answer.
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
lianna [129]
2 years ago
13

liquid product with 10% product solids is blended withsugar before being concentrated (removal of water) to obtaina final produc

t with 15% product solids and 15% sugarsolids. Determine the quantity of final product obtainedfrom 200 kg of liquid product. How much sugar is required?Compute mass of water removed during con
Mathematics
1 answer:
Nookie1986 [14]2 years ago
7 0

Answer:

mass of the water removed =  66.67 kg

Step-by-step explanation:

given data

solids is blended with sugar = 10%

obtain  final product = 15% product

obtain  final product = 15% sugar solids

The initial product is = 200 kg

solution

we get here amount of sugar required that is

amount of sugar required = 200 × \frac{10}{100}

amount of sugar required =  20 kg

and we know total solid  = product solids +  sugar solids    ...............1

and

initial product =  final product    

so

0.20 ×  200kg= 0.30 ×  mass of the final product

mass of final product = 133.33 kg

but here

final product = 15% product solids and 15% sugar solids

so that amount of product solid = sugar solid

so

mass of the water removed = 200 kg - 133.33 kg

mass of the water removed =  66.67 kg

You might be interested in
Which of the following shows the extraneous solution to the logarithmic equation? log Subscript 4 Baseline (x) + log Subscript 4
vekshin1

<u>Given:</u>

The given equation is \log _{4}(x)+\log _{4}(x-3)=\log _{4}(-7 x+21)

We need to determine the extraneous solution of the equation.

<u>Solving the equation:</u>

To determine the extraneous solution, we shall first solve the given equation.

Applying the log rule \log _{c}(a)+\log _{c}(b)=\log _{c}(a b), we get;

\log _{4}(x(x-3))=\log _{4}(-7 x+21)

Again applying the log rule, if \log _{b}(f(x))=\log _{b}(g(x)) then f(x)=g(x)

Thus, we have;

x(x-3)=-7 x+21

Simplifying the equation, we get;

       x^2-3x=-7 x+21

       x^2+4x=21

x^2+4x-21=0

Factoring the equation, we get;

(x-3)(x+7)=0

Thus, the solutions are x=3, x=-7

<u>Extraneous solutions:</u>

The extraneous solutions are the solutions that does not work in the original equation.

Now, to determine the extraneous solution, let us substitute x = 3 and x = -7 in the original equation.

Thus, we get;

\log _{4}(3)+\log _{4}(3-3)=\log _{4}(-7 \cdot 3+21)

     \log _{4}(3)+\log _{4}(0)=\log _{4}(0)

Since, we know that \log _{a}(0) is undefined.

Thus, we get;

Undefined = Undefined

This is false.

Thus, the solution x = 3 does not work in the original equation.

Hence, x = 3 is an extraneous solution.

Similarly, substituting x = -7, in the original equation. Thus, we get;

\log _{4}(-7)+\log _{4}(-7-3)=\log _{4}(-7(-7)+21)

    \log _{4}(-7)+\log _{4}(-10)=\log _{4}(49+21)

    \log _{4}(-7)+\log _{4}(-10)=\log _{4}(70)

Simplifying, we get;

Undefined = \log _{4}(70)

Undefined = 3.06

This is false.

Thus, the solution x = -7 does not work in the original solution.

Hence, x = -7 is an extraneous solution.

Therefore, the extraneous solutions are x = 3 and x = -7

7 0
2 years ago
Read 2 more answers
FIRST ONE TO ANSWER GETS BRAINLIEST Henry divided his socks into five equal groups. Let s represent the total number of socks. W
Alex777 [14]

Answer: There are 20 socks in the first case and there are 75 socks in the second case.

Step-by-step explanation:

Since we have given that

Number of equal groups = 5

Let the total number of socks be 's'.

According to question, expression will be

Now, Suppose number of socks in each group = 4

So, it will become,

Suppose number of socks in each group = 15

So, Total number of socks become

Hence, there are 20 socks in the first case and there are 75 socks in the second case.

3 0
2 years ago
Joey is measuring the amount of time it takes for a frisbee to fly through the air he uses a stopwatch to time it and find that
marissa [1.9K]

Answer:percent error in Joey's measurement to the nearest 10th of a percent =- 4.6%

Step-by-step explanation:

Step 1

Time as recorded by the stopwatch = 4.82 seconds

Real Time it takes for a Frisbee to fly through the air =5.05 seconds

percent error =   Measured value – True Value /True value  x 100.

= 4.82 - 5.05 / 5.05 x 100

=-0.23/5.05

=-0.0455 x 100

=4.5544%

Rounding to nearest 10th of a percent = - 4.6%

8 0
2 years ago
I also need help with this problem.
nadezda [96]

We will use substitution to solve this system of linear equations, as the first equation has x and y with no coefficients, which makes it easier to find one in terms of the other. We can then substitute that value in the other equation and find the values of x and y.

x = y + 5 ---> equation 1

3x + 2y = 5 ---> equation 2

From equation 1, we get the value of x as y + 5. Using the substitution method, we can find the value of y by substituting (y+5) for x in the 2nd equation.

3(y+5) + 2y = 5

3y + 15 + 2y = 5

5y = 5 - 15

5y = -10

y = -2

Subsituting this value of y in (y+5), we can find x.

x = y + 5

x = -2 + 5

x = 3

Therefore, x = 3 and y = -2.

I will also solve this using elimination method.

Let us multiply equation 1 by 2, so that we get 2y in both equations.

2x = 2y + 10

3x + 2y = 5

Let us add both the equations.

2x + 3x + 2y = 5 + 2y + 10

5x = 15 + 2y - 2y

5x = 15

x = 3

Substituting this value of x in equation 1, we get

x = y + 5

3 = y + 5

y = 3 - 5

y = -2

Therefore, x = 3 and y = -2.

7 0
2 years ago
The Stolen Book. Betty tells Susan that Bob stole her business law book from her car. The next day Susan confronts Bob and slaps
leva [86]
I believe it is a hope this helps
3 0
2 years ago
Other questions:
  • What is the common difference between the elements of the arithmetic sequence below?
    12·2 answers
  • Which of the following are exterior angles? Check all that apply.
    14·2 answers
  • Mike has a net spendable income of $1,400. He decides to set up a budget before looking for an apartment or a car. He sets up hi
    13·2 answers
  • Rafael took 4 pumpkin pies to a family gathering.If he divides each pie into six equal-size slices,haw many slices can he serve
    11·1 answer
  • Amina used the quadratic formula to solve an equation. Her result shows two solutions that are complex numbers with imaginary pa
    15·1 answer
  • A company purchased a delivery van for $28,000 with a salvage value of $3,000 on September 1, Year 1. It has an estimated useful
    14·1 answer
  • There are five sales agents in a certain real estate office. One month Andy sold twice as many properties as Ellen, Bob sold 3 m
    13·1 answer
  • Two cells are viewed and measured under a microscope. The approximate diameter
    9·1 answer
  • Is 1/4a rational number​
    14·2 answers
  • The floor plan of a proposed auditorium shows a stage that measures 1.75 inches in width. The scale of the floor plan is 1in. =
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!