Saul makes Apple Green paint and Citron Green paint.
He mixes green paint with white paint as shown.
Apple Green
green : white = 2:1
Citron Green
green : white = 4:5
He makes 90 litres of Apple Green paint.
To this Apple Green paint he adds 24 litres of green paint.
How much more white paint does he need to add to make Citron Green paint?
Your final line must say, He needs to add ... litres of white paint.

Answers

Answer 1

Answer:

You would need 18 litres more of white paint to create Citron Green paint.

Step-by-step explanation:

Given the Green Apple paint contains 24 litres of green paint in a 2:1 ratio with white paint, we can conclude the mixture contains 12 litres of white paint because 24 / 2 = 12.

In a Citron Green paint mixture, the current paint mixture would contain 24 litres of green paint in a 4:5 ratio with white paint. This would mean there are 30 litres of white paint in this mixture.

24 / 4 = 6

5 x 6 = 30

To make Citron Green paint, you would need 18 litres more of white paint.

30 - 12 = 18

Answer 2

The amount of white paint that needs to be added is required.

He needs to add 75 liters of white paint.

Ratios

Let x be amount of green paint

y be amount of white paint.

Amount of apple green paint is 90 L, so

[tex]x+y=90[/tex]

The ratio of green to white paint is 2:1, so

[tex]\dfrac{x}{y}=\dfrac{2}{1}[/tex]

Rearranging the equation

[tex]x=2y[/tex]

Substituting in the first equation

[tex]2y+y=90\\\Rightarrow y=\dfrac{90}{3}\\\Rightarrow y=30\ \text{L}[/tex]

Amount of white paint is 30 L.

Amount of green paint is [tex]x=2y=2\times 30=60\ \text{L}[/tex]

Amount of green paint added to the apple green paint is 24 L.

Amount of green paint in the mixture is 60+24 = 84 L.

Let the amount of white paint to be added in the mixture be y.

This will be added to the 30 L of white paint in the original mixture.

The ratio of green:white = 4:5, so

[tex]\dfrac{84}{y+30}=\dfrac{4}{5}\\\Rightarrow \dfrac{84\times 5}{4}=y+30\\\Rightarrow 105=y+30\\\Rightarrow y=105-30=75[/tex]

The amount of white paint to be added is 75 L.

Learn more about ratios:

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Related Questions


What is the reference angle or quadrantal angle of sin330°?

Answers

Answer:

-1/2

Step-by-step explanation:

Exact form:-1/2

Decimal form: -0.5

Hope that helps.

If it is correct please click on the crown (only if my answer is correct)

Thank you

19NBoli

write down the rational number
whose numerator = 8 , denominator = 9​

Answers

Answer:

8/9

Step-by-step explanation:

8 numerator

______________

9 denominator

If the diameter of a circular pool is 15 ft, then what is the radius of the pool?
answer choices :
30 ft
15 ft
7.5 ft
5 ft

Answers

7.5 because the radius is half the diameter

Which situation is modeled by the graph?
Height
Time

Answers

Answer:23

Step-by-step explanation:

Solve for X. assume that lines Which appear tangent are tangent.

Answers

Answer:

x = 4, x = 8

Step-by-step explanation:

(9)

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

x(x + 6) = 5(5 + 3)

x² + 6x = 5 × 8 = 40 ( subtract 40 from both sides )

x² + 6x - 40 = 0 ← in standard form

(x + 10)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 10 = 0 ⇒ x = - 10

x - 4 = 0 ⇒ x = 4

x > 0 then x = 4

(11)

Given a secant and a tangent from an external point to the circle, then

The square of the tangent is equal to the product of the external part and the whole of the secant, that is

x(x + 10) = 12²

x² + 10x = 144 ( subtract 144 from both sides )

x² + 10x - 144 = 0 ← in standard form

(x + 18)(x - 8) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 18 = 0 ⇒ x = - 18

x - 8 = 0 ⇒ x = 8

x > 0 then x = 8

IM RELLY DONE I DONT UNDERSTAND THIS
And answer is not (-5.-2) e.t.c
PLS HELP​

Answers

Answer: -5, 1: -5, 2: -8, 1

Step-by-step explanation: Just flip it on the other side

Answer:

(2,5)

(1,5)

(1,8)

Step-by-step explanation:

The reflection line y = x does the following to the coordinates:

(x , y) --> (y , x)

The coordinates swap places.

(5,2)  --> (2,5)

(5,1)   --> (1,5)

(8,1)   --> (1,8)

Please help and explain

Answers

Answer:

Possible b that what I thank it is

Step-by-step explanation:

k+ 6 ≥ 19, if k = 11

Answers

Answer:

Then it would be the other way around 19 ≥ k + 6

Wait for more responses if needed.

The given Inequality is correct when 19 ≥ k + 6.

What is inequality?

Inequality compares "two values, showing if one is less than, greater than, or simply not equal to another one".

Given k + 6 ≥ 19 if k = 11

11 + 6 ≥ 19  substitute k = 11

17 ≥ 19 here Inequality is False.

Hence, 19 ≥ k + 6.

To learn more about Inequality here

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100 points ! What is the area of the following composite figure? All angles are right angles.

24 m^ 2
27 m ^2
29 m^ 2
22 m^ 2

Answers

Answer:

24m²

Step-by-step explanation:

..,.................

Area = 5*4+2*1+2*1

Area = 20+2+2

Area = 24m²

Answer:

24 m^2

Step-by-step explanation:

We need to study the structure well

We can find the magnitude of the big rectangle. We will need to find the total length and total breadth of the big rectangle

Then we remove the area of the four squared cut out from the big rectangle.

Total length of the rectangle is 5+1+1=7m

Then the length of the breath of the rectangle is 2+1+1=4m

So area of rectangle is given as length × breadth

Area= l×b

Area=7×4=28m²

Area of the big rectangle is 28m²

Then the squared is made of dimension 1m by 1m

Area of a square is s²

Then, a=1m

Area of the square= 1²=1m²

There are four squared side

Then, the total area of the four squared is 4×1=4m²

Then the required area is

Area=Total area - area of four squared side

Area=28m²-4m²

Area =24m²

Area of the figure is 24m²

The correct option is A.

Urgent please help..

Answers

Answer:

147cm2

Step-by-step explanation:

area of a circle=πr2

=3*7*7

=147cm2

Prove that 3 + 2√5 is irrational

Answers

Answer:

A rational number is any integer, fraction, terminating decimal, or repeating decimal. The square root is not rational.

good luck, i hope this helps :)

Are You Ready For More?

A loaf of bread is cut into slices.

1. If each slice is 1/2 of a loaf, how many slices are there?

:

2. If each slice is 1/5 of a loaf, how many slices are there?

:

3. What happens to the number of slices as each slice gets smaller?

:

Answers

1. There would be 2 slices as the denominator is 2.

2. There would be 5 slices as the denominator is 5.

3. As each slice gets smaller, the denominator gets bigger, because the bigger the denominator is, the more pieces it needs to make a whole.

Hope this helps :)

There are 2 pieces if each slice is 1/2 of a loaf, and 5 pieces if each slice is 1/5 of a loaf, and the total number of pieces get increases if each slice gets smaller.

What are fractions on number lines?

When fractions are represented on a number line, we can plot them on a number line just like we can with whole numbers and integers. Parts of a whole are represented by fractions. In order to depict fractions on a number line, equal pieces of a whole are divided.

Given A loaf of bread is cut into slices.

1. If each slice is 1/2 of a loaf, how many slices are there,

here slices are  1/2 of the loaf so the loaf is divided into two equal parts,

1/2 + 1/2 = 1

2. If each slice is 1/5 of a loaf, how many slices are there,

here loaf has 5 equal parts,

1/5 + 1/5 + 1/5 +1/5 + 1/5 = 1 loaf

3. What happens to the number of slices as each slice gets smaller?

the value of the denominator in fraction goes on increasing and since the value is increasing the number of slices also gets increases.

Hence there are 2 pieces for 1/2 of the loaf,

5 pieces for 1/5 of the loaf,

and the number of slices increases when each slice gets smaller.

Learn more about fractions on number lines;

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Solve for x in the diagram
A)38
B)16
C)20
D)42

Answers

Answer:

D) 42

Step-by-step explanation:

48 x 2= 96

180 - 96 = 84

84/2 = 42

How would you solve for this problem. The line is parallel to the line y=1/2x +5 and passes through (2,-5).

Answers

Answer:

is 5.8

Step-by-step explanation:

i do it in a calculador so is 5.5

Answer: y=1/2x+5 because it passes through 2,-5 and is parallel to y=1/2x+5  

Write the equation of the line that passes through the points (-6,-6) and (-2,-4) help

Answers

Answer:

y=1/2x-3

Step-by-step explanation:

in a bag of marbles 4 are
blue. 5 are white, and 11 are
red. What is the probability of
NOT drawing a red?

Answers

Answer:

3/4 or a 75%

Step-by-step explanation:

please help and explain ​

Answers

Answer:

Step-by-step explanation:

Fraction of surveyed women who voted for football = 25/72

Percentage = [tex]\frac{25}{72}*100 = \frac{25}{18}*25[/tex]

                  [tex]=\frac{625}{18} = 34.72[/tex]

                  = 35%

Jane and 3 friends decided to split the cost of a pizza evenly. The total cost was $25.48. How much does each friend have to pay?​

Answers

Answer:

$6.37

Step-by-step explanation:

Jane and 3 friends = Jane + another 3 people

= 4 people in total

Total Cost of pizza = $25.48

If 4 people split $25.48 evenly,

Amount each friend has to pay = Total Cost of pizza/Total number of people

= $25.48/4

= $6.37 per friend

Each friend has to pay $6.37 each if $25.48 is splitted evenly amongst them

I don't know why I keep getting 93 ft but it says it's wrong...
Find the perimeter of the figure.

Answers

Answer:

Your answer is 84.

9+9+9+9+9+9 (9x6) +30. 9x6 is 54 so then, you'd have to do 54+30 to get 84.

~Sophia

Answer:

96 ft

Step-by-step explanation:

9 + 9 + 9 + 9 + 12 + 9 + 9 + 30 = 96 ft

–1+–10+–10–5z
answer
now
please-

Answers

Answer:

−5z−21

Step-by-step explanation:

If factored it is :-5z-21

Answer:

-21-5z

Step-by-step explanation:

-1+(-10)+(-10)-5z

-1-10-10-5z

-1-20-5z

-21-5z

Please help will give brainliest please

Answers

the answer to #1 is D and the answer to #2 is both B and E.

Answer:

1- c 75° 2- B and E

Step-by-step explanation:

1- 180- 30= 150 ÷ 2= 75°

Renee bought 6 tickets to a football game. She paid a total of $216. Write an equation to represent the situation

Answers

Answer:

6 × 36 = 216

Step-by-step explanation:

one ticket price: 216 ÷ 6 = $36

Plz help me plz fugugughfufgfhvjgu

Answers

Answer:

B is the only one i know, sorry.

Step-by-step explanation:

Hope this helped

Express the product of (2x+5/2) and (x-1) as a trinomial in simplest form

Answers

Answer:

[tex]\displaystyle 2x^2 + \frac{x}{2} - \frac{5}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsExpand by FOIL (First Outside Inside Last)

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle (2x + \frac{5}{2})(x - 1)[/tex]

Step 2: Expand

[Trinomial] FOIL:                                                                                             [tex]\displaystyle 2x^2 - 2x + \frac{5}{2}x - \frac{5}{2}[/tex][Trinomial] Combine like terms:                                                                     [tex]\displaystyle 2x^2 + \frac{x}{2} - \frac{5}{2}[/tex]

Can someone help me find the gradient for this graph ​

Answers

The line passes through points (0,0) and (7,4)

Gradient = (y2-y1)/(x2-x1) = (4-0)/(7-0) = 4/7

What is XY? .........................

Answers

Answer: B i guess

Step-by-step explanation:

The hypotenuse side XY of given right angle at Z is [tex]5\sqrt{2}[/tex].

Given that in triangle XYZ :

∠X=45°

∠Y=45°

XY=5

And right angled at Z, that is, ∠Z=90°.

Since, ∠X=∠Y=45°

Therefore, XZ=YZ=5

Now,

[tex]\sin \theta = \dfrac{hypotenuse}{opposite}[/tex].

Here, θ=45°.

Therefore,

[tex]\sin \theta=\dfrac{5}{XY}\\\\\sin 45\°^=\dfrac{5}{XY}\\\dfrac{1}{\sqrt{2} } =\dfrac{5}{XY}\\\\XY=5\sqrt{2}[/tex]

Thus, the side XY=[tex]5\sqrt{2}[/tex].

Learn  more about Right triangle here:

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help guys I would appreciate ​

Answers

Answer:

4 + 8

12 >= 12

TRUE

Becuase 12 equals 12

Step-by-step explanation:

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proofs.

Given: Points R, S, T, Q on circle O



Prove: mRS + mST + mTQ = mRQ

Answers

Answer:

Match the number of statement with the same number of reasons.

Step-by-step explanation:

Here are the statements

1.

Points R, S, T, Q on circle O

2.

measure of RS+ST=RT

measure of RT+TQ=RQ

3.RS+ST+TQ=RQ

Here are the reasons

1.Given

2. Arc Addition

3. Subsitution

The area and length of a rectangle are given below. Find the w, the width.

Answers

Answer:

1.5

Step-by-step explanation:

yaaa

Answer: Choice B)   1 & 1/2 feet

This is the same as 1.5 feet and it is equivalent to the improper fraction 3/2.

============================================================

Explanation:

Let's convert the given mixed numbers into improper fractions.

A = 5 & 1/3 = 5 + 1/3 = 15/3 + 1/3 = (15+1)/3 = 16/3

L = 3 & 5/9 = 3 + 5/9 = 27/9 + 5/9 = (27+5)/9 = 32/9

So the area and length are 16/3 and 32/9 respectively.

-------------------

Let's solve for the width W

area = length*width

A = L*W

16/3 = (32/9)*W

9*(16/3) = 9*(32/9)*W ..... multiplying both sides by 9

48 = 32W

32W = 48

32W/32 = 48/32 ....... dividing both sides by 32

W = 48/32

W = (32+16)/32

W = 32/32 + 16/32

W = 1 + 1/2

W = 1 & 1/2 feet is the width

This is equivalent to 3/2 since 48/32 = 3/2

It's also equivalent to 1.5 because 3/2 = 1.5

I BET NO ONE KNOWS THIS Place a checkmark next to each answer choice that describes a situation in which economic indicators might be helpful. ALL THAT APPLY
A. A business is trying to design the packaging for a new product.
B. A company is considering expanding and building more factories.
C. A college student is writing a paper on current economic trends.
D. A contractor is trying to decide which of two designers to hire to decorate his
model homes.
E. A recent college graduate is trying to decide what type of business to start.
F. The U.S. government is trying to determine how involved they should be in the
economy in 2016.

Answers

Answer:

E, F, B, and C

Step-by-step explanation:

Im just learning about these kind of things and this is a challenging question not going to lie.

I chose B because expanding and building more factories is apart of economics. You need more land to expand your business, but this will also affect the economy.

C seems like a good answer also because writing about economic trends is an important thing in economics. This also helps others learn out the economy and what not to do and what to do to help make our environment a better place.

I chose E because starting a business is apart of economics. A lot of business are apart of economic systems and help money come into our economy.

F is a good answer for me because the U.S government has been apart of America's economic system for a long time just like they are involved with everything else. The government is a big help and a big part of our economy, especially for america.

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