Will ran the longest
He ran for 56.57 yards, 13.56 yards longer than James.
Step-by-step explanation:
Step 1 :
Will ran the diagonal across a square field measuring 40 yards in each side.
The diagonal of a square can be obtained by the square root of the sum of the squares of its 2 sides [Because it forms the hypotenuse of a right angle triangle]
Hence when the side is 40 yards , the diagonal would be
So Will ran for 56.57 yards
Step 2 :
James ran the diagonal of a rectangular field with 25 yards length and 35 yards width.
The diagonal of the rectangle can be obtained by the square root of the sum of squares of its length and width.
Hence when the length is 25 yards and width is 35 , the diagonal would be
yards
So James ran for 43.01 yards
Step 3 :
Will ran for 56.57 yards and 43.01 yards.
Hence Will ran for longer distance of 56.57 yards, which is 13.56 yards more than James.
Answer:
<em>The price is the same at both stores for 2 prints.</em>
Step-by-step explanation:
<u>Equations</u>
Let's set the variable
x = number of photo prints
Company Photo Plus charges $2 for each print and $6 for a processing fee, thus the total charges are:
PP = 6 + 2x
Company Picture Time charges $3 for each print and $4 for a processing fee, thus it charges a total of:
PT = 4 + 3x
It's required to find the number of prints that make both stores charge the same. Equating both functions:
6 + 2x = 4 + 3x
Subtracting 2x and 4:
x = 2
The price is the same at both stores for 2 prints.
Answer:
y = -28 ÷ x
Step-by-step explanation:
The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = 7 when x = -4 and y varies inversely with x.
So we substitute the values y = 7 and x = -4 in the equation y = k ÷ x
K = constant, we have to work this out
7 = k ÷ -4
7 × - 4 = k
k = - 4 × 7
k = -28
k = -28 So then we put this back into the original y = k ÷ x to find our final equation which is y = -28 ÷ x
5/8=.625 and 7/15=.466 repeating so 5/8 is a bigger fraction
