The sum of integers x and y is 280. if x is divided by 7, the quotient is y. what is the value of x?

x = 245

Step-by-step explanation:

The sum of integers x and y is 280; x + y = 280

If x is divided by 7, the quotient is y; x/7 = y so x = 7y

Now you have 2 equations:

x + y = 280

x = 7y

Substitute x = 7y into x + y = 280

7y  + y = 280

8y = 280

y  = 35

x = 7(35)

x = 245

Answer

x = 245

Step-by-step explanation:

x + y = 280

x/7 = y                      Multiply both sides by 7

x/7 * 7 = 7*y

So x = 7y

Put 7y into the top equation.

7y + y = 280

8y = 280                   Divide both sides by 8

8y/8 = 280/8            

y = 35

x + y = 280

x + 35 = 280

x + 35 - 35 = 280 - 35

x = 245  

22.8 m/s at 17.4°

Step-by-step explanation:

Horizontal component:vₓ = 3 + 20 cos 20° = 21.8Vertical component:vᵧ = 0 + 20 sin 20° = 6.84Magnitude:v² = vₓ² + vᵧ²v² = (21.8)² + (6.84)²v = 22.8 m/sDirection:θ = atan(vᵧ / vₓ)θ = atan(6.84 / 21.8)θ = 17.4°

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