Answer: x=0.25
Step-by-step explanation: 1−8x=−16x2
Simplify both sides of the equation.
−8x+1=−16x2
Subtract -16x^2 from both sides.
−8x+1−−16x2=−16x2−−16x2
16x2−8x+1=0
16x2+−8x+1=0
Use quadratic formula with a=16, b=-8, c=1.
x=
−b±√b2−4ac
2a
x=
−(−8)±√(−8)2−4(16)(1)
2(16)
x=
8±√0
32
x=0.25
Here we have 2 variables we need to calculate:
x - how many Volvos Jane sold
y - how many Volvos Melissa sold
We write system of equations:
x = 8*y
x - y = 35
------------
8y - y = 35
7y = 35
y = 5
x = 8*5 = 40
Jane sold 40 cars.
Answer:
Distance = 73 m
Step-by-step explanation:
Given that,
The length of a rectangle = 48 m
The width of a rectangle = 55 m
We need to find the diagonal distance. We can use the Pythagoras theorem to find it.
So, the required distance is equal to 73 m.
The amount Tyshawn earn per hour is $13.5
<h3>Ratio and proportion</h3>
Fractions are written as a ratio of two integers
If after working 80 hours at his job, Tyshawn earned a total of $1080, then;
80 hrs = $1080
In order to calculate the amount earned per hour
Amount per hour = 1080/80
Amount per hour = $13.5
Hence the amount Tyshawn earn per hour is $13.5
Learn more on ratio here: brainly.com/question/25927869
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The expression can be solved by expanding the bracket and multiplying out the terms
Therefore, the expression can be simplified as;
Alternatively, using the theorem of difference of two squares, which is
Hence,
