anyone know this problem!! I need help asap!! #help

Answers

Answer:

you times that by 7 I think

Step-by-step explanation:

Answer:

3.5 miles

Step-by-step explanation:

i think, if its wrong- s o r r y ;v;

Joel borrowed 518,000 for 6 years at simple interest to purchase a vehicle. If Joel repaid a
total of $20,953.80, at what rate did he borrow the money?

Answers

Answer:

  2.735%

Step-by-step explanation:

The amount due on principal P after t years at rate r is ...

  A = P(1 +rt)

Filling in the given values, we can solve for r:

  20,953.80 = 18000(1 +6r)

  20953.80/18000 -1 = 6r = 0.1641

  r = 0.1641/6 = 0.02735 = 2.735%

Joel's interest rate was 2.735%.

The answer need help fast please

Answers

Answer:

D.) Equation (4)

Step-by-step explanation:

1. y= (2)+6  =8

2. y=2(2)+4 =8

3. y= 3(2)+2 =8

4. y=5(2)-4 =6

The temperature on one planet is -42 degrees. On another planet, it is -70 degrees. What is the difference in these 2 temperatures?

Answers

Answer:

28 degree difference

Step-by-step explanation:

-70-(-42) = -28

How do you do this problem and show work

Answers

Answer

the answer is 16 but i cant tell if there is anything after that is there?

Step-by-step explanation:

Answer:

1/x^8

Step-by-step explanation:

x^3*x^2 = x^5

x*x*x*x*x*x*x = x^7

x^5 / x^7 = 1/x^2

(1 / x^2)^4 = 1^4 / x^2*4 = 1/x^8

In-n-Out sells their cheeseburger for 4.50 but they charge .50 for extra patties. Carls Jr. sells a cheeseburger for 4.25 and will charge .75 cents for an extra patty. When will the burgers cost the same amount? How many extra patties do they have to order? Solve using tables.

Answers

Answer:

just add 0.75 on the bottom

Step-by-step explanation:

Find the value of x.​
Step by Step

Answers

Leave x alone and solve

Answer:

sorryi dont know

Step-by-step explanation:

x y
−1 −10
3 14

y= ?x + (?)

Answers

Answer:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

18. 3

+

11

17

3

4

co

loo

8

Step-by-step explanation:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

JADA, DIEGO, AND ELENA EACH USE THE SAME SPINNER THAT HAS FOUR (NOT NECESSARILY EQUAL SIZED) SECTIONS MARKED A, B, C, AND D.

JADA SAYS, "THE PROBABILITY OF SPINNING B IS 0.3 BECAUSE I SPUN 10 TIMES, AND IT LANDED ON B 3 TIMES."
DIEGO SAYS, "THE PROBABILITY OF SPINNING B IS 20% BECAUSE I SPUN 5 TIMES, AND IT LANDED ON B ONCE."
ELENA SAYS, "THE PROBABILITY OF SPINNING B IS 2/7 BECAUSE I SPUN 7 TIMES, AND IT LANDED ON B TWICE."

Based on their methods, which probability do you think is most accurate? Explain your reasoning.

Answers

It will most likely be Jada’s probability because Jada spun the most times.

8
——

math



pls help geniuses!!
——————————-

Answers

Answer:

C = ( -7 , 6 )

R = 2

SO ...

The ANSWER is "A"

What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet?

Answers

Answer:

cylinder91.9 ft³

Step-by-step explanation:

a)

An object with a uniform circular cross section is generally modeled by a cylinder.

__

b)

The formula for the volume of a cylinder is ...

  V = πr²h

For the given radius and height, the volume is ...

  V = π(1.5 ft)²(13 ft) ≈ 91.9 ft³

The volume of the tree trunk is about 91.9 ft³.

VOLUME OF A CYLINDER

Problem:

What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet?

Answer:[tex] \color{hotpink} \bold{91.85 \: \: ft} [/tex]

— — — — — — — — — —

— I will use cylinder to model the tree trunk since it's looks like. (Please refer to the pic)

Formula:[tex] \underline{ \boxed{ \sf \: V=πr²h}}[/tex]

where,

V is the Volumeπ (pi) is the constant 3.14r is the radiush is the height

– This formula is used when the radius of the base is given.

Solution:

Remember that radius has to be multiplied by itself (squared). And pi (π) is the constant 3.14.

– Using the formula above, substitute the givens in the formula then solve.

[tex] V=πr²h[/tex]

[tex]V=3.14 \times (1.5)² \times 13[/tex]

[tex] V=3.14 \times (2.25 \times 13)[/tex]

[tex]V= \underline{ \boxed{ \blue{ 91.85 \: ft ^{3} }}}[/tex]

Hence, the volume is 91.85 ft³.

_______________∞_______________

A construction company takes 1 3/8 hours to remove 2 1/2 metric tons of dirt from a construction site. What is the unit rate in metric tons per hour? Write your answer as a fraction or a mixed number in simplest form.
PLEASE HELP!! NO LINKS PLZ

Answers

Answer:

  1 9/11 T/h

Step-by-step explanation:

You want the unit rate in metric tons per hour of removal of 2 1/2 metric tons in 1 3/8 hours.

Unit rate

The unit rate in tons per hour is found by dividing tons by hours:

  (2 1/2 T)/(1 3/8 h) = (5/2 T)/(11/8 h) = (20/8 T)/(11/8 h) = 20/11 T/h

 = 1 9/11 T/h

The unit rate is 20/11 metric tons per hour, or 1 9/11 metric tons per hour.

<95141404393>

So , there is this thing that says : "the circumference of a circle is 7,850 , whats the radious?

Answers

Answer:

1250 (corrected to 3 significant figures)

Step-by-step explanation:

the formula to calculate circumference is 2πr, where r is the radius.

hence, we can form the equation

2πr = 7850

r ≈ 1249.3663

= 1250 (corrected to 3 significant figures)

Is the relation shown in the table below a function?

Answers

No it is not a function.

There are 2 possible answers for the input 3. When an input has more than 1 possible answer it is not a function.

Which of these is a service industry?
A. a textile plant
B. an oil refinery
C. an aircraft manufacturer
D. a dry-cleaning store
I think its either c or b but more but not so sure.... help......

Answers

Its D i hope that helped

The soccer team is selling bags of popcorn for $3 each and cups of lemonade for $2 each. To make a profit, they must collect a total of more than $120. Solutions can be represented by coordinates (p,c), where p represents the number of bags of popcorn sold and c represents the number of cups of lemonade sold. Is the coordinate (10,45) a solution to the inequality? Explain your reasoning or show your work.

Answers

3x + 2y ≥ 120

you are asking me to confirm whether the below statement is true

10 * 3 + 45 *2 ≥ 120 ?

30 + 90 = 120

120 ≥ 120

its not greater but its equal which means it is a possible solution

100 points for user sweet Jennifer Whenever we observe a distant planet, star or galaxy, we are seeing it as it was hours, centuries or even millennia ago. This is because light travels at a finite speed (the speed of light) and given the large distances in the Universe, we do not see objects as they are now, but as they were when the light was emitted.

Answers

I don’t understand what u would like for me to do, I would need more information of what u would like for me to do. Sorry but I can’t help unless I have more information

(4k3 +3k3) - (5k3 + 2k4)

Answers

Answer:

-2k

Step-by-step explanation:

Answer: You combine like terms

2k^3-2k^4

What is the measure of angle Y in this figure

Y=____ degrees

Answers

Answer:

163

Step-by-step explanation:

What's great about these problems is that when there is a line that is divided by another line, causing 2 angles, the 2 angles must equal 180 degrees.  That means the 163-degree angle + either the x or the z angle would equal 180 degrees.  The second best part about this is that if it is separated how yours is, with 2 lines, opposite angles are equal.  That means that angle x and angle z are equal, as well as the 163 angle is equal to the y angle.  Hope this helps with more than just this problem!

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