When four times a number is decreased by 7, the result is 1. What is the number?

Mathematics

1 answer:

Shalnov [3]3 years ago

6 0

Answer: The number is 1.

Step-by-step explanation:

create the formula from the problem

4x -7 = 1

move the seven to the other side by adding seven to both sides

4x (+7) -7 = 1 (+7)

4x = 8

then to get the x by itself, divide both sides by 4

4x/4 = 8/4

x = 2

You can check your work by plugging the x back into the original problem

4 (2) -7 = 1

8 -7 = 1

1 = 1 (this means it is correct)

You might be interested in

Use implicit differentiation to find the points where the circle defined by x^2+y^2−6x−4y=-4 has horizontal and vertical tangent

Inga [223]

Implicit differentiation: 2x+2ydy/dx-6-4dy/dx=0. When dy/dx=0, we have a horizontal tangent.
So 2x-6=0 and x=3. To find y we solve 9+y²-18-4y=-4, y²-4y-5=0=(y-5)(y+1), so the points are (3,5) and (3,-1).
2xdx/dy+2y-6dx/dy-4=0. When dx/dy=0 we have a vertical tangent, so 2y=4, y=2, and x²+4-6x-8=-4, x²-6x=0, x=0 and 6.
The points are (0,2) and (6,2).

8 0

4 years ago

Lines are L and M are parallel. Find m<1

Scilla [17]

$HEY THERE!!$

AS L || M

so here 38° + m<1 = 180°

so m<1 = 180°-38°

m<1 = 142°

But if you r asking what would be there in place of green box then your answer is 142 .

HOPE IT HELPED YOU.

3 0

4 years ago

Find the coordinates of the midpoint of the segment with the given endpoints A(1,2) and B(3,6).

Paha777 [63]

midpoint = (2, 4 )

using the midpoint formula

midpoint = [ $\frac{1}{2}$ (1 + 3 ), $\frac{1}{2}$ (2 + 6 )] = (2, 4)