El administrador de una cafetería sabe que vende diariamente 50 litros de jugo mixto. Para elaborar este jugo se emplean dos preparados: uno de jugo de naranja, que contiene un 5% de jugo natural y otro preparado de jugo de toronja, que contiene 25% de jugo natural. Si se desea que el jugo mixto contenga un 10% de jugo natural ¿Cuántos litros de cada preparado se deben emplear?

Answers

Answer 1

Answer:

Se necesitan 37.5 litros del preparado que contiene 5% de jugo natural, y 12.5 litros del que contiene 25%.

Step-by-step explanation:

Primero calculamos la cantidad total de jugo natural que se necesita, a partir del volumen de jugo mixto que se quiere vender:

50 L * 10/100 = 5 L

Ahora, que X sean los litros del preparado con jugo de 5%, y que Y sean los litros del preparado con jugo de 25%:

La suma de ambos preparados tiene que ser 50 L:

1.    x + y = 50

La suma del jugo natural tiene que ser 5:

2.   x*5/100 + y*25/100 = 5

Por lo que tenemos un sistema de dos ecuaciones y dos incognitas.

Expresamos x en términos de y:

x + y = 50x = 50 - y

Reemplazamos x en la segunda ecuación:

(50-y)*5/100 + y*25/100 = 5

Y despejamos y:

2.5 - 0.05y + 0.25y = 50.20y = 2.5y = 12.5

Usando ese valor de y, calculamos x:

x + 12.5 = 50x = 37.5


Related Questions

what is the circumference of a circle that has a radius of 14?
I need this by today plz answer...

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Answer:

C≈87.96

r Radius 14

IIIII NEEEEEEED HELLLLLLP

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Answer:

-6 > -x

Step-by-step explanation:

2 < -x/3

Multiply both sides by -3. Flip the sign because we are multiplying by a negative.

Solution:

-6 > -x

Amanda Sabino's taxable income is $20,900 . Use this table below to find out how much she'll pay in state tax

Answers

Answer:

is that a test huh

is that a test

Step-by-step explanation:

Veronica is buying a new pair of Hollister jeans for $50.00. They are on sale for 25% off.
a. What is the sale price of the jeans?
b. If the sales tax is 6%, how much wil Veronica pay for the jeans after the discount and
taxes?

Answers

Answer:

a- $37.50

b- $39.75

Step-by-step explanation:

Hope this helped!

Answer:

a) 37.5

b) 39.75

Step-by-step explanation:

a) 50 (price of jeans) x 0.75 (amount after redution sale 100% - 25%) = 37.5

b) 37.5 (price of jeans after sale) x 1.06 (total price x 6%) = 39.75

what are 3 decimals between 5.7 and 5.8​

Answers

Answer:

5.75 , 5.76, 5.73

Step-by-step explanation:

Hope this helps!

Find the answer when you substitute the letters with k = 14 and d = 5 in the equation. -5d - 7k.

Answers

Answer:

-123

Step-by-step explanation:

Given that k=14 and d=5 we can substitute d and k for their actual values. -5(5)-7(14).

-5*5=-25.

-7*14=-98.

-25-98=-123.

You can use this method to solve other problems in the future hope you find this helpful. : )

Mackenzie built the small lego set it cost $5.49 Caleb built the large lego set how much do you think the large lego set cost

Answers

Answer:

Since there is no available data for the Lego set, it is safe to assume that the cost would be definitely higher than the small Lego set built by Mackenzie. For example, if the dimension of the small Lego set is 50 X 30 X 6 (length X breadth X height all in cm ) which cost Mackenzie $5.49.

On the other-hand, let assume that, the large Lego set built by Caleb is twice that of Mackenzie Lego set (that is 100 X 60 X 12 ), it could be found that, the cost for the large Lego set would cost minimum of $10.98

Step-by-step explanation:

Is the function f(x)=

2
7
+
1
8x
linear or nonlinear?

Answers

Answer:

as long as the equation has no exponents or square roots it is linear

Step-by-step explanation:

there are four children in Jana's family. She is less than 11 years old and is the oldest. there's a two-years age difference to twins, riya and seta, who come next. yuvi who is older than 5 is 2 years younger than the twins. how old are each of the children?​

Answers

Answer:

Jana=10, twins=8, yuvi=6

Step-by-step explanation:

it's the only possible answer,as we know yuvi is older than 5 so let's just say she is 6 then the twins are 2 years older=8 and we know that and is less then 11 so that would be 10

find the slope of the line that passes through (10,6) and (2,11).​

Answers

Answer:

m=−5/8

Step-by-step explanation:

A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

?:(

Answers

Answer:

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

Step-by-step explanation:

According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:

[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)

Where:

[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)

If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:

[tex]x_{B} = 1.25\cdot (14)[/tex]

[tex]x_{B} = 17.5[/tex]

[tex]y_{B} = 0.75\cdot (21)[/tex]

[tex]y_{B} = 15.75[/tex]

From (2):

[tex]m = \frac{15.75-21}{17.5-14}[/tex]

[tex]m = -\frac{3}{2}[/tex]

By (1):

[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

Shelly is hiking alongs a 20 miles trail in the mountains. She had already traveled 8 miles and is walking at 3 miles per hour. How long will it take to reach the end of the trail


Write and equation with x as the number of hours it will take to reach the end.

How many hours will it take for Shelly to reach the end of the hiking trail?

Answers

Answer:

8+3x=20

4 hours

Step-by-step explanation:

8+3x=20

3x=12

x=4

8+3x=20.............................

Hideki buys 2 sweaters for $18 each. He can use one of the following coupons:
Coupon 1: Buy one, get one 40% off
Coupon 2: 25% off entire purchase
Which coupon should Hideki use to get a better deal? Use the drop-down menus to show and explain your answer.

Choose...
is a better deal. Coupon 1 would result in a total cost of
Choose...
. Coupon 2 would result in a total cost of
Choose...
.

Answers

Answer:

Choose... Coupon 2

Coupon 2 is a better deal becausse Coupon 1 would result in a total cost of $25.2

Coupon 2 would result in a total cost of $6.5

Choose Coupon 2

Step-by-step explanation:

Coupon 1: 18+(18x0.4) =

Coupon 2: 18+18=26 26x0.25=6.5

Answer:

Coupon 2

Step-by-step explanation:

Find the slope of the line through each pair of points.

1. (19, -16), (-7, -15)
2. (-4, 7), (-6, -4)
3. (20, 8), (9, 16)

Answers

Step-by-step explanation:

1)

[tex] \frac{ y_{2} - y_{1}}{x_1 - x_2} [/tex]

[tex] \frac{ - 15 - ( - 16)}{ - 7 - ( + 19)} [/tex]

[tex] \frac{ - 15 + 16}{ - 7 - 16} [/tex]

[tex] \frac{ + 1}{ - 23} [/tex]

[tex] - \frac{1}{23} [/tex]

2)

[tex] \frac{ - 4 - 7}{ - 6 - ( - 4)} [/tex]

[tex] \frac{ - 11}{ - 2} [/tex]

[tex] + \frac{11}{2} [/tex]

3)

[tex] \frac{16 - 8}{9 - 20}[/tex]

[tex] \frac{6}{ - 11} [/tex]

[tex] - \frac{6}{11} [/tex]

67°
15
h
b
What is the area

Answers

Answer:

1005

Step-by-step explanation:

Assuming this is a rectangle, square, or other 4 sided figure, the ft^2 would be 1005

Simplify
2x( x^3-3x^2+5x-8)

Answers

Answer: =2x^4−6x^3+10x^2−16x

Step-by-step explanation:

HElp wHat iS iT!?!?!??!

Answers

Answer:

a

Step-by-step explanation:

Solve the given quadratic equation 2x2 + x + 1 = 0.

anyone over here who is a half Korean lol






have a great day ​

Answers

Answer:

2×2+x+1=0

4+x+1=0

5+x=0

x=-5

4/5 divided by 2/3 PLEASE HELP

Answers

Answer:

6/5

Step-by-step explanation:

4/5 x 3/2 = 12/10 = 6/5

I WILL GIVE YOU BRAINLIEST, A THANK YOU, AND 5 STARS PLEASE ANSWER
Angelica took a math test and got 14 out of 15 problems correct. What percent of the problems did she get correct? (round to the nearest hundredth)

Answers

rounded to the nearest hundredth is about 94%

On Saturday, you bowl at Show Place Lanes, where renting shoes costs $3 and each game bowled is $4.50. On Sunday, you bowl at Pinz where the shoe rental is $6 and each game bowled is $3. If you spent the same amount each day, how many games, g, were bowled?​

Answers

Answer:

x=2

2 games.

Step-by-step explanation:

3 + 4.50x = A

6 + 3x = A

3 + 4.5(2) = 12

6 + 3(2) = 12

I need help on another question, it keeps saying 7x-7 is wrong.

Answers

Step-by-step explanation:

y = 7x + 1

Slope - Intercept Form

Solve. x =
A
41°
B.
C
Plz help me fast

Answers

Answer:x= 49°

Step-by-step explanation:

what does 58x9234=????

Answers

Answer:

535572

Step-by-step explanation:

Np just for a friend

[tex]\frac{a}{5}[/tex] + 3=8

Answers

a = 25

Explanation:
Subtract 3 from both sides and get a/5 =5, then multiply 5*5 and get a = 25

4x-5y+30=0 in slope-intercept form

Answers

Answer:

y=4/5x+6

Step-by-step explanation:

4x+1 = 13 what number x
would make the equation true

Answers

Answer:

3

Step-by-step explanation:

Which is bigger 1 2/7 or 1 7/20?

Answers

the bigger one is 1 7/20

Answer: 1/27 is greater than 1 7/20 I believe.

Two customers went to the post office to buy postcards and large envelopes. Each postcard costs the same amount and each large envelope costs the same amount.


● The first customer paid $12 for 14 postcards and 5 large envelopes.


● The second customer paid $24.80 for 10 postcards and 15 large envelopes.



What was the cost in dollars of each large envelope?




1. $1.42

2. $1.15

3. $0.63

Answers

Answer:

The first one $1.42

Step-by-step explanation:

1.42x5=7.1 (cost of all envelopes)

12-7.1=4.9

4.9/14=0.35 (one postcard)

10 postcards= 3.5

1.42x15=21.3 (cost of all envelopes)

3.5+21.3=$24.80

Abigail is 5 years older than Brenda.
Brenda is twice as old as Carly.

The total of their ages is less than 40.

What is Abigail’s greatest possible age?
Give your answer as a whole number of years.

Answers

Answer:i i think Brenda 10

Step-by-step explanation:

Age problems are the algebra word problem which deals with the ages of people in the present time.

Given information-

Abigail is 5 years older than Brenda.

Brenda is twice as old as Carly.

The total of their ages is less than 40.

Age problems

Age problems are the algebra word problem which deals with the ages of people in the present time.

Suppose Abigail is A, Brenda is B and Carly is C years old.

As Abigail is 5 years older than Brenda. Thus,

[tex] A=B+5[/tex]                .... 1

As Brenda is twice as old as Carly. Thus,

[tex]C=\dfrac{B}{2} [/tex]                    ..... 2

As the total of their ages is less than 40.

[tex]A+B+C=40[/tex]

Keep the values of A and C from the equation 1 and 2 in the above equation,

[tex]\begin{aligned}\\ B+5+B+\dfrac{B}{2} &=40\\ 2B+\dfrac{B}{2} &=35\\ \dfrac{4B+B}{2}&=35\\ B&=\dfrac{35}{5} \times2\\ B&=14\\ \end[/tex]

Thus the Brenda is 14 year old. As the Abigail is 5 years older than Brenda. Thus the age of the Abigail is,

[tex]A=14+5\\ A=19[/tex]

Thus the Abigail is 19 year old.

Learn more about the age related problem here;

https://brainly.com/question/91727

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