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3 years ago

Which are correct represntions of the inequality -3(2x-5)<5(2-x)

Mathematics

1 answer:

ziro4ka [17]3 years ago

8 0

Answer:

Hence x > 5.

Step-by-step explanation:

Given:-

- 3(2 x -5) < 5(2-x)

-6 x + 15 < 10 - 5 x

15 - 10 < 6 x - 5 x

5 < x

x > 5

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Find the Discriminant, and determine the number of roots

scoundrel [369]

D I’m 50% sure I searched it up 2

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3 years ago

A woman bought 50 meters of cloth at 60 cedis . she sold the cloth at 1.50 cedis per meter. Find her percentage profit.

Usimov [2.4K]

Answer:

25 %

Step-by-step explanation:

Cost price = 60 Ghana cedis for 50 metres

Selling price = 1.50 cedis for 1 meter

x cedis for 50 meters

Cross multiply

Selling price = 75 cedis

Profit = Selling price - Cost price

75 - 60

Profit = 15

Profit % =

$\frac{profit}{cost \: price} \times \frac{100}{1} \\ \frac{15}{60} \times \frac{100}{1} \\ \\$

Profit % = 25 %

5 0

3 years ago

50 POINTS!!!!!!!!!! Solve for EG. A) 12 B) 15 C) 21 D) 30

Sergio039 [100]

The answer is C) 21, because 6/14 is simplified to 3/7. assuming it’s a pattern 3/7, 6/14, 12/21.

6 0

3 years ago

Read 2 more answers

You want to to buy the PlayStation 5 and it is listed as $449.99 in all the stores

Anna71 [15]

Answer:

Without taxes, the price will be $359.99

Step-by-step explanation:

You take the original price then divide it by ten. Then you multiply that number by 2 to get what 20% of 449.99 is. You then subtract that number from from 449.99. At least I think so. There are other ways to go faster but this is the easiest to understand.

7 0

3 years ago

The number of motor vehicles registered in millions in the US has grown as follows:

zysi [14]

Answer:

a) Figure attached

b) $r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=10 $\sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274$

$r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.819)^2][10(192.8274) -(43.5231)^2]}}=0.989$

So then the correlation coefficient would be r =0.989

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

Solution to the problem

Part a

Year (x): 1940, 1945 1950, 1955, 1960, 1965, 1970, 1975, 1980, 1985

Vehicles (Y): 32.4, 31.0, 49.2, 62.7, 73.9, 90.4, 108.4, 132.9, 155.8, 171.7

After apply natural log for the two variables and create the scatterplot in excel we got the following result on the figure attached.

Part b

And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=10 $\sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274$

$r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.81948)^2][10(192.8274) -(43.5231)^2]}}=0.989$

So then the correlation coefficient would be r =0.989

4 0

3 years ago