The number is 6.25.
We will set up an equation for this. Let x be the unknown number. Subtracting 1.05 from it gives us
(x-1.05)
Multiplying the difference by 0.8 would give us
0.8(x-1.05)
Adding 2.84 to the product would give us
0.8(x-1.05)+2.84
Dividing the sum by 0.01 would give us
[0.8(x-1.05)+2.84]/0.01 = 700
We will start working backward, cancelling the division by 0.01 first by multiplying:
([0.8(x-1.05)+2.84]/0.01)*0.01 = 700*0.01
0.8(x-1.05)+2.84 =7
Subtract 2.84 from both sides:
0.8(x-1.05)+2.84-2.84 = 7-2.84
0.8(x-1.05) = 4.16
Use the distributive property on the left side:
0.8*x - 0.8*1.05 = 4.16
0.8x - 0.84 = 4.16
Add 0.84 to both sides:
0.8x - 0.84+0.84 = 4.16+0.84
0.8x = 5
Divide both sides by 0.8:
0.8x/0.8 = 5/0.8
x = 6.25
Answer:hhthfgh
Step-by-step explanation:
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When solving a system of equations by graphing it, and there is no intersection between the lines, then it has no solutions.
Answer:
<em>Thus, the values of x are 70° and 250°</em>
Step-by-step explanation:
<u>Trigonometric Functions</u>
The tangent is defined as:
Given a value for the tangent, there are two angles with the same tangent, one of them being 
and the other +180°.
We are given:
The angle is the inverse tangent:
Using a scientific calculator, we find the first angle:
x=70°
The second angle is found adding 180°:
x=70°+180°=250°
Thus, the values of x are 70° and 250°
