An apprentice baker made 40 liters of 60% sugar syrup instead of 40 liters of 45% sugar syrup. How much syrup should she drain and replace with distilled water so that the resulting solution is 40 liters of 45% syrup? Will award brainliest!

Answers

Answer 1

Answer:

10 liters

Step-by-step explanation:

let sugar in  x liters of 60 % sugar syrup be equivalent to sugar in 40 liters of 45 % sugar syrup.

x×60 %=40×45%

60x=40×45=1800

x=1800/60=30

40-30=10

so 10 liters of 60 % sugar syrup be replaced with 10 liters of distilled water to make 40 liters of 45 % sugar syrup.

Answer 2

Answer:  The baker needs to pour off 10 liters of the solution and replace it with 10 liters of distilled water.

.6(40) = 24.  .45(40) = 18  24-18 = 6   6 = .6(10)  10 liters must be substituted.

Step-by-step explanation:

The original 60% solution contains 24 L syrup and 16 L water.

A 45% solution must contain 18 L syrup and 22 L water.

The difference in syrup is 6 L.  10 L of the 60% solution contains 6 L syrup.

After pouring off  10 L, the remaining  30 L will contain 18 L syrup and 12 L water.  

By adding 10 L water, the resulting solution is 18 L syrup and 22 L water.

18/40 = .45 which is the desired 45% syrup.

.


Related Questions

Which of the following capital letters is a reflection image of itself across a horizontal line?​

Answers

Answer:

H is the reflection of itself in the horizontal line

Answer:

A is a reflection across the vertical

PLZ JUST GIVE ANSWER IDC ABOUT EXPLANATION

Answers

Answer:

f(1) = 1

General Formulas and Concepts:

Pre-Algebra

Reading a Cartesian PlaneEvaluating functions from a graph

Step-by-step explanation:

f(1) is x = 1. The question is asking for the y-value, or f(x) value, when x = 1.

According to the graph, when x = 1, y = 1.

Therefore, f(1) = 1.

It’s 1 bro look at the x axis of 1 and u see that the thingy is also on the y axis of 1

what is the correct value of x in the equation 2x + 3= 6​

Answers

Answer:

x=(3/2)  OR  1.5

Step-by-step explanation:

2x+3=6

2x=6-3

2x=3

x=(3/2)  OR  1.5

Answer:

x=1.5

i hope this help :3 mark brainliest please!

thank you! <3

If Bryson had 1/4 of g pie, and he wanted to split il
four different ways for his friends, how much pie
would each friend get?
HELP

Answers

Answer:

1/16

Step-by-step explanation:

Since he has a fourth of a pie and he is splitting it into 4 that would make 16 pieces of the whole pie and they are each getting 1/16

Please HELP!!! WILL MARK BRAINLIEST!!!

Answers

Answer:

B

Step-by-step explanation:

Very easy its B!

Answer:

it's b

Step-by-step explanation:

hope that it helped you

!!!!!Please Help Answer These!!!!!!

6x + 3y = 12 (solve for y)

10x - 5y = 10 (solve for y)

2x - y = 2 (solve for y)

3(1 - 3x) = 2( -4x + 7) what is the value of x

Answers

Answer:

y = 4 - 2x

y = -2 + 2x

y = -2 + 2x

x = 11

pease tell me if I got them wrong

Y=4-2x

Y=-2+2x

NOT SURE

NOT SURE sorry

if p=4 and q =8
3q+2p÷2p+q​

Answers

Answer:

Step-by-step explanation:

3(8)+2(4)÷2(4)+8 PEDMAS

24+8÷8+8

24+1+8

25+8

33

HELPPPP I BEG YOUU!!!! IT IS ALGEBRA 1

Answers

Answer:

The answers are in the screenshot. There wasn't much information to go by, so if the domain and range (and graph) look a little weird, that's why

help me here! cant seem to find the answer.. ;-;

Answers

Answer:

slope equals 3

Slope: (y2-y1)/(x2-x1)
(3,8) and (15,12)
(12-8)/(15-3) = 4/12 = 1/3
The slope is 1/3

i think its six but you know points for u

Answers

Answer:

6 makes the most sense

Step-by-step explanation:

UwU

The answer is 6
You are correct

PLEASE HELP MEE
can someone tell me the answer?

Answers

The answer is ::::::;0

Solve the system of equations by substitution:
y= x - 2
x+y=12

A. (7,5)
B. (5,3)
C. (0, 1)
D. (14, 12)

Answers

Answer:

y=x-2so ...

x+(x-2)=12

2x-2=12

2x=12+2

2x=14

x=14/2

x=7

x+y=12

7+y=12

y=12-7

y=5

What is the slope of the line that goes through the points (-1,4) and (14,-2)?

Answers

Answer:

hi! so we have 2 points right? you will need to use something called the slope formula  y2-y1/x2-x1 we're subtracting our y values of both points and x values of both points while dividing them this gives us a slope of a line

now I want you to label before you do this in your head! it can get confusing to think about it so label label (x1-1,y1 4) (x2 14,y2 -2) now you have them labeled this parts easy! use the formula -2-4/14--1 okay now use your calculator you get -2/5 and now you have your m or slope!

memorize y2-y1/x2-x1  now! it will save you!

Step-by-step explanation:

Answer:

-2/5 is the answer

6. Given the implicit curve x^2-ln(x/y)=1 , Write the linear approximation () of the tangent line at (1,1) A) L(x)=-x-2 B) L(x)= -x+2 C) L(x)= -x-1 D) L(x)= -x+1

Answers

Answer:

B) L(x) = -x + 2

Step-by-step explanation:

To find the tangent at (1,1), we differentiate x² - ln(x/y) = 1 with resect to x.

So, x² - ln(x/y) = 1  

x² - (lnx - lny) = 1

x² - lnx + lny = 1

differentiating both sides with respect to x, we have

d{x² - lnx + lny]/dx = d1/dx

dx²/dx - dlnx/dx + dlny]/dx = d1/dx

2x - 1/x + 1/y(dy/dx) = 0

1/y(dy/dx) = 1/x - 2x

dy/dx = y(1/x - 2x)

dy/dx evaluated at (1,1) is

dy/dx = y(1/x - 2x)

= (1)(1/1 - 2(1))

= 1 - 2

= -1

This is the gradient of the tangent line.

To find the equation of the tangent line, we use (y - y')/(x - x') = m where y' = 1, x' = 1 and m = gradient of line = dy/dx = - 1

(y - y')/(x - x') = m

(y - y')/(x - x') = dy/dx

(y - 1)/(x - 1) = -1

cross-multiplying,

y - 1 = -1(x - 1)

expanding the bracket, we have

y - 1 = -x + 1

adding + 1 to both sides, we have

y -1 + 1 = -x + 1 + 1

y = -x + 2

So, L(x) = -x + 2

Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test. Upper H 0​: pequals0.6 versus Upper H 1​: pgreater than0.6 nequals200​; xequals135​, alphaequals0.05 Is np 0 (1 minus p 0 )greater than or equals​10.

Use technology to find the P-Value.

Answers

Answer:

Step-by-step explanation:

From the given information:

The null and the alternative hypothesis can be well written as:

[tex]H_o:P=0.6[/tex]

[tex]H_1:P>0.6[/tex]

Given that:

n = 200

x = 135

Alpha ∝ = 0.05 level of significance

Then;

⇒ [tex]n \times p\times (1-P)[/tex]

= 200 × 0.6 × (1 -0.6)

= 200 × 0.6 × 0.4

= 48 ≥ 10

The sample proportion [tex]\hat P = \dfrac{x}{n}[/tex]

[tex]= \dfrac{135}{200}[/tex]

= 0.675

The test statistics [tex]Z = \dfrac{\hat P - P}{\sqrt{ \dfrac{P(1-P)}{n} }}[/tex]

[tex]Z = \dfrac{0.675 - 0.6}{\sqrt{ \dfrac{0.6 \times 0.4}{200} }}[/tex]

[tex]Z = \dfrac{0.075}{\sqrt{ \dfrac{0.24}{200} }}[/tex]

Z = 2.165

The P-value = P(Z > 2.165)

= 1 - P(Z < 2.165)

From the z tables

= 1 - 0.9848

= 0.0152

Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).

Thus, there is enough evidence to conclude that the value of the population proportion is greater than 0.6

Express using algebra. Five more than twice x.

Answers

Answer:

2x+ 5

Step-by-step explanation:

answer: 2x+5

hope this helped

She buys packages of 12 trading cards to add to her collection. After she adds 16 packages to her existing collection, she has a total of 274 cards.

Write a function to model the size of Sabrina’s collection.

Enter the correct equation in the box.

Answers

Answer:

x + (12x16) = 274

Step-by-step explanation:

each package = 12

16 packages

16x12= 192

x + 192 = 274

274-192=82

x =  82

The function to model the size of Sabrina’s collection is x + (12× 16) = 274.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Total cards =  cards

Each package = 12

let the size of Sabrina collection be x

Then, x + (12× 16) = 274

x + 192 = 274

x =  274- 192

x= 82

Hence, the function to model the size of Sabrina’s collection is x + (12× 16) = 274.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2

Solve: Use Substitution
8x + 4y = 12
y = -2x + 3


Please help me!

Answers

Answer:

(x,y) =(3/14,3/14)

Step-by-step explanation:

8x+ 4y=-2x+3           WRITE AS SYSTEM OFEQUATIONS

12y=-2x=3                  simplify expressions

10x +4y =3

2x+12y=3 .......multiply both sides of the equation by -5

10x +4y=3

-10x -60= -15        sum both equations to eliminate a variable  (10x cancels

                                                                                                      and 3+-5 +-12

-56y= -12          divide both side by -56                                                                                

y=3/14

2x+12x3/14=3    substitute the given value of y into the equation

x=3/14

Your firm is contemplating the purchase of a new $570,000 computer-based order entry system. The system will be depreciated straight-line to zero over its five-year life. It will be worth $58,000 at the end of that time. You will save $270,000 before taxes per year in order processing costs, and you will be able to reduce working capital by $73,000 (this is a one-time reduction). If the tax rate is 35 percent, what is the IRR for this project? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.G., 32.16.)

Answers

Answer:

IRR = 31.93%

Step-by-step explanation:

Depreciation = 570,000/5 = 114,000

Calculation of Operating cash flow

Operating income = 270000 - 114000 = 156,000

Tax = 156,000 * 35% = 54,600

Operating cash flow = Operating income + Depreciation - Tax = 156,000 + 114,000 - 54,600 = 215,400

Calculation of initial investment

CF0 = Initial investment - Working capital = 570,000 - 73,000 = 497,000

Calculation of the last year cash flow

CF5 = OCF + After tax salvage - Net working capital = 215,400 + 37,000 - 73,000 = 180,100

Calculation of IRR

IRR for the project = IRR(Cashflow from year0, 1, 2,3,4,5) "as attached below picture below"

IRR for the project = 31.93%

in the figure given alongside find angle ACD angle ADC and angle DAE​

Answers

You have not given the figure

Whats the slope of the line shown in the graph?

Answers

Answer:

3/2

Step-by-step explanation:

I know this answer is correct, because I did it on edge.

how many times greater is 1,560,000 than 260,000

Answers

6 times greater djdjjdjd

The scatterplot below shows the relationship between the maximum height in feet, x, of several roller coasters and their top speed in miles per hour, y. Describe the direction, form, and strength, as well as any unusual observations .

A) The association between maximum height and top speed is positive, linear, and strong. There are no unusual observations.

B)The association between maximum height and top speed is positive , linear, and strong. There is one unusual observation at approximately (170, 150) .

C) The association between maximum height and top speed is positive, nonlinear, and strong. There is one unusual observation at approximately (170, 150) .

D) The association between maximum height and top speed is positive, linear, and moderate. There are no unusual observations.

E) The association between maximum height and top speed is positive, nonlinear, and moderate . There is one unusual observation at approximately (170 , 150)

Answers

Answer:

b

Step-by-step explanation:

i took the test

Antonio purchased adult and child tickets for the fair tickets cost $29.35 for each adult and $17.45 for each child let’s X represent the number of adult tickets purchased and Y represent the number of children tickets purchased right expression to represent the total cost of the tickets Atonio purchased

Answers

Answer:

29.35x+17.45y

Step-by-step explanation:

the adult tickets are 29.35 dollars and are represented as x. then multiply them. the child tickets are 17.45 dollars and are represented as y. multiply them too. then add them but don't put an equal sign. now that's an expression.

Which of the sets of ordered pairs represents a function? (4 points) A = {(−5, 5), (−2, 2), (2, −2), (5, −5)} B = {(4, 2), (3, −2), (9, 4), (11, −3)}

Answers

Answer:

Both of them are functions...

Step-by-step explanation:

Both of them are functions because neither A nor B has a repeated X value in their sets.

Answer:

C

Step-by-step explanation:

They both have different input and output

I need number 10 if you can get 11 then could you help me with that too?


If it is correct I will give a Branliest!!!

Answers

Answer:

10. 3 musicians

11. a) 10 feet

   b) can't read all of it

Step-by-step explanation:

Answer:

#10 should be 3

Step-by-step explanation:

Evaluate D57C-76CA in base 16​

Answers

c₁₆ - a₁₆ = 12 - 10 = 2₁₆

7 < c = 12 in base 16, so borrow 1 from the next place value:

17₁₆ - c₁₆ = 23 - 12 = 11 = b₁₆

In the next place, we replace 5 with 4, but 4 < 6, so borrow 1 from the next place value again:

14₁₆ - 6₁₆ = 20 - 6 = 14 = e₁₆

Replace d with c, so that

c₁₆ - 7₁₆ = 12 - 7 = 5₁₆

and this gives

d57c₁₆ - 76ca₁₆ = 5eb2₁₆

Ms.Clark goes to the store and purchased a 26 lb turkey for $38.74 and two bags of potatoes. Her bill was $50.24. How much was each bag of potatoes? Write and solves the equations.

Answers

Answer:

$5.75

Step-by-step explanation:

50.24 - 38.74 is 11.5

Then, to find how much each potato bag is you need to divide by 2.

11.5 divided by 2 is 5.75.

Each bag of potatoes was 5.75$

What is the area of this triangle? PLEASE HELP!!!!

Answers

9514 1404 393

Answer:

  10 square units

Step-by-step explanation:

The triangle appears to have a base length (JL) of 4 units, and a height (JL to K) of 5 units. The area formula can be used:

  A = (1/2)bh

  A = (1/2)(4)(5) = 10

The area of the triangle is 10 square units.

help me factor x^2 + 9

Answers

x 2 + 9  has no (Real) factors (Unlike  x 2 − 9 )

Explanation:

The most you could do with this is use the quadratic formula on

XXXX x 2 + 0 ⋅ x + 9

to get

XXXX ± 3 i

So you could factor using Complex values:

XXXX x 2 + 9 = ( x + 3 i ) ( x − 3 i )

Other Questions
Hello! answer fast please and thank you! :)Which functions are controlled by the brain stem?balance, posturewaving, catching a balltalking, runninghunger, breathinghope you have a good day! :) What are two misconceptions about the Pilgrims that manypeople believe? Why are they inaccurate? Use examples fromthe text to support your response. PLEASEEE HELPPPPP!!!! Test Scores in Relation to Homework2.100How would you characterize the relationshipbetween the hours spent on homework andthe test scores? Explain.90807060Test Scores503. Draw a line of best fit on the graph.404.30Based on your line, what is the likely testscore of a student who does not study forthe test?20100123894 5 6 7Hours of Homework 3 - 10 = a + 20How do you do this help please it will mean a lot I needddd helppppp pleaseee help me please!!!!!!!!!!!!! A wire is in the shape of square of side 12cm. if the wire is rebent into arectangle of length 14cm, find its breadth. Which figure encloses more areaand by how much? Can someone please help me? Assuming a release of 173 MeV per fission reaction, calculate how many reactions must occur per second to produce a power output of 170 MW . Which of the following instruments is a combination of a percussion and a stringed instrument?A) saxophoneB) pianoC) oboeD) tambourine How do you write an equation in standard form given the slope and one point in the graph? For example, slope = 9 and (-5, 2). What should you do if you are not confident about a doctor's diagnosis? Follow the treatment because the doctor is an expert. Ignore the diagnosis and treatment plan. Search your symptoms online to self-diagnose. Seek a second opinion from another doctor. Name the triangle congruent to ABCABC the door is pulled.(active /yes no question Fill in the blank. If 9/24 =3/x , then x is . Please answer please for f(x)=2x1 and g (x)=x2-7,find (f-g)(x) How are 0.02 and 20 related What is one important similarity between diffusion and osmosis what is one important difference please help I cannot get this New organism produced by mitosis and cell division from one parent