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Semenov [28]
3 years ago
14

A bag contains green tokens and black tokens. There are 24 green tokens in the bag. The ratio of green tokens to black tokens is

8 to 5. Find the number of black tokens in the bag.
Mathematics
1 answer:
AURORKA [14]3 years ago
8 0

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

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Haruka owns an umbrella factory. The revenue, RRR, she makes from selling nnn umbrellas is given by the function R(n)=18nR(n)=18
Levart [38]

<u>Answer:</u>

E(n) = n + 5


<u>Explanation:</u>

The profit is the difference between the amount of money received as a revenue and the amount of money spent as expenses.

<u>This means that:</u>

Profit = Revenue - Expenses


<u>Rearrange the formula to solve for the expenses, we get:</u>

Expenses = Revenue - Profit


<u>We are given that: </u>

Revenue = R(n) = 18n

Profit = P(n) = 17n - 5


<u>Substitute in the above formula to get the formula for expenses as follows:</u>

E(n) = R(n) - P(n)

E(n) = 18n - (17n-5)

E(n) = 18n - 17n + 5

E(n) = n + 5


Hope this helps :)

5 0
3 years ago
Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0 (x + Δx)2 − 3(x + Δx) + 2 − (x2 − 3x + 2) Δx
yawa3891 [41]

\displaystyle\lim_{\Delta x\to0}\frac{(x+\Delta x)^2-3(x+\Delta x)+2-(x^2-3x+2)}{\Delta x}

Expand the numerator as

x^2+2x\Delta x+(\Delta x)^2-3x-3\Delta x+2-x^2+3x-2=(2x-3)\Delta x+(\Delta x)^2

Then in the limit,

\displaystyle\lim_{\Delta x\to0}\frac{(2x-3)\Delta x+(\Delta x)^2}{\Delta x}=\lim_{\Delta x\to0}(2x-3+\Delta x)=\boxed{2x-3}

3 0
3 years ago
A shop sells pairs of trainers for £52 each. They make a percentage profit of 30% on each pair. What was the cost of each pair o
DochEvi [55]

Answer:

£67.60

Step-by-step explanation:

30% of 52 is 15.6

52 + 15.6 = 67.6

I hope this helps, please mark Brainliest, thank you!

5 0
3 years ago
In a study of 100 new cars, 29 are white. Find and g, where
sleet_krkn [62]

Question

<em>In a study of 100 new cars, 29 are white. Find p and q , where p is the proportion of new cars that are white. </em>

Answer:

p = 0.29  and q = 0.71

Step-by-step explanation:

Given

Total new cars =  100

White new cars = 29

Required

Determine p and q

From the question;

<em>p represents white new cars</em>

Hence;

p = 29

Note that;

p + q = 100

Substitute 29 for p

29 + q = 100

29 - 29 + q = 100 - 29

q = 100 - 29

q = 71

The proportion of p is calculate by dividing p by the total number of new cars (Same process is done for q)

For proportion of p

Proportion,\ p = \frac{p}{new\ cars}

Proportion,\ p = \frac{29}{100}

Proportion,\ p = 0.29

For proportion of q

Proportion,\ q = \frac{q}{new\ cars}

Proportion,\ q = \frac{71}{100}

Proportion,\ q = 0.71

6 0
3 years ago
The cost of printing books C varies partly as the amount A charged by the printer
lawyer [7]

The equation connecting C,A and n is  C = 25A - \frac{49990000}{n}

<h3>What is variation?</h3>

Variation is a mathematical term used to show how a quantity behaves when one quantity increases or decreases.

Analysis:

C = AK + M/n

where K and M are constants

when n = 1000, A = 5000, C = 75010

75010 = 5000K + M/1000-----------1

50004 = 10000k + M/200-------------2

solving simultaneously,  K = 25, M = -49990000

C = 25A - 49990000/n

In conclusion, the equation connecting C,A and n is C = 25A - 49990000/n

Learn more about variation: brainly.com/question/6499629

#SPJ1

6 0
2 years ago
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