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?

Answers

Answer 1

Answer:

10 l

Step-by-step explanation:

40 l of 60% sugar syrup becomes 40 l of 45% sugar syrup if x l is drained and replaced with distilled water. Sugar content is then:

(40 - x)*0.6 = 40*0.4524 - 0.6x = 180.6x = 24 - 180.6x = 6x = 6/0.6x = 10 l

10 liters solution was replaced with distilled water


Related Questions

who will donate pets on adopt me only answer if you will please?

Answers

Answer:

I can, it depends on what kind of pets tho

A foreign country uses the stellar as its currency. Before a trip to that​ country, Mia wants to exchange ​$1700 to steller's. Which of Bank A and Bank B has the better exchange​ rate? How many more steller's would she get if she exchanged her ​$1700 at the better exchange rate instead of at the other​ rate?

Answers

Answer and explanation:

Stellar is a Brazilian cryptocurrency that is used to facilitate low cost and flexible payment. It was renamed lumens and is denoted XLM.

One stellar lumen is currently equal to $0.219096

For the purpose of the question and since it does not specify exchange rates for each bank, let's assume:

Bank A= 0.219097 to 1 US dollar

Bank B= 0.219099 to 1 US dollar

Using Bank A to exchange $1700 for stellars= $1700*0.219097= 372.464 stellars

Using Bank B to exchange $1700 for stellars= $1700*0.229042= 389.3714 stellars

From the above, we can see that Bank B has a better exchange rate as it is cheaper than Bank A(gives more stellar) . She should therefore use Bank B for her exchange.

Find the solution(s) to the system of equations. Select all that apply.
y= x2 - 4
y=-x-2

A. (-2,0)
B. (0-4)
C. (1, -3)
D. (2,0)

Answers

The solution to a system of equations is where the lines intersect, which are: A. (-2,0) C. (1, -3)

What is the Solution to a System of Equations?

When a system of equations is represented on a graph, the solution to the system of equations is simply the coordinates of the points where the line of the equations intersect.

Thus, the lines intersect at (-2,0) and (1, -3). Therefore, the solution to the system of equations are: A. (-2,0) C. (1, -3)

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The perimeter of a rectangle is 152 meters. The width is 22 meters less than 3/4 of its length. Find the length and width.​

Answers

152 - 22(2) = 108

108 divided by 2 = 54

Answer :

Width = 22
Length = 54

y=−2/9x+3 in standard form using integers

Answers

Ax + bx = c
subtract 3 and subtract y
-2/9x -y = -3
Multiply all by -9 to make integer
2x+9y = 27

A snail travels 10 cm in 4 minutes. At this rate, how long will it take the snail to travel 24 cm?

Answers

Answer:

9.6 minutes

9 minutes 36 seconds

Step-by-step explanation:

10/10 = 1

4/10 = 0.4

24 * 0.4 = 9.6

a prime number is a factor of 42 and 45 what is the prime number​

Answers

Answer:

Common factors between the two numbers is 3 and 1.

Step-by-step explanation:

The factors of 42 are 42, 21, 14, 7, 6, 3, 2, 1.

The factors of 45 are 45, 15, 9, 5, 3, 1.

The value of the prime number which is a factor of 42 and 45 would be  3.

Used a concept of prime number that states,

A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. Numbers that have more than two factors are called composite numbers.

Given that the two numbers are 42 and 45

Now, factors of numbers 42 and 45 are,

The Factor of 42 are

1, 2, 3, 6, 7, 14, 21, 42

And, The factors of 45 are

1, 3, 5, 9, 15, 45

So, the prime number that is a factor of 42 and 45 is 3.

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Write the equation of the line that passes through the points (-4,-4) and (6,3).
Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Please Help‼️

Answers

I hope this helps I took both of the points and used the slope formula to get my slope which is 7/10 then I took any point from those two then I plugged it in to get the point slope form

Answer: y-3=7/10(x-6)

Simplify.(6x−5+4x^2)+(2x−2)

Answers

Combine Like Terms

=6x + −5 + 4 x 2 + 2x + −2

=(4 x 2) + (6x + 2x) + (−5 + −2)

=4 x 2 +8x + −7

Answer - 4 x 2 + 8x + −7

Answer:

(6x-5+4x2) + (2x-2)

Step-by-step explanation:

what google said

PLS MAJOR HELP!!!!!!​

Answers

Answer:

D

Step-by-step explanation:

not completely sure though

C
I just took the quiz

If ABC ≌ DEF, and m∠A = (x + 30)°, m∠C = 45°, and m∠D = 80°, what is the m∠A? A. 15° B. 45° C. 50° D. 80°

Answers

Answer:

I think its 80 not sure

Step-by-step explanation:

The measure of ∠A will be 50°.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Δ ABC ≅ Δ DEF

And, m ∠A = (x + 30)°, m ∠C = 45°, and m ∠D = 80°

Now,

Since, Δ ABC ≅ Δ DEF

Hence,  m ∠A = m ∠D

Substitute all the values, we get;

m ∠A = m ∠D

x + 30 = 80

Subtract 30 both side, we get;

x = 80 - 30

x = 50°

Thus, The measure of ∠A will be 50°.

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Decide whether the pair of lines is parallel, perpendicular, or neither.
Ly: 2x + 3y = 8
L2:3x + 2y = 7
Choose the correct answer below.
A. The lines are neither parallel nor perpendicular.
B. The lines are perpendicular.
C. The lines are parallel.

Answers

Answer:

A

Step-by-step explanation:

We can solve for y for both of the lines' equations to get the point-slope form.

L1: [tex]y=\frac{-2}{3} x+\frac{8}{3}[/tex]

L2:[tex]y=\frac{-3}{2}x+\frac{7}{2}[/tex]

So, the slopes of the two lines are [tex]\frac{-2}{3}[/tex] and [tex]\frac{-3}{2}[/tex].

Remember that parallel lines have the same slope, and perpendicular lines have opposite and reciprocal slopes. These slopes are reciprocal but not opposite.

Hope this helps!

Amaya is excited to go to the used video game store to buy a game system later today. The game system usually costs x dollars, but today it's on sale at 15% off! Enter an expression that represents the sale price of the game system after the discount.

Answers

Answer:

x(85/100)

Step-by-step explanation:

100-15 = 85

x(85/100)

Answer:

0.85x

Step-by-step explanation:

Cost of video game = $x

Discount on sale = 15%

Price of game after discount :

(100 - 15)% * cost of video game

85% * $x

0.85x

Solve (x + 9)^2 = 25.
square root of (x + 9)^2 = + or - square root of 25
1. Apply the square root property of equality:
2. Isolate the variable.
If x + 9 = 5, then x=
If x + 9 = -5, then x =

Answers

if x + 9 = 5 then x = -4

if x + 9 + -5 then x = -14

Answer:

if x + 9 = 5 then x = -4

if x + 9 + -5 then x = -14

Step-by-step explanation:

I dont know how to explain it.  

But it was right on ingenuity

what’s the slope of (9,3) and (2,11)

Answers

Answer:

slope = - [tex]\frac{8}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 3) and (x₂, y₂ ) = (2, 11)

m = [tex]\frac{11-3}{2-9}[/tex] = [tex]\frac{8}{-7}[/tex] = - [tex]\frac{8}{7}[/tex]

Answer:

[tex]\boxed {m = -\frac{8}{7}}[/tex]

Step-by-step explanation:

Use the Slope Formula to help you determine the slope of two given points:

[tex]m =\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

First point: [tex](x_{1}, y_{1})[/tex]

Second point: [tex](x_{2}, y_{2})[/tex]

-Apply the two given points onto the formula:

First point: [tex](9, 3)[/tex]

Second point: [tex](2, 11)[/tex]

[tex]m =\frac{11 - 3}{2 - 9}[/tex]

-Solve for the slope:

[tex]m =\frac{11 - 3}{2 - 9}[/tex]

[tex]m =\frac{8}{-7}[/tex]

[tex]\boxed {m = -\frac{8}{7}}[/tex]

Therefore, the slope is [tex]-\frac{8}{7}[/tex].

Write the square of (2x+1/x)

Answers

Answer:

((2 x^2 + 1)^2)/(x^2)

Step-by-step explanation:

Simplify the following:

(2 x + 1/x)^2

Hint: | Put the fractions in 2 x + 1/x over a common denominator.

Put each term in 2 x + 1/x over the common denominator x: 2 x + 1/x = (2 x^2)/x + 1/x:

((2 x^2)/x + 1/x)^2

Hint: | Combine (2 x^2)/x + 1/x into a single fraction.

(2 x^2)/x + 1/x = (2 x^2 + 1)/x:

((2 x^2 + 1)/x)^2

Hint: | Distribute exponents over quotients in ((2 x^2 + 1)/x)^2.

Multiply each exponent in (2 x^2 + 1)/x by 2:

Answer: ((2 x^2 + 1)^2)/(x^2)

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?

05 cm and 8 cm
06 cm and 7 cm
0 7 cm and 2 cm
O 8 cm and 9 cm

Answers

Answer:

8 cm and 9 cm

Step-by-step explanation:

a + b > 13

1). 5 + 8 = 13

2). 6 + 7 = 13

3). 7 + 2 = 9 < 13

4). 8 + 9 = 17 > 13

HELP ASAP!right answer I’ll give you a crown

Answers

Answer:

[tex]y=-\frac{3}{2}x+1[/tex]

Step-by-step explanation:

Slope-intercept form means

[tex]y=mx+c[/tex]

where m is given its the slope which is [tex]-\frac{3}{2}[/tex] and we have the coordinates x and y which is (4, -5) and we need to find the value of c which is the y-intercept so we insert all these values into the equation so ,

[tex]y=mx+c[/tex]

[tex]-5 = -\frac{3}{2}(4)+c[/tex]

[tex]-5=-6+c[/tex]

[tex]c=1[/tex]

now we know the value of slope which is given [tex]-\frac{3}{2}[/tex] and we found the value of which is 1 so we put these values into our original slope-intercept form equation

[tex]y=mx+c\\\\y=-\frac{3}{2}x+1[/tex]

Wildlife conservationists are concerned that the deer population might not be constant across the National Forest. The scientists found that there were 144 deer in a 16-square-mile area of the forest. In another part of the forest, conservationists counted 117 deer in a 13-square-mile area. Yet a third conservationist counted 216 deer in a 24-square-mile plot of the forest. Do conservationists need to be worried? a. Why does it matter if the deer population is not constant in a certain area of the National Forest? b. What is the population density of deer per square mile? The unit rate of deer per 1 square mile is _______. Constant of Proportionality: Explain the meaning of the constant of proportionality in this problem: c. Use the unit rate of deer per square mile (or 푦 푥 ) to determine how many deer there are for every 207 square miles. d. Use the unit rate to determine the number of square miles in which you would find 486 deer.

Answers

Answer

9 deer per square- mile

Step-by-step explanation:.

PLEASE HELP I WILL MARK BRAINLIEST SHOW WOrK HOW YOU GOT IT

Answers

Answer:

7 . 8.9

8 . 19.5

9 . 9.9

10 .12.6

Step-by-step explanation:

7.x=11tan39

8.x=28cos46

9.x=8tan51

10.x=31sin24

side opposite of mentioned angle is opposite

longest side in triangle is hypotenuse

the side subtended by the angle is the adjacent

jerry bought 5 candy bars for $14.75. if the king size candy bar cost $3.75 and a regular size candy bar cost $1.75, how much of each candy bar did he buy?
one equation looks like:

3.75x+1.75y=14.75

Answers

Answer:

King size(x): 3

Regular size(y): 2

Steps:

System of Equations:

x+y = 5

3.75x+1.75y = 14.75

Multiply 3.75 on all sides.

3.75x+3.75y = 18.75

3.75x+1.75y = 14.75

Subtract top and bottom

            2y  = 4

            /2      /2

             y   =  2

After you know regular size amount, figure out king size ----3.

5-2 = 3.    

x^2 - x -12 < 0
a) {-3}
b) (-infinity, -3) u (3, infinity)
c) (-3, 4)
d) [-3, 4]

Answers

C) is the correct answer

Jade has 3 bags of apples. There are 6 apples in each bag. Select the three models that represent the number of apples Jade has.

Answers

Answer:

6,12,18

3 x 6 = 18

So Jade has 18 apples in total.

Step-by-step explanation:

PLZ HELPPPP!!!!!!! EASY 10 POINTS *easy*

Answers

Answer:

dialation

Step-by-step explanation: can i hve brainiliest

Answer:

I need 5 Brainliest before I can become Ace

Step-by-step explanation:

least common multiple (LCM) of 4 and 14.

Answers

Answer:

28

Step-by-step explanation:

Answer:

28

Explaination:

Sandra bought 3/4 pound of carrots. she used 2/3 of them for soup. How many pounds of carrots did she use for the soup

Answers

Answer:

She used  14 pounds of carrots for soup.

Step-by-step explanation:

Solve the right triangle with the given information (round to the nearest tenth):

angle B =
b =
a =

Answers

Answer:

Step-by-step explanation:

m∠B = 90°

m∠C = 90° - 27° = 63°

cos27° = [tex]\frac{200}{b}[/tex] ⇒ b ≈ 224.5

sin27° = [tex]\frac{a}{b}[/tex] ⇒ a ≈ 101.9

Alonzo raises sheep and goats. Alonzo sells each sheep for $125 and each goat for $75. Alonzo raised 14 sheep and goats this year and sold them all for a total of $1,500. How many sheep and how many goats did Alonzo sell? ​

Answers

y = -3/2x + 5/2

Explanation-

slope intercept form is y = mx + b

so we have to solve the equation for y

2y = 5 - 3x

y = 5/2 -3/2x

or

y = -3/2x + 5/2

~ I hope this helped, and I would appreciate Brainliest. ♡ ~ ( I request this to all the lengthy answers I give ! )

3 + (-6) = -6 + 3

identity property of addition
associative property of addition
commutative property of addition

Answers

Answer:

Communitive property of addition

Step-by-step explanation:

Answer:

commutative property of addition

Step-by-step explanation:

4 + 2 = 2 + 4 is an example of the commutative property of addition.

MATH MIDDLE SCHOOL HELP PLS ASAP


what is y? put the correct answer

Answers

Answer:

The -2 was not distributed properly. -2 should have been multiplied by 7 and -y, which is -14 + 2yy = 3

I hope this helps!

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