(6/13)𝑥 = 51 multiply both sides by 13/6

x = 51 (13/6) = 663 / 6

45.1 + 21.5𝑥 = 125.6 multiplly through by 10 to clear the decimals

451 + 215x = 1256 subtract 451 from both sides

805 = 215x divide both sides by 215

805 / 215 = x = 161 / 43

Matt wants to walk his dog around the block. The block has a rectangle shape. The dimensions of the block is 3 miles long and 2450 yards wide. How many feet would Matt walk if he walked his dog around the block two times? Write an equation and solve for x.

There really isn't any "x" to solve for....we just need to convert miles and yards to feet

1 mile = 5280 ft....so 3 miles = 3 * 5280 = 15840 ft

1 yard = 3 ft.......so 2450 yards = 2450 * 3 = 7350 ft

One complete trip comprises the perimeter of a rectangle that is 15840 x 7350

So......one trip around the block is equal to the perimeter of this rectangle = 2 [ 15840 + 7350 ] = 46380 ft

So....two trips is twice as far = 2 * 46380 = 92760 ft

A number to the second power is 7 less, than the quotient of forty-two over 8. Write an equation to represent the problem.

Let N be the number.....so we have that

N^2 + 7 = 42 / 8

134x+(-100)= 112, Solve for x

Add 100 to both sides

134x = 212 divide both sides by 134

x = 212 / 134 = 106 / 67