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3 years ago

When 9 times a number is

Mathematics

1 answer:

timurjin [86]3 years ago

7 0

11

9x+30=140-x
+x +x
___________
10x+30=140
-30 -30
___________
10x=110
Divide by 10 on both sides and boom
X=11

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The equation of three lines are given below

kotykmax [81]

Answer:

The line 2 and Line 3 are perpendicular to each others

But There is no relation between Line 1 and Line 2 , Line 1 and Line 3

Step-by-step explanation:

Given as :

The three line equation is

Line 1 : 2 y = 5 x + 6

Line 2 : y = $\frac{2}{5}$ x - 1

Line 3 : 10 x + 4 y = - 6

Now, The standard equation of line is

y = m x + c

where m is the slope of line

And c is the y intercept

So, From Line 1

2 y = 5 x + 6

or , y = $\frac{5}{2}$ x + $\frac{6}{2}$

I.e y = $\frac{5}{2}$ x + 3

So, slope of this line = $m_1$ = $\frac{5}{2}$

Again , From Line 2

y = $\frac{2}{5}$ x - 1

So, slope of this line = $m_2$ = $\frac{2}{5}$

Similarly , From Line 3

10 x + 4 y = - 6

I.e 4 y = - 6 - 10 x

or, y = - $\frac{6}{4}$ - $\frac{10}{4}$ x

I.e y = - $\frac{5}{2}$ x - $\frac{6}{4}$

So, Slope of this line = $m_3$ = - $\frac{5}{2}$

<u>Now, If the lines are parallel , then the slope of the lines are equal</u>

<u>And If the lines are perpendicular , then the product of the slopes of the lines = - 1</u>

Now, From given lines

$m_2$ × $m_3$ = $\frac{2}{5}$ × ( - $\frac{5}{2}$ )

I.e $m_2$ × $m_3$ = - 1

So, The line 2 and Line 3 are perpendicular to each others

But There is no relation between Line 1 and Line 2 , Line 1 and Line 3

Hence The line 2 and Line 3 are perpendicular to each others

But There is no relation between Line 1 and Line 2 , Line 1 and Line 3 Answer

6 0

3 years ago

Hal earns n dollars per hour. Next month he will receive a 2% raise in pay per hour. The expression

Lilit [14]

Answer:

1.02n

Step-by-step explanation:

A simplified version of this expression would be the following

1.02n

This is basically adding the n variables together. We do this by adding a 1 to the number being multiplied to n. This would basically add the 2% on top of what the original pay per hour is. We can prove that these two expressions are the same by substituting n for 10 in both expressions and solving them.

1.02n

1.02 * 10 = 10.2

n + 0.02n

10 + 0.02*10

10 + 0.2 = 10.2

3 0

2 years ago

Kristen can run at 9kmh-1 and walk at 3kmh-1. She completed a 42km marathon in 6 hours. What distance did Kristen run during the

Hatshy [7]

Kristen completed 42 km. We will imagine that she ran all 6 hours. => 9 * 6 =54 km which is more than she actually completed. So we will find a 9 Multiple less than 42 km and that will be 36 km. (9 * 4 = 36 km completed by running) and the rest until 42 were completed by walking (3 * 2 = 6; 6 + 36 =42).

6 0

3 years ago

The residents of city voted.

nika2105 [10]

Answer:

2996

Step-by-step explanation:

5x + 4x = 6741

9x = 6741

x = 6741/9

x = 749

to get the no votes,

4x i.e 4*749

=> 4*749 = 2996

hope this helps :)

7 0

1 year ago

Read 2 more answers

How do I find the slope of a line that passes through?

Natali [406]

Answer:

the slope is m = 0.4

Step-by-step explanation:

use symbolab I use it all the time it gives correct answer and is gives good explanations (this isn't a sponser I've just been using it since the 6th grade lol)

5 0

3 years ago