Answer:
Step-by-step explanation:
A)
This is the 30% discount:
$39.99 x .30 = $11.997; The discount is $11.997
Price of headphones after the discount:
$39.99 - $11.997 = $27.99
Now we need to calculate the 6% sales tax on the discounted price.
$27.99 x .06 = $1.68 (rounded off)
Dalton paid $1.68 in sales tax on the discounted price.
B)
The total price Dalton paid for the headphones will be the discounted price plus the sales tax.
$27.99 + $1.68 = $29.67
Total price Dalton paid: $29.67
Answer:
The total members in the Spanish Club = 50
Step-by-step explanation:
Let the total members in the Spanish Club = x
Now, number of girls in the club = 30
Three-fifths of the members are girls.
⇒
of total members x = 30
or, ![(\frac{3}{5}) \times x = 30\\](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B5%7D%29%20%20%5Ctimes%20%20x%20%3D%20%2030%5C%5C)
Now, solving for x, we get:
![x = 30 \times\frac{5}{3} = 50](https://tex.z-dn.net/?f=x%20%3D%2030%20%5Ctimes%5Cfrac%7B5%7D%7B3%7D%20%20%20%3D%2050)
or, x = 50
Hence,the total members in the Spanish Club = 50
Answer:
Question one: Zero slope
Question two: ![m=\frac{0}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B0%7D%7B4%7D)
Step-by-step explanation:
Given the following questions:
<u>Question one:
</u>The following line is what you call a "zero slope." Zero slopes are lines that are neither decreasing or increasing and remain at a constant or just a straight line.
Question two:
Point A = (-2, -3) = (x1, y1)
Point B = (2, -3) = (x2, y2)
Using the formula for slope or rise over run we will solve and find the slope of this line.
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
![m=\frac{-3--3}{2--2} =\frac{0}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-3--3%7D%7B2--2%7D%20%3D%5Cfrac%7B0%7D%7B4%7D)
![m=\frac{0}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B0%7D%7B4%7D)
The slope of this line is "0/4."
Hope this helps.
X+y=6 subtract x from both sides
x=6-y, now use this value of x in the second equation:
2(6-y)+y=4 perform indicated multiplication on left side
12-2y+y=4 combine like terms on left side
12-y=4 subtract 12 from both sides
-y=-8 divide both sides by -1
y=8, now use this y in either original equation to solve for x, I'll use x+y=6
x+8=6 subtract 8 from both sides
x=-2
So the solution to the system of equations is the point (-2, 8)