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1 year ago

Find the value of x in the equation below 4=x/5

Mathematics

2 answers:

melomori [17]1 year ago

6 0

Answer:

$\large\boxed{x=20}$

Step-by-step explanation:

How to find the value of $x$ in an equation?

To find the value of $x$ , or any other variable, use Addition, Subtraction, Multiplication or Division. The entire process of solving an equation really boils down to these four mathematical operations.

The first operation to be used in the equation $4=\frac{x}{5}$ is Multiplication. I am going to multiply $5$ by both sides. I will end up with this as my result:

$20=x$ , or $x=20$ .

victus00 [196]1 year ago

3 0

Answer:

x = 9. Rearrange variables to the left side of the equation: - x = - 5 - 4

Calculate the sum or difference: x=9

Step-by-step explanation:

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The side of cube is 3m 30cm long, find out its volume

Anettt [7]

90 volume because 3 multiples by 30 = 90

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3 years ago

Convenient store sells prepaid mobile phones a purchase of them for $12 each and uses a markup rate of 250% what is the markup r

kozerog [31]

250%=2.5

Explanation: it just does

4 0

3 years ago

At a drag race, the light turns green and 0.00125 hours later, a dragster is traveling 300 miles per hour. Calculate the acceler

taurus [48]

The acceleration is 98ft/s ²
Hope I helped!

8 0

3 years ago

Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A

belka [17]

Answer:

a) $y=0.00991 x +1.042$

b) $r^2 = 0.7503^2 = 0.563$

c) $r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

$y = mx +b$

Wehre

$m=\frac{S_{xy}}{S_{xx}}$

And:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625$

And the slope would be:

$m=\frac{625}{63085.714}=0.00991$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429$

$\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7$

And we can find the intercept using this:

$b=\bar y -m \bar x=7-(0.00991*601.429)=1.042$

And the line would be:

$y=0.00991 x +1.042$

Part b

The correlation coefficient is given by:

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

For our case we have this:

n=7 $\sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354$

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

The determination coefficient is given by:

$r^2 = 0.7503^2 = 0.563$

Part c

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

4 0

3 years ago

One coin is taken at random from a bag containing 5 nickels, 3 dimes, and 6 quarters. Let X be the value of the coin selected. F

Fynjy0 [20]

Answer:

14.64 cents

Step-by-step explanation:

5(5/14) + 10(3/14) + 25(6/14)

= 205/14

Approx. 14.64 cents

7 0

3 years ago