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
Ludmilka [50]
2 years ago
6

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink

B contains 10% real fruit juice. How many liters of real fruit juice would be needed to produce 250 liters of Drink A and 150 liters of Drink B? How many liters of real fruit juice would be needed to produce aa liters of Drink A and bb liters of Drink B?
Mathematics
1 answer:
sweet [91]2 years ago
4 0

Answer:

y = 290 liters Drink B

Step-by-step explanation:

Drink A contains 20% real fruit juice. x liters

and Drink B contains 5% real fruit juice. y liters

y=x+80

20%x +5%y =56.5

20x+5y==5650

-x + y = 80.00

20x + 5 y = 5650.00 .............2

Eliminate y

multiply (1)by -5

Multiply (2) by 1

5.00 x -5.00 y = -400.00

20.00 x 5.00 y = 5650.00

Add the two equations

25.00 x = 5250.00

/ 25.00

x = 210.00

plug value of x in (1)

-1.00 x + 1.00 y = 80.00

-210.00 + 1.00 y = 80.00

1.00 y = 290.00

y = 290.00

Ans x = 210 liters Drink A

y = 290 liters Drink B

You might be interested in
What is the mean for the data set 138 140 105 112 108 134 106 181 164 105
chubhunter [2.5K]

Answer:

the mean for the data set is 129.3

7 0
3 years ago
Read 2 more answers
The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per
ICE Princess25 [194]

Answer:

1.76% probability that in one hour more than 5 clients arrive

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per hour.

This means that \mu = 2

What is the probability that in one hour more than 5 clients arrive

Either 5 or less clients arrive, or more than 5 do. The sum of the probabilities of these events is decimal 1. So

P(X \leq 5) + P(X > 5) = 1

We want P(X > 5). So

P(X > 5) = 1 - P(X \leq 5)

In which

P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353

P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707

P(X = 2) = \frac{e^{-2}*2^{2}}{(2)!} = 0.2707

P(X = 3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1804

P(X = 4) = \frac{e^{-2}*2^{4}}{(4)!} = 0.0902

P(X = 5) = \frac{e^{-2}*2^{5}}{(5)!} = 0.0361

P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.1353 + 0.2702 + 0.2702 + 0.1804 + 0.0902 + 0.0361 = 0.9824

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9824 = 0.0176

1.76% probability that in one hour more than 5 clients arrive

8 0
2 years ago
Read 2 more answers
Why is it preferable to measure a penny in millimeters rather than centimeters or meters?
andrey2020 [161]
Pennies are small so, if would be more accurate and have whole numbers. If u measured with an inch or meter, u would get a fraction for an answer.
8 0
3 years ago
Read 2 more answers
HELP WILL MARK YOU BRAINLIEST HURRY IM ON A TIME LIMIT!’
Keith_Richards [23]

(3x+5)+(x+3)=180

4x+8=180

4x=172

x=43

3(43)+5

<PQR=134

<SQR=46

6 0
3 years ago
Read 2 more answers
14) You and your friend to out to eat and the cost of the meals
MaRussiya [10]

Answer:

The tip would be $3.90 and rounded to the nearest dollar would be $4.00

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What is the sum of the first 10 positive integers?<br><br> A) 55<br> B) 50 <br> C) 100<br> D) 95
    5·1 answer
  • ANSWER CORRECTLY FOR BRAINLEAST
    14·2 answers
  • Filipe is paid $1,000 every month plus an additional $150 bonus for every tractor he sells, x. Write an equation to represent th
    13·1 answer
  • You are considering leasing a store site that has 1,500 square feet. The landlord is asking for a rent of $50 per square foot, p
    15·1 answer
  • I need help I don’t know how to Solve for 50=6.2x
    15·2 answers
  • Where is the function increasing?
    13·2 answers
  • The number of males in the classroom is three more than twice the number of females. Of the total number of students is 57, how
    13·1 answer
  • What is meaning of pictogram​
    8·1 answer
  • What is the area of the kite 10 12 12 18
    13·1 answer
  • Negative number on a number line 3
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!