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


Related Questions

What is the measure of

Answers

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

what is the value of x?

Answers

Answer:

132

Step-by-step explanation:

corresponding angles are the same

Can someone please help me

Answers

Answer:

that is so hard sorry

SOMEONE HELP ME PLEASEEE

Answers

Answer:

A) X≥4

B) Can't see question

C)x<8

D) x>40

E)x≥5

F) Can't see question

G)x ≥43

H) x ≤75

Step-by-step explanation:

Find the unit rate if you got paid $104 for 8 hours of work
and said the answer is 52/4. Is he right or wrong?
what did he do wrong and what is the correct answer?

Answers

he is wrong because he didnt fully simplify the answer, and the answer is $13 per hour

I need help with pre calculus.

Answers

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

This means f(g(2)) becomes f(4). We then repeat the same process as before. Locate 4 in the x row, read straight down til you get to the f(x) row to find that f(4) =  -9

Overall, we can say f(g(2)) = -9

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

Each scooter costs $150 to make. If you made x of them, then it costs 150x dollars. Then tack on the fixed cost of $2000 to get the expression [tex]150x+2000[/tex]

The cost function is [tex]C(x) = 150x+2000[/tex]. We'll subtract this from the revenue function R(x) to get the profit P(x)

[tex]\text{Profit} = \text{Revenue} - \text{Cost}\\\\P(x) = R(x) - C(x)\\\\P(x) = (400x-2x^2) - (150x+2000)\\\\P(x) = 400x-2x^2-150x-2000\\\\P(x) = -2x^2+250x-2000\\\\[/tex]

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

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.

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

Answers

Answer:

$100

Step-by-step explanation:

12x5=60

+40= $100

Answer:

$100

Step-by-step explanation:

This is easy

12x5=60

+40=$100

What is 18x4=9xn? Just tell me the answer.

Answers

Answer:

Step-by-step explanation:

x=0

Answer:

8

Step-by-step explanation:

18×4 = 72

And 72 ÷ 9 = 8

So 9×8 would be 72

Guys please i need help on this, i will give brainliest to the right answers

Answers

i think the answer is 4 hope it helps

what is the value of x (100 points)

Answers

The value of x in the given triangle is 25

Missing sides of right triangle

The triangle shown is a right triangle.

Each side of the triangle can be found by using the Pythagora's theorem

The Pythagora's theorem states that the "square of the hypotenuse equals the sum of the squares of the other two sides"

Applying the Pythagora's theorem:

[tex]x^2=24^2+7^2\\\\x^2=576+49\\\\x^2=625\\\\x=\sqrt{625}\\\\ x=25[/tex]

Learn more on missing sides of right triangle here: https://brainly.com/question/23987176

If f(x)= 5x, what is f^-1(x)?

Answers

Step-by-step explanation:

[tex]f( x) {}^{ - 1} \\ f(x) = 5x \\ y = 5x \\ x = 5y \\ y = \frac{x}{5} \\ f(x) {}^{ - 1} = \frac{x}{5} [/tex]

find the answer given below​

Answers

Answer:

Surface area = 6l^2

Volume = l^3

If total surface area increased by 2, then the length increased by [tex]\sqrt{2}[/tex]

Volume then is increased by ([tex]\sqrt{2}[/tex]l)^3 = 2[tex]\sqrt{2}[/tex]l^3

1 :2 [tex]\sqrt{2}[/tex]

Which is not an option in the question so this question clearly has a problem.

First of all It's supposed to be "then" not "than," so I'm not sure who teaches math without even knowing this basic grammar.

Second of all, if the answer is 8:1 the question should be "If each sides of a cube is doubled" not "the lateral surface area." Come to think of it what even is lateral surface area of a cube if all sides of the cube is supposed to be same.

Or, if the answer is 2:1 then, it should be If height lateral surface area of a cube is doubled by doubling the height and without changing the length and width"  But, then the the shape would no longer be a cube.

Who even wrote this garbage question what.

Help help math math help help

Answers

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

180-78 = 102

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

Answer:

102

Step-by-step explanation:

I’m begging you please please answer my question please please answer me please please

Both factors of 20 and 10
Factors of 20 but not 10
Neither factors of 20 and 10

Answers

Answer:

Factors of 20 and 10: P ∪ Q

Factors of 20 but not 10: U ∩ (P ∪ Q)c

Neither factors of 20 or 10: (P ∪ Q)c

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
w
w weeks

Answers

Answer:

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

Step-by-step explanation:

Our starting height is 5 inches.

It grew at a constant rate of 2.5 inches per week.

A. How tall after 4 weeks?

Well, we can solve by making an equation.

height=5inches+2.5(x)

In this situation, x is 4.

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

Lim ( 3x + 4tan2x)/x
X--》0

Answers

Answer:

where are you from me

Step-by-step explanation:

:philipines

btw ty sayo

HELPPPPP PLSSSSSSSSSSSSSSS

Answers

Answer: $54.66

Step-by-step explanation:

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

46.32 * 0.18 = 8.34 (Unsimplified answer: 8.3376)

Add tip to the cost.

46.32 + 8.34 = 54.66

Correct me if it is incorrect.

Least to greatest (sorry I’m horrible at simple math)

Answers

Step-by-step explanation:

Least to greatest

= 0.919, 0.99, 1.09

Answer:.919,099,1.09

Step-by-step explanation:

Samantha is about to buy her first new vehicle. She knows the model that she wants but all of the vehicles
available at the dealer's showroom have accessories, like fancy wheel hubs, that she doesn't need or want.
Which of the following is likely to be true?

Answers

Answer:

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

Jasmine spends $1,089.72 each month for rent and supplies to run her hair salon. If she charges $18 for a haircut, how many haircuts must Jasmine do to cover her monthly expenses? Round to the nearest whole number.

Answers

Answer: 61 haircuts

Step-by-step explanation:

The mother is really tall (T) and the allele for this particular trait is dominant to the short (t) gene. The fathers phenotype is short (t). What will the genotype and phenotype percentages be for the the F1 generation? (hint: there may be more than one possible answer).

Answers

If tall is completely dominant over short, then the mother's genotype is either TT or Tt. The father is short so his genotype is tt.

Crossing TT with tt produces only heterzygous offspring with genotype Tt. Then the genotypic and phenotypic ratios are 0 TT : 1 Tt : 0 tt and 1 tall : 0 short, respectively. As percentages, these would

• geno:   0% TT : 100% Tt : 0% tt

• pheno:   100% tall : 0% short

Crossing Tt with tt on the other hand produces offspring with genotype either Tt or tt with equal probability, so that the geno and pheno ratios are 0 TT : 1 Tt : 1 tt and 1 tall : 1 short. As percentages,

• geno:    0% TT : 50% Tt : 50% tt

• pheno:   50% tall : 50% short

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

Answers

Answer:

$100

Step-by-step explanation:

sum the parts of the ratio, 2 + 5 = 7 parts , then

$350 ÷ 7 = $50 ← value of 1 part of the ratio , then

2 parts = 2 × $50 = $100 ← smaller share

A professional guitarist charges a flat amount for performances at restaurants and events. He played 6 performances over 2 weeks and made a total of $420. Write an equation and solve for the amount he makes for each performance.

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

The equation would be:

x=420

Then we would divide both sides by 6

6÷6×x=420÷6

which would make the equation

x=70

meaning that the guitarist makes 70$ per performance

Let performances be x

[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]

please help with this problem!!​

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'."

Line f has a slope of -9/7. Line g is perpemdicular to f. What is thr slope of line g

Answers

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

How much power does it take to lift a 40N object. 8 meters high in 3 seconds. Show work 8)

Answers

Answer:

Step-by-step explanation:

power = work / time

work = force x distance

force = newtons

w = fd

w = 40N(8m)

w = 320J

p = w/t

p = 320J/3s

            __

p = 106.66

(sixes repeat)

A square plywood platform has a perimeter which is 11 times the length of a side,
decreased by 42. Find the length of a side. (P = 4L)

Answers

Answer:

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

Answer:

20 cm³

Step-by-step explanation:

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

Answers

Answer:

rectangle= 22*9 = 198ft

triangle=11*10 = 110 ft

110+ 198 = 308 polygon

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