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Semenov [28]
3 years ago
11

Solve 7x - 8 = 3x + 40

Mathematics
2 answers:
AfilCa [17]3 years ago
8 0

Answer:

Step-by-step explanation:

7x-8=3x+40

7x-3x=40+8

4x=48

x=48/4

x=12

Contact [7]3 years ago
4 0

Answer:

7x-8=3x+40\\7x-3x=40+8\\4x=48\\x=12

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Calculate 1.6 ∙ 103 times 3.0 ∙ 10-6. (Box after the "10" in answer is for the exponent.)
Nutka1998 [239]
(1.6 * 10^3) * (3.0 * 10^-6) = 
(1.6 * 3.0) * (10^3 * 10^-6)
4.8 * 10^(3 - 6) =
4.8 * 10^-3 =
4.8 * 1/10^3 =
4.8 / 10^3 =
4.8 / 1000 =
0.0048 <==

7 0
3 years ago
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Each set of points are connected to form a line segment. What is the length of each?
nadya68 [22]

Answer:

i think it's A because of the 5

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3 years ago
Pretul unui obiect este de 800 de lei , cat va costa obiectul dupa o reducere de 25%
Nimfa-mama [501]
Dacá 800 este 100% atunci 25% va fi 800/4 = 200 lei 

deci resultá cá obiectul dupá reducere va costa 800-200 = 600 de lei 

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succes 


7 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
The spinner shown is divided into congruent sections that are labeled from 1 through 7. If the spinner is spun one time, what is
adoni [48]

Answer:

3/7

Step-by-step explanation:

The number of possible results are;

1, 2 , 3 , 4 , 5, 6 , 7 = 7

odd numbers here are;

1, 3 , 5 and 7

non-odd numbers are 2, 4 and 6

So the section not labeled with an odd number is 3

Hence the probability here is that;

3/7

4 0
3 years ago
Read 2 more answers
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