Answer:
Cost of Hats = $15
Cost of Scarves = $8
Step-by-step explanation:
Let
Cost of Hats = x
Cost of Scarves = y
5x + 3y = 99 (1)
3x + 5y = 85 (2)
Multiply (1) by 5 and (2) by 3
25x + 15y = 495
9x + 15y = 255
Subtract
25x - 9x = 495 - 255
16x = 240
Divide both sides by 16
x = 240 / 16
= 15
x = $15
Substitute x = 15 into
5x + 3y = 99
5(15) + 3y = 99
75 + 3y = 99
3y = 99 - 75
3y = 24
y = 24/3
= 8
y = 8
Cost of Hats = $15
Cost of Scarves = $8
Simply rearrange the terms and simplify.
Subtracting 4x from both sides, we have:
-11y=-4x-6
Dividing by -11, we have:

This is in the proper form, so this is our final equation.
First, we need to find 33% of $402. (132.66)
Now since it's 33% less than before, we need to add how much the price was reduced by.
402+132.66= 534.66
The original price was $534.66
Answer:
10.2 grams
Step-by-step explanation:
Gemma had 25.75 grams of frosting
Used 15.5 grams
Left over:
25.75 - 15.5 = 10.2 grams
Step-by-step explanation:
To find the X intercept, replace y with 0 and solve for x:
9x + 21(0) = 16
9x = 16
x = 16/9
To find the Y intercept, replace x with 0 and solve for y:
9(0) + 21y = 16
21y = 16
y = 16/21
X-intercept is 16/9
y intercept is 16/21