Twice the sum of a number and four is equal to seven times the number decreased by twenty two. What is the number?

6

Step-by-step explanation:

Sum is the same as addition, so if our number is x then:

Twice the sum of a number and four is

2 (x + 4)

Seven times the number decreased by twenty two is

7x - 22

We write it:

2(x + 4) = 7x - 22

Solve for x.

2(x + 4) = 7x - 22 Multiply out

2x + 8 = 7x - 22   Add 22 to each side so the 22 on the right cancels.

2x + 8 + 22 = 7x - 22 + 22

2x + 8 + 22 = 7x

2x + 30 = 7x   Subtract 2x from each side so that 2x on the left cancels.

2x - 2x + 30 = 7x - 2x

30 = 7x - 2x

30 = 5x  Divide each side by 5

30/5 = 5x/5

30/5 = x

6 = x

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.