Poppy is the manager of a unisex hair salon.
The salon uses a mixture of three products for hair colouring
This table shows the number of millilitres (ml) of each product used for the mixture
Product
Amount
Colour
30ml
Developer
60ml
Conditioner
60ml
Poppy has the following amount of each product in stock
3.5 litres of Colour
0.5 litres of Developer
2.2 litres of Conditioner
The salon has about so appointments for hair colouring per month
Poppy can only order products in whole litres.
For next month, she thinks she has enough colour and conditioner in stock but she needs to
order 4 litres of developer
24 Is Poppy correct?
Explain your answers
Show your working
Examiner
use only
(5 marks)

Answers

Answer 1

The content of the mixture, which are the colour, developer, and

conditioner, are in a fixed proportion to each other.

Poppy is incorrect, she should order 3 liters of developer and 1 liter of conditioner.

Reasons:

The table of the amount of each product used in the mixture are;

[tex]\begin{tabular}{|c|c|c|c|}Product&Colour&Developer&Conditioner\\Amount&30 ml&60 ml&60 ml\end{array}\right][/tex]

The number of appointment per month = 50

The quantities used per month have a proportional relationship

Quantity used a month are;

Colour = 30 ml × 50 = 1,500 ml

Developer = 60 ml = × 50 = 3,000 ml

Conditioner = 60 ml × 50 = 3,000 ml

Quantity available are;

Colour = 3.5 liters

Developer = 0.5 liters

Conditioner = 2.2 liters

The quantity needed = Quantity used - Quantity available

Therefore;

Quantity needed are;

Colour = 1,500 ml - 3,500 ml = -2,000 ml

Developer = 3,000 ml - 500 ml = 2,500 ml

Conditioner = 3,000  ml = 2,200 ml = 800 ml

Therefore, Poppy has enough colour but she needs 2,500 ml of developer and 800 ml conditioner

Therefore, she should order;

3,000 ml = 3 liters of developer

1,000 ml = 1 liter of conditioner

Therefore;

Poppy is incorrect, she should order 3 liters of developer and 1 liter of conditioner.

Learn more about proportional relationships here:

https://brainly.com/question/25610267

https://brainly.com/question/14567016


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Step-by-step explanation:

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Answer:

102 degrees below horizontal

Step-by-step explanation:

if the first angle is 78 degrees, the angle on the other side of the line is 102 degrees because a straight line is 180 degrees, and a box would have a total of 360 degrees in it

because the same line passes through both horizontal lines, the angle 3 is equal to the opposite angle to the 78

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another way to look at it is that the 78 degrees is the same angle directly above angle 3 because the horizontal lines are parallel, and if it is 78 degrees, that makes the angle below it (angle 3) 102 degrees since a straight line must add to 180 degrees

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Step-by-step explanation:

The 18% turns into 0.18, they mean the same thing.

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Correct me if it is incorrect.

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The value of x in the given triangle is 25

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Applying the Pythagora's theorem:

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Answer:

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Answer:

Step-by-step explanation:

power = work / time

work = force x distance

force = newtons

w = fd

w = 40N(8m)

w = 320J

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p = 320J/3s

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p = 106.66

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$ 350 is shared in the ratio 2:5. The SMALLER share is

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Answer:

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Step-by-step explanation:

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At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after
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Answers

Answer:

A=15 inches. B=h=5+2.5w inches

Step-by-step explanation:

Our starting height is 5 inches.

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A. How tall after 4 weeks?

Well, we can solve by making an equation.

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Height will be 15 inches.

B. This is just asking for the equation.

We already did that in part a!

We just need to switch x out with w.

h=5+2.5w

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Answer:

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Neither factors of 20 or 10: (P ∪ Q)c

A square plywood platform has a perimeter which is 11 times the length of a side,
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Answer:

Step-by-step explanation:

Find the perimeter and area of this polygon. (Geometry)

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Answer:

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triangle=11*10 = 110 ft

110+ 198 = 308 polygon

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Answer:

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Who even wrote this garbage question what.

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Answers

The slope of line F is 9/7 without the negative symobolb
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Answer:

Step-by-step explanation:

x=0

Answer:

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Step-by-step explanation:

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Answer:

Samantha wants a simple, starter car, or the extra accessories have a higher price than the one's without it.

Find the unit rate if you got paid $104 for 8 hours of work
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Answer:

Step-by-step explanation:

As BA = BC, this is an isosceles triangle and the angles adjacent the equal length legs are also identical.

∠C = ∠A = 56°

B = 180 - 2(56) = 68°

Answer:

56°

Step-by-step explanation:

It is because Angle A = Angle C,since triangle ABC is isosceles triangle are equal

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Answer: 61 haircuts

Step-by-step explanation:

I need help with pre calculus.

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Question 1

Answer:  Choice A) -7

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

Explanation:

To compute f(g(2)), we'll first need to find g(2).

Locate 2 in the x row. Then read straight down until you get to the g(x) row. You should find that g(2) = 4

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We do the same set of steps to compute g(f(-1)). You should find that f(-1) = -1 and g(f(-1)) = g(-1) = -2

Lastly, we subtract the results we got:  

f(g(2)) - g(f(-1)) = -9 - (-2) = -9+2 = -7

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

Question 2

Answer: Choice B)  0

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

Explanation:

If you were to graph each equation, you should get what you see below.

The red and blue curves do not intersect in any way. We need an intersection point to have a solution. Because there are no intersections, we don't have any solutions. The system is considered inconsistent.

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

Question 3

Answer: Choice B[tex]-2x^2+250x-2000[/tex]

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

Explanation:

x = number of scooters made and sold

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

Question 4

Answer: Choice B

[tex]\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}[/tex]

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

Explanation:

[tex]g(x) = \frac{1}{x+1}\\\\g(f(x)) = \frac{1}{f(x)+1}\\\\g(f(x)) = \frac{1}{x^2+x-3+1}\\\\g(f(x)) = \frac{1}{x^2+x-2}\\\\g(f(x)) = \frac{1}{(x+2)(x-1)}\\\\(g\circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\[/tex]

I started with the outer function g(x) and replaced each x with f(x) in the second step. Then I plugged in f(x) = x^2+x-3 and simplified. Factoring the denominator is helpful to determine where the denominator becomes zero. Specifically, it happens when x = -2 and x = 1. These x values must be kicked out of the domain to avoid a division by zero error.

So we start off with the real number line, and poke holes at x = -2 and x = 1.

The notation [tex]x \in \mathbb{R}[/tex] means x is a real number. Then we tack on [tex]x \ne -2, x \ne 1[/tex]

Overall, the domain is [tex]\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}[/tex]

Let's see what happens if we tried plugging x = -1 into this composite function:

[tex](g \circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\(g \circ f)(-1) = \frac{1}{(-1+2)(-1-1)}\\\\(g \circ f)(-1) = \frac{1}{(1)(-2)}\\\\(g \circ f)(-1) = \frac{1}{-2}\\\\(g \circ f)(-1) = -0.5\\\\[/tex]

We don't get a division by zero error, so x = -1 is allowed. The same can be said about any other x value as long as it's not -2 and not 1 either.

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Answer:

A) X≥4

B) Can't see question

C)x<8

D) x>40

E)x≥5

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Step-by-step explanation:

How much pure alcohol must a pharmacist add to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution? ASAP

Answers

20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.

Let x represent the volume of pure alcohol (100%) in cm³ needed to be added. Hence:

x * 100% + 10 cm³ * 10% = 70% * (x + 10 cm³)

x * 1 + 10 * 0.1 = 0.7 * (x + 10)

x + 1 = 0.7x + 7

x - 0.7x = 7 - 1

0.3x = 6

x = 20 cm³

Therefore 20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.

Find out more on equation at: https://brainly.com/question/13763238

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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22
23
The Krishna family of 5 spent $12 per person at the golf
range plus an additional $40 for equipment. How much
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24
i

Answers

Answer:

$100

Step-by-step explanation:

12x5=60

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Answer:

$100

Step-by-step explanation:

This is easy

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+40=$100

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Answers

Answer:

The guitarist makes 70$ a performance

Step-by-step explanation:

To find how much he makes per performance we need to make an equation where how much he makes per performance is x

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x=420

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[tex]\\ \sf{:}\dashrightarrow 6x(2)=420[/tex]

[tex]\\ \sf{:}\dashrightarrow 12x=420[/tex]

[tex]\\ \sf{:}\dashrightarrow x=420/12[/tex]

[tex]\\ \sf{:}\dashrightarrow x=35[/tex]

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Answers

Answer:

1/9 —> 11 1/9%, 1/3 —> 33 1/3%, 5/9 —> 55 5/9%, and 8/9 —> 88 8/9%

Step-by-step explanation:

Answer:

its easy. just match numbers that look close to each other

Step-by-step explanation:

1. Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain)​

Answers

Answer:

Agree

Step-by-step explanation:

Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."

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