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SVETLANKA909090 [29]
2 years ago
9

Marianne has been collecting donations for her biscuit stall at the school summer fayre. There are some luxury gift tins of bisc

uits to be sold at £5 each, normal packets at £1 each, and mini-packs of 2 biscuits at 10p each. She tells Amy that she has recieved exactly 100 donations in total, with a collective value of £100, amd that her stock of £1 packets is very low compared with the other items. Amy wants to work out how many of each item Marianne has. Show how she can do it.
Mathematics
2 answers:
sergeinik [125]2 years ago
7 0
The problem conditions give rise to 2 equations in 3 unknowns. Let L, M, N represent the number of Luxury, Mini, and Normal packets sold.
.. L +M +N = 100 . . . . . . the number of packets sold
.. 5L +0.1M +N = 100 . . the value of donations
These result in the relationships
.. L = (9/40)M
.. N = 100 -(49/40)M

There are three integer solutions in which the numbers are non-negative.
.. (L, M, N) = (0, 0, 100) or (9, 40, 51) or (18, 80, 2)

If Marianne sold 100 normal packets, her stock would be "very low" compared to the others.

If Marianne sold 51 normal packets, her stock may be "very low" with respect to the others, depending on how many of each she started with. This might be the solution if we require non-zero numbers of all packets were sold.
Marta_Voda [28]2 years ago
6 0
I don't know what 10p is so before I answer I'd have to know what that is
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N(17+x)=34x−r<br> I need to solve for x
Paraphin [41]

Answer:

The value of x is, x= \frac{17N+r}{34-N}

Explanation:

Given: N(17+x)=34x-r

Distributive Property states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately.

If a\cdot(b+c) =a\cdot b + a\cdot c

Now, using distributive property on left hand side of the given expression as:

N\cdot 17+N\cdot x = 34x-r or 17N+Nx = 34x-r

Addition Property of equality state that we add the same number from both sides of an equation.

Add r to both sides of an equation:

17N+Nx+r=34x-r+r

Simplify:

17N+Nx+r=34x

Subtraction Property of equality state that we subtract the same number from both sides of an equation.

Subtract Nx from both sides of an equation;

17N+Nx+r-Nx=34x-Nx

Simplify:

17N+r=34x-Nx

or

17N+r=x(34-N)

Division Property of equality states that we divide the same number from both sides of an equation.

Divide by (34-N) to both sides of an equation;

\frac{17N+r}{34-N}= \frac{x(34-N)}{34-N}

On Simplify:

x= \frac{17N+r}{34-N}





4 0
2 years ago
Read 2 more answers
ernesto tiene que enviar 4 encomiendas que tienen una masa del total de ocho decimos de kg. ¿que fraccion de kg. tiene cada una
Ber [7]

⭐Solución de problemas: Cada encomiendo tiene un peso de 2 kilogramos. En fracción esto representa 1/4 de la masa total.

Y

¿por qué? Usted tiene una masa total entre los 4 encomiendos de 8 kilogramos, por lo que en orden

para expresar el peso de cada uno de ellos, tenemos

la siguiente expresión: Masa total de encomiendas (kg)/Número de encomiendas (unidad)Sustituimos:

8 kg/4 s

2 kg por encomiendaOfertamos la fracción que representa cada una en el total:

kg por encomienda/total de kg

2/8 x 1/4

6 0
2 years ago
Tan20+tan40+tan60.......+tan180=?
Leno4ka [110]
The answer is 0. 
assuming by the dots that it includes tan80 +tan100 +tan120 +tan140 +tan160 in the equation. 
5 0
2 years ago
High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capa
Misha Larkins [42]

Answer:

<u>The correct answer is that a student have to score 1.41 standard deviations above the mean to be publicly recognized.</u>

Step-by-step explanation:

For answering the question, we don't know the score mean of the National Financial Capability Challenge Exam and neither the population or number of students who take the exam. The only information provided is that the public recognition in this normal distribution is only for students that scores in the top 8%. In other words for students above 92% of the population.

With this information, we can go to a Z Score Table and check that for being on the top 8% (above the 92% of any population), your result must be 1.405 standard deviations above the mean.

<u>Rounding the answer to 2 decimal places, it's 1.41 standard deviations above the mean.</u>

7 0
2 years ago
According to one company’s profit model, the company has a profit of 0 when 10 units are sold and a maximum profit of $18,050 wh
grin007 [14]

Answer: Function

f(x) = -2(x-105)^2 +18,050

Step-by-step explanation:

Because only this function satisfies both conditions i.e.

Condition : 1

Profit = 0, when x(items sold) = 10

f(10) = -2(-95)^2 + 18,050 = 0

Condition :2

Profit = 1 , when x = 105

f(105)= -2(105-105)^2 + 18,050 = -2(0) +18,050

f(105) = 18,050.

7 0
2 years ago
Read 2 more answers
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