Answer:
the graph in the attached figure
Step-by-step explanation:
we have
![7x+3y](https://tex.z-dn.net/?f=7x%2B3y%3C6-5x)
isolate the variable y
Subtract 7x both sides
![3y](https://tex.z-dn.net/?f=3y%3C6-5x-7x)
![3y](https://tex.z-dn.net/?f=3y%3C-12x%2B6)
Divide by 3 both sides
![y](https://tex.z-dn.net/?f=y%3C-4x%2B2)
The solution of the inequality is the shaded area below the dashed line
The equation of the shaded line is ![y=-4x+2](https://tex.z-dn.net/?f=y%3D-4x%2B2)
The slope of the dashed line is negative ![m=-4](https://tex.z-dn.net/?f=m%3D-4)
The y-intercept of the dashed line is the point ![(0,2)](https://tex.z-dn.net/?f=%280%2C2%29)
The x-intercept of the dashed line is the point ![(0.5,0)](https://tex.z-dn.net/?f=%280.5%2C0%29)
To graph the inequality plot the intercepts and shade the area below the dashed line
using a graphing tool
the graph in the attached figure
Answer:
18 Skittles
6 M&Ms
Step-by-step explanation:
Set up an equation:
Variable x = number of skittles
Variable y = number of M&Ms
1.50x + 2y = 39
x + y = 24
In the second equation, isolate a variable:
x = 24 - y
Substitute the value of x for 24 - y in the first equation:
1.50(24 - y) + 2y = 39
Use distributive property
36 - 1.5y + 2y = 39
Combine like terms
36 + 0.5y = 39
Isolate variable y:
0.5y = 3
y = 6
Substitute the value of y for 6 in the second equation:
x + 6 = 24
Isolate variable x:
x = 18
Plug these values into any equation of your choice to see if these values are correct (I'll do both equations just to prove it):
1.50(18) + 2(6) = 39
27 + 12 = 39
39 = 39
Correct
x + y = 24
18 + 6 = 24
24 = 24
Correct
Answer:
$160
Step-by-step explanation:
Part A-
Step 1: 6(2k+5) - 20
Step 2: 6(2k) + 6(5) - 20
Step 3: 12k + 30 - 20
<h2><u>
12k + 10</u></h2><h2><u>
</u></h2><h3>Part B-</h3><h3>12(12.50) + 10</h3><h3>150 + 10</h3><h2><u>$160</u></h2>
The slope of y= 1/2x-7 is always positive because since the slope of this equation is “1/2”, 1/2 is always positive.
Answer:
Total amount earned = $84
Step-by-step explanation:
The correct expression is
Total amount earned = 80 + 4% of (t - 400)
= 80 + 0.04(t - 400)
where,
t = her sales total in dollars
Total amount of money that she will make for sales of $500
Total amount earned = 80 + 0.04(t - 400)
= 80 + 0.04(500 - 400)
= 80 + 0.04(100)
= 80 + 4
= 84
Total amount earned = $84