Answer:
$42.58
Step-by-step explanation:
You would multiply the price of the item (45.79) by the percentage as a decimal (0.07) and subtract the product.
in this case:
45.79x0.07 = 3.205 (rounded 3.21)
45.79-3.21 = 42.58
<span>1) 3x-2=x+10
</span><span>Now, lets solve this step-by-step.
</span><span>
3x - 2 = x + 10
-x -x
</span><span>
</span><span>3x - x = 2x 2x - 2 = 10
</span><span>
</span><span>2x - 2 = 10
</span>2x - 2+2 = 10+2 The inverse operation helps isolate the variable.
<span>
2x = 12
2x/2 = 12/2
x = 12/2
x = 6</span><span>
Answer: x = 6
2) x + 4 = 19 - 2x </span>
We can solve this much faster
x + 4 = 19 - 2x
+2x
x+2x = 3x
3x + 4 = 19
-4 -4
19-4 = 15
3x= 15
3x/3 = 15/3
x= 5
Answer: x = 5
3) <span>8x - 20 = x + 15
Much faster now!!
8x - 20 = x + 15
-x
8x-x = 7x
7x - 20 = 15
+20 +20
15+20 = 35
7x = 35
7x/7 = 35/7
x = 35/7
x = 5
Answer: x= 5</span>
The solution to the system of equation graphed is (-1, -3)
<h3>Solution to system of equation</h3>
Given the system of equations graphed on the plane expressed as:
f(x) = 3x
g(x) = 4x + 1
Equate
f(x) = g(x)
3x = 4x + 1
3x - 4x = 1
-x = 1
x = -1
Determine the value of y
y = 3x
y = 3(-1)
y = -3
Hence the solution to the system of equation graphed is (-1, -3)
Learn more on system of equation here: brainly.com/question/847634
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Q1: The perimeter of the triangle is a + b + c and if each side is the same then it's 3a. In this situation we may write it in its simplest form as 9m. Note that 3(3m) is also correct but it's not the simplest form.
Q2: You're correct, the distributive property of 3(3m) can be written as 3 (2m + m).
Sarah’s monthly salary would be $3,080.
