6. A landscaping company ordered 13 plants and 4 trees for a total of $487. If plants are $8 each write and solve a linear equation to find the cost for each tree

95.75

Step-by-step explanation:

13x + 4y = 487

13*8 + 4y = 487

4y = 487 - 13*8

y = (487 - 13*8)/4

y = dollars per tree = 95.75

trees are $95.75

Step-by-step explanation:

13(8) + 4t =487

104 + 4t= 487

104 -104 + 4t = 487 -104

4t = 383

4/4t = 383/4

t = 95.75

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).

took the test it's 94