Una planta procesadora de alimentos desea producir 1000 litros de salsa de tomate con 30%de azúcar. Si tienen una salsa con 25% de azúcar y otra con 45%, ¿qué cantidad de cada clase de salsa deben emplear?

Answers

Answer 1

Answer: Tenemos que usar 750L de la salsa con 25% de azúcar, y 250% con la salsa de 45% de azúcar.

Step-by-step explanation:

Lo que tiene la planta es:

Una salsa con 25% de azúcar

Una salsa con 45% de azúcar.

Vamos a definir dos cantidades, A y B.

A es la cantidad de salsa con 25% de azúcar usada, y B es la cantidad de salsa con 45% de azúcar usada.

Como queremos producir 1000 litros de salsa, tenemos la ecuación:

A + B = 1000 L

Ahora, queremos que el producto final tenga 30% de azúcar.

El porcentaje de azúcar se define como:

(Cantidad de azúcar/Cantidad total de salsa)*100%.

Ahora, si la cantidad A tiene 25% de azúcar, entonces la cantidad total de azúcar es:

0.25*A

Y la cantidad B tiene 45% de azúcar, entonces acá la cantidad es:

0.45*B

Entonces cuando los mezclamos, la cantidad total de azúcar es:

(0.25*A + 0.45*B)

Y usando la formula de arriba, tenemos que:

100%*(0.25*A + 0.45*B)/(A + B) = 30%

Ahora divido ambos lados por 100%.

(0.25*A + 0.45*B)/(A + B) = 0.30

Entonces tenemos un sistema de dos ecuaciones:

A + B = 1000 L

(0.25*A + 0.45*B)/(A + B) = 0.30

El primer paso es aislar una de las variables en una de las ecuaciones, en este caso voy a aislar A en la primer ecuación:

A = 1000L - B

Ahora puedo reemplazar esto en la segunda ecuación:

(0.25(1000L - B) + 0.45*B)/(1000L - B + B) = 0.30

Y ahora lo resolvemos para B.

(250 L - 0.25*B + 0.45*B)/1000L = 0.30

250L + 0.20*B = 0.35*1000L = 300L

0.20*B = 300L - 250L = 50L

B = 50L/0.2 = 250L

Entonces:

A = 1000L - 250L = 750L.

Tenemos que usar 750L de la salsa con 25% de azúcar, y 250% con la salsa de 45% de azúcar.


Related Questions

Calculate the average speed between 160 s to 200 s

Answers

[tex]v=(0-150)/(200-160)=-150/40=-3,75[/tex]Answer:

-3,75

Step-by-step explanation:

Velocity is the derivative of time displacement

The geometric meaning of the derivative-tangent of the angle of inclination of the tangent to the function.

All lines parallel to y = 5x - 7 have a slope of

Answers

Answer:

5

Step-by-step explanation:

[tex]y = 5x - 5 \\ equating \: it \: with \\ y = mx + b \\ slope \: (m) = 5[/tex]

Parallel lines have same slope.

So, slope of required line = 5

PLEASE HURRY IM GIVING BRAINLIEST AND 50 POINTS!!! for the function g(x) = x - 2x^2, find g(-3) + 13

Answers

Hey there! I'm happy to help!

If we have g(-3) we plug -3 into our function as x.

-3-2(-3)²

-3-2(9)

-3-18

-21

g(-3) is -21, so now we just add 13.

-21+13=-8

The answer is -8.

Have a wonderful day! :D

Find the slope of the line passing through each of the following pairs of points and draw the graph of the line.

(6, −7), (6, 1)

Answers

Answer: undefined; vertical line

Step-by-step explanation:

To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{1-(-7)}{6-6} =\frac{8}{0}[/tex]

The slope is undefined because you cannot divide anything by 0.

The graph of the line is a vertical line at x=6. We know this because the points are both at x=6, with different y-values.

graph y = -1/4x + 6​

Answers

Answer: SEE BELOW

If you need further explanation about how to graph, please let me know.

Hope this helps!! :)

this is the answerisjsjdndjdn

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Answers

Answer:

(8x)^(2/3

Step-by-step explanation:

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Answers

Answer:

the answer is d i think try it.

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Answer:

Hope you understand not to sure but that's what I got

Solve for x and check: 1/2x - 3 =25

Answers

Answer:

14

Step-by-step explanation:

Step 1:

1/2x - 3 = 25

Step 2:

1/2x = 28

Answer:

x = 14

Hope This Helps :)

Point V is on line segment UW, given VW = x + 7, UW = 3x - 9, and UV = 8, determine the numerical length of UW

Answers

Answer:

The numerical length of UW is 27

Step-by-step explanation:

Today only, a table is being sold at a 26% discount. The sale price is $481.
What was the price yesterday?

Answers

$481 is 74%
$x is 100%

481 x 100 = 48100
48100 / 74 = 650

the price was $650

Answer:

The price yesterday was 650

Step-by-step explanation:

X is the price yesterday

There is a 26% discount

That means today we pay 100 -26 = 74 %

x* 74% = 481

.74x = 481

Divide each side by .74

.74x/.74 = 481/.74

x = 650

The price yesterday was 650

what the facters of 18​

Answers

☽------------❀-------------☾

Hi there!

~

[tex]1, 2, 3, 6, 9, 18[/tex]

The factor pairs of 18 are:

[tex]1 \times 18 = 18\\2 \times 9 = 18\\3 \times 6 = 18[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

1, 2, 3, 6, 9, 18

Step-by-step explanation:

1*18=18

2*9=18

3*6=18

There are no other factors, Hope this helps!!

The probability that Chloe is happy given that she has had dinner by 6pm is 0.9. The probability that Chloe is not happy given that she has not had dinner by 6pm is 0.8. Assume that there is a 60% chance that Chloe eats dinner by 6pm on a given day. a) If Chloe is not happy at 6pm, find the probability that she has not had dinner yet. b) If Chloe is happy at 6pm, find the probability that she has already had dinner.

Answers

Answer:

a) If Chloe is not happy at 6pm,  the probability that she has not had dinner yet =P(B/D)= 0.8

b) If Chloe is happy at 6pm,the probability that she has already had dinner= P(A/C) = 0.9

Step-by-step explanation:

Let A be an event that Chloe is happy given that she has had dinner by 6pm

P(A) =  0.9

Let B be an event that  Chloe is not happy given that she has not had dinner by 6pm

P(B) = 0.8.

Let C be an event that Chloe eats dinner by 6pm on a given day

P(C) = 60%=0.6

Let D be an event that Chloe does not eat dinner by 6pm on a given day

P(D) = 1- 60%=1- 0.6= 0.4

This requires conditional probability .

Part a

P(B/D)=P(B∩D)/P(D)

P(B∩D) = 0.8 *0.4=0.32

P(D) = 0.4

P(B/D)=P(B∩D)/P(D)

         = 0.32/0.4= 0.8

P(B)= P(B/D)

0.8 is equal to 0.8

This shows that the  events are independent.

b)

P(A/C)= P(A∩C)/ P (C) = 0.9*0.6/0.6= 0.9

Which is again equal to probability of event A showing that the events are independent.

Find AB if (-9,2) and B(5,-4)​

Answers

Answer 1,-8

Step-by-step explanation:

9+x=10

x=1

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y=-8

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what is the median 9 7 6 10 3 4 6

Answers

The correct answer is 7

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Answers

Answer:

x = -1

Step-by-step explanation:

7^(3x+7) = 7^(-8x-4)

First Step: Cancel out like bases.

3x + 7 = -8x - 4

Second Step: Add 8x on both sides.

11x + 7 = -4

Third Step: Subtract 7 on both sides.

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Fourth Step: Divide by 11 on both sides.

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Andrew was making a science project for school. He worked for 6.6 hours the first week, 2.75 hours the second week, and 4.4 hours the third week.

Andrew used the following mental math strategy to find the total number of hours he worked on his project.

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Answer:

Step-by-step explanation:

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What are the coordinates of the vertices of AA'B'C' after each movement?

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Answer:

The answer is in the picture attached.

Step-by-step explanation:

Edmentum Sample Answer

Answer:

Step-by-step explanation:

(1-,1, (2,0), ( 3,-2 )

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Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression? o
(x2 – 7)(x - 5)
(x2 – 7)(x + 5) •
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(x2 + 5)(x – 7)​

Answers

Answer: C

.................................................................

The expression is a polynomial expression, and the factored expression of x³ - 7x² - 5x + 35 is (x² - 5)(x - 7)

How to factor the expression?

The expression is given as:

x³ - 7x² - 5x + 35

Factorize the expression

x²(x - 7) - 5(x - 7)

Factor out x - 7 in the expression

(x² - 5)(x - 7)

The above expression cannot be further factorized.

Hence, the factored expression of x³ - 7x² - 5x + 35 is (x² - 5)(x - 7)

Read more about factorized expression at:

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the statement formed when an equal sign is placed between two expressions is called

Answers

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Step-by-step explanation: In math a equal sign put in between two expressions is called an equation.    :)

how do you compute overtime pay?​

Answers

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Answers

Answer:

The student needs a minimum score of 81 on the fourth test to ensure a grade of at least a C in the class.

Step-by-step explanation:

Remember what an average is. (Look at the hint at the bottom of the problem.)

To find the average of a set of numbers, add all the numbers and divide by the number of numbers.

For example, if in a class you took 8 tests, the average of the 8 tests is the sum of the 8 scores divided by 8.

In this case, the student took 3 tests and is taking one more, so in the end there will be 4 scores. The number of tests is 4.

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To find the average of the 4 scores, we add them and divide the sum by 4.

The three known scores are 63, 62, 74.

The unknown score is x.

Add all 4 scores: 63 + 62 + 74 + x.

Now we divide the sum of the 4 scores by 4 to find the average of the 4 scores.

[tex] \dfrac{63 + 62 + 74 + x}{4} [/tex]

The expression above is the average of the 4 scores. We want the average to be at least 70, so we need the average to be greater than or equal to 70.

We get this inequality.

[tex] \dfrac{63 + 62 + 74 + x}{4} \ge 70 [/tex]

Now we solve the inequality for x.

Add like terms in the numerator.

[tex] \dfrac{199 + x}{4} \ge 70 [/tex]

Multiply both sides by 4.

199 + x = 280

Subtract 199 from both sides.

x = 81

Answer: The student needs a minimum score of 81 on the fourth test to ensure a grade of at least a C in the class.

Which of the following is/are units of velocity? Can select more than one answer A) m/s B) m/s^2 C) km/hr D) km/hr/s E) m/s/s

Answers

Answer:

The answer to your question is m/s which is the A

Answer:

m/s is the answer

Step-by-step explanation:

because

velocity = displacement/time =meter/second

that is m/s

Find the measures of angles 1 through 5 in the figure shown.
Its 4 PARTS​

Answers

Angle 1 = 44
Angle 2 = 136
Angle 3 = 44
Angle 4 = 136
Angle 5 = 62

The measure of angle ∠1 is 44 degrees and the measure of angle ∠5 is 62 degrees.

What is an angle?

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

Angle ∠1 and 46° are complementary angles. Then we have

∠1 + 46° = 90°

        ∠1 = 44°

Angle ∠1 and ∠3 are vertically opposite angles. Then we have

∠1 = ∠3 = 44°

The sum of all the angles of the triangle is 180 degrees. Then we have

∠3 + 74° + ∠5 = 180°

44° + 74° + ∠5 = 180°

                 ∠5 = 62°

More about the angled link is given below.

https://brainly.com/question/15767203

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What is the value of the underline digit? 9.521

Answers

Answer: one

Step-by-step explanation:

Answer:

Step-by-step explanation:

If 9 was underlined it would be 9 ones

If it was 5, 5 tenths

If it was 2, 2 hundreths

If it was 1, 1 thousandth

Hope this helps:)

What is the y-intercept of:
y = x2 - 6x + 5

Answers

Answer:

the y intercept is (0,5)

Step-by-step explanation:

(0,5)

Plug x=0 to get your y-intercept

Brainliest?

Is 9.4 rational or irrational :p, please help

Answers

Answer:

i think its rational.  

Step-by-step explanation:

Express (x-4)^2 as a trinomial in standard form

Answers

Answer:

x² - 8x + 16

Step-by-step explanation:

Step 1: Write out expression

(x - 4)²

Step 2: Expand

(x - 4)(x - 4)

Step 3: FOIL

x² - 4x - 4x + 16

Step 4: Combine like terms

x² - 8x + 16

Find the unknown length y in the pair of similar triangles.

Answers

Step-by-step explanation:

If 2 triangles are similar then the ratio of any 2 sides of one triangles will be equal to the ratio of any 2 sides of the another triangle.

So,

[tex] \frac{30}{8} = \frac{20}{y} [/tex]

Cross-multiplying the denominators gives,

[tex]30y = 160[/tex]

[tex] = > y = \frac{160}{30} = \frac{16}{3} [/tex]

HELP!!! SHOW WORK PLS!! ITS URGENT

Answers

1. Is similar and has a scale factor of 1.5 (since you can divide 4.5 by 3 to find it out)

2. Is not similar since the length of all the sides does not increase the same amount of times.
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