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faltersainse [42]
3 years ago
8

Represent the following statement by an equation: 17 times the sum of a number n and 31 is 357

Mathematics
2 answers:
bagirrra123 [75]3 years ago
5 0
[tex]Ans.\ the\ quation\ is:\ \ \ \ \ 17\cdot(n+31)=357\ /:17\\\\n+31=21\\\\n=21-31\\\\n=-10[/tex]


Paha777 [63]3 years ago
3 0
"The sum of the number 'n' and 31" . . . . . (n + 31)

"17 times the sum" . . . . . 17(n + 31)

The equation . . . . . 17(n + 31) = 357
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Find values a and b that satisfy a∙〈5,-4,0〉+b∙〈2,2,-3〉=〈11,-16,-6〉.
WARRIOR [948]

The right hand side of the equation is 〈11 , -16 , 6〉

The values of a and b are a = 3 , b = -2

Step-by-step explanation:

If n . <a , b> + m . <c , d> = < x , y>, then

  • na + mc = x
  • nb + md = y

∵ a  ∙〈5 , -4 , 0〉 + b ∙ 〈2 , 2 , -3〉 = 〈11 , -16 , 6〉

- By using the rule above

∴ a(5) + b(2) = 11 ⇒ (1)

∴ a(-4) + b(2) = -16 ⇒ (2)

∴ a(0) + b(-3) = 6 ⇒ (3)

Use equation (3) to find the value of b

∵ a(0) + b(-3) = 6

∴ 0 - 3b = 6

∴ -3b = 6

- Divide both sides by -3

∴ b = -2

Substitute b in equation (1) or equation (2) to find a

∵ a(5) + b(-2) = 11

∴ 5a - 2b = 11

∵ b = 2

∴ 5a - 2(2) = 11

∴ 5a - 4 = 11

- Add 4 to both sides

∴ 5a = 15

- Divide both sides by 5

∴ a = 3

To check your answer substitute a and b in equation (2)

∵ a(-4) + b(2) = -16

∴ -4a + 2b = -16

∵ a = 3 , b = -2

∵ The left hand side is -4a + 2b = -4(3) + 2(-2) = -12 - 4 = -16

∵ The right hand side is -16

∴ L.H.S = R.H.S

∴ The values of a and b are 3 , -2

The values of a and b are a = 3 , b = -2

Learn more:

You can learn more about the equations in brainly.com/question/11306893

#LearnwithBrainly

8 0
3 years ago
10) through: (3.-1). slope = -1​
Naddika [18.5K]

Answer:

y = -x + 2

Step-by-step explanation:

The question is to find the equation of the line going through the points (3,-1) and has a slope of -1.

First, the equation of a line is given as:

Equation = y = mx + b

Where

m is the slope

b is the y-intercept (y-axis cutting point)

We know the slope, so the equation becomes:

y = mx + b

y = -1x + b

y = -x + b

Now the point given is in the form (x,y), so

x = 3

y = -1

We substitute and find b:

y = -x + b

-1 = -3 + b

-1 + 3 = b

b = 2

Final Equation:

y = -x + 2

6 0
3 years ago
Math help will give brainliest what is X and M angle A
Anna [14]
Supplementary = 180 degrees...

A + B = 180

3x + 12 + 7x + 38 = 180

10x + 50 = 180

10 x = 130

x = 13 

To find the A just substitute x in...

 
3 ( 13) + 12  

A = 51

To check substitute the x..

A + B = 180

3(13) + 12 + 7(13) + 38 = 180
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3 0
3 years ago
Find c in the equation <br> 8c=14-0.5(10c+2)
kozerog [31]
8c = 14 - 5c - 1
13c = 13
c = 1
6 0
2 years ago
The probability of a train arriving on time and leaving on time is 0.8. The probability of the same train arriving on time is 0.
lys-0071 [83]
To help you with this topic, I would suggest you revise probability trees.

P(train arriving) = 0.8
P(train arriving on time) = 0.84
P(train arriving late) = 0.86

0.8 x 0.86 = 0.688

Answer: 0.688

Hope it helped :)
8 0
3 years ago
Read 2 more answers
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