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Elenna [48]
1 year ago
13

Eight more than seven times a number is equal to four more than five times the number. What is the number?

Mathematics
2 answers:
Alex17521 [72]1 year ago
8 0

Answer: -2

Step-by-step explanation:

convert it to a equation:

7x+8=5x+4

move x's to a side and numbers to the other

2x=-4

divide by 2

x=-2

Digiron [165]1 year ago
8 0

Let us consider the number to be 'n'.

<u>Given condition</u> :

  • 7n + 8 = 5n + 4

<u>Subtract '5n' from each side</u> :

  • 7n + 8 - 5n = 5n + 4 - 5n
  • 2n + 8 = 4

<u>Subtract '8' from each side</u> :

  • 2n + 8 - 8 = 4 - 8
  • 2n = -4

<u>Divide '2' from each side</u> :

  • 2n/2 = -4/2
  • \fbox {n = -2}

∴ The number is -2.

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2 years ago
The line through (4,-1) and (k,5) is parallel to the line y=-3x+5. FInd the value of k.
Tema [17]

Answer:

k = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 5 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus the 2 points have a slope of - 3

calculate the slope using the slope formula and equate to - 3

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)

m = \frac{5+1}{k-4} = \frac{6}{k-4} = - 3 ( multiply both sides by (k - 4) )

- 3(k - 4) = 6 ( divide both sides by - 3 )

k - 4 = - 2 ( add 4 to both sides )

k = 2

3 0
3 years ago
Savannah was paid $87 for 12 hours of babysitting and $65.25 for 9 hours. What is the constant of proportionality that describes
antoniya [11.8K]
12 hours worth $87

1 hour would be  $87/12 = $7.25


9 hours worth $65.25

1 hour would be  $65.25/9 = $7.25


The constant of proportionality is  $7.25 per hour.
7 0
3 years ago
How do I solve for X?
ladessa [460]

All the angles should add up to 360°.

8x+10x+9+21x-12+90=360°

Group like terms together.

So,8x+10x+21x+9+90-12=360

39x+87=360

39x=360-87

39x=273

x=7

3 0
2 years ago
Find the value of x at tan x = 1<br> a) x = 0°<br> b) x = 180°<br> c) x= 45°<br> d) x=90°
rewona [7]

Answer:

C

Step-by-step explanation:

Hope it helps you.......

8 0
3 years ago
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