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
Answer: C
Step-by-step explanation: The standard equation is Ax + By = C
To solve for this, first solve for the slope: y2 - y1 / x2 - x1
0 - 5 / 4 - 0 = -5 / 4
Plug the slope and ordered pair of (0, 5) into the equation y - y1 = m(x - x1)
y - 5 = -5/4(x - 0)
Add 5 to both sides: y = -5/4x + 5
Subtract y and 5: -5 = -5/4x - y
Multiply the entire equation by 4: -20 = -5x - 4y
(or multiply entire equation by -4 to get 20 = 5x + 4y)
Answer:
The slope-intercept form is y = 7x + 3
Step-by-step explanation:
Remember: Perpendicular lines slope are negative reciprocals of each other.
y = -1/7x + 4.
Now you know the slope of the given line is -1/7.
So the slope of the perp line is 7/1 = 7 .
Use the given point (-1, -4) and the perp slope = 7 into y =mx + b and solve for "b".
y = mx + b
-4 = 7(-1) + b
-4 = -7 + b
-4 + 7 = b
3 = b
The slope-intercept form is y = 7x + 3
Answer:If the digit of 0 is allowed, then:
1/(10*9*8)= 1/720
If it is not permitted, then:
1/(9*8*7)= 1/504
I hope this helps you!
Step-by-step explanation:
