PLEASE HELP! :)

A restaurant owner was experimenting with the taste of her homestyle lemon
drink. She started with 60 litres of water. She removed 15 litres of the water and
replaced it with 15 litres of pure lemon juice.
After thoroughly stirring the new mixture, she discovered that it was too
“lemony”. So she removed 10 litres of the new mixture and replaced it with 10
litres of water. She thoroughly stirred the mixture and concluded that the new
mixture was just right.
Determine the ratio of pure lemon juice to water in the final 60 litre mixture.

Answers

Answer 1

Answer:

Lemon juice / water  =  12,5 / 47,5  or 26,31 %

Step-by-step explanation:

First step:

We got  60 liters. of water and we replace 15 liters. of water and add 15 liters of lemon juice, then our mixture is:

60 lts. of mixture       ⇒ with      45 lts. is water   and 15 lts. is lemon juice

The proportion of the mixture  

each liter of the mixture is   0,75 lts. of water and 0,25 of lemon juice

2 step

Removing 10 lts. of mixture implies

10 lts of mixture    means    7,5 lts. of water and 2,5 lts. of lemon juice

then we have

50 lts. of mixture     with   (45 - 7,5 = 37,5 lts.) of water and (15 - 2,5 = 12,5 ) lts. of lemon juice

third step

Addind 10 lts. of water:

60 lts. of mixture  with  ( 37,5 + 10 = 47,5) lts. of water and 12,5 lts. of lemon juice

Final mixture is

60 lts. of mixture with   47,5 lts. of water  and 12,5 lts. of lemon juice

Proportion

Lemon juice / water  =  12,5 / 47,5    or  26,32 %


Related Questions

The University of Central Florida’s cheerleading team has eighteen males and twenty-one females. If h represents the height of a team member, the inequality 260 ≤ 4h + 28 < 324, represents the range of heights of the cheerleaders, in inches. Select all possible heights for the University of Central Florida’s cheerleaders.
Group of answer choices

6 feet, 2 inches

5 feet, 11 inches

5 feet, 3 inches

4 feet, 9 inches

5 feet, 8 inches

5 feet, 4 inches

4 feet, 10 inches

Answers

Answer:

5ft 11 inches , 5 feet 3 inches , 5 ft. and 8 in

Step-by-step explanation:

I think this is right . Plus if it isn't at least some are right so you can correct your answer. And anyway you should know this if they taught you this sin class

The possible heights for the University of Central Florida’s cheerleaders is:

5 feet, 11 inches

5 feet, 3 inches

4 feet, 9 inches

5 feet, 8 inches

Let h represents the height of a team member.

Since the height of a team member is given by the inequality 260 ≤ 4h + 28 < 324, hence:

260 ≤ 4h + 28 or 4h + 28 < 324

4h + 28 ≥ 260 or 4h + 28 < 324

4h ≥ 232 or 4h < 296

h ≥ 58 inches or h < 74 inches

Therefore the height of the team member is at least 58 inches (4 feet 10 inches) and less than 74 inches (6 feet 2 inches)

The possible heights for the University of Central Florida’s cheerleaders is:

5 feet, 11 inches

5 feet, 3 inches

4 feet, 9 inches

5 feet, 8 inches

Find out more at: https://brainly.com/question/15137133

-136 = 8(m - 1)
[tex] - 136 = 8(m - 1)[/tex]

Answers

-136 = 8m - 8
-136 + 8 = 8m
-128/8 = m
-16 = m

M = -16

A rental company rents a luxury car at a daily rate of 39.11 ​$ plus​ $.50 per mile. Is allotted100 ​$ for car rental each day. Write an equation to represent the cost C of renting a c ar and driving x miles. How many miles can travel on the ​100$​?

Answers

Answer:

- The equation that represent the cost C of renting a car and driving x miles is  C = $39.11 + $0.50x

- $100 can travel 121.78 miles

Step-by-step explanation:

From the question, a rental company rents a luxury car at a daily rate of 39.11 ​$ plus​ $.50 per mile, that is

$0.50 is added to the initial $39.11 for every mile.

The equation that represent the cost C of renting a car and driving x miles is

C = $39.11 + $0.50x

Now, to determine how many miles 100$ can travel,

we will put C = $100, and determine x in the above equation

$100 = $39.11 + $0.50x

$100 - $39.11 = $0.50x

$60.89 = $0.50x

x = $60.89/$0.50

x = 121.78

Hence, $100 can travel 121.78 miles

HELPPPPPP PLZZ!!!!!!!

Answers

Answer:

B and E i think

Step-by-step explanation:

B and E are the right answers

simplify 18 over 3/4

Answers

Answer:

What is 18/4 Simplified? - 9/2 is the simplified fraction for 18/4.

Step-by-step explanation:

Answer:

- 9/2

Step-by-step explanation:

The Hudson family went out to dinner. The meal cost $49.50.
If they also left a 15% tip, approximately how much did the entire dinner cost?
O $7.43
$49.50
O $56.93
O $61.24

Answers

Answer:

The tip is $7.43

The total answer $56.93

Step-by-step explanation:

Hope this helps!

Answer:

c 56.93

Step-by-step explanation:

49.5 × 1.15= 56.93

Antoine made $33,284 last year. He received a 4.5% annual raise.What will his new salary before the coming year

Answers

Answer:

$34781

Step-by-step explanation:

Make a table of ordered pairs for the equation y=-1/3x+1

Answers

Answer:

(0, 1)

(3, 0)

(6, -1)

(9, -2)

Enter your responses in the blank.

T= 2x + 3y - 2

____=3y



- 2x = 3y - 2
____ = y​

Answers

-2x+2=3y
-2/3x+2/3 =y

QUESTION 7, Saturday, October 10th, 2020

I have some geometry questions today. Please include your thoughts or reasoning with your answer. Please ignore the answer I selected for it was not an purpose. Thanks!

Answers

Answer:

DE≅JK

Step-by-step explanation:

already have aa need the side after or before the 2 angles

Answer:

DF≅JL

Step-by-step explanation:

We have one side and one angle, need one more side such that the angle is between those sides. It will make SAS congruency

So required sides are

DF≅JL

A store sells a 33-pound bag of oranges for \$ 3.60$3.60 and a 55-pound bag of oranges for \$ 5.25$5.25. What is the difference between the price per pound for the 33-pound bag of oranges and the price per pound for the 55-pound bag of oranges? ​

Answers

Answer:

0.01364

Step-by-step explanation:

It is given that,

A store sells a 33-pound bag of oranges for $3.60 and a 55-pound bag of oranges for $5.25.

Price per pound of 33 pound bag is 3.60/33 = 0.10909 price per pound

Price per pound of 55 pound bag of oranges is 5.25/55 = 0.09545 price per pound

Difference between price per pound for the 33-pound bag of oranges and the price per pound for the 55-pound bag of oranges is :

D = 0.10909 - 0.09545

D = 0.01364

Therefore, this is the required solution.

Solve the equation for a
5n + 34 = -2(1 - 7n)
a equals

Answers

Answer:

n = 4

Step-by-step explanation:

Where's a or did you mean n?

Answer:

n=4

Step-by-step explanation:

5n+34=-2(1-7n)

1. So first expand.

5n+34=−2+14n

2 Regroup terms.

5n+34=14n−2

3 Subtract 5n from both sides.

34=14n−2−5n

4 Simplify  14n-2-5n to  9n-2.

34=9n−2

5 Add 22 to both sides.

34+2=9n

6 Simplify  34+2 to 36.

36=9n

7 Divide both sides by 9.

36/9=9

​​

8 Simplify 36/9 to 4

4=n

9 Switch sides.

n=4

Mr. Jones teaches 154 students in 7 classes. How many
students does he have per class? (per single class – unit
rate)
Please help mee

Answers

154 divided by 7 i think

so 22 students per class

Mr. Jones has 22 students per class

Help ! What’s the answer?

Answers

Answer:

48 feet

Step-by-step explanation:

6 feet wide

3 times as long as it's wide (width) = 6×3 = 18

18 + 6 + 18 + 6

= 24 + 24

= 48 feet

Gabby says that 8 is a common multiple of 16 and 24. Mark says that 8 is a common factor of 16 and 24. Who is correct?

Answers

Answer:

gabby is correct

Step-by-step explanation:

If <3=50, then find the rest of the angles

Answers

Angle 1 = 130 degrees
Angle 2 = 50 degrees
Angle 4 = 130 degrees
Angle 5 = 130 degrees
Angle 6 = 50 degrees

Solve: x/5 =10 can you help me solve that

Answers

Answer:

d

Step-by-step explanation:

10*5=50

could u vote me brainliest plz? thx :)

Answer:

50

Step-by-step explanation:

x/5 time 5 = 10 times 5

x = 50

A teacher has gallon of water. He pours the water into 5 glasses for children. Each child receives the same amount of water. There is no water left over. How much water, in gallons, does each child receive?

Answers

Answer:

ok ok i dont get it

the teacher has 1 gallon of water

the kids get the same amount from that one gallon

now how many GALLONS do EACH child recieve?

thats messed up

find the mistakes

Describe the graph of the inequality x > -1.

Answers

Answer:

See below

Step-by-step explanation:

Given

Inequality x > -1

This inequality covers the interval greater than  - 1

( - 1, + oo)

Its graph covers the space to the right from the point -1

The vertical line  - 1 is a dotted line as - 1 is nor included

what is the y intercept of 2y-5x=16

Answers

To find y-intercepts, you substitute in 0 for X

2y-5x=16
2y-5(0)=16
2y-0=16
2y=16
Y=8

So the y-intercept is (0,8)

Answer:

2

Step-by-step explanation:

The distance, D, travelled by a particle is directly proportional to the square of the time, t, taken. When t = 40, D = 30. find a formula for D in terms of t. Calculate the value of D when t = 64​

Answers

Answer:

The formula for D in terms of t is D=0.01875t²

The value of D is 76.8

Step-by-step explanation:

See above for an image

Hope I helped!

After calculating by definition of proportionality, the value of D is 76.8

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The distance, D, travelled by a particle is directly proportional to the square of the time, t.

So, We can defined as;

⇒ D = k × t²

Where, 'k' is constant of proportion.

Here, When t = 40, D = 30,

⇒ D = k × t²

⇒ 30 = k × 40²

⇒ 30 = k × 1600

⇒ k = 30 / 1600

⇒ k = 3/160

So, When t = 64, the value of D is,

⇒ D = 3/160 × 64²

⇒ D = 76.8

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ2

What is the slope of the line that passes through points (-6,-7) and (-24,-7) . Write your answer in the simplest form

Answers

Answer:

The slope of the line passing through both points is 0

Step-by-step explanation:

Mathematically, we can calculate the slope as follows;

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

where (x1,y1) = (-6,-7)

(x2,y2) = (-24,-7)

Thus m = (-7 -(-7))/(-24 + 6) = 0/18 = 0

The slope of both is 0

What is the rate of change of this table?

Answers

Answer:

- 6

Step-by-step explanation:

The rate of change of the values is the slope m

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 32) and (x₂, y₂ ) = (0, 20) ← 2 ordered pairs from the table

m = [tex]\frac{20-32}{0+2}[/tex] = [tex]\frac{-12}{2}[/tex] = - 6 ← rate of change

There are 30 colored marbles inside a bag. Six marbles are yellow, 9 are red, 7 are white

Answers

Answer:

Finish the question

Step-by-step explanation:

The Frosty Ice-Cream Shop sells sundaes for $4 and banana splits for $6. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $182. How many sundaes did they sell?

Answers

Answer:

23

Step-by-step explanation:

Answer:

They sold 48 sundaes.

Step-by-step explanation:

Find each sum or difference
-1/2 + 1/3

Answers

Answer:

The answer is -1/6

Step-by-step explanation:

Answer:

Sum: -1/6

Difference: -5/6

Step-by-step explanation:

helppp due in 21 mins

Answers

Answer:

Step-by-step explanation:

19. 12960

20. 6000

HELP PLEASE HAVING BAD DAY

Jasmine drives every morning to her office that is 12 miles from her home.

If Jasmine's average driving speed is s mph, how many hours does it take her to drive from her home to the office?

Answers

Answer:

I need to know how fast the driver is going

Step-by-step explanation:

Answer:

12/s

Step-by-step explanation:

Find f(-1) if f(x)=3x^3 + 5x^2

Answers

Answer:

2

Step-by-step explanation:

f(x) = 3x^3 + 5x^2

f(-1)

so just substitute in the value -1 for x, and solve

f(-1) = 3(-1)^3 + 5(-1)^2

     = 3 * -1 + 5 *1

     = -3 + 5

     = 2

Three times the sum of twice n and 6 is the same as the product of four and n less 2. Find n

Answers

Answer:

n=12

Step-by-step explanation:

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