Answer:
T-shirts and
Baseball Caps
Step-by-step explanation:
GIVEN: The ninth graders at a high school are raising money by selling T-shirts and baseball caps. The number of T-shirts sold was three times the number of caps. The profit they received for each T-shirt sold was
, and the profit on each cap was
.
TO FIND: If the students made a total profit of
, how many T-shirts and how many caps were sold.
SOLUTION:
Let the total number of T-shirts sold are 
Let the total number of Baseball Caps sold are 
Profit received on each T-shirt 
Profit received on each Baseball Caps 
Total profit received on T-shirts 
Total profit received on Baseball Caps 

Also,
The number of T-shirts sold was three times the number of caps.

putting in equation,





Hence total
t-shirts and
baseball Caps were sold.
Answer:
7
Step-by-step explanation: Numerator of first fraction times 4 equals numerator of second fraction. So second denominator divided by 4 is 7.
Solving for y, we can start by expanding to get y-3=5x-20. Next, we can add 3 to both sides (to separate y), resulting in y=5x-17. To find the slope in the equation y=mx+b, you simply find what you multiply x by, which is 5 in this case. To find a perpendicular slope, you start by making the slope (5 in this case) negative. Next, we find the reciprocal of the number. Since -5 can be written as -5/1, the reciprocal and therefore perpendicular slope is -1/5
Answer:
Option 2: none of these
Step-by-step explanation:
-x +2y= 4
x-intercept occurs at y=0.
When y=0,
-x +2(0)= 4
-x= 4
x= -4
Thus, x-intercept is (-4,0).
y-intercept occurs at x=0.
When x=0,
0 +2y= 4
2y= 4
y= 4 ÷2
y= 2
Thus, y-intercept is (0,2).
*When writing coordinates, the x and y coordinates are separated by a comma in the bracket. If the 3rd option is a comma instead of a dot (which could instead denote a multiplication sign), it would be the correct option.