Let x represent the number of short-sleeved shirts ordered and let y represent the number of long-sleeved shirts ordered. Which system of linear equations represents the situation? 5x + 10y = 100 and 5 x plus 10 y equals 100 and StartFraction one-third EndFraction x plus StartFraction one-half EndFraction y equals 1,750.x + StartFraction one-half EndFractiony = 1,750
5x + 10y = 1,750 and 5 x plus 10 y equals 1,750 and StartFraction one-third EndFraction x plus StartFraction one-half EndFraction y equals 100.x + y = 100
x + y = 100 and x plus y equals 100 and StartFraction one-third EndFraction x plus StartFraction one-half EndFraction y equals 1,750.x + y = 1,750
x + y = 1,750 and x plus y equals 1,750 and StartFraction one-third EndFraction x plus StartFraction one-half EndFraction y equals 100.x + y = 100

d

step-by-step explanation:

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

111

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240