In total, Anna paid $619 in payroll taxes last month. That amount included $270 in federal income tax and $166 in state income t
1 answer:
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Answer:
Step-by-step explanation:
To solve for the given variable , we need to get
on one side of the equation by itself. To do so, we need to remove the -16 that is on the same side of the variable.
To get rid of the -16, we can add a 16 to that side of the equation since , which will get
by itself; however, if we add -16 to one side of the equation, we must add it to both sides of the equation:
Answer:
Each student ticket costs $8.33
Each adult ticket costs $15.34
Step-by-step explanation:
At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?
s = cost of each student ticket
a = cost of adult ticket
Our system of equations:
4s + 2a = 64
3s + 3a = 71
-3(4s + 2a = 64) ==> -12s - 6a = -192
2(3s + 3a = 71) ==> 6s + 6a = 142
-12s - 6a = -192
6s + 6a = 142
-6s = -50
/-6 /-6
s = $8.33 (the cost of each student ticket)
Now, let's find the cost of each adult ticket:
4s + 2a = 64
4(8.33) + 2a = 64
33.32 + 2a = 64
-33.32 -33.32
2a = 30.68
/2 /2
a = 15.34 (the cost of each adult ticket)
(x, y) ==> (8.33, 15.34)
Check your answer:
4s + 2a = 64
4(8.33) + 2(15.34) = 64
33.32 + 30.68 = 64
64 = 64
This statement is true
Hope this helps!
Answer:
Equation: y=2x-1
Slope: 2
y-intercept: -1
Step-by-step explanation:
Hi there!
We are given the points (-1, -3) and (-2, -5). We need to find the slope, equation of the line, and the y intercept of the line
First, let's find the slope
The formula for the slope (m) calculated from two points is where (
,
) and (
,
) are points
We have everything we need for the formula, but let's label the values of the points to avoid any confusion
x1=-1
y1=-3
x2=-2
y2=-5
Now substitute into the formula (remember: the formula has SUBTRACTION):
m=
simplify
m=
add
m=
divide
m=2
So the slope is <u>2</u>
Now let's find the equation of the line
The question asks for it to be in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We calculated the slope from earlier, so let's substitute that into the equation
y=2x+b
Now we need to find b
The equation will pass through both (-1, -3) and (-2, -5) so we can use either one of them to solve for b (doesn't matter which one)
Let's take (-1, -3) as an example
substitute -1 as x and -3 as y into the equation
-3=2(-1)+b
multiply
-3=-2+b
Add 2 to both sides
<u>-1=b (the value of the y intercept!) </u>
Substitute -1 as b into the equation
<u>y=2x-1</u>
We found everything needed for this problem
Hope this helps!