Amy has $30 to spend she wants to buy 3 pounds of lemons at two dollars per pound a box of rice for four dollars and seven frozen dinners for three dollars each Will Amy have one dollar left over

Amy will not have one dollar left over , but she will have to add an extra dollar to buy all that stuff.

Step-by-step explanation:

First find  the cost of the items she want to buy in total.

So she wants to buy 3 pound  of lemons at two dollars per pound that will cost her $6.

Seven frozen dinners for three dollars each will cost her  $21.

The box of rice will cost her  $4.

Add the total cost together.

21 + 4 + 6 = 31  

This means she will have to spend $31 in total and that is beyond her budget which is $30  dollars. This also means that Amy will not have one dollar left over but she will need to add one dollar.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).