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lana66690 [7]
2 years ago
8

3x−5(x−6)=2(10−x) What does x equal?

Mathematics
2 answers:
quester [9]2 years ago
3 0

Answer:

Step-by-step explanation:

Colt1911 [192]2 years ago
3 0
First you would have to distribute -5 through the first set of parentheses which would make the equation 3x-5x+30=2(10-x). Then you would have to distribute 2 through the second pair of parentheses which makes the equation 3x-5x+30=20-2x. You would then have to collect like terms which gets the equation to -2x+30=20-2x. You then cancel equal terms which makes the solution 30=20 so the statement is false.
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Rowan reads at a constant rate of 1.5 pages per minute and has already
saul85 [17]

Using linear functions, it is found that Rowan and Kennedy will have read the same number of pages in 10 minutes.

What is a linear function?

  • A linear function is modeled by:

y = ax + b

In which:

  • a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

For Rowan, we have that:

  • He has already read 20 pages, hence the y-intercept is b = 20.
  • He reads 1.5 pages per minute, hence the slope is a = 1.5

Then:

y_R = 1.5x + 20

For Kennedy, we have that:

  • He has already read 25 pages, hence the y-intercept is b = 25.
  • He reads 1 page per minute, hence the slope is a = 1

Then:

y_K = x + 25

They will have read the same number of pages after x minutes, for which:

y_R = y_K

Then:

1.5x + 20 = x + 25

0.5x = 5

x = \frac{5}{0.5}

x = 10

To learn more about linear function, you can take a look at brainly.com/question/25823744

3 0
3 years ago
Deon is riding his bicycle. He rides for 7 hours at a speed of 22.4 kilometers per hour. For how many kilometers does he ride
salantis [7]
By hypothesis, Deon is riding at a speed of 22.4 kilometers per hour. So each hour, he completes 22.4 km.

If he rides for 7 hours, he completes 22.4 * 7 = 156.8 km

So in 7 hours, he rides 156.8 kilometers.

Hope this helps! :)
6 0
4 years ago
Write 1,386 as the product of its prime factors. A. 2 x 3 x 3 x 7 x 11 B. 2 x 693 C. 2 x 3 x 7 x 33 D. 2 x 3 x 231
Olenka [21]
Hello there,

The "prime factor's" of 1,386 would be "2*3*3*7*11.

When we multiply those together. We get 1,386.

Hope this helps.

~Jurgen
5 0
3 years ago
Summary
slava [35]
It the multiplication property because you are multiplying 2x=20 so then you divide on both sides with 2 and that gives you 10
5 0
3 years ago
How would you solve these types of geometry questi
Vlad [161]

Answer:

X=13

Step-by-step explanation:

Basically you  want to solve for x

If you look at the image it has a striaght line... A striaght line in Angles means both Angles ADDED together need to be equal to 180.

so we will write it like this (11x-15)+(5x-13)=180

to solve you need to isolate X to do that you need to move some number around but first lets take these numbers out of parenthesis...

11x-15+5x-13=180

Now we need to combine liked terms

our liked terms are 5x and 11x

and -15 and -13

add 5x and 11x= 16x

and add -15 and -13= -28

16x-28=180

Now we need to move a number

easiest number to move is -28

to do so we need to add 28 on both sides to cancel it out from one side.

-28+28=0

180+28=208

16x=208

now we need to isolate x

meaning now we need to divide 16 on both sides...

16/16 =1

1 is same as X because X is one

so it will just be x

208/16=13

x=13

now we need to plug it in to each of the original equations and check our answer

(11(13)-15)= 11*13= 143  143-15= 128

(5(13)-13) = 5*13=65  65-13= 52

now lets see if both of these answers added together equal 180

128+52=180

yes it does so it is correct X = 13

5 0
3 years ago
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